Spectral Imager of the Solar Atmosphere: The First Extreme-Ultraviolet Solar Integral Field Spectrograph Using Slicers

: Particle acceleration, and the thermalisation of energetic particles, are fundamental processes across the universe. Whilst the Sun is an excellent object to study this phenomenon, since it is the


The Need for Solar Integral Field Spectrographs in the Extreme Ultraviolet
Particle acceleration is a fundamental process arising in many astrophysical objects including active galactic nuclei, black holes, neutron stars, γ ray bursts, accretion disks, solar and stellar coronae, and planetary magnetospheres.
In our solar system, the Sun is the most energetic particle accelerator.Its proximity makes it a unique laboratory with which to explore the physics of energetic particles, which has wider importance in understanding astrophysical particle acceleration more generally.However, despite its importance and past observations, the physics underlying solar particle acceleration remains poorly understood.For the study of solar particle acceleration and the evolution of solar eruptive events (solar flares and coronal mass ejections, CMEs), it is useful to observe in the extreme ultraviolet (EUV) regime, since this wavelength range contains a number of emission lines that allow the corona and transition region to be probed and whose profiles allow the presence of non-Maxwellian particle distributions to be diagnosed.Additionally, the plasma response following the thermalisation of these energetic particles can be dramatic, with resulting heating, ionisation, mass flows, and turbulence, all of which can be diagnosed with EUV spectroscopic observations, e.g., Refs.[1][2][3][4].The plasma in the solar corona is typically fully ionised because of the megaKelvin plasma temperatures.Such hot plasma contains ions that emit brightly in EUV wavelengths (λ∼100-1200 Å).
Measurements in the EUV can be used to characterise the temperature, density, elemental composition, and the turbulent state of the plasma in the upper solar atmosphere, for both the quiet and active Sun.Plasma density can be diagnosed through the observation of density sensitive line ratios in all coronal features, from the quiet Sun and coronal holes to active regions, flares, jets, and coronal mass ejections.The measurements of densities in the corona are fundamental for understanding how the corona is heated.For example, the commonly observed over-density of coronal loops indicates that the corona is heated impulsively, by multiple small energy release events along a given magnetic flux tube [5][6][7][8], possibly recurring on short timescales.However, the coronal response to individual heating events, including possible transient density enhancements, is so far almost impossible to observe due to the lack of spatial coverage and resolution.
The EUV measurements are also key for understanding how the heated solar corona transitions into the solar wind.Measuring electron densities during transient processes like solar flares also allows us to understand the timescales of ionisation processes that occur during the conversion of magnetic energy to the kinetic energy of accelerated particles, which, in the standard solar flare model, occurs following magnetic reconnection, sometimes with impulsive, bursty nature as observed in, e.g., the review [1].
The traditional method for performing solar imaging spectroscopy in the EUV, e.g., Refs.[9,10] has been to use a slit spectrograph and a scanning mechanism to cover a larger field of view.Whilst 'sit-and-stare' observations can be produced within seconds for a strongly emitting EUV line from one location, the traditional slit scanning spectrograph takes minutes to create a spectrum across a 2D spatial region of the Sun depending on the desired field of view.Using integral field spectroscopy (IFS), all the spectra of a 2D field of view will be obtained simultaneously, reducing the integration time by over two orders of magnitude and without the requirement for any rastering mechanism.We aim to achieve this with SISA applying the image slicer technology.An image slicer is an integral field unit, also known as IFU, which decomposes a 2D field of view by using an array of narrow rectangular mirrors (slicer mirrors) at the telescope focal plane using different orientations to reflect slices of the image in different directions.The slicer mirrors can be flat or powered and their width defines the sampling and impacts both spatial and spectral resolutions.
Additional arrays of mirrors are used to focus these beams generating the spectrograph entrance slit, producing the desired magnification and controlling the location of the exit pupil.For SISA, in order to optimise efficiency, only the slicer mirror array is used.Thus, the concept presented in this paper combines the surfaces of the IFU with those of the spectrograph.We also note that a novel solar ultraviolet IFS concept will be used for the first time during the Solar Eruption Integral Field Spectrograph (SNIFS) NASA sounding rocket launch in Spring 2024 [11,12].
SISA is a proposal for a novel integral field spectrograph using slicers for the first time ever in the extreme ultraviolet spectral range.This manuscript presents the science cases that would benefit from this instrument, as well as the conceptual layout, whose main components are currently at a research and development stage to increase the technology readiness level (TRL) to enable this technology for space applications in the EUV.

SISA Science in the SPARK Framework
SISA is envisioned as one component of a suite of complementary instruments that together form The Solar Particle Acceleration Radiation and Kinetics (SPARK) mission concept, along with the Large Imaging Spectrometer for Solar Accelerated Nuclei (LISSAN) and the Focusing Optics X-ray Solar Imager (FOXSI) instruments, both of which target high-energy X-ray and γ-ray emission.SPARK is designed to address the open questions regarding particle acceleration on the Sun.
SPARK will attack the problem of particle acceleration through a powerful combination of γ-ray, X-ray, and EUV imaging and spectroscopy at high spectral, spatial, and temporal resolutions.In addition to helping to address the physics of particle acceleration, SISA shall provide the critical measurements of plasma conditions (magnetic fields, temperatures, densities, and elemental composition) in the various coronal and flare structures, both preand post-reconnection.As these measurements are integral to understanding how the plasma responds to particle acceleration, and critical for understanding how and when flares occur, the SISA EUV integral field spectrometer is an crucial addition to the SPARK mission.The significant advantage of SISA with respect to previous EUV spectrographs is that it will enable these crucial measurements in an integral field regime, i.e., spectroscopic measurements simultaneously over a wide field of view.Below, we briefly discuss how this instrument contributes to the key science goals to be addressed by the SPARK mission:

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How does impulsive energy release events lead to accelerate particles in the solar atmosphere?SISA shall provide several measurements of accelerated particles in EUV, both electrons through line ratios (see Section 3.2) and ions through line profiles (see Section 3.3).The integral field spectroscopy of SISA will offer insights as to where and when the particles are accelerated, while the fast cadence will reveal how long they persist at a given location.Measuring the spatial distribution of the accelerated particles, and their relationship to magnetic field (see Section 3.1) and field-aligned emission structures, will also offer insights as to the conditions required for particle acceleration, both in solar flares and active-region corona.The fast-cadence SISA observations with multiple hot lines (Table 1) shall also clarify the relationship of particle acceleration to plasma heating.Finally, since the emission line profiles reflect the line-of-sight distribution of ion velocities, from zero to very high velocities, they provide key information about both the high-energy particles simultaneously with the low-energy end of the distribution, which is not accessible with either LISSAN or FOXSI instruments.

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How is impulsively released energy transported and dissipated in the solar atmosphere?Once heated, the hot flare plasma evolves rapidly on short timescales depending on the conditions.The hot flare lines observed by SISA cover some of the largest available temperatures via EUV line spectroscopy (Table 1) and are thus favourable for characterising the hot flare plasma and its evolution.Typically, the hot plasma is observed first above the chromospheric footpoints in the form of localised bright kernels, e.g., Refs.[13,14], from which the flare loops are filled.Indications exist, however, that these kernels located within bright flare ribbons can already be pre-heated by electron beams [15,16].These kernels have long been observed to move along ribbons, e.g., Refs.[17][18][19], which have been identified as a consequence of 3D slipping reconnection, e.g., Refs.[4,14,[20][21][22][23][24], where the field lines do not reconnect in an X-point, but slip (slide) past each other as they mutually exchange their connectivities see, e.g., Refs.[25][26][27].
The existence of this process implies that the location of the energy deposition into the lower solar atmosphere changes with time as the slipping reconnection proceeds.In the past, it has been extremely difficult to identify the spectroscopic signatures of this process due to the slit not being able (or designed) to track a particular moving (slipping) kernel.
Using sit-and-stare observations Li and Zhang [22] showed that the slipping reconnection is likely be related to periodic changes in the Si IV spectral line intensities accompanied by enhanced redshifts, as well as increased nonthermal widths, as individual kernels moved through the location of the slit.Recently, Lörinčík et al. [4] detected extremely short-lived blueshifts (upflows), lasting only seconds, and reaching about 50 km s −1 in chromospheric and transition-region lines, at the leading edges of the slipping kernels.The authors argued that such detection can be a matter of luck with slit spectrographs, as the slit has to be in the right place at the right time.The IFS provided by SISA shall be enormously helpful in this regard, as it can image the entire flare region and allow us to identify how the flaring atmosphere undergoing slipping reconnection responds at short temporal cadences, as well as enable the tracking of the spectral evolution of individual moving kernels as they slip along flare ribbons.In addition, the SISA thermal coverage would help in establishing whether the blueshifts at the leading edges of ribbons or individual kernels are related to the evaporation of hot flare plasma.
The fastest upflow velocities of the evaporating hot flaring plasma filling coronal loops are detected in the hottest flare lines [13], while the 'cooler' (T < ∼1 MK) lines show downflows at the same location, implying multi-directional flows that could occur due to rapid plasma evolution.The fast SISA cadence and the integral field spectroscopy, coupled with the available plasma diagnostics (Section 3), will provide key information on the thermal evolution of the heated plasma.For example, the diagnostics of electron density coupled with the measured timescales of plasma cooling will allow one to discern whether the plasma is in ionisation equilibrium, and at what times.Meanwhile, the emission line profiles will provide information on the presence and role of turbulence.Mass flows and the thermodynamic evolution of the atmosphere determined via spectroscopy can reveal much about the energy input into the lower atmosphere during flares, especially when combined with state-of-theart modelling.For example, flare observations from the Interface Region Imaging Spectrograph IRIS, as seen in Refs.[10,28], have been used in tandem with flare loop models to interrogate our understanding of flare processes [29,30].There is a major model-data discrepancy in the duration of the flare gradual phase, with models underpredicting the cooling time by an order of magnitude.SISA observations that provide plasma diagnostics over the full field of view, with high cadence, will help illuminate the source of the continued heating or energy input.Measurements of nonthermal line widths from lines formed at different temperatures will inform us about the roles of turbulence in suppressing thermal conduction, e.g., Ref. [31], and the potential role of Alfvén waves in flares, e.g., Refs.[32,33].SISA measurements will provide key diagnostics of processes that occur within flares on short timescales.For example, a key open question in the solar flare energy release is what drives "bursty" pulsations and the oscillatory signatures observed in flare emission, known as quasi-periodic pulsations (QPPs), reviews of which can be found in Refs.[34][35][36].QPPs and other oscillatory behaviour observed in flares have timescales ranging from sub-seconds to minutes, and are identified across the entire electromagnetic spectrum from radio, EUV [37], X-rays [38], and even γ-rays [39], essentially encompassing all aspects of the flaring process.The exact nature and underlying physical mechanism for the generation of these pulsations remains highly debated.It is suggested that they may be related to magnetohydrodynamic oscillations in/near the flare site, or possibly connected to the intermittent or time-dependent magnetic reconnection itself.Observational limitations of temporal cadences, spatial resolution, and saturation issues with EUV imagers have to date limited our ability to observationally identify the locations of the emission modulations and constrain the suggested models-both of which are directly linked to energy release and transport in solar flares.Some work has aimed to identify the spatial locations of the modulations, e.g., Refs.[22,37,[40][41][42], although there are limits to the temporal cadences and spatial diagnostics, for example, there is only spatial observation along the slit position.In order to correctly identify the mechanism producing QPPs, the characteristics of the temporal, spatial, and spectral properties of pulsations and their relationships across energy ranges and temperatures are required.The SISA EUV measurements, with its high temporal cadence and its ability to perform the imaging spectroscopy of the flaring region (rather than just over the slit), will allow us to observe rapid changes in the flaring regions such as these pulsations, with information regarding where and at what temperature they originate in the flare structure.Finally, although there is unambiguous evidence for the presence of nonthermal particles in flares, other mechanisms may also act to transport liberated magnetic energy.High-frequency Alfvén waves have been proposed as a means of transporting energy the magnetic reconnection site to the lower atmosphere and heating it, e.g., as shown in Refs.[43][44][45].Modelling has revealed that those waves do indeed heat the chromosphere, and drive explosive evaporation into the corona [46,47].While it is likely that MHD waves are produced during flares, which are fundamentally a large-scale change in the corona's magnetic field, the proportion of energy that manifests itself in the form of waves compared to energetic particles is not known.SISA's capability to measure the coronal magnetic field before, during, and after a flare will provide crucial information regarding field perturbations, density diagnostics, and the Alfvén speed, which will help to provide estimates of the Poynting flux carried by MHD waves.Furthermore, the nonthermal broadening of ions will also help constrain the Poynting flux see discussion, e.g., in Ref. [32].

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What are the physical origins of space weather events in the low-corona?Both coronal mass ejections (CMEs) and jets inject magnetic field and plasma into the heliosphere, where they disturb the solar wind flow.Although previous studies of CME source regions have provided details about the physical processes taking place once a CME has initiated, many questions remain regarding their initiation and similarities with smaller-scale flux rope eruptions within solar jets.Observing the initiation of both CMEs and jets spectroscopically is quite difficult with current or planned instrumentation for several reasons, including the use of a single slit, long exposure times, or limited diagnostics and temperature coverage provided by the available spectral lines.SISA will capture these processes at cadences down to a few seconds from every pixel within its entire field of view.This will allow us to identify the locations, spectral properties, plasma conditions, and thus the mechanisms behind the processes of CME and jet initiations.In larger eruptive events, SISA will be able to capture the entirety of the precursor phase of the associated flare.The spatial localisation of the precursors with respect to the subsequent flare and eruption allows for the identification of the CME initiation mechanism, whether by tethercutting, ideal MHD instability, or breakout, as can be seen in Ref. [48] for every flare observed.The high-temperature lines observed by SISA (Table 1) will provide information on the plasma properties during the onset of eruptive events, including the possibly constant, isothermal 10-15 MK onset temperatures detected by broadband X-ray instrumentation [49].These lines will also allow the quantification of plasma heating (via temperature and density measurements) as well as turbulence (via line broadening) in the precursor phase.

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How is the corona above active regions heated?It is currently thought that the solar corona is heated by individual impulsive "nanoflare" events that release small amounts of energy at either high or low frequencies, e.g., in Refs.[6][7][8]50,51].A key prediction of such impulsive energy release is the existence of small amounts of hot 5-10 MK plasma, which is difficult to detect spectroscopically with currently available instrumentation [52][53][54][55][56].The spectral range of SISA contains several hot lines (Table 1) that will provide stringent constraints on the amount of plasma reaching 10 MK temperatures.The Fe XVII and Ni XVII lines (Table 1) shall provide additional constraints.SISA will also work in tandem with the HXR and SXR observations to constrain the high-T component of the impulsive energy release by nanoflares.Another key observable of impulsive energy release is that the plasma should at least temporarily be out of thermal equilibrium, showing either the presence of accelerated particles, out-of-ionisation equilibrium plasma, e.g., Refs.[57][58][59][60], or both.The coronal Fe XI lines formed in both quiet Sun and active regions offer such diagnostics for electrons [61,62] while the line profiles of multiple ionisation stages shall provide information on ion velocity distribution [63][64][65][66].Furthermore, the temporal evolution of the line intensities of multiple ionisation stages obtained in high cadences in combination with electron density diagnostics (Section 3.7) shall provide information on both the presence of energy release events and constraints on the presence of non-equilibrium ionisation for multiple coronal structures at the same time, a feat not possible with current or planned instrumentation.Finally, it will become possible for the first time to tie all these measurements to the measurements of the underlying magnetic field (Section 3.1), thus allowing for discerning whether there are different heating mechanisms for different magnetic structures within the active and quiescent solar corona.

SISA EUV Measurements and Diagnostics
Based on these scientific cases, two spectral windows have been defined for SISA: λ = [178-184] Å and λ = 246-258 Å.There are numerous EUV spectral lines originating from a range of species that together allow a wide temperature coverage from the transition region through to coronal and flare plasma.Many density-sensitive line pairs are included within these windows, including at T > 10 MK, as are a pair of Fe X transitions whose ratio is proportional to the coronal magnetic field strength.Via the inclusion of Fe XI, the electron temperature and presence of non-Maxwellian electron distributions can be probed.There are also transitions of S and Ar to measure the FIP bias, relative to Fe lines, providing vital composition information.
Table 1 lists the spectral lines of interest, along with notes regarding the diagnostics they provide.There is some overlap with the EUV spectral lines observed by the Hinode/EUV Imaging Spectrograph EIS, as shown in Ref. [9], but with higher sensitivity, cadence, and simultaneous spatial coverage; for more details, see, e.g., Ref. [67].Whilst EIS requires an estimated 50 min to scan a 100 ′′ region with its 2 ′′ slit and 60 s exposures to obtain enough signal for coronal magnetic field measurements, SISA would obtain the same observations within a few seconds.
Once they thermalise, the energetic particles that carry flare energy from the corona to the transition region and chromosphere heats the local plasma.The intense heating subsequently leads to ionisation and drives mass flows: so-called chromospheric evaporation and condensation.Spectral lines from species forming at different temperatures are very useful in diagnosing the conditions of the plasma before, during, and after energy deposition.They can reveal gradients in density, bulk velocity and temperature.We have typically been restricted to observations in single locations, whether that be at the flare footpoints, along the loops, or at looptops.However, to understand the full story of where flare energy is deposited and how the plasma responds, simultaneous observations, at high-cadence, of the full flaring structure, would be transformative.

Magnetic Field Measurements
The solar coronal magnetic field can be measured via the recently identified Fe X 184.54/257.26Å line intensity ratio see, e.g., Refs.[68][69][70].While the former line is an allowed transition, the latter, Fe X 257.26 Å, is a blend of several intercombination transitions.In the presence of the external magnetic field, a new decay channel to the ground configuration 3s 2 3p 5 2 P 2/2 occurs due to the mixing of the upper metastable levels 3s 2 3p 4 3d 4 D 7/2 and 3s 2 3p 4 3d 4 D 5/2 [71].This magnetically induced transition (MIT) increases the intensity of the 257.26Å line, and allows for measurements of coronal magnetic field.This has already been performed using the solar EUV spectra measured by Hinode/EIS, revealing the presence of magnetic fields of up to several hundred Gauss in a C2-class flare [71] as well as in the solar coronal loops [72].
However, making such measurements routine using slit spectroscopy (as in the case of Hinode/EIS) is difficult, as the slit only samples a small portion of the solar atmosphere.In addition, the Fe X line at 256.26 Å is relatively weak, requiring long exposure times with previous instruments such as EIS.Finally, the diagnostic ratio is also sensitive to a range of parameters, such as the electron density and temperature, so additional diagnostic lines are needed.They are provided by SISA, as described below.
The SISA instrument shall allow for routine measurements of both Fe X lines in a wide field of view and at orders of magnitude faster cadence, providing revolutionary potential for magnetic field measurements both before, during, and after the reconnection process; that is, from the active region corona pre-reconnection to the post-reconnection flare loops.Such measurements will allow for the first time to provide a direct measurement of the magnetic energy released during the flare reconnection.

Electron Temperature and Nonthermal Diagnostics
To measure the result of transport effects on accelerated electrons, the nonthermal electron spectrum must be characterised at multiple locations in the flare structure, namely near the acceleration region, along the flare loops, and near the chromospheric footpoints.
SISA's wavelength range contains the lines of multiple Fe ions (see Table 1) from Fe IX formed at upper transition region, Fe X, Fe XI, Fe XIV, and Fe XVI formed in the corona of quiet Sun and active regions, to multiple flare lines of Fe XXI, Fe XXII, and Fe XXIV.Such wide temperature coverage allows for the characterisation of the ionisation temperature of the plasma, and in particular, the coronal structures participating in the reconnection process, from the pre-reconnection corona to the post-reconnection flare loops.
In addition, the EUV lines observed by SISA allow one to assess whether nonthermal electrons are present in certain cases.The ratios of Fe XI line intensities at 182.17/257.55Å, 182.17/257.7 Å are sensitive to high-energy electrons at temperatures above 1 MK [61].The Fe XI lines at 257.55 Å and 257.77Å are located in the direct vicinity of the magnetically sensitive Fe X line at 257.26 Å.We note that, since the temperature and power-law tail parameters are the free parameters of any electron distribution, diagnostics of the highenergy electrons always need to be performed simultaneously with the diagnostics of temperature [61], and the references therein.

Ion Temperature and Nonthermal Diagnostics
Profiles of any emission line changes shape if energetic ions are present.This effect is detectable through the presence of enhanced line wings, which correspond to the highenergy tails in ion velocity distribution via the Doppler effect.Such high-energy ions were detected in the last decade in a limited amount of cases, mostly in flares [63][64][65][66].The most significant enhancements of the wings were found to occur at about twice the line FWHM, see Figure 1 of Ref. [65].This means that, in principle, any emission line with a strong enough signal-to-noise in the far wings can be used for the diagnostics of accelerated ions, independently of the temperature at which the line is formed.Thus, the wide temperature coverage of the solar corona provided by SISA fortuitously allows for the wide diagnosis of energetic ions.However, the diagnostics are complicated by the fact that the emission lines are usually broadened during the impulsive phase of flares-a well-known fact for decades, as can be seen in Section 3.1 of Ref. [73] as well as Refs.[64,66,74].Since the broadening is indicative of the presence of turbulence, the wide spatial coverage of SISA shall enable the study of spatial correlations between the occurrence of turbulence and ion acceleration.We note that the two mechanisms can in principle be linked, with turbulence directly leading to particle acceleration in some cases, as can be seen in Ref. [75].

Electron Density Diagnostics
Measuring the electron density is a fundamental requirement for any spectrometer.Knowing the density is important for a wide range of issues, for example, to estimate the radiative losses of the plasma and thus the energy input required not only during flares, but also for the active region corona.In addition, electron density is critical for determining the ionisation and recombination timescales in the plasma, and thus whether the plasma is in ionisation equilibrium.The EUV offers a wide range of diagnostic possibilities, as can be seen in the review by Ref. [70].
The SISA spectral range and sensitivity was also chosen to enable measurements of the electron densities from a wide range of lines, formed from coronal (e.g., Fe IX, Fe XI, Fe XV, Ca XV) to flare temperatures (Fe XXI).Measurements of coronal densities have been carried out with previous spectrometers, most notably Hinode EIS, but measurements at high temperatures are nearly non-existent in the literature.The best diagnostics are in the soft X-rays around 140 Å, as discussed in Ref. [76], mainly using lines from Fe XXI and Fe XX.Such measurements have been carried out for a limited number of large X-class flares by Ref. [77] using SDO/EVE, an instrument without any spatial resolution.To estimate the ionisation and recombination times of the flaring plasma, it is essential to measure the electron density at high temperatures with good spatial resolution.SISA has two excellent line ratios from Fe XXI.One is 242.05Å /246.95Å, which is sensitive to high densities above 10 12 cm −3 .The lines are strong and close.The other one is a ratio involving the weaker 178.9 Å line, which is already sensitive to active region densities of 10 10 cm −3 or more.One issue with the 178.9 Å line is that it could be blended with a Ni XV line, depending on the relative amount of plasma at the formation temperatures of these ions.To correct for the Ni XV blend, two other density-sensitive Ni XV lines need to be observed.
Figure 1 provides a summary of the main diagnostic ratios for SISA, although other ones are available.CHIANTI version 10 [78] was used.The ratios cover a wide range of temperatures and are sensitive to a wide range of densities.Note that the Fe IX ratio is the best density diagnostic for the solar corona, but has never been observed routinely.Also note that the Fe XXI ratio is one of the best ones across all wavelengths in terms of measuring the low electron densities which are expected to be present during the heating phase.Most other density diagnostics of flare lines, from the X-rays to the UV, are sensitive above 10 12 cm −3 .

Figure 1.
A selection of some important diagnostic spectral lines to measure electron densities.The line intensity ratios of Fe IX, Fe XI, Fe XV, Si X, Ni XV, and Ca XV are useful for the diagnostics of the solar corona and active regions, while the ratios of Fe XXI (red) are applicable to solar flares.

Elemental Composition Diagnostics
Within the solar corona, there is a wide range of elemental abundances.As is the case for in situ measurements, the variations are mainly associated with the first ionisation potential (FIP) of the elements, indicating that the fractionation process that creates these variations occurs in the low chromosphere, where neutrals become ionised.The ratio of a low-FIP to a high-FIP element tends to be enhanced compared to its photospheric value (the so-called FIP bias), although interesting cases of the so-called inverse FIP effect have been observed.There is ample literature, but many earlier studies turned out to be incorrect, leading to a very confusing picture.A recent review of observational aspects is given in Ref. [70].
In a nutshell, the quiescent corona has nearly photospheric abundances, at least up to 1 MK; the hot 3 MK cores of active regions have an FIP bias of about 3-4; the cool active region loops have a wide range of FIP biases.Surges and flaring loops have been known since the Skylab time (1970s) to have photospheric abundances, interpreted as the indication that the plasma filling the loops evaporated from the chromosphere with a fast timescale such that the fractionation process did not occur.Interestingly, the recent X-ray observations of small flares of the GOES B-class have shown for the first time a rapid decrease in FIP bias, followed by a gradual increase [79].While the rapid decrease is expected to be caused by chromospheric evaporation, the gradual increase could be a signature of Alfvén waves.
There is general consensus that the FIP effect is related to the strength and topology of the magnetic field.A relatively simple hydrostatic model of the chromosphere put forward by M. Laming is able to explain the main features of the FIP effect and its inverse, as can be seen in the review and references of Ref. [80].The FIP effect would be caused by the ponderomotive force of trapped Alfven waves in magnetically closed loops.Therefore, measuring the FIP effect and its variations during flares is important, as it could provide a way of indirectly confirming the presence of Alfven waves or at least indicate the origin of the flaring plasma: if the flare loops have an FIP bias, then the plasma originated from closed loops already present in active regions.
The diagnostics to measure the relative abundances are limited, however, as there are only a few ions formed at high temperatures from high-FIP elements.There are plenty of spectral lines from low-FIP elements such as Si, Fe, Mg, Ni, and Ca, instead.The best high-FIP ones, exploited in the 1970s and 1980s, are the H-like and He-like ions from oxygen, neon, argon, and sulphur in the X-rays.Note that sulphur has an FIP of 10 eV, but in remote-sensing observations, it varies like the other high-FIP elements.Very few weak lines from high-FIP elements are present in the EUV and UV.A few very weak lines from Ar XIV and Ar XIII have been observed with Hinode EIS, which also has stronger S X, S XII and S XIII lines.
Across the whole EUV/UV, the best diagnostic lines are the strong Li-like doublets from Ar XVI at 353.8, 389.0 Å and from S XIV at 417.7, 445.7 Å.After them, the best diagnostic is the strongest (resonance) line from Ar XV at 221.15 Å, which is within the SISA spectral range.There are also interesting Ar XIV lines as the strong 243.75Å line, blended with Fe XV, or the 187.9Å line, which becomes strong at high densities (but can also be blended), meaning that one would have to measure the density independently.Other good options within the SISA range are the strong S XIII at 256.6 Å and the lower-temperature S X lines, often used in previous Hinode EIS studies.Weak lines from Ar XIII are also available.There are plenty of lines from iron to be able to estimate the FIP bias measuring Ar/Fe and S/Fe in the 1-3 MK range.

Flare Lines
There are several hot flare lines in the SISA spectral range.Close to Fe X 257.26 Å there are the strong Fe XVII 254.9, Fe XXI 246.95 Fe XXII 247.19, 253.17,Ti XX 259.26, and Fe XXIV 255.1 Å lines.They span a temperature range of log T = [6.6-7.3].Nearby, there is a strong Fe XXI line at 242.05Å which could be used in combination with the 246.95 (or the 187.9Å) to measure densities above 10 11 cm −3 (Section 3.4).This is an important diagnostic.
The strong Fe XXIII intercombination line is located at longer wavelengths, at 263.76 Å.It would be an ideal electron temperature diagnostic in combination with the resonance line at 132 Å, if a second order could be observed.
Close to 184.5 Å, there are several weaker hot lines, which become observable for large flares.Fe XXIII produces a line around 180. Å.There is a relatively strong Fe XXI line around 187.93 Å; however, this line for weak flares is blended with an Ar XIV 187.96Å line which is strongly density-sensitive, so careful deblending is needed.A weak Fe XXI around 178.9 Å is particularly important as it becomes strong at high electron densities, so it is one of the best density diagnostics for flare plasma, one that is able to measure densities above 10 10 cm −3 .
Conditions favourable for the occurrence of transient ionisation are expected to arise in solar flares, where the energetic particles travel at fractions of the speed of light, and thus swiftly deposit large amounts of energy when encountering the dense solar chromosphere.This is so despite the electron densities ion flares are relatively high, leading to decrease in the timescales for collisional ionisation and recombination [84], which are in the flare plasma of the order of seconds or tens of seconds.Since the plasma evolves rapidly following the energy deposit, detecting transient ionisation conditions requires fast cadence.The previous diagnostics of transient ionisation, e.g., Refs.[81,82] focused on X-ray spectra, which were obtained with little or no spatial resolution and required scans across the wavelength range, while the detection of transient ionisation from EUV was hampered by the twin problems of slit and throughput/cadence.For the first time, SISA will offer the spatial coverage, resolution, cadence, and lines from multiple ionisation stages of iron (see Table 1), all required to detect the signatures of transient ionisation in rapidly evolving plasma along newly created flare loops.

Predicted Signal in the Main SISA Lines
Given the previous requirements, namely providing spectral line diagnostics to measure magnetic fields, electron temperatures and densities, departures from ionisation equilibrium in flaring plasma, non-Maxwellian electron distributions, variations in the FIP bias, and transient ionisation, we designed a few possible multilayers to cover the key lines, as described below.Having selected one, we then calculated the signal in the SISA lines.
As the target is to observe active regions and flares, two simulations have been carried out, one for the quiescent AR core, and one for an M2-class flare.For the AR core, the predictions are based on an AR core loop observed by Hinode, as can be seen in Ref. [67].The Del Zanna (2013) coronal abundances are used, with an electron density of 2 × 10 9 cm −3 .For the M2 flare, the predictions are based on an M2-class flare observed by Hinode EIS.The same set of abundances is used, but with an electron density of 2 × 10 10 cm −3 .In this case, a full DEM analysis was carried out (Del Zanna et al. 2023, in prep).CHIANTI version 10 [78] was used.Table 1 shows the radiances of a few selected SISA lines and the corresponding data numbers per second per 1 ′′ pixel.It is clear that most lines are observable with exposures of 1 s.

Image Slicer Technology in the EUV Regime
Among the integral field unit (IFU) alternatives available to perform IFS, image slicers are the optimum for space: they are very compact with no moving mechanisms, lightweight, highly efficient, and all parts are made of the same material.
As shown in Figure 2, an image slicer is an optical system typically composed of two or three arrays of mirrors, placed at the telescope's image focal plane.The first array (slicer mirror array) is composed of multiple narrow mirrors with a rectangular shape distributed such that the short dimension (width) corresponds to the spectral direction and the long dimension (length) is associated with the spatial direction.Each one of the slicer mirrors have a different tilt angle around the X and Y axes (axes perpendicular to the direction of light propagation).Thus, each mirror only reflects a slice of the field of view, defined by its effective surface, in a different direction.The other arrays of mirrors are used to control the intermediate and exit pupils, re-image the slices of the field and reorganise them to generate the spectrograph entrance slit.They can also produce a magnification if required, enabling perfect coupling between the telescope and instrument, and adjusting the slit width to meet the desired resolution.Other advantages include no focal-ratio degradation and no polarisation effects.Image slicers have been used for ground-based telescopes in recent decades, operating at different spectral ranges from the infrared to UV/visible, for a wide variety of science cases.Some examples are shown in Figure 3 and include the following: VLT CUBES [90], BlueMUSE [91] and MUSE [92]; GTC FRIDA [93]; GNIRS at Gemini North Telescope or ELT HARMONI [94] and METIS [95] for night-time observation.For solar physics, image slicers were first proposed for the integral field spectrograph [96,97] of the European Solar Telescope, which provides optical observations.A prototype of this image slicer is operative at GREGOR solar telescope [98], which upgraded GRIS from a long-slit spectrograph to an integral field spectrograph, and provides infrared observations.No EUV solar IFS instrument has flown, although the SNIFS rocket mission, scheduled for a 2024 launch, will observe solar Ly α using IFS [11].
There are also spaceborne image slicers onboard the James Webb Space Telescope in NIRSpec [99] and MIRI [100] operating at infrared wavelengths.At much shorter wavelengths, INFUSE [101] was the first IFS in the far ultraviolet (FUV), while SISA [102] will be the first IFS in the extreme ultraviolet, applying the image slicer technology at the shortest wavelengths ever proposed.
Finally, a different approach to the 2D coverage problem has been adopted by the multi-slit solar explorer MUSE; Refs.[3,103], a NASA Heliophysics Medium-class Explorer with a scheduled launch in 2027.Thanks to its 35-slit design, MUSE will provide highcadence (<20 s or faster for flares), sub-arc-second resolution spectroscopic rasters over an active region size, targeting four isolated, strong spectral lines (Fe IX 171 Å at 0.7 MK, Fe XV 284 Å at 2 MK, Fe XIX at 108 Å at 10 MK, and Fe XXI 108 Å at 12 MK).With its unique capabilities, MUSE will provide new crucial discoveries for flare science.SISA would build upon the science legacy of MUSE by providing high-cadence 2D imaging from a larger set of spectral lines that offer rich diagnostic potential.At the shorter wavelengths of the EUV regime that SISA will explore, the application of image slicers presents additional challenges [102], like narrower slicer mirrors for high resolution solar observations, surface roughness, and coating.A slicer width of 15 µm has been defined for SISA, which is narrower than the slicer mirror width that is currently achievable both for glass and metallic slicer mirrors.This width is even more difficult to achieve on curved substrates (powered slicer mirrors), whose use would enable the reduction in the number of optical components to maximise throughput.At these short wavelengths the surface roughness is a key factor to minimise stray light that could potentially compromise the instrument sensitivity.
These technological challenges of the image slicer technology for the EUV are being addressed and developed in the UK by a collaboration between Durham University and University College London (UCL) within two projects: MINOS and LUCES.MINOS (Manufacturing of Image slicer Novel technology for Space), funded by Durham University, produced in 2023 a prototype that represents the state-of-the-art of glass slicers, achieving a surface roughness of 0.2 nm RMS in Fused Silica spherical slicer mirrors with a width of 70 µm.This is the thinnest width currently achievable on glass spherical slicers and the best surface roughness for slicers to date.This is a significant improvement towards the specifications required for SISA and the next generation of solar space missions.This demonstrator was manufactured by Bertin Winlight, in France.
LUCES (Looking Up Image Slicers Optimum Capabilities in the EUV for Space) is funded by the Enabling Technology Programme of the UK Space Agency and will produce nine slicer mirror demonstrators in metal using different widths (350 µm, 70 µm, 50 µm, 15 µm) to determine the narrowest achievable width with diamond machining techniques at Durham University, and on different substrates to compare the surface roughness.The widths for the slicer demonstrators of LUCES were selected based on the demand of the solar community both for ground-based and space observations.The widest width (350 µm) was selected as a first goal to reduce the current minimum width manufactured in metal; 70 µm and 50 µm were chosen based on the widths required for the GRIS spectrograph at GREGOR and for the integral field spectrograph of the European Solar Telescope.The thinnest width, 15 µm, represents a challenge and is the current specification for the slicer mirrors for SISA.LUCES started in April 2023 and will end in October 2024.SISA, along with LISSAN and FOXSI, were proposed as part of the SPARK mission to an ESA's M-class solicitation in 2022.Though selected for Phase 1, SPARK was not selected for continued development in Phase 2, in part due to concerns over the relatively low TRL of aspects of the instruments.The SISA team is actively engaged in on-going research to raise the TRL of SISA, developing the image slicer technology for EUV applications.Further developments, such as the deposition of a multi-layer coating on the slicers, the design and manufacturing of a SISA prototype, and its tests in a relevant environment, are planned to achieve TRL 6 within the next couple of years, subject to funding.

Specifications
The Spectral Imager of the Solar Atmosphere (SISA) is the first EUV imaging spectrometer using image slicer technology in the λ = [180-260] Å range.SISA will observe a threshold field of view (FoV) of 100 ′′ × 100 ′′ (with a goal of 100 ′′ × 250 ′′ ), obtaining spectra of the whole 2D field of view in less than 3 s for high-signal objects (e.g., flares) and less than 30 s for low-signal ones.This field of view will be observed in two spectral windows simultaneously, Window 1 λ = [178-184] Å, and Window 2 λ = [246-258] Å, with a spectral resolving power (R) of R = [3560-5160], a spatial resolution of < 3 ′′ , and a spectral resolution of 0.05 Å full width at half maximum (FWHM).
The defined spatial resolution is required to satisfactorily resolve flare loops and ribbon/footpoint sources, including newly reconnected ones, whilst the spectral resolution is required to resolve the main diagnostic lines and measure nonthermal line profiles.The FoV of 100 ′′ × 100 ′′ can capture the core of large X-class flares, the entirety of smaller flares, or a portion of an active region.A high signal temporal resolution (Cadence 1) of 3 s will capture much of the dynamics of many flares, whilst being two orders of magnitude faster than previously observed for 2D EUV imaging spectroscopy.A low signal temporal resolution (Cadence 2) of 30 s will capture the slower dynamics present in the active regions or quiet Sun areas.
The two spectral ranges are required to measure the parameters of both 1 MK plasma and the much hotter 15 MK plasma that appears during flares, and include lines sensitive to the coronal magnetic field strength, electron temperature/non-Maxwellian electron distributions, and a wide range of lines to measure electron densities from coronal (e.g., Fe IX, Fe XI, Fe XII, Fe XV, Ca XV) to flare temperatures (Fe XXI), and the FIP bias.The specifications for SISA are presented in Table 2.

Layout
The solar EUV photon flux is very low, demanding a sensitive instrument.SISA combines the surfaces of the integral field unit (IFU) with those of the spectrograph in a compact and highly efficient layout that uses only an array of powered slicer mirrors and an array of curved diffraction gratings as shown in Figure 4.This layout is based on a design presented by Calcines et al., 2018 [104] for applications for ultra-compact integral field spectrograph and is inspired in IGIS [105], which first proposed the combination of the IFU and the spectrograph components.SISA does not have an entrance slit, it covers a 2D field of view without any scanning mechanisms, obtaining all the spectra of a 2D region of the Sun within one exposure.Two subsystems are identified: the telescope and the integral field spectrograph, with a total of three surfaces.To optimise efficiency, the telescope is composed of one off-axis parabolic mirror, with an aperture of 200 mm diameter and an effective focal length of 3 m.At its focal plane, the array of slicer mirrors, each one of them with different orientations, divides the image of the field into thin slices of 15 µm.To cover a field of view of 100 ′′ × 100 ′′ , a hundred slicer mirrors are needed, with a rectangular shape and whose dimensions are 3.64 mm length by 15 µm width.The slicer mirror array decomposes the incoming beam into as many sub-beams as the number of slicer mirrors, generating a pupil for each one of them.At the pupil position, an array of curved gratings will disperse the light and focus the beams at their focal length.Each grating will produce the spectrum associated with a slice of the field.The different orientations for the gratings are defined to distribute the spectra on the detectors.These orientations are fixed, with no moving mechanisms.
The design of SISA includes different trade-off analyses, such as the definition of the telescope effective focal length versus resolution and slicer mirror width.For the dispersive element, two options were considered: a larger diffraction grating versus an array of gratings, one per slice.Whilst a larger grating would provide higher spectral resolving power, curved gratings present aberrations for off-axis fields.The use of an array facilitates the organisation of the spectra on the detectors.This is currently the selected option.
On-going studies analyse the optimum distribution of the gratings in order to minimise stray light and optimise the optical quality.The use of a grating per slicer mirror enables some flexibility in the geometrical distribution, which is a key factor in the optimisation of these two important points.

Components
As mentioned in the previous section, SISA is composed of two subsystems: (1) the telescope and (2) the instrument.A door protection mechanism will be installed at the front of the instrument.This door will be used to provide protection against acoustic vibration and venting during the launch.It will also protect the instrument from contamination during assembly, integration and verification (AIV), launch and in-orbit, and control the venting and reduce air flow during on-ground purging and launch.CSL is considered as the future supplier for the door based on their previous experience designing the door for the extreme ultraviolet imager (EUI) onboard Solar Orbiter.
The aperture of the telescope (200 mm) was selected to optimise throughput with respect to existing EUV instruments.The same supplier of the METIS/Solar Orbiter mirrors is considered, TOPTEC, Institute of Plasma Physics of the Czech Academy of Sciences with TRL 9.The manufacturing feasibility of mirrors with apertures up to 300 mm has been confirmed.
The slicer mirror technology presents the technology readiness level (TRL) 9 in the infrared.For the EUV, this technology is currently under development.MINOS and LUCES projects will raise the TRL in the EUV to TRL 4.Although the slicers are the component with the lowest TRL for this spectral range, its application is a game-changer for EUV solar spectroscopy.The on-going developments within the UK in this field, together with a plan in place to achieve TRL 6 within the next several years, will enable this technology to be considered for the next generation of solar space missions.
Curved holographic gratings have already been used for other instruments like EIS and the upcoming EUV High-Throughput Spectroscopic Telescope, EUVST [106], with TRL 9.For the gratings for SISA, IAS in France is currently considered as the future lead institution.The possibility of using metallic curved gratings made of the same material as the slicer mirrors will also be investigated.
The SISA instrument requires a large-size image sensor with high EUV sensitivity.The baseline will be to use the back-illuminated CMOS radiation-hardened active-pixel image sensor (APS), developed by CSL/ROB (Belgium).Compared to CCD technology, CMOS-APS detectors do not require a mechanical shutter, have a greater radiation tolerance (low charge transfer), low power consumption, high speed, and dynamic range, with a nondestructive readout for low readout noise.Additional features include random addressing, windowing and anti-blooming.SISA's detectors must be cooled to a temperature lower than −40 • C (ideally around −60 • C), with a stability of ±5 • C.

Efficiency
The efficiency of the instrument will be limited by two important factors: (1) the possibility of using only two optical components for the integral field spectrograph, and only one for the telescope based on the performance of optical quality, and (2) the coating.
For the simultaneous observation of the two spectral windows, a dual-band multilayer coating is being designed for SISA at the National Research Council of Italy, Padova.Considering the required operational spectral bands for SISA, the most efficient coatings in terms of efficiency were identified to be the three-material multilayer Al/Mo/B 4 C [107] or, alternatively, the Al/Mo/SiC [108].Both coatings show very good long-term stability, and in the case of Al/Mo/SiC, its reliability has been proven through its successful use in the Solar Orbiter/EUI instrument.The multiband response required for SISA was obtained using a design consisting of a superposition of two periodic multilayer stacks separated by two or three buffer layers.The coating optimization was performed using a genetic algorithm, following the procedure previously described in Ref. [109]. Figure 5 shows the three options obtained with an Al/Mo/B 4 C multilayer, among which Option 3 is the preferred alternative due to it offering the broadest response, with a signal near 220 Å.Similar results can be obtained with the Al/Mo/SiC multilayer.
A preliminary estimation of the throughput has been performed.The effective area for SISA is represented in Figure 6 (in black), compared to Hinode/EIS (in blue).To calculate the effective area, we have considered the following components: (1) a front Al filter, the same used for SDO/AIA, but with an improved mesh transmission of 95%, compared to the AIA one (85%).Such an improved mesh has already flown on the Hi-C sounding rockets.The AIA filters have shown little degradation at the SISA wavelengths, probably thanks to their carbon layer, but alternative coatings will be considered.(2) Two mirror reflectivities (one for the primary and one for the slicer mirrors) using the multilayer option 3; (3) A third reflectivity using the same multilayer for the grating, with an efficiency of 35%, the same measured for the Hinode EIS grating in the long wavelength channel; and (4) The same quantum efficiency of the EIS CCD, 0.85.A secondary focal plane filter has not been included to maximise throughput, although a rotating wheel of redundant focal plane filters should be included.The significant improvement over the EIS effective areas is due to the slightly larger aperture (20 cm instead of 15), and the fact that a single multilayer is used (the EIS aperture is sectioned with two different multilayers).Also, the multilayer has been designed to have maximum reflectance close to the main diagnostic lines around 250 Å.

Conclusions
Integral field spectroscopy is one of the most powerful techniques applied in astronomy.The ability to obtain the spectra of a 2D field of view simultaneously reduces the integration time by over two orders of magnitude.Despite this great advantage, this technique has not been used in the extreme ultraviolet regime, which can only be observed from space due to the limitations and challenges for the existing integral field unit alternatives.
The image slicer technology seems to be the optimum choice, offering a compact, robust, and highly efficient solution with no moving mechanisms.The SPARK (Solar Particle Acceleration Radiation and Kinetics) mission proposal led by the UK (UCL) includes the first ever integral field spectrograph in the EUV: SISA.SISA consists of a three-mirror system including the telescope and the instrument.
A preliminary study has identified optimal spectral ranges to allow many plasma diagnostics, some of which are not available to current (Hinode EIS) or future EUV instruments (EUVST, MUSE).With a relatively small aperture of 20 cm diameter, a single multilayer and the slicers, we expect to perform the types of measurements that Hinode EIS has been producing about 100 times faster.
Although the image slicer technology currently presents the low TRL at EUV wavelengths, the UK (Durham University and UCL) has on-going research and development projects that will soon enable this technology for the next generation of space missions, including solar physics and all fields of astronomy.These are focused on the most critical aspects for EUV applications: the manufacturing feasibility of slicer mirrors to reduce the current state-of-the-art to the specifications required by SISA; the optimisation of the surface roughness for the slicer mirrors to minimise stray light, and to increase the feasibility of the application of multi-layer dielectric coatings to narrow slicers in the EUV with high efficiency for the simultaneous spectral windows covered by SISA.
SISA, currently under design study as part of the SPARK payload mission proposal described in Reid et al. [110], promises to be a game changer in our understanding of our star, the Sun.

Figure 2 .
Figure 2. Conceptual sketch of an image slicer.The slicer mirror array divides the image generated by the telescope into slices that are re-imaged and reorganised by other arrays of mirrors, reformatting the 2D field of view into the spectrograph entrance slit.

Figure 3 .
Figure 3. SISA will break new ground, both technologically, by observing using image slicers in the EUV, and scientifically, by providing the high-cadence 2D spectra of various solar phenomena.Currently operating image slicer-based IFS at different spectral ranges for solar and night-time ground-based telescopes and space missions observe at longer wavelengths than SISA.

Figure 4 .
Figure 4. SISA's conceptual layout (left) and view of the spectra per slice generated by each curved grating (right).

Figure 5 .
Figure 5. Reflectivities for the three multi-layer coatings under design for SISA.

Table 1
. A selection of SISA diagnostic spectral lines.The approximate formation temperature (log T[K]) is shown, as well as the radiances for an AR core and an M2-class flare (in erg cm −2 s −1 sr −1 ).Numbers in brackets are DN s −1 per 1 ′′ SISA pixel.bl indicates a blended line.The number of * indicates the relative diagnostic importance.

Table 2 .
Specifications for the instrument SISA.