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Keywords = large-aperture optical systems

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15 pages, 3200 KiB  
Article
Stress Compensation in TiO2/SiO2 Optical Coatings by Manipulating the Thickness Modulation Ratio
by Bo Wang, Taiqi Wu, Weidong Gao, Gang Hu and Changjun Wang
Coatings 2025, 15(7), 848; https://doi.org/10.3390/coatings15070848 - 19 Jul 2025
Viewed by 292
Abstract
With the rapid advancement of high-precision optical systems, increasingly stringent demands are imposed on the surface figure accuracy of optical components. The magnitude of residual stress in multilayer films directly influences the post-coating surface figure stability of these components, making the control of [...] Read more.
With the rapid advancement of high-precision optical systems, increasingly stringent demands are imposed on the surface figure accuracy of optical components. The magnitude of residual stress in multilayer films directly influences the post-coating surface figure stability of these components, making the control of multilayer film stress a critical factor in enhancing optical surface figure accuracy. In this study, which addresses the process constraints and substrate damage risks associated with conventional annealing-based stress compensation for large-aperture optical components, we introduce an active stress engineering strategy rooted in in situ deposition process optimization. By systematically tailoring film deposition parameters and adjusting the thickness modulation ratio of TiO2 and SiO2, we achieve dynamic compensation of residual stress in multilayer structures. This approach demonstrates broad applicability across diverse optical coatings, where it effectively mitigates stress-induced surface distortions. Unlike annealing methods, this intrinsic stress polarity manipulation strategy obviates the need for high-temperature post-processing, eliminating risks of material decomposition or substrate degradation. By enabling precise nanoscale stress regulation in large-aperture films through controlled process parameters, it provides essential technical support for manufacturing ultra-precision optical devices, such as next-generation laser systems and space-based stress wave detection instruments, where minimal stress-induced deformation is paramount to functional performance. Full article
(This article belongs to the Section Thin Films)
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10 pages, 4530 KiB  
Article
A Switchable-Mode Full-Color Imaging System with Wide Field of View for All Time Periods
by Shubin Liu, Linwei Guo, Kai Hu and Chunbo Zou
Photonics 2025, 12(7), 689; https://doi.org/10.3390/photonics12070689 - 8 Jul 2025
Viewed by 255
Abstract
Continuous, single-mode imaging systems fail to deliver true-color high-resolution imagery around the clock under extreme lighting. High-fidelity color and signal-to-noise ratio imaging across the full day–night cycle remains a critical challenge for surveillance, navigation, and environmental monitoring. We present a competitive dual-mode imaging [...] Read more.
Continuous, single-mode imaging systems fail to deliver true-color high-resolution imagery around the clock under extreme lighting. High-fidelity color and signal-to-noise ratio imaging across the full day–night cycle remains a critical challenge for surveillance, navigation, and environmental monitoring. We present a competitive dual-mode imaging platform that integrates a 155 mm f/6 telephoto daytime camera with a 52 mm f/1.5 large-aperture low-light full-color night-vision camera into a single, co-registered 26 cm housing. By employing a sixth-order aspheric surface to reduce the element count and weight, our system achieves near-diffraction-limited MTF (>0.5 at 90.9 lp/mm) in daylight and sub-pixel RMS blur < 7 μm at 38.5 lp/mm under low-light conditions. Field validation at 0.0009 lux confirms high-SNR, full-color capture from bright noon to the darkest nights, enabling seamless switching between long-range, high-resolution surveillance and sensitive, low-light color imaging. This compact, robust design promises to elevate applications in security monitoring, autonomous navigation, wildlife observation, and disaster response by providing uninterrupted, color-faithful vision in all lighting regimes. Full article
(This article belongs to the Special Issue Research on Optical Materials and Components for 3D Displays)
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14 pages, 3594 KiB  
Article
Rapid Detection of Deployment Errors for Segmented Space Telescopes Based on Long-Range, High-Precision Edge Sensors
by Jisong Jiang, Xinlong Fan, Chenxu Li, Yuanyuan Tang, Shengqian Wang, Hao Xian and Mo Chen
Sensors 2025, 25(11), 3391; https://doi.org/10.3390/s25113391 - 28 May 2025
Viewed by 294
Abstract
The structural deformations induced by rocket launch vibrations, on-orbit thermal gradients, and gravitation fluctuations can lead to significant deployment errors for large-aperture, segmented space telescopes. As the size and number of segments increase in future telescopes, the optical-based methods for detecting deployment errors [...] Read more.
The structural deformations induced by rocket launch vibrations, on-orbit thermal gradients, and gravitation fluctuations can lead to significant deployment errors for large-aperture, segmented space telescopes. As the size and number of segments increase in future telescopes, the optical-based methods for detecting deployment errors suffer from the range limitations of the millimeter scale and time-consuming processes of the month scale. To address this, we propose a new method for rapid-deployment error detection based on long-range, high-precision capacitive edge sensors. These sensors feature a measurement range of ±13 mm, with a precision better than 7.3 nm, enabling efficient and simultaneous error detection across all segments. This approach significantly reduces the time and steps required compared to traditional optical methods. Through experimental validation, the designed system demonstrated the ability to detect and correct large deployment errors and maintain co-phasing precision, meeting the stringent requirements for future space telescopes. The proposed sensor system enhances deployment efficiency, offering a viable solution for the next generation of segmented space telescopes. Full article
(This article belongs to the Section Optical Sensors)
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9 pages, 4010 KiB  
Communication
Broadband Achromatic Hybrid Metalens Module with 100° Field of View for Visible Imaging
by Peixuan Wu, Xingyi Li, Yuanyuan Xing, Jiaojiao Wang, Wujie Zheng, Zekun Wang and Yaoguang Ma
Sensors 2025, 25(10), 3202; https://doi.org/10.3390/s25103202 - 20 May 2025
Viewed by 920
Abstract
Conventional metalenses struggle with chromatic aberration and narrow field of view (FOV), making it challenging to meet the dispersion requirements for large apertures and compensate off-axis aberrations for wide FOV. Here, we demonstrate a hybrid metalens module consisting of five refractive plastic lenses [...] Read more.
Conventional metalenses struggle with chromatic aberration and narrow field of view (FOV), making it challenging to meet the dispersion requirements for large apertures and compensate off-axis aberrations for wide FOV. Here, we demonstrate a hybrid metalens module consisting of five refractive plastic lenses and a polarization-insensitive metalens to achieve broadband achromatic imaging within 400–700 nm and a wide FOV up to 100°. The system exhibits negligible variation in focal length (~1.2%) across the visible range (460–656 nm) and consistently achieves modulation transfer function (MTF) values > 0.2 at 167 lp/mm across all wavelengths and incident angles. We also demonstrate integrated lens modules that capture high-quality images from distances ranging between 0.5 and 4 m without post-processing, showcasing its potential for compact, wide-angle optical systems. Full article
(This article belongs to the Special Issue Advanced Optics and Sensing Technologies for Telescopes)
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17 pages, 7803 KiB  
Article
Stray Light Suppression Design and Test for the Jilin-1 GF04A Satellite Remote Sensing Camera
by Xing Zhong, Jiashi Feng, Yanjie Li, Chenglong Yang, Feifei Zhang and Haofeng Li
Remote Sens. 2025, 17(9), 1512; https://doi.org/10.3390/rs17091512 - 24 Apr 2025
Viewed by 589
Abstract
The stray light suppression design aims to reduce the impact of stray light on optical systems. For high-resolution optical remote sensing systems, practical tests of stray light suppression performance are essential to ensure optimal functionality. However, due to system complexity and spatial constraints, [...] Read more.
The stray light suppression design aims to reduce the impact of stray light on optical systems. For high-resolution optical remote sensing systems, practical tests of stray light suppression performance are essential to ensure optimal functionality. However, due to system complexity and spatial constraints, physical test methods for evaluating the stray light suppression performance of large-aperture, long-focal-length remote sensing cameras remain scarce. To address this issue, a comprehensive test is conducted on the stray light suppression performance of the Jilin-1 GF04A satellite remote sensing camera by integrating multiple test methods, including the environmental light effect test, neighborhood point source response test, key surface response test, and sneak path of stray light test. The experimental results indicate that the stray light response ratios obtained from different test methods are all below 1%. The on-orbit performance of GF04A further validates the effectiveness of its stray light suppression design. Full article
(This article belongs to the Special Issue Optical Remote Sensing Payloads, from Design to Flight Test)
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17 pages, 10281 KiB  
Article
Design and Research of Large-Scale Curvature Adjustment Optical Mirror
by Kailun Zhao, Liuxing Song, Dewei Sun, Qiaolin Huang, Rongguang Guo, Guoliang Tian and Jinping He
Photonics 2025, 12(4), 338; https://doi.org/10.3390/photonics12040338 - 2 Apr 2025
Cited by 1 | Viewed by 383
Abstract
This study introduces an optimization design method for large-scale curvature-adjustable optical mirrors, innovatively integrating parametric modeling with the optimized layout of actuators, targeting the achievement of extensive curvature adjustability and high-precision surface correction for segmented mirrors. The optimization objective is based on the [...] Read more.
This study introduces an optimization design method for large-scale curvature-adjustable optical mirrors, innovatively integrating parametric modeling with the optimized layout of actuators, targeting the achievement of extensive curvature adjustability and high-precision surface correction for segmented mirrors. The optimization objective is based on the surface figure residual when the curvature radius of the segmented mirror is altered by 100 mm. Through the optimization of the number, arrangement, and thickness of reinforcement ribs of the actuators on the back of the segmented mirror, a parametric model of a segmented mirror with an edge-to-edge distance of 510 mm and a radius of curvature 9100 mm is developed. Simulation outcomes reveal that a 0–15 μm variation in the actuators results in a curvature radius change of 178.45 mm in the segmented mirror, with a highly linear correlation, achieving a radius of curvature reconfiguration of the primary mirror in the optical system from 9100 mm to 9000 mm, with a residual surface figure error of less than 10 nm. The experimental results indicate that within a 0–15 μm closed-loop stroke range, the curvature radius of the segmented mirror can be adjusted by 146.89 mm, fulfilling the design objective of a lightweight mirror with a significantly adjustable curvature radius. This research is anticipated to offer technical support and serve as a reference for the assembly, adjustment, and inspection of large-aperture segmented mirrors, as well as for the curvature radius variation in multiple segmented mirrors, thereby holding substantial practical value in engineering applications. Full article
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9 pages, 2881 KiB  
Article
Compact Near-Infrared Imaging Device Based on a Large-Aperture All-Si Metalens
by Zhixi Li, Wei Liu, Yubing Zhang, Feng Tang, Liming Yang and Xin Ye
Nanomaterials 2025, 15(6), 453; https://doi.org/10.3390/nano15060453 - 17 Mar 2025
Viewed by 756
Abstract
Near-infrared imaging devices are extensively used in medical diagnosis, night vision, and security monitoring. However, existing traditional imaging devices rely on a bunch of refracting lenses, resulting in large, bulky imaging systems that restrict their broader utility. The emergence of flat meta-optics offers [...] Read more.
Near-infrared imaging devices are extensively used in medical diagnosis, night vision, and security monitoring. However, existing traditional imaging devices rely on a bunch of refracting lenses, resulting in large, bulky imaging systems that restrict their broader utility. The emergence of flat meta-optics offers a potential solution to these limitations, but existing research on compact integrated devices based on near-infrared meta-optics is insufficient. In this study, we propose an integrated NIR imaging camera that utilizes large-size metalens with a silicon nanostructure with high transmission efficiency. Through the detection of target and animal and plant tissue samples, the ability to capture biological structures and their imaging performance was verified. Through further integration of the NIR imaging device, the device significantly reduces the size and weight of the system and optimizes the aperture to achieve excellent image brightness and contrast. Additionally, venous imaging of human skin shows the potential of the device for biomedical applications. This research has an important role in promoting the miniaturization and lightweight of near-infrared optical imaging devices, which is expected to be applied to medical testing and night vision imaging. Full article
(This article belongs to the Special Issue The Interaction of Electron Phenomena on the Mesoscopic Scale)
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13 pages, 6065 KiB  
Article
Design, Analysis, and Manufacturing of Diffractive Achromatic Optical Systems
by Yidi Zheng, Junfeng Du, Boping Lei, Jiang Bian, Lihua Wang and Bin Fan
Micromachines 2025, 16(3), 322; https://doi.org/10.3390/mi16030322 - 11 Mar 2025
Viewed by 735
Abstract
The increasing resolution requirements of imaging optical systems must be satisfied by expanding the aperture of the optical system according to Rayleigh’s criterion, and larger apertures of conventional refractive/reflective optics place a greater demand on manufacturing and transportation. Diffractive optics are applied to [...] Read more.
The increasing resolution requirements of imaging optical systems must be satisfied by expanding the aperture of the optical system according to Rayleigh’s criterion, and larger apertures of conventional refractive/reflective optics place a greater demand on manufacturing and transportation. Diffractive optics are applied to imaging optics to achieve lightweight design, but the image quality suffers due to their strong negative properties. Therefore, a wide-band imaging system based on the Schupmann achromatic model is proposed in this paper to solve the above problem, and the achromatic performance of the system is guaranteed by the Schupmann achromatic model. The aperture of the relay lens is reduced, since using harmonic diffractive optics as the primary lens results in a much more compact focus compared to the diffractive optics in the same wavelength band. This allows for the lightweight design of the optical system. An 80 mm aperture diffractive optical system covering the 400–900 nm band was designed and fabricated to verify the above theory. The actual resolution of the optical system was 76.196 lp/mm, and the achromatic task was accomplished. The design and experimentation of the wide-band achromatic imaging optical system confirms that the proposed theory is correct, and lays the foundation for the further application of large aperture diffractive telescopes. Full article
(This article belongs to the Section A:Physics)
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21 pages, 4361 KiB  
Article
A Method for Mounting Space Telescope Optical Systems Based on the Sensitivity Matrix of Intrinsic Coefficients
by Han Hou, Hongchang Ding, Keyan Dong, Guohua Cao and Boyuan Wang
Sensors 2025, 25(4), 1121; https://doi.org/10.3390/s25041121 - 12 Feb 2025
Cited by 1 | Viewed by 648
Abstract
Aperture space telescopes are widely used in space debris size information detection and celestial body detection work. For the problem of limited space inside the optical system of large aperture telescopes, a space telescope mounting method based on the intrinsic coefficient sensitivity matrix [...] Read more.
Aperture space telescopes are widely used in space debris size information detection and celestial body detection work. For the problem of limited space inside the optical system of large aperture telescopes, a space telescope mounting method based on the intrinsic coefficient sensitivity matrix is proposed by combining the wavefront detection technology. Compared with the traditional sensitivity matrix method, the method in this paper does not need to partition the detector and simplifies the construction of the wavefront reconstruction matrix. Characterisation of the system wave aberration is realised by using the eigenfactors, and the sensitivity matrix model is established according to the amount of misalignment. The experimental tests are carried out on the telescope with a diameter of 1.2 m, and the results show that the root mean square (RMS) values of the wavefront aberration in the centre field of view are less than λ/16 under the cases of eccentricity misalignment of the sub-mirror and tilting misalignment with the phase-aberration correction, which is of good value for the mounting of space telescope optical systems. Full article
(This article belongs to the Section Optical Sensors)
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15 pages, 7524 KiB  
Article
Correction of Wavefront Distortion in Common Aperture Optical Systems Based on Freeform Lens
by Jiadong Yu and Xianglong Mao
Photonics 2025, 12(2), 103; https://doi.org/10.3390/photonics12020103 - 23 Jan 2025
Viewed by 937
Abstract
The common aperture optical system enhances light utilization efficiency during the imaging process by utilizing a single shared aperture. This approach not only facilitates independent synchronous multi-band imaging across various applications but also reduces the complexity, size, and cost of optical systems. However, [...] Read more.
The common aperture optical system enhances light utilization efficiency during the imaging process by utilizing a single shared aperture. This approach not only facilitates independent synchronous multi-band imaging across various applications but also reduces the complexity, size, and cost of optical systems. However, conventional common aperture optical systems typically employ inclined plates or prisms for spectral splitting, which can introduce wavefront distortion in the transmission light path, an issue that is particularly problematic in imaging systems with a large field of view. In this work, we propose employing a freeform lens to correct wavefront distortion arising from imperfections within an optical system. We present a design methodology for the freeform lens based on ray tracing techniques. The application of this freeform lens effectively mitigates wavefront distortion in an infrared dual-band composite detection system, resulting in commendable optical performance across both mid-infrared and far-infrared bands. Full article
(This article belongs to the Special Issue Freeform Optical Systems: Design and Applications)
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15 pages, 8416 KiB  
Article
Interference Measurements Across Vacuum and Atmospheric Environments for Characterization of Space-Borne Telescope
by Yi-Kai Huang and Cheng-Huan Chen
Photonics 2024, 11(12), 1105; https://doi.org/10.3390/photonics11121105 - 22 Nov 2024
Viewed by 1020
Abstract
A space-borne telescope is used for Earth observation at about 500 km above sea level in the thermosphere where the air density is very low and the temperature increases significantly during daytime. If the telescopes are aligned and characterized on the ground with [...] Read more.
A space-borne telescope is used for Earth observation at about 500 km above sea level in the thermosphere where the air density is very low and the temperature increases significantly during daytime. If the telescopes are aligned and characterized on the ground with standard temperature and pressure (STP) conditions, different from that of the thermosphere, their performance could drift during their mission. Therefore, they are usually placed in a thermal vacuum chamber during ground testing in order to verify the system can perform well and withstand the harsh environment such as a high vacuum level and large temperature variations before being launched. Nevertheless, it remains a challenge to build up an in situ optical measurement system for a large aperture telescope in a thermal vacuum chamber due to the finite internal space of the chamber, limited aperture size of the vacuum view port and thermal dissipation problem of the measuring instruments. In this paper, a novel architecture of an interferometer whose light path travels across a vacuum chamber and an atmospheric environment has been proposed to resolve all of these technical issues. The major feature of the architecture is the diverger lens being located within the vacuum chamber, leaving the rest of the interferometer outside. The variation of the interference fringe due to the relocation of the diverger lens has been investigated with optical simulations and the solutions for compensation have also been proposed. Together with a specific alignment procedure for the proposed architecture, the interferogram has been successfully acquired from a prototype testbed. Full article
(This article belongs to the Special Issue Optical Systems for Astronomy)
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14 pages, 5193 KiB  
Article
Full-Aperture Reflective Remote Fourier Ptychography with Sample Matching
by Dayong Wang, Jiahao Meng, Jie Zhao, Renyuan Wang, Yunxin Wang, Lu Rong, Shufeng Lin and Ling Li
Remote Sens. 2024, 16(22), 4276; https://doi.org/10.3390/rs16224276 - 16 Nov 2024
Viewed by 1189
Abstract
Fourier ptychography (FP) can break through the limitations of existing optical systems with a single aperture and realize large field-of-view (FOV) and high-resolution (HR) imaging simultaneously by aperture synthesis in the frequency domain. The method has potential applications for remote sensing and space-based [...] Read more.
Fourier ptychography (FP) can break through the limitations of existing optical systems with a single aperture and realize large field-of-view (FOV) and high-resolution (HR) imaging simultaneously by aperture synthesis in the frequency domain. The method has potential applications for remote sensing and space-based imaging. However, the aperture stop of the imaging system was generally set to be much smaller than the system with an adjustable diaphragm, so it failed to make full use of the imaging capability of the system. In this paper, a reflective remote FP with full aperture is proposed, and the optical aperture of the camera is set to be the maximum according to the sample-matching condition, which can further improve the imaging resolution by exploring the whole capability of the system. Firstly, the physical model of the remote FP is established using oblique illumination of a convergent spherical wave. Then, the sampling characteristics of the low-resolution (LR) intensity image are analyzed. Assuming diffraction-limited imaging, the size of the aperture of the optical system needs to match the sampling of the detector. An experimental setup with an imaging distance of 2.4 m is built, and a series of LR images is collected by moving the camera for the diffused samples, including the USAF resolution test target and the banknote, where the diameter of the single aperture is set to the maximum to match the size of the CCD pixel under the practical minimum F# of the camera of 2.8. The high-resolution image is reconstructed by applying the iterative phase retrieval algorithm. The experimental results show that the reconstructed resolution is improved to 2.5×. This verifies that remote FP with full aperture can effectively improve the imaging resolution using only the present single-aperture optical system. Full article
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10 pages, 3569 KiB  
Communication
Hybrid Refractive and Diffractive Testing Method for Free-Form Convex Mirror in High-Resolution Remote-Sensing Cameras
by Nan Deng, Yanjie Li, He Ma and Feifei Zhang
Remote Sens. 2024, 16(20), 3865; https://doi.org/10.3390/rs16203865 - 17 Oct 2024
Viewed by 1163
Abstract
The development of high-resolution and large field of view remote-sensing cameras is inextricably linked to the application of free-form mirrors. The free-form mirror offers higher design of freedom and is more effective at correcting aberrations in optical systems. The surface shape error of [...] Read more.
The development of high-resolution and large field of view remote-sensing cameras is inextricably linked to the application of free-form mirrors. The free-form mirror offers higher design of freedom and is more effective at correcting aberrations in optical systems. The surface shape error of a free-form mirror directly affects the imaging quality of remote-sensing cameras. Consequently, a high-precision free-form mirror detection method is of paramount importance. For the convex free-form surface mirror with a large aperture, a hybrid refractive and diffractive testing method combining computer-generated holography (CGH) and spherical mirrors for high-precision null test is proposed in this paper. When comparing the effect of error and the detection sensitivity of different designs, the results showed that the influence of the system error is reduced by about 42% and the sensitivity is increased by more than 2.6 times. The proposed method can achieve higher testing accuracy and represents an effective and feasible approach for the surface shape detection method. Full article
(This article belongs to the Special Issue Optical Remote Sensing Payloads, from Design to Flight Test)
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32 pages, 15160 KiB  
Article
Analyzing Temporal Characteristics of Winter Catch Crops Using Sentinel-1 Time Series
by Shanmugapriya Selvaraj, Damian Bargiel, Abdelaziz Htitiou and Heike Gerighausen
Remote Sens. 2024, 16(19), 3737; https://doi.org/10.3390/rs16193737 - 8 Oct 2024
Cited by 1 | Viewed by 1589
Abstract
Catch crops are intermediate crops sown between two main crop cycles. Their adoption into the cropping system has increased considerably in the last years due to its numerous benefits, in particular its potential in carbon fixation and preventing nitrogen leaching during winter. The [...] Read more.
Catch crops are intermediate crops sown between two main crop cycles. Their adoption into the cropping system has increased considerably in the last years due to its numerous benefits, in particular its potential in carbon fixation and preventing nitrogen leaching during winter. The growth period of catch crops in Germany is often marked by dense cloud cover, which limits land surface monitoring through optical remote sensing. In such conditions, synthetic aperture radar (SAR) emerges as a viable option. Despite the known advantages of SAR, the understanding of temporal behavior of radar parameters in relation to catch crops remains largely unexplored. Hence, in this study, we exploited the dense time series of Sentinel-1 data within the Copernicus Space Component to study the temporal characteristics of catch crops over a test site in the center of Germany. Radar parameters such as VV, VH, VH/VV backscatter, dpRVI (dual-pol Radar Vegetation Index) and VV coherence were extracted, and temporal profiles were interpreted for catch crops and preceding main crops along with in situ, temperature, and precipitation data. Additionally, we examined the temporal profiles of winter main crops (winter oilseed rape and winter cereals), that are grown parallel to the catch crop growing cycle. Based on the analyzed temporal patterns, we defined 22 descriptive features from VV, VH, VH/VV and dpRVI, which are specific to catch crop identification. Then, we conducted a Kruskal–Wallis test on the extracted parameters, both crop-wise and group-wise, to assess the significance of statistical differences among different catch crop groups. Our results reveal that there exists a unique temporal pattern for catch crops compared to main crops, and each of these extracted parameters possess a different sensitivity to catch crops. Parameters VV and VH are sensitive to phenological stages and crop structure. On the other hand, VH/VV and dpRVI were found to be highly sensitive to crop biomass. Coherence can be used to detect the sowing and harvest events. The preceding main crop analysis reveals that winter wheat and winter barley are the two dominant main crops grown before catch crops. Moreover, winter main crops (winter oilseed rape, winter cereals) cultivated during the catch crop cycle can be distinguished by exploiting the observed sowing window differences. The extracted descriptive features provide information about sowing, harvest, vigor, biomass, and early/late die-off nature specific to catch crop types. In the Kruskal–Wallis test, the observed high H-statistic and low p-value in several predictors indicates significant variability at 0.001 level. Furthermore, Dunn’s post hoc test among catch crop group pairs highlights the substantial differences between cold-sensitive and legume groups (p < 0.001). Full article
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14 pages, 2496 KiB  
Article
Imaging Analysis Method for a Paraxial Refractive Optical System with a Large Aperture Based on the Wave Aberration Method
by Yiqing Cao, Lijun Lu and Xiaonan Zhao
Symmetry 2024, 16(9), 1249; https://doi.org/10.3390/sym16091249 - 23 Sep 2024
Viewed by 1250
Abstract
Recently developed sixth-order wave aberration expressions of soft X-rays and a vacuum ultraviolet optical system are first extended to plane-symmetric refractive optical systems, and then, applying the transformation relations between plane-symmetric and paraxial refractive optical system, the sixth-order intrinsic and extrinsic wave aberration [...] Read more.
Recently developed sixth-order wave aberration expressions of soft X-rays and a vacuum ultraviolet optical system are first extended to plane-symmetric refractive optical systems, and then, applying the transformation relations between plane-symmetric and paraxial refractive optical system, the sixth-order intrinsic and extrinsic wave aberration coefficient expressions of a paraxial refractive optical system are derived. In addition, the corresponding fifth-order aberration expressions are also obtained. Finally, the resultant aberration expressions are applied to calculate the aberration on the image plane of one design example of a paraxial refractive optical system with a large aperture, and these calculation results are compared with ones obtained by ray-tracing software Zemax to prove that they have satisfactory calculation accuracy. Full article
(This article belongs to the Section Physics)
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