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Keywords = wavefront sensing and analysis

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31 pages, 11837 KB  
Article
Inversion of ϕ-OTDR Spatial Windowing Effects Using Wiener Deconvolution for Improved Acoustic Wavefield Reconstruction
by Shangming Du, Tianwei Chen, Yuxing Duan, Ke Jiang, Song Wu, Can Guo and Lei Liang
Sensors 2026, 26(5), 1706; https://doi.org/10.3390/s26051706 - 8 Mar 2026
Viewed by 367
Abstract
The spatial response of rectangular pulse heterodyne phase-sensitive optical time-domain reflectometry (ϕ-OTDR) to an acoustic event is characterized by a windowing function rather than a point-like sensitivity. This effect degrades the system’s spatial resolution and introduces systematic errors in array signal [...] Read more.
The spatial response of rectangular pulse heterodyne phase-sensitive optical time-domain reflectometry (ϕ-OTDR) to an acoustic event is characterized by a windowing function rather than a point-like sensitivity. This effect degrades the system’s spatial resolution and introduces systematic errors in array signal processing. This work presents modeling analysis and a mitigation strategy for this fundamental limitation. The spatial windowing effect is modeled as a point spread function (PSF) derived from physical mechanisms and system parameters, including the pulse width, gauge length, and intra-pulse intensity dynamics. The PSF model is validated against measurements under near-ideal conditions using a fiber-coupled tuning fork. A Wiener filter-based deconvolution method is utilized to invert the windowed spatial response towards a point-like response. The effectiveness of this inversion is demonstrated through enhanced spatial resolution and accurate reconstruction of two-dimensional wavefront geometry. Furthermore, the impact of this effect on array signal processing is quantitatively evaluated. The results demonstrate that the proposed method effectively suppresses systematic errors in wavefield analysis, and specifically enhances the accuracy and confidence of steered response power—phase transform (SRP-PHAT) spatial spectrum estimation. This study provides a systematic framework for understanding, quantifying, and inverting the spatial response in ϕ-OTDR, enabling accurate and interpretable acoustic field sensing. Full article
(This article belongs to the Special Issue Distributed Sensors: Development and Applications)
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24 pages, 47366 KB  
Article
Extraction and Verification of Seismic Vibration Metrics via Laser Remote Sensing Utilizing Wavefront Sensors
by Donghua Zhou, Quan Luo, Yun Pan, Yiyou Fan, Haoming Chen, Wei Jiang and Jinshan Su
Sensors 2026, 26(5), 1533; https://doi.org/10.3390/s26051533 - 28 Feb 2026
Viewed by 303
Abstract
Seismic wave analysis is crucial for identifying subsurface formations and geological hazards. In this study, a seismic wave laser remote sensing system based on a Shack–Hartmann wavefront sensor was established by exploiting its high spatial resolution, array-based detection capability, and independent microlens spot [...] Read more.
Seismic wave analysis is crucial for identifying subsurface formations and geological hazards. In this study, a seismic wave laser remote sensing system based on a Shack–Hartmann wavefront sensor was established by exploiting its high spatial resolution, array-based detection capability, and independent microlens spot centroid measurement. This method was employed to analyze the correlation characteristics among vibration-related physical variables. Experiments were conducted to assess the quantitative correlation between vibration amplitude and spot centroid shift by the Shack–Hartmann wavefront sensor across a range of 0.06–5.94 mm. Accordingly, based on the measured centroid shift, vibration velocity was derived and validated through comparison with reference vibrometer measurements. In addition, the correlation between vibration amplitude and vibration velocity was systematically analyzed. The experimental results demonstrate strong linear correlation between amplitude and both spot centroid shift and vibration velocity, with coefficients of determination R2 exceeding 0.98. The vibration velocity obtained by the proposed system shows strong agreement with vibrometer data, confirming its effectiveness for low-frequency vibration detection. Measurement accuracy can be further improved by reducing noise. These results indicate that the proposed approach provides a promising laser remote sensing solution for seismic wave detection. Full article
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21 pages, 5269 KB  
Article
A Novel Ambiguity Resolution Method for Array Signals via Wavefront Modulation
by Yuhui Lei, Fubo Zhang, Wenjie Li, Yihao Xu, Longyong Chen and Shuo Liu
Electronics 2026, 15(4), 824; https://doi.org/10.3390/electronics15040824 - 14 Feb 2026
Viewed by 382
Abstract
Aimed at the elevation ambiguity problem in array synthetic aperture radar (SAR) three-dimensional imaging, this paper proposes a novel ambiguity-resolving method based on wavefront modulation. By introducing measured plasma lens modulation phases and constructing an array SAR signal echo model incorporating wavefront modulation, [...] Read more.
Aimed at the elevation ambiguity problem in array synthetic aperture radar (SAR) three-dimensional imaging, this paper proposes a novel ambiguity-resolving method based on wavefront modulation. By introducing measured plasma lens modulation phases and constructing an array SAR signal echo model incorporating wavefront modulation, the method effectively overcomes the physical size limitations of traditional array antennas. Theoretical analysis demonstrates that wavefront modulation significantly reduces the grating lobe level of the array pattern, equivalently increasing the number of array channels and thereby shortening the shortest baseline length, which enhances the system’s maximum unambiguous height. At the signal processing level, an observation equation based on compressed sensing is established, and target reconstruction is achieved using the Orthogonal Matching Pursuit (OMP) algorithm. Monte Carlo simulation results indicate that under the same signal-to-noise ratio conditions, when the observation range is extended to twice the theoretical maximum unambiguous height, the proposed method maintains a reconstruction success rate of over 95%, whereas the traditional method’s reconstruction success rate drops rapidly below 40% once the maximum unambiguous range is exceeded. This study also investigates the 3D reconstruction of spatial point targets and a rectangular building, with the analysis of their theoretical ambiguous positions confirming the method’s effectiveness in suppressing ambiguous targets in the vicinity of spatial point targets as well as in front of and behind the structure. This study provides a new technical approach to overcoming antenna size constraints on airborne platforms, with significant application value in fields such as digital elevation model construction and urban 3D imaging. Full article
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15 pages, 4164 KB  
Article
Comparison of Wavefront Sensing Methods for Solar Ground-Layer Adaptive Optics: Multi-Direction Averaging and Wide-Field Correlation
by Yuhe Liu, Ziming Li, Qianhan Zhou, Nanfei Yan, Xian Ran, Ao Tang, Zhen Li, Lanqiang Zhang and Changhui Rao
Photonics 2025, 12(12), 1153; https://doi.org/10.3390/photonics12121153 - 24 Nov 2025
Viewed by 474
Abstract
Solar ground-layer adaptive optics (GLAO) is widely recognized as a key technology for achieving high-resolution, wide-field imaging in ground-based solar telescopes. However, the accuracy differences among various wavefront sensing methods in solar GLAO remain unclear. In this study, Monte Carlo simulations and indoor [...] Read more.
Solar ground-layer adaptive optics (GLAO) is widely recognized as a key technology for achieving high-resolution, wide-field imaging in ground-based solar telescopes. However, the accuracy differences among various wavefront sensing methods in solar GLAO remain unclear. In this study, Monte Carlo simulations and indoor GLAO experiments were conducted to perform, for the first time, a comparative analysis of two representative wavefront sensing methods: multi-direction averaging (MD-A) and wide-field correlation (WF-C). The results demonstrate that WF-C consistently achieves higher detection accuracy than MD-A, although the differences between the two methods are small. With an increasing field of view (FoV), the detection accuracy of MD-A improves but remains lower than that of WF-C. In terms of correction performance, significant improvements in central FoV imaging were achieved using WF-C within narrow-to-moderate FoVs, whereas in wide and ultra-wide FoVs, MD-A produced more uniform image quality enhancements. Using the 1 m New Vacuum Solar Telescope (NVST) GLAO system as an example, MD-A is better suited to wide and future ultra-wide field imaging (over 80″), whereas WF-C is more appropriate for high-precision wavefront sensing within narrow to moderate fields (20″–60″). These findings provide both theoretical guidance and practical insights for the optimization of GLAO systems and wavefront sensing strategies in 1-meter-class wide-field solar telescopes. Full article
(This article belongs to the Special Issue Adaptive Optics in Astronomy)
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58 pages, 3300 KB  
Review
Roadmap for Exoplanet High-Contrast Imaging: Nulling Interferometry, Coronagraph, and Extreme Adaptive Optics
by Ziming Guo, Qichang An, Canyu Yang, Jincai Hu, Xin Li and Liang Wang
Photonics 2025, 12(10), 1030; https://doi.org/10.3390/photonics12101030 - 17 Oct 2025
Viewed by 2646
Abstract
The detection and characterization of exoplanets are central topics in astronomy, and high-contrast imaging techniques such nulling interferometry, coronagraphs, and extreme adaptive optics (ExAO) are key tools for the direct detection of exoplanets. This review synthesizes the pivotal role of these techniques in [...] Read more.
The detection and characterization of exoplanets are central topics in astronomy, and high-contrast imaging techniques such nulling interferometry, coronagraphs, and extreme adaptive optics (ExAO) are key tools for the direct detection of exoplanets. This review synthesizes the pivotal role of these techniques in astronomical research and critically analyzes their role as key drivers of progress in the field. Nulling interferometry suppresses stellar light through the phase control of multiple telescopes, thereby enhancing the detection of faint planetary signals. This technology has evolved from the initial Bracewell concept to the LIFE (Large Interferometer For Exoplanets) technique, which will achieve a contrast ratio of 10−7 in the mid-infrared wavelength range in the future. Coronagraphs block starlight to create a “dark region” for direct observation of exoplanets. By leveraging innovative mask designs, theoretical contrast ratios of up to 4 × 10−9 can be achieved. ExAO systems achieve precise wavefront correction to optimize the high-contrast imaging performance and mitigate atmospheric disturbances. By leveraging wavefront sensing, thousand-element deformable mirrors, and real-time control algorithms, these systems suppress the turbulence correction residuals to 80 nm RMS, enabling ground-based telescopes to achieve a Strehl ratio exceeding 0.9. This work provides a comprehensive analysis of the underlying principles, prevailing challenges, and future application prospects of these technologies in astronomy. Full article
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18 pages, 7440 KB  
Article
The Impact of Dual-Wavefront Propagation of Electromagnetic Waves in Bio-Tissues on Imaging and In-Body Communications
by Lei Guo, Kamel Sultan, Fei Xue and Amin Abbosh
Biosensors 2025, 15(10), 667; https://doi.org/10.3390/bios15100667 - 3 Oct 2025
Viewed by 1069
Abstract
Understanding how electromagnetic (EM) waves travel through different tissues is important for EM medical imaging, sensing, and in-body communication. It is known that EM waves in lossy bio-tissues are nonuniform and do not strictly follow the least time or least loss paths. Instead, [...] Read more.
Understanding how electromagnetic (EM) waves travel through different tissues is important for EM medical imaging, sensing, and in-body communication. It is known that EM waves in lossy bio-tissues are nonuniform and do not strictly follow the least time or least loss paths. Instead, they exhibit two distinct wavefronts: the phase wavefront and the amplitude wavefront, which are generally oriented at different angles. The impact of that on imaging and in-body communications is investigated and validated through comprehensive analysis and full-wave EM simulations. Additionally, the impact of a matching medium, commonly used to reduce antenna–skin interface reflections in medical EM applications, on the direction of EM wavefronts, travel time, phase changes, and attenuation is analyzed and quantified. The results show that the Fermat principle of least travel time, often used to estimate EM wave travel time for localization in medical imaging and wireless endoscopy, is only accurate when the loss tangent or dissipation factor of both the matching medium and tissues is very low. Otherwise, the results will be inaccurate, and the dual wavefronts should be considered. The presented analysis and results provide guidance on EM wave travel time and the direction of phase and amplitude wavefronts. This information is valuable for developing reliable processing algorithms for sensing, imaging, and in-body communication. Full article
(This article belongs to the Special Issue Biosensing and Diagnosis—2nd Edition)
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32 pages, 2548 KB  
Review
Interference Field Control for High-Uniformity Nanopatterning: A Review
by Jingwen Li and Xinghui Li
Sensors 2025, 25(18), 5719; https://doi.org/10.3390/s25185719 - 13 Sep 2025
Cited by 4 | Viewed by 2408
Abstract
Interference lithography (IL) offers high throughput, excellent uniformity, and maskless patterning capabilities. Compared to other methods, IL enables large-area, cost-effective fabrication of periodic structures with subwavelength resolution, which is particularly valuable for sensing applications, enabling the development of more sensitive, high-resolution, and reliable [...] Read more.
Interference lithography (IL) offers high throughput, excellent uniformity, and maskless patterning capabilities. Compared to other methods, IL enables large-area, cost-effective fabrication of periodic structures with subwavelength resolution, which is particularly valuable for sensing applications, enabling the development of more sensitive, high-resolution, and reliable sensors. This review provides a comprehensive analysis of IL from the perspective of optical field control. We first introduce the principles of interference field formation and summarize key system architectures, including Mach–Zehnder and Lloyd’s mirror configurations, as well as advanced schemes such as multi-beam interference and multi-step exposure for complex pattern generation. We then examine how wavefront engineering, polarization modulation, and phase stabilization influence pattern morphology, contrast, and large-area uniformity. To address dynamic drifts caused by environmental perturbations, both passive vibration isolation and active fringe-locking techniques are discussed. For fringe-locking systems, we review methods for drift monitoring, control algorithms, and feedback implementation. These developments enhance the capability of IL systems to deliver nanoscale accuracy under dynamic conditions, which is essential for stable and high-performance sensing. Looking ahead, IL is evolving into a versatile platform for sensor-oriented nanofabrication. By integrating physical modeling, precision optics, and real-time control, IL provides a robust foundation for advancing next-generation sensing technologies with higher sensitivity, resolution, and reliability. Full article
(This article belongs to the Section Nanosensors)
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31 pages, 12887 KB  
Review
Metasurfaces in Optical Biosensing: Revolutionizing Detection Techniques and Shaping the Future
by Sunil Kumar, Harbinder Singh and Dhiraj Kumar Singh
Photonics 2025, 12(4), 360; https://doi.org/10.3390/photonics12040360 - 10 Apr 2025
Cited by 8 | Viewed by 4656
Abstract
Metasurfaces have been widely investigated across the disciplines of optical biosensing due to their exceptional ability to manipulate electromagnetic fields. Consequently, over the past few years, there has been growing interest in the application of metasurfaces in optical biosensors in the field of [...] Read more.
Metasurfaces have been widely investigated across the disciplines of optical biosensing due to their exceptional ability to manipulate electromagnetic fields. Consequently, over the past few years, there has been growing interest in the application of metasurfaces in optical biosensors in the field of biomedical sensing. While being label-free and offering real-time tracking, high sensitivity, and a quick response are among the benefits of conventional optical biosensors, the incorporation of metasurfaces improves their wavefront manipulation, selectivity for versatile sensing, and capacity for device miniaturization to satisfy increasingly complex application requirements. Furthermore, there is a lack of comprehensive evaluations that address the current research developments and future possibilities, despite the encouraging advancements in this emerging field. Hence, this work provides a comprehensive review and serves as a valuable resource for researchers exploring metasurface-based optical biosensors. This review delves into defining the basic sensing concepts, design procedures, and important figures of merit (FOM) for metasurface-based optical biosensors and their applications, including the detection of numerous analytes, such as viruses, toxins, antibodies, tumors, and drugs and the monitoring of blood sugar. Furthermore, presenting a critical evaluation of structural fabrication techniques with a view toward potential future commercialization, this review ends by highlighting several fascinating areas for further investigation. For this review article, a total of 5844 effective documents about metasurface optical biosensors were retrieved from the Scopus database. The VOSviewer version 1.6.20 bibliometric software was used for the scientific analysis of the data retrieved from the Scopus database from 2010 to 2025. Full article
(This article belongs to the Special Issue Optical Metasurfaces: Applications and Trends)
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42 pages, 11528 KB  
Article
A Framework for Iterative Phase Retrieval Technique Integration into Atmospheric Adaptive Optics—Part II: High Resolution Wavefront Control in Strong Scintillations
by Mikhail A. Vorontsov and Ernst Polnau
Photonics 2025, 12(3), 185; https://doi.org/10.3390/photonics12030185 - 23 Feb 2025
Cited by 2 | Viewed by 2137
Abstract
In this paper, we introduce atmospheric adaptive optics (AO) system architectures that utilize scintillation-resistant wavefront sensors based on iterative phase retrieval (IPR) techniques (described in detail in Part I) for closed-loop mitigation of atmospheric turbulence-induced wavefront aberrations in strong intensity scintillation conditions. The [...] Read more.
In this paper, we introduce atmospheric adaptive optics (AO) system architectures that utilize scintillation-resistant wavefront sensors based on iterative phase retrieval (IPR) techniques (described in detail in Part I) for closed-loop mitigation of atmospheric turbulence-induced wavefront aberrations in strong intensity scintillation conditions. The objective is to provide a framework (mathematical and numerical models, performance metrics, control algorithms, and wave-optics modeling and simulation results) for the potential integration of IPR-based wavefront sensing techniques into the following major atmospheric optics system types: directed energy laser beam projection, remote laser power delivery (remote power beaming), and free-space optical communications. Theoretical analysis and numerical simulation results demonstrate that the proposed closed-loop AO system architectures and control algorithms can be uniquely applicable for addressing one of the most challenging AO problems of turbulence effects mitigation in the presence of strong-intensity scintillations. Full article
(This article belongs to the Special Issue Challenges and Future Directions in Adaptive Optics Technology)
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31 pages, 6532 KB  
Article
A Framework for Iterative Phase Retrieval Technique Integration into Atmospheric Adaptive Optics—Part I: Wavefront Sensing in Strong Scintillations
by Mikhail A. Vorontsov and Ernst Polnau
Photonics 2024, 11(9), 786; https://doi.org/10.3390/photonics11090786 - 23 Aug 2024
Cited by 3 | Viewed by 1924
Abstract
The objective of this study, which is divided into two parts, is twofold: to address long-standing challenges in the sensing of atmospheric turbulence-induced wavefront aberrations under strong scintillation conditions via a comparative analysis of several basic scintillation-resistant wavefront sensing (SR-WFS) architectures and iterative [...] Read more.
The objective of this study, which is divided into two parts, is twofold: to address long-standing challenges in the sensing of atmospheric turbulence-induced wavefront aberrations under strong scintillation conditions via a comparative analysis of several basic scintillation-resistant wavefront sensing (SR-WFS) architectures and iterative phase retrieval (IPR) techniques (Part I, this paper), and to develop a framework for the potential integration of SR-WFS techniques into practical closed-loop non-astronomical atmospheric adaptive optics (AO) systems (Part II). In this paper, we consider basic SR-WFS mathematical models and phase retrieval algorithms, tradeoffs in sensor design and phase retrieval technique implementation, and methodologies for WFS parameter optimization and performance assessment. The analysis is based on wave-optics numerical simulations imitating realistic turbulence-induced phase aberrations and intensity scintillations, as well as optical field propagation inside the SR-WFSs. Several potential issues important for the practical implementation of SR-WFS and IPR techniques, such as the requirements for phase retrieval computational grid resolution, tolerance with respect to optical element misalignments, and the impact of camera noise and input light non-monochromaticity, are also considered. The results demonstrate that major wavefront sensing requirements desirable for AO operation under strong intensity scintillations can potentially be achieved by transitioning to novel SR-WFS architectures, based on iterative phase retrieval techniques. Full article
(This article belongs to the Special Issue Challenges and Future Directions in Adaptive Optics Technology)
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15 pages, 975 KB  
Article
Analysis of Beam Walk in Inter-Satellite Laser Link: Implications for Differential Wavefront Sensing in Gravitational Wave Detection
by Xing-Guang Qian, Zhao Cui, Hao-Qi Shi, Xue Wang, Wei-Lai Yao, Rui-Hong Gao and Yi-Kun Wang
Appl. Sci. 2024, 14(13), 5526; https://doi.org/10.3390/app14135526 - 25 Jun 2024
Cited by 4 | Viewed by 2280
Abstract
Achieving space-based gravitational wave detection requires the establishment of an interferometer constellation. It is necessary to establish and maintain stable laser interferometric links using the differential wavefront sensing (DWS) technnique. When the distant measurement beam experiences pointing jitter, it causes beam walk on [...] Read more.
Achieving space-based gravitational wave detection requires the establishment of an interferometer constellation. It is necessary to establish and maintain stable laser interferometric links using the differential wavefront sensing (DWS) technnique. When the distant measurement beam experiences pointing jitter, it causes beam walk on the surface of the local detector. The reduced overlap between the local reference spot and the distant spot increases the nonlinear errors in the DWS technique, which need to be suppressed. Numerical analysis was conducted on the spatial beam interference signals of the DWS technique when the distant measurement beam experienced pointing jitter. An experimental measurement system was designed, and the beam walk was suppressed using a conjugate imaging system. The results show that within a range of 300 μrad, the optical path with the imaging system can reduce measurement errors by at least 83%. This way also helps to reduce pointing jitter noise in inter-satellite links, thereby improving laser pointing control accuracy.This method would provide a valuable reference for future DWS measurement systems. Full article
(This article belongs to the Special Issue Advances in Optical Instrument and Measurement Technology)
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12 pages, 2362 KB  
Article
Laser Remote Sensing of Seismic Wave with Sub-Millimeter Scale Amplitude Based on Doppler Characteristics Extracted from Wavefront Sensor
by Quan Luo, Hongsheng Luo, Guihan Wu, Xiang Ji, Jinshan Su and Wei Jiang
Photonics 2024, 11(3), 204; https://doi.org/10.3390/photonics11030204 - 24 Feb 2024
Cited by 5 | Viewed by 2026
Abstract
Laser remote sensing of earthquake waves has the potential to be used in many applications. This article shows a Doppler model for laser remote sensing of seismic waves based on a wavefront sensor. The longitudinal vibration wave is analyzed using remote sensing, guided [...] Read more.
Laser remote sensing of earthquake waves has the potential to be used in many applications. This article shows a Doppler model for laser remote sensing of seismic waves based on a wavefront sensor. The longitudinal vibration wave is analyzed using remote sensing, guided by theoretical principles. To determine the magnitude of ground vibration, we employ the method of wavefront phase change analysis, utilizing a continuous laser emitting light with a wavelength of 635 nm to illuminate the ground target. The ground vibration amplitude within the range of 0.12–1.18 mm was examined, confirming the reasonableness of the Doppler model. Simultaneously, the experimental findings indicate that the system exhibits a certain enhancement in detection accuracy compared to the conventional laser remote sensing detection technique. This approach can detect vibration signals at a sub-millimeter scale level, with an accuracy of 1% to 2%. The approach can fulfill the requirements for detecting seismic waves with low frequencies. Full article
(This article belongs to the Special Issue Optical Communication, Sensing and Network)
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21 pages, 970 KB  
Article
Frequency Division Control of Line-of-Sight Tracking for Space Gravitational Wave Detector
by Huifang Deng and Yunhe Meng
Sensors 2022, 22(24), 9721; https://doi.org/10.3390/s22249721 - 12 Dec 2022
Cited by 6 | Viewed by 2303
Abstract
The space gravitational wave detector uses the inter-satellite laser interferometer to measure a change in distance with ultra-high precision at the picometer level. Its special differential wavefront sensing technology based on laser interference is used to obtain the ultra-high-precision relative attitude between spacecrafts. [...] Read more.
The space gravitational wave detector uses the inter-satellite laser interferometer to measure a change in distance with ultra-high precision at the picometer level. Its special differential wavefront sensing technology based on laser interference is used to obtain the ultra-high-precision relative attitude between spacecrafts. In order to acquire the measurement, it is necessary to maintain high-precision attitude pointing and alignment for the optical path line-of-sight of the detector. This paper proposes a frequency division control method. More specifically, we chose the telescope attitude control loop frequency division as it is the faster response part, mainly relative to the high-frequency band within the measurement bandwidth. The spacecraft attitude frequency division is mainly in the low-frequency band within the measurement bandwidth. Finally, a high-precision simulation analysis is carried out. The results show that compared with traditional methods, the use of frequency division control design can significantly improve the attitude and pointing stability of the system and provide control support for systems requiring high pointing coordination accuracy, such as space gravity wave detectors. Full article
(This article belongs to the Section Remote Sensors)
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12 pages, 2195 KB  
Article
Computational Method for Wavefront Sensing Based on Transport-of-Intensity Equation
by Iliya Gritsenko, Michael Kovalev, George Krasin, Matvey Konoplyov and Nikita Stsepuro
Photonics 2021, 8(6), 177; https://doi.org/10.3390/photonics8060177 - 22 May 2021
Cited by 8 | Viewed by 5073
Abstract
Recently the transport-of-intensity equation as a phase imaging method turned out as an effective microscopy method that does not require the use of high-resolution optical systems and a priori information about the object. In this paper we propose a mathematical model that adapts [...] Read more.
Recently the transport-of-intensity equation as a phase imaging method turned out as an effective microscopy method that does not require the use of high-resolution optical systems and a priori information about the object. In this paper we propose a mathematical model that adapts the transport-of-intensity equation for the purpose of wavefront sensing of the given light wave. The analysis of the influence of the longitudinal displacement z and the step between intensity distributions measurements on the error in determining the wavefront radius of curvature of a spherical wave is carried out. The proposed method is compared with the traditional Shack–Hartmann method and the method based on computer-generated Fourier holograms. Numerical simulation showed that the proposed method allows measurement of the wavefront radius of curvature with radius of 40 mm and with accuracy of ~200 μm. Full article
(This article belongs to the Special Issue Optical Sensing)
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19 pages, 3444 KB  
Article
A Microwave Three-Dimensional Imaging Method Based on Optimal Wave Spectrum Reconstruction
by Yan Zhang, Baoping Wang, Yang Fang and Zuxun Song
Sensors 2020, 20(24), 7306; https://doi.org/10.3390/s20247306 - 19 Dec 2020
Cited by 1 | Viewed by 2603
Abstract
Limited by the Shannon–Nyquist sampling law, the number of antenna elements and echo signal data of the traditional microwave three-dimensional (3D) imaging system are extremely high. Compressed sensing imaging methods based on sparse representation of target scene can reduce the data sampling rate, [...] Read more.
Limited by the Shannon–Nyquist sampling law, the number of antenna elements and echo signal data of the traditional microwave three-dimensional (3D) imaging system are extremely high. Compressed sensing imaging methods based on sparse representation of target scene can reduce the data sampling rate, but the dictionary matrix of these methods takes a lot of memory, and the imaging has poor quality for continuously distributed targets. For the above problems, a microwave 3D imaging method based on optimal wave spectrum reconstruction and optimization with target reflectance gradient is proposed in this paper. Based on the analysis of the spatial distribution characteristics of the target echo in the frequency domain, this method constructs an orthogonal projection reconstruction model for the wavefront to realize the optimal reconstruction of the target wave spectrum. Then, the inverse Fourier transform of the optimal target wave spectrum is optimized according to the law of the target reflectance gradient distribution. The proposed method has the advantages of less memory space and less computation time. What is more, the method has a better imaging quality for the continuously distributed target. The computer simulation experiment and microwave anechoic chamber measurement experiment verify the effectiveness of the proposed method. Full article
(This article belongs to the Special Issue Computational Spectral Imaging)
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