Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform
In the simulation of partially coherent light propagation within optical systems utilizing the Wigner function, the constraints imposed by the Fourier transform necessitate that the dimensions of the input and output matrices remain congruent. Consequently, the extent of the image plane is dictated...
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MDPI AG
2025-02-01
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| author | Lujia Zhao Yu-Ang Liu Huiru Ji Haibo Wang Hao Tan Yan Mo Donglin Ma |
| author_facet | Lujia Zhao Yu-Ang Liu Huiru Ji Haibo Wang Hao Tan Yan Mo Donglin Ma |
| author_sort | Lujia Zhao |
| collection | DOAJ |
| description | In the simulation of partially coherent light propagation within optical systems utilizing the Wigner function, the constraints imposed by the Fourier transform necessitate that the dimensions of the input and output matrices remain congruent. Consequently, the extent of the image plane is dictated by the dimensions of the light source matrix and the propagation distance. For optical systems of greater complexity, such simulations are highly memory-intensive. This paper innovatively incorporates the displacement theorem of the chirp z-transform and integrates it with the Wigner function. This approach affords enhanced flexibility in the simulation of partially coherent light transmission, enabling the targeted simulation of regions of interest within the frequency domain of the optical system, thereby significantly improving simulation efficiency. The efficacy of this novel method is demonstrated through the simulation of a Wigner transmission algorithm based on the chirp z-transform, applied to an RC (Ritchey–Chrétien) telescope system. The RC telescope, known for its optical design that minimizes aberrations and provides high-quality imaging, serves as a critical foundation for the simulation. The resultant simulations exhibit a high degree of consistency with traditional methods while offering increased flexibility, thus corroborating the validity and effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-77a8e455c67f4101b66425bf1380bb7d |
| institution | DOAJ |
| issn | 1424-8220 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
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| series | Sensors |
| spelling | doaj-art-77a8e455c67f4101b66425bf1380bb7d2025-08-20T02:59:12ZengMDPI AGSensors1424-82202025-02-01255145410.3390/s25051454Paraxial Propagation of Scattered Light Based on the Chirp Z-TransformLujia Zhao0Yu-Ang Liu1Huiru Ji2Haibo Wang3Hao Tan4Yan Mo5Donglin Ma6National Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, ChinaInstitute of Optics, University of Rochester, 480 Intercampus Dr., Rochester, NY 14627, USANational Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, ChinaNational Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, ChinaNational Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, ChinaNational Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, ChinaNational Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, ChinaIn the simulation of partially coherent light propagation within optical systems utilizing the Wigner function, the constraints imposed by the Fourier transform necessitate that the dimensions of the input and output matrices remain congruent. Consequently, the extent of the image plane is dictated by the dimensions of the light source matrix and the propagation distance. For optical systems of greater complexity, such simulations are highly memory-intensive. This paper innovatively incorporates the displacement theorem of the chirp z-transform and integrates it with the Wigner function. This approach affords enhanced flexibility in the simulation of partially coherent light transmission, enabling the targeted simulation of regions of interest within the frequency domain of the optical system, thereby significantly improving simulation efficiency. The efficacy of this novel method is demonstrated through the simulation of a Wigner transmission algorithm based on the chirp z-transform, applied to an RC (Ritchey–Chrétien) telescope system. The RC telescope, known for its optical design that minimizes aberrations and provides high-quality imaging, serves as a critical foundation for the simulation. The resultant simulations exhibit a high degree of consistency with traditional methods while offering increased flexibility, thus corroborating the validity and effectiveness of the proposed approach.https://www.mdpi.com/1424-8220/25/5/1454Wigner functioncoherencepartially coherent lightchirp z-transformscatteringlight propagation |
| spellingShingle | Lujia Zhao Yu-Ang Liu Huiru Ji Haibo Wang Hao Tan Yan Mo Donglin Ma Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform Sensors Wigner function coherence partially coherent light chirp z-transform scattering light propagation |
| title | Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform |
| title_full | Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform |
| title_fullStr | Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform |
| title_full_unstemmed | Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform |
| title_short | Paraxial Propagation of Scattered Light Based on the Chirp Z-Transform |
| title_sort | paraxial propagation of scattered light based on the chirp z transform |
| topic | Wigner function coherence partially coherent light chirp z-transform scattering light propagation |
| url | https://www.mdpi.com/1424-8220/25/5/1454 |
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