From Étendue to the Lowest Fundamental SNR: Pixel Étendue (Optogeometric Factor) Interpreted as Mode Count
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918131256000512 |
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| author | Sova, Jan Kolaříková, Marie |
| author_facet | Sova, Jan Kolaříková, Marie |
| contents | The optogeometric factor, recently introduced as a pixel level form of étendue, quantifies the spatial angular throughput of a detector element. In this work its interpretation is extended by identifying optogeometric factor with the number of accessible optical modes per pixel. This mode based perspective establishes a direct link between radiometric throughput and quantum photon statistics.
By combining optogeometric factor with the Bose Einstein distribution, an estimate of the lowest achievable signal to noise ratio (SNR) at the pixel level is derived.
Explicit formulas are presented in both scene-based and sensor based forms, showing how the minimal SNR depends on aperture geometry, pixel pitch, f-number, wavelength, and source temperature. This formulation provides a compact and physically transparent benchmark for evaluating imaging sensors against the lowest expected quantum noise limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19434 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Étendue to the Lowest Fundamental SNR: Pixel Étendue (Optogeometric Factor) Interpreted as Mode Count Sova, Jan Kolaříková, Marie Quantum Physics Instrumentation and Detectors Optics The optogeometric factor, recently introduced as a pixel level form of étendue, quantifies the spatial angular throughput of a detector element. In this work its interpretation is extended by identifying optogeometric factor with the number of accessible optical modes per pixel. This mode based perspective establishes a direct link between radiometric throughput and quantum photon statistics. By combining optogeometric factor with the Bose Einstein distribution, an estimate of the lowest achievable signal to noise ratio (SNR) at the pixel level is derived. Explicit formulas are presented in both scene-based and sensor based forms, showing how the minimal SNR depends on aperture geometry, pixel pitch, f-number, wavelength, and source temperature. This formulation provides a compact and physically transparent benchmark for evaluating imaging sensors against the lowest expected quantum noise limit. |
| title | From Étendue to the Lowest Fundamental SNR: Pixel Étendue (Optogeometric Factor) Interpreted as Mode Count |
| topic | Quantum Physics Instrumentation and Detectors Optics |
| url | https://arxiv.org/abs/2508.19434 |