Shot noise-limited Cramér-Rao bound and algorithmic sensitivity for wavelength shifting interferometry

Shichao Chen; Yizheng Zhu

doi:10.1117/12.2254703

21 February 2017 Shot noise-limited Cramér-Rao bound and algorithmic sensitivity for wavelength shifting interferometry

Shichao Chen, Yizheng Zhu

Proceedings Volume 10074, Quantitative Phase Imaging III; 100741G (2017) https://doi.org/10.1117/12.2254703
Event: SPIE BiOS, 2017, San Francisco, California, United States

Abstract

Sensitivity is a critical index to measure the temporal fluctuation of the retrieved optical pathlength in quantitative phase imaging system. However, an accurate and comprehensive analysis for sensitivity evaluation is still lacking in current literature. In particular, previous theoretical studies for fundamental sensitivity based on Gaussian noise models are not applicable to modern cameras and detectors, which are dominated by shot noise. In this paper, we derive two shot noiselimited theoretical sensitivities, Cramér-Rao bound and algorithmic sensitivity for wavelength shifting interferometry, which is a major category of on-axis interferometry techniques in quantitative phase imaging. Based on the derivations, we show that the shot noise-limited model permits accurate estimation of theoretical sensitivities directly from measured data. These results can provide important insights into fundamental constraints in system performance and can be used to guide system design and optimization. The same concepts can be generalized to other quantitative phase imaging techniques as well.

Citation Download Citation

Shichao Chen and Yizheng Zhu "Shot noise-limited Cramér-Rao bound and algorithmic sensitivity for wavelength shifting interferometry", Proc. SPIE 10074, Quantitative Phase Imaging III, 100741G (21 February 2017); https://doi.org/10.1117/12.2254703

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