Phase-dependent Poisson noise when estimating fringe phase from patterns of multiple fringes

John F. Belsher; Victor L. Gamiz; Phillip H. Roberts

doi:10.1117/12.364137

30 September 1999 Phase-dependent Poisson noise when estimating fringe phase from patterns of multiple fringes

John F. Belsher, Victor L. Gamiz, Phillip H. Roberts

Proceedings Volume 3815, Digital Image Recovery and Synthesis IV; (1999) https://doi.org/10.1117/12.364137
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In many electro-optics applications, including some active imaging concepts, it is necessary to measure the amplitude and/or phase of the beat between pairs of optical beams. Here we show that in the presence of Poisson shot noise, under certain conditions the variance of the error in measuring these quantities depends on the characteristics of the beating beams. Specifically, with multiple beats present, if one beat signal has a frequency which is twice the frequency of another beat, then the variance of the estimate of phase of the lower frequency beat will depend on the phase of the higher frequency beat. Also, if the sample rate is such that there are exactly three samples per cycle of any of the beats then the variance of the phase estimate for that beat will depend on the phase being measured. Neither of these effects is present for independent additive detection noise. The effects should be considered when designing an optical system.

Citation Download Citation

John F. Belsher, Victor L. Gamiz, and Phillip H. Roberts "Phase-dependent Poisson noise when estimating fringe phase from patterns of multiple fringes", Proc. SPIE 3815, Digital Image Recovery and Synthesis IV, (30 September 1999); https://doi.org/10.1117/12.364137

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