Abstract

Interferometric techniques are widely used for interrogation of various optical sensors. Techniques utilizing harmonic auxiliary phase modulation are of special interest from a practical point of view, as they do not require a large bandwidth and dynamic range of a phase modulator, yet are capable of accurately demodulating target phase signals when jointed with proper demodulation algorithms. The current paper presents a universal theoretical apparatus aimed at estimating the influence of the noise of an interference signal on noise of the demodulated phase. Two demodulation algorithms developed in our previously published paper [Appl. Opt. 56, 7960 (2017) [CrossRef]  ] are analyzed in terms of their susceptibility to additive noise. By comparing the obtained results with the Cramer–Rao bound, optimal conditions for these algorithms are found.

© 2021 Optical Society of America

Signal detection algorithms for interferometric sensors with harmonic phase modulation: distortion analysis and suppression

Leonid Liokumovich, Andrei Medvedev, Konstantin Muravyov, Philipp Skliarov, and Nikolai Ushakov
Appl. Opt. 56(28) 7960-7968 (2017)

Signal detection algorithms for interferometric sensors with harmonic phase modulation: miscalibration of modulation parameters

Leonid Liokumovich, Konstantin Muravyov, Philipp Skliarov, and Nikolai Ushakov
Appl. Opt. 57(25) 7127-7134 (2018)

Phase-unwrapping method based on local polynomial models and a maximum a posteriori model correction

Alejandro Téllez-Quiñones, Juan C. Valdiviezo-N, Adán Salazar-Garibay, Hugo Carlos-Martínez, and Jesús A. Monroy-Anieva
Appl. Opt. 60(5) 1121-1131 (2021)

Fast and accurate phase-unwrapping algorithm based on the transport of intensity equation: comment

Naru Yoneda, Takahiro Sakai, and Takanori Nomura
Appl. Opt. 60(24) 7500-7501 (2021)

Additive noise effect in digital phase detection

Yves Surrel
Appl. Opt. 36(1) 271-276 (1997)