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Hibino K, Kim Y. Canceling the momentum in a phase-shifting algorithm to eliminate spatially uniform errors. Appl Opt. 2016;55(23):6331-5doi: 10.1364/AO.55.006331.
Hibino, K., & Kim, Y. (2016). Canceling the momentum in a phase-shifting algorithm to eliminate spatially uniform errors. Applied optics, 55(23), 6331-5. https://doi.org/10.1364/AO.55.006331
Hibino, Kenichi, and Kim, Yangjin. "Canceling the momentum in a phase-shifting algorithm to eliminate spatially uniform errors." Applied optics vol. 55,23 (2016): 6331-5. doi: https://doi.org/10.1364/AO.55.006331
Hibino K, Kim Y. Canceling the momentum in a phase-shifting algorithm to eliminate spatially uniform errors. Appl Opt. 2016 Aug 10;55(23):6331-5. doi: 10.1364/AO.55.006331. PMID: 27534475.
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Appl Opt. 2016 Aug 10;55(23):6331-5. doi: 10.1364/AO.55.006331.

Canceling the momentum in a phase-shifting algorithm to eliminate spatially uniform errors.

Applied optics

Kenichi Hibino, Yangjin Kim

PMID: 27534475 DOI: 10.1364/AO.55.006331

Abstract

In phase-shifting interferometry, phase modulation nonlinearity causes both spatially uniform and nonuniform errors in the measured phase. Conventional linear-detuning error-compensating algorithms only eliminate the spatially variable error component. The uniform error is proportional to the inertial momentum of the data-sampling weight of a phase-shifting algorithm. This paper proposes a design approach to cancel the momentum by using characteristic polynomials in the Z-transform space and shows that an arbitrary M-frame algorithm can be modified to a new (M+2)-frame algorithm that acquires new symmetry to eliminate the uniform error.

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