Fringe analysis for thickness estimation of optical glass plate using Fizeau interferometer

Jeon, Jurim; Kim, Yangjin; Kim, Sung-Tae; Hibino, Kenichi; Sugita, Naohiko

doi:10.1016/j.optcom.2022.128086

Cited by 7 publications

(1 citation statement)

References 34 publications

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“…The SNR27 is independent of the frequency displacement of the PSA to demodulate the three signals of interest. [25] 13.864 0.660 2022 Jeon 11-steps [24] 7.111 0.646 2021 Hibino 11-steps [34] 5.102 0.464 1995 Kim 13-steps [20] 5.044 0.388 2020…”

Section: Phase Demodulation With a 27-steps Detuning Robust Psamentioning

confidence: 99%

Wavelength-stepping algorithm for testing the thickness and front and back surfaces of optical plates with high signal-to-noise ratio

Servı́n¹,

Padilla²,

Паез³

et al. 2023

J. Opt. Soc. Am. A

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We propose a least-squares phase-stepping algorithm (LS-PSA) consisting of only 14 steps for high-quality optical plate testing. Optical plate testing produces an infinite number of simultaneous fringe patterns due to multiple reflections. However, because of the small reflection of common optical materials, only a few simultaneous fringes have amplitudes above the measuring noise. From these fringes, only the variations of the plate’s surfaces and thicknesses are of interest. To measure these plates, one must use wavelength stepping, which corresponds to phase stepping in standard digital interferometry. The designed PSA must phase demodulate a single fringe sequence and filter out the remaining temporal fringes. In the available literature, researchers have adapted PSAs to the dimensions of particular plates. As a consequence, there are as many PSAs published as different testing plate conditions. Moreover, these PSAs are designed with too many phase steps to provide detuning robustness well above the required level. Instead, we mathematically prove that a single 14-step LS-PSA can adapt to several testing setups. As is well known, this 14-step LS-PSA has a maximum signal-to-noise ratio and the highest harmonic rejection among any other 14-step PSA. Due to optical dispersion and experimental length measuring errors, the fringes may have a slight phase detuning. Using propagation error theory, we demonstrate that measuring distances with around 1% uncertainty produces a small and acceptable detuning error for the proposed 14-step LS-PSA.

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