Effect of quantization error on the computed phase of phase-shifting measurements

Bing Zhao; Yves Surrel

doi:10.1364/AO.36.002070

Applied Optics
Vol. 36,
Issue 10,
pp. 2070-2075
(1997)
•https://doi.org/10.1364/AO.36.002070

Effect of quantization error on the computed phase of phase-shifting measurements

Bing Zhao and Yves Surrel

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Bing Zhao and Yves Surrel, "Effect of quantization error on the computed phase of phase-shifting measurements," Appl. Opt. 36, 2070-2075 (1997)

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Abstract

The effect of the quantization of fringe intensity on the phase error in phase-shifting measurements is formulated by a characteristic polynomial method. A numerical simulation is performed, and its result is in good agreement with the analytical one. Several factors influencing the quantization effects are investigated.

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		64		256		1024
R δ	N = 2π/δ	σ_A	σ_S	σ_A	σ_S	σ_A	σ_S
2π/3	3	1.28	1.28	0.30	0.30	0.07	0.07
2π/4	4	1.47	1.47	0.35	0.35	0.09	0.09
2π/5	5	0.96	0.97	0.22	0.22	0.06	0.06
2π/6	6	1.28	1.28	0.30	0.30	0.07	0.07
2π/7	7	0.69	0.69	0.18	0.18	0.05	0.05
2π/8	8	1.03	1.02	0.25	0.25	0.06	0.06
2π/9	9	0.71	0.71	0.19	0.19	0.04	0.04
2π/10	10	0.96	0.97	0.22	0.22	0.06	0.06
2π/11	11	0.48	0.48	0.16	0.16	0.04	0.04
2π/12	12	0.98	0.98	0.20	0.20	0.05	0.05
2π/13	13	0.59	0.59	0.15	0.15	0.03	0.03
2π/14	14	0.69	0.69	0.18	0.18	0.05	0.05
2π/15	15	0.53	0.53	0.13	0.13	0.03	0.03
2π/16	16	0.79	0.79	0.18	0.18	0.05	0.04

R	64	128	256
σ_A	1.49	0.70	0.36
σ_B	1.44	0.72	0.36

		64		256		1024
R δ	N = 2π/δ	σ_A	σ_S	σ_A	σ_S	σ_A	σ_S
2π/3	3	1.28	1.28	0.30	0.30	0.07	0.07
2π/4	4	1.47	1.47	0.35	0.35	0.09	0.09
2π/5	5	0.96	0.97	0.22	0.22	0.06	0.06
2π/6	6	1.28	1.28	0.30	0.30	0.07	0.07
2π/7	7	0.69	0.69	0.18	0.18	0.05	0.05
2π/8	8	1.03	1.02	0.25	0.25	0.06	0.06
2π/9	9	0.71	0.71	0.19	0.19	0.04	0.04
2π/10	10	0.96	0.97	0.22	0.22	0.06	0.06
2π/11	11	0.48	0.48	0.16	0.16	0.04	0.04
2π/12	12	0.98	0.98	0.20	0.20	0.05	0.05
2π/13	13	0.59	0.59	0.15	0.15	0.03	0.03
2π/14	14	0.69	0.69	0.18	0.18	0.05	0.05
2π/15	15	0.53	0.53	0.13	0.13	0.03	0.03
2π/16	16	0.79	0.79	0.18	0.18	0.05	0.04

R	64	128	256
σ_A	1.49	0.70	0.36
σ_B	1.44	0.72	0.36

Abstract

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Equations (28)

Applied Optics