Researching | Analysis and optimization of noise tolerance for interferometer instrument transfer function

Optics and Precision Engineering, Volume. 32, Issue 11, 1653(2024)

Analysis and optimization of noise tolerance for interferometer instrument transfer function

Yaoxuan FAN^1,2, Wenxi ZHANG^1,2、*, Zhou WU^1,2, Shuai YANG¹, and Rikang QIN¹

Author Affiliations

¹Aerospace Information Research Institute， Chinses Academy of Sciences， Beijing00094， China

²School of Optoelectronics， University of Chinese Academy of Sciences， Beijing100049， China

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Figures&Tables (16)

References (24)

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Figures & Tables(16)

Fig. 1. Schematic of illumination train and imaging train of Fizeau interferometer

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Fig. 2. Distribution of phase step object through optical system

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Fig. 3. ITF curves of ideal system， system with λ/4 defocus and disturbed by noise

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Fig. 4. ITF curves with different ITF_RMS values

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Fig. 5. Measurement error-SNR curves

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Fig. 6. ITF_RMS-SNR curves

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Fig. 7. ITF_RMS-SNR curves using different sampling periods

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Fig. 8. ITF_RMS-SNR curves using different phase-shifting steps in ITF test

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Fig. 9. ITF_RMS-SNR curves of average results of repeated experiments

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Fig. 10. Filter processing result

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Fig. 11. ITF_RMS -SNR curves after median filter

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Fig. 12. Experiment and results

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Fig. 13. Interferogram， phase recovery map， profile recovery map and step trace positon

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Fig. 14. Step height and ITF curves obtained from experiment

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Fig. 15. Experimental optimal results

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Table 1. Object-image relationship and transfer function of coherent image system

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Table 1. Object-image relationship and transfer function of coherent image system

Element	Spatial domain	Frequency domain
Object	$A_{0} e^{- j U_{0} (x, y)}$	$F (A_{0} e^{- j U_{0} (x, y)})$
System	Point spread function	$H (f_{x}, f_{y}) = P (λ d f_{x}, λ d f_{y}) e x p (- j k W (λ d f_{x}, λ d f_{y}))$
Image	$A_{1} e^{- j U_{1} (x, y)}$	$F (A_{1} e^{- j U_{0} (x, y)})$
Object phase	$U_{0} (x, y)$	$F (U_{0} (x, y))$
System	Point spread function	$I T F = a b s (\frac{F (U_{1} (x, y))}{F (U_{0} (x, y))}) = \sqrt[]{\frac{P S D_{U_{1}}}{P S D_{U_{0}}}}$
Image phase	$U_{1} (x, y)$	$F (U_{1} (x, y))$

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Yaoxuan FAN, Wenxi ZHANG, Zhou WU, Shuai YANG, Rikang QIN. Analysis and optimization of noise tolerance for interferometer instrument transfer function[J]. Optics and Precision Engineering, 2024, 32(11): 1653

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Paper Information

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Received: Jan. 29, 2024

Accepted: --

Published Online: Aug. 8, 2024

The Author Email: Wenxi ZHANG (zhangwenxi@aoe.ac.cn)

DOI:10.37188/OPE.20243211.1653

Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology