The parameter estimation of interference fringes with quadratic phase based on FRFT/DCFT

Ruo-Qi Xing; Xin Liang; De-Ming Shen; Hong-Tao Wei; Sai-Hui Fan; Er-Zhuo Liu; Ming-Feng Lu; Jin-Min Wu; Ran Tao

doi:10.1117/12.2638356

15 November 2022 The parameter estimation of interference fringes with quadratic phase based on FRFT/DCFT

Ruo-Qi Xing, Xin Liang, De-Ming Shen, Hong-Tao Wei, Sai-Hui Fan, Er-Zhuo Liu, Ming-Feng Lu, Jin-Min Wu, Ran Tao

Proceedings Volume 12448, 5th Optics Young Scientist Summit (OYSS 2022); 1244810 (2022) https://doi.org/10.1117/12.2638356
Event: 5th Optics Young Scientist Summit (OYSS 2022), 2022, Fuzhou, China

Abstract

Interferometry technology has a wide range of applications because of high accuracy and sensitivity, the core of which is the processing of interference fringe pattern. The interference fringes with quadratic phase are very common in interferometry measurement, which means that any sophisticated interference fringes can be decomposed or approximatively decomposed by them. Newton’s rings are typical interference fringes with quadratic phase, the physical parameters such as curvature radius and position of ring’s center are included in the pattern. The parameter estimation algorithm of Newton’s rings based on FRFT/DCFT needs only one pattern to realize the estimation through the method of signal processing with advantages of easy operation, high accuracy, high speed and strong anti-noise performance, for reason that the Newton’s ring is actually a two-dimension Chirp signal.

Citation Download Citation

Ruo-Qi Xing, Xin Liang, De-Ming Shen, Hong-Tao Wei, Sai-Hui Fan, Er-Zhuo Liu, Ming-Feng Lu, Jin-Min Wu, and Ran Tao "The parameter estimation of interference fringes with quadratic phase based on FRFT/DCFT", Proc. SPIE 12448, 5th Optics Young Scientist Summit (OYSS 2022), 1244810 (15 November 2022); https://doi.org/10.1117/12.2638356

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