The position shifting of frequency spectrum of Fourier transform in the application of aspheric surface testing

Junmiao Weng; Yongying Yang; Dong Liu; Yibing Shen; Yongmo Zhuo

doi:10.1117/12.760148

4 January 2008 The position shifting of frequency spectrum of Fourier transform in the application of aspheric surface testing

Junmiao Weng, Yongying Yang, Dong Liu, Yibing Shen, Yongmo Zhuo

Author Affiliations +

Proceedings Volume 6837, Information Optics and Photonics Technologies II; 68370G (2008) https://doi.org/10.1117/12.760148
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

In the measurement of aspheric surfaces, spatial phase modulation technology is always combined. With a tilt, the linear spatial carrier is introduced to enhance the signal noise ratio (SNR). Then using DFT on the interferogram, after spectrum shifting, the first order spectrum filter and IDFT, the wavefront phase of aspheric surface is obtained. In this paper, the traditional way to introduce spatial carrier, namely that the center of the first order spectrum is positioned on the x axis, is analyzed. This method exist a limitation which may influence the testing result. Thus a new method is put forward here. Make sure the slope of spatial carrier is unvaried, and transfer the first order spectrum to the bisector of x axis and y axis. This change can not only reserve the low frequency components of the first order spectrum, but also keep the high frequency components at a large extent. So in some circumstance, the wavefront phase of aspheric surface with a large PV value can't be recovered accurately by the traditional spatial carrier way, but it can be recovered accurately by the new way. This greatly expands the testing range of wavefront of aspheric surface.

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Junmiao Weng, Yongying Yang, Dong Liu, Yibing Shen, and Yongmo Zhuo "The position shifting of frequency spectrum of Fourier transform in the application of aspheric surface testing", Proc. SPIE 6837, Information Optics and Photonics Technologies II, 68370G (4 January 2008); https://doi.org/10.1117/12.760148

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KEYWORDS

Wavefronts

Aspheric lenses

Photovoltaics

Signal to noise ratio

Fourier transforms

Phase modulation

Computer simulations

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