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논문 기본 정보

자료유형
학술저널
저자정보
Hongxin Zhang (Harbin University of Science and Technology) Mengyuan Cui (Harbin University of Science and Technology)
저널정보
한국광학회 Current Optics and Photonics Current Optics and Photonics Vol.7 No.5
발행연도
2023.10
수록면
529 - 536 (8page)

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초록· 키워드

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The Morlet wavelet transform method is proposed to analyze a single interferogram with spatial carrier frequency that is captured by an optical interferometer. The method can retain low frequency components that contain the phase information of a measured optical surface, and remove high frequency disturbances by wavelet decomposition and reconstruction. The key to retrieving the phases from the low-frequency wavelet components is to extract wavelet ridges by calculating the maximum value of the wavelet transform amplitude. Afterwards, the wrapped phases can be accurately solved by multiple iterative calculations on wavelet ridges. Finally, we can reconstruct the wavefront of the measured optical element by applying two-dimensional discrete cosine transform to those wrapped phases. Morlet wavelet transform does not need to remove the spatial carrier frequency components manually in the processing of interferogram analysis, but the step is necessary in the Fourier transform algorithm. So, the Morlet wavelet simplifies the process of the analysis of interference fringe patterns compared to Fourier transform. Consequently, wavelet transform is more suitable for automated programming analysis of interference fringes and avoiding the introduction of additional errors compared with Fourier transform.

목차

I. INTRODUCTION
II. PRINCIPLES OF WAVELET TRANSFORM
III. EXPERIMENTAL RESULTS AND ANALYSIS
IV. CONCLUSION
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