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- Title
Deformation analysis of laser spectra based on S-R decomposition theorem.
- Authors
Jiang Yaodong; An Liqian; Liu Yanhua; Chen Zhida
- Abstract
In the Fourier spectral analyzer, the Fourier spectra or the Fraunhofer diffraction pattern of an image is formed on the back focal plane when a laser beam is directed on the image lying on the front focal plane. If the image is deformed, its Forier spectra are also subjected to change. Therefore the change of the Fourier spectra provides a particular beautiful insight into the deformation of that image. Through proposing the corresponding relationship between the image and its spectra, and analyzing the change of Fourier spectra, the deformation of the image can be obtained. Based on Fourier optical theory and S-R decomposition theorem of finite deformation, in this paper, a state of the art deformation measurement technique is presented by using laser spectral analysis. The theoretical foundation of this new technique related to mathematics and optics, experimental principle and the technique of automatic recognizing and processing of the deformed spectral image is discussed. The paper is as a special commemoration and memorial to the death anniversary of Professor Chen Zhida (1927–1998), who initially proposed the above academic idea in early 80s.
- Subjects
FOURIER analysis; SPECTRUM analysis; FOCAL planes; FRAUNHOFER lines; DIFFRACTION patterns; LASER beam diffraction; DEFORMATION of surfaces
- Publication
Applied Mathematics & Mechanics, 1999, Vol 20, Issue 11, p1190
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/BF02463786