Deformation analysis of laser spectra based on S-R decomposition theorem

In the Fourier spectral analyzer, the Fourier spectra or the Fraunhofer dif fraction 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 th e change of the Fourier spectra provides a particular beautiful insight int o the deformation of that image. Through proposing the corresponding relati onship between the image and its spectra, and analyzing the change of Fouri er 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 b y using laser spectral analysis. The theoretical foundation of this new tec hnique related to mathematics and optics, experimental principle and the te chnique of automatic recognizing and processing of rile deformed spectral i mage is discussed. The paper is as a special commemoration and memorial to the death anniversary of Professor Chen Zhida (1927 similar to 1998) , who initially proposed the above academic idea in early 80s.