The Optical And Distortional Fractional Fourier Transform Of Surface Refraction System

The Deformation of the fractional Fourier transform is based on theappliation of The Deformation of fractional Fourier transformtechnique. It is the intension and promotion of Deformation of theFourier transform, which is raised by Szoplik. Ect.in1984. This theorystates that under the condition of the plane wave illumination, theyuse a group of cylindrical lenses which are orthogonal from eachother and have diffrernt focal length to make the Deformation of theFourier transform come true. In1985, Andress and his partners raisedthat two orthogonal cylindrical lenses can get more accurateDeformation of the Fourier transform and bigger angularmagnification and this theory is based on the Asymmetric Fouriertransform which is under the condition of Spherical wave illumination.Recent years, The Deformation of the fractional Fourier transform iswidely applied in the areas of the Optical encryption, the lens design,the phase matching, correlation detection, the scores of deformation,the Wavelet Transform and so on. After the advent of the Deformation of the fractional Fourier transform, a lot of its optical implementationmethods are also raised. But now the methed which uses Conicoidrefraction system is unknown.This article introducts the partern of the Optical fractional Fouriertransform and the Deformation of optical fractional Fourier transform.It also sketches the existing optical device which helps turning thefractional Fourier transform and Deformation of the fractional Fouriertransform into reality and its operating principle and physicalmechanism.What’s more, in this artical, we can see the computingmethod of the Spherical refraction system phase transformationfactor, the Spherical lens phase transformation factor, the Columnarrefraction system phase transformation factor. According to thismethed, we can calculates the phase transformation factor ofdifferent Refraction system when using different quadric surfaces asthe plane of refraction.We can also use the definition of focal powerand the parsing table of quadric surface to figure out the focal powerand parsing table of Conicoid refraction system. Besides, we canknow the Phase transformation factor of generalized Parsing table ofthe Conicoid refraction system. According to Huygens-fresnelprinciple, we can calculate the output function of the Parsing table ofConicoid refraction system. According to the Decision method ofwave front phase factor, we can calculate the structure parameter of Deformation of the fractional Fourier transform when using theParsing table of Conicoid refraction system. At last, on the basis ofinferred theory and the computer simulation experiment to verify theirreliability and feasibility.