New Eigenmodes of Propagation in Quadratic Graded Index Media and Complex Fractional Fourier Transform

作     者：FANHong－Yi FANYue 

作者机构：DepartmentofPhysicsShanghaiJiaoTongUniversityShangahai200030China DepartmentofMaterialScienceandEngineeringUniversityofScienceandTechnologyofChinaHefei230026China Department 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2003年第39卷第1期

页      面：97-100页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：国家自然科学基金 

主　　题：complex fractional Fourier transform two-mode Hermite polynomials 

摘      要：By introducing a convenient complex form of the α-th 2-dimensional fractional Fourier transform (CFFT) operation we find that it possesses new eigenmodes which are two-mode Hermite polynomials. We prove the eigenvalues of propagation in quadratic graded-index medium over a definite distance are the same as the eigenvalues of the α-th CFFT, which means that our definition of the α-th CFFT is physically meaningful.