Calculation of eigenfunctions of bounded waveguide with quadratic refractive index

International Conference of Young Scientists and Specialists "Optics-2015"

Kirilenko, M.S.^1,2 ; Zubtsov, R.O.^2 ; Khonina, S.N.^1,2

Image Processing Systems Institute, Russian Academy of Sciences, 151 Molodogvardeyskaya, Samara

443001, Russia^1

Samara State Aerospace University, 34 Moskovskoye Shosse, Samara

443086, Russia^2

关键词: Fractional Fourier transforms;    Hermite Gaussian modes;    Spheroidal function;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/735/1/012002/pdf
DOI  :  10.1088/1742-6596/735/1/012002

来源: IOP

【 摘 要 】

In this work, the one-dimensional finite fractional Fourier transform has been considered in application to gradient optical waveguides. The eigenfunctions of it has been discussed. The relation between obtained functions, Hermite-Gaussian modes and spheroidal functions has been shown. The dependence of input domain width and number of nonzero eigenfunctions of transformation has been demonstrated. The functions which recover its form at given distance from the front plane have been calculated.