M. S. Kirilenko, R. O. Zubtsov, S. N. Khonina, “Calculation of eigenfunctions of a bounded fractional Fourier transform”, Computer Optics, 2015, Volume 39, Issue 3,Pages <nobr>332

This article is cited in 15 papers

OPTO-IT

Calculation of eigenfunctions of a bounded fractional Fourier transform

M. S. Kirilenko^ab, R. O. Zubtsov^a, S. N. Khonina^ab

^a Samara State Aerospace University, Samara, Russia
^b Image Processing Systems Institute, Samara, Russia, Russian Academy of Sciences

Abstract: In this paper we consider the use of a one-dimensional fractional Fourier transform for gradient-index optical waveguides. We calculate eigenfunctions of the transform in view of a limited range in the spatial and spectral domain.

Keywords: fractional Fourier transform, bounded paraxial operator, eigenfunctions, Hermite-Gaussian modes, spheroidal wave functions.

Received: 05.06.2015
Revised: 18.06.2015

DOI: 10.18287/0134-2452-2015-39-3-332-338