Mode analysis in optics through fractional transforms

T. Alieva; M.J. Bastiaans

doi:10.1364/OL.24.001206

Mode analysis in optics through fractional transforms

T. Alieva, M.J. Bastiaans

Research output: Contribution to journal › Article › Academic › peer-review

14 Citations (Scopus)

Abstract

The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wavefront can be determined from its fractional Hankel transforms taken at the optical axis.

Original language	English
Pages (from-to)	1206-1208
Number of pages	3
Journal	Optics Letters
Volume	24
Issue number	17
DOIs	https://doi.org/10.1364/OL.24.001206
Publication status	Published - 1999

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title = "Mode analysis in optics through fractional transforms",

abstract = "The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wavefront can be determined from its fractional Hankel transforms taken at the optical axis.",

author = "T. Alieva and M.J. Bastiaans",

year = "1999",

doi = "10.1364/OL.24.001206",

language = "English",

volume = "24",

pages = "1206--1208",

journal = "Optics Letters",

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AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 1999

Y1 - 1999

N2 - The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wavefront can be determined from its fractional Hankel transforms taken at the optical axis.

AB - The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wavefront can be determined from its fractional Hankel transforms taken at the optical axis.

U2 - 10.1364/OL.24.001206

DO - 10.1364/OL.24.001206

M3 - Article

VL - 24

SP - 1206

EP - 1208

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 17

ER -