Finite-mode analysis by means of intensity information in fractional optical systems

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Abstract

It is shown how a coherent optical signal that contains only a finite number of Hermite-Gauss modes, can be reconstructed from the knowledge of its Radon-Wigner transform -- associated with the intensity distribution in a fractional Fourier transform optical system -- at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions.
Original languageEnglish
Pages (from-to)481-484
Number of pages4
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume19
Issue number3
DOIs
Publication statusPublished - 2002

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Radon
radon
Eigenvalues and eigenfunctions
Optical systems
optical communication
Fourier transforms
eigenvectors
generators

Cite this

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title = "Finite-mode analysis by means of intensity information in fractional optical systems",
abstract = "It is shown how a coherent optical signal that contains only a finite number of Hermite-Gauss modes, can be reconstructed from the knowledge of its Radon-Wigner transform -- associated with the intensity distribution in a fractional Fourier transform optical system -- at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions.",
author = "T. Alieva and M.J. Bastiaans",
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Finite-mode analysis by means of intensity information in fractional optical systems. / Alieva, T.; Bastiaans, M.J.

In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 19, No. 3, 2002, p. 481-484.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Finite-mode analysis by means of intensity information in fractional optical systems

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2002

Y1 - 2002

N2 - It is shown how a coherent optical signal that contains only a finite number of Hermite-Gauss modes, can be reconstructed from the knowledge of its Radon-Wigner transform -- associated with the intensity distribution in a fractional Fourier transform optical system -- at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions.

AB - It is shown how a coherent optical signal that contains only a finite number of Hermite-Gauss modes, can be reconstructed from the knowledge of its Radon-Wigner transform -- associated with the intensity distribution in a fractional Fourier transform optical system -- at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions.

U2 - 10.1364/JOSAA.19.000481

DO - 10.1364/JOSAA.19.000481

M3 - Article

VL - 19

SP - 481

EP - 484

JO - Journal of the Optical Society of America A, Optics, Image Science and Vision

JF - Journal of the Optical Society of America A, Optics, Image Science and Vision

SN - 1084-7529

IS - 3

ER -