Wigner representation of Laguerre-Gaussian beams

被引：90

作者：

Simon, R ^{[1
]}

Agarwal, GS

机构：

[1] Inst Math Sci, Tharamani 600113, Chennai, India

[2] Phys Res Lab, Ahmedabad 380009, Gujarat, India

来源：

OPTICS LETTERS | 2000年 / 25卷 / 18期

关键词：

D O I：

10.1364/OL.25.001313

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A phase-space description of the Laguerre-Gaussian modes is presented that points out the connection between these modes and the Hermite-Gaussian modes. we exploit the underlying phase-space symmetries to derive a closed-form expression for the Wigner distribution function of Laguerre-Gaussian modes. This expression is as compact as the one for the Hermite-Gaussian modes. (C) 2000 Optical Society of America.

引用

收藏

页码：1313 / 1315

页数：3

相关论文

共 23 条

[1] Vortex states for the quantized radiation field [J].

Agarwal, GS ;

Puri, RR ;

Singh, RP .

PHYSICAL REVIEW A, 1997, 56 (05) :4207-4215

[2] The orbital angular momentum of light [J].

Allen, L ;

Padgett, MJ ;

Babiker, M .

PROGRESS IN OPTICS, VOL XXXIX, 1999, 39 :291-372

[3]

BASTIAANS MJ, 1979, J OPT SOC AM, V69, P1710, DOI 10.1364/JOSA.69.001710

[4] WIGNER DISTRIBUTION FUNCTION APPLIED TO OPTICAL SIGNALS AND SYSTEMS [J].

BASTIAANS, MJ .

OPTICS COMMUNICATIONS, 1978, 25 (01) :26-30

[5]

BEIGERSBERGEN MW, 1993, OPT COMMUN, V96, P123

[6] Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum [J].

Courtial, J ;

Dholakia, K ;

Robertson, DA ;

Allen, L ;

Padgett, MJ .

PHYSICAL REVIEW LETTERS, 1998, 80 (15) :3217-3219

[7] ANALOGIES BETWEEN 2 OPTICAL-SYSTEMS (PHOTON-BEAM SPLITTERS AND LASER-BEAMS) AND 2 QUANTUM-SYSTEMS (THE 2-DIMENSIONAL OSCILLATOR AND THE 2-DIMENSIONAL HYDROGEN-ATOM) [J].

DANAKAS, S ;

ARAVIND, PK .

PHYSICAL REVIEW A, 1992, 45 (03) :1973-1977

[8] The Wigner distribution function in optics and optoelectronics [J].

Dragoman, D .

PROGRESS IN OPTICS, VOL. 37, 1997, 37 :1-56

[9] REPRESENTATION OF LAGUERRE-GAUSSIAN MODES BY THE WIGNER DISTRIBUTION FUNCTION [J].

GASE, R .

IEEE JOURNAL OF QUANTUM ELECTRONICS, 1995, 31 (10) :1811-1818

[10] FORMAL QUANTUM THEORY OF LIGHT-RAYS [J].

GLOGE, D ;

MARCUSE, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1969, 59 (12) :1629-&