FREE-SPACE AZIMUTHAL PARAXIAL WAVE-EQUATION - THE AZIMUTHAL BESSEL-GAUSS BEAM SOLUTION

被引：154

作者：

JORDAN, RH

HALL, DG

机构：

[1] The Institute of Optics, University of Rochester, Rochester, NY

来源：

OPTICS LETTERS | 1994年 / 19卷 / 07期

关键词：

Azimuthal properties - Bassel-Gauss beam solution - Concentric circle grating surface emitting semiconductor lasers - Paraxial wave equations;

D O I：

10.1364/OL.19.000427

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We develop a paraxial wave equation for an azimuthally polarized field propagating in free space. The equation's beamlike solution is composed of a plane-wave propagation factor multiplied by a Bessel function of the first kind, of order one, and a Gaussian factor, which describe the transverse characteristics of the beam. We compare the propagation characteristics of the azimuthal Bessel-Gauss beam solution with a solution of the more familiar scalar paraxial wave equation, the linearly polarized Bessel-Gauss beam.

引用

页码：427 / 429

页数：3

共 9 条

[1] ABRAMOWITZ M, 1965, HDB MATH FUNCTIONS, P378
[2] Arfken G. B., 1985, MATH METHODS PHYSICI, P585
[3] DIFFRACTION-FREE BEAMS
DURNIN, J
MICELI, JJ
EBERLY, JH
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (15) : 1499 - 1501
[4] CIRCULARLY SYMMETRICAL OPERATION OF A CONCENTRIC-CIRCLE-GRATING, SURFACE-EMITTING, ALGAAS/GAAS QUANTUM-WELL SEMICONDUCTOR-LASER
ERDOGAN, T
KING, O
WICKS, GW
HALL, DG
ANDERSON, EH
ROOKS, MJ
[J]. APPLIED PHYSICS LETTERS, 1992, 60 (16) : 1921 - 1923
[5] BESSEL-GAUSS BEAMS
GORI, F
GUATTARI, G
PADOVANI, C
[J]. OPTICS COMMUNICATIONS, 1987, 64 (06) : 491 - 495
[6] GRADSHTEYN IS, 1980, TABLE INTEGRALS SERI, P710
[7] THE SPOT OF ARAGO - NEW RELEVANCE FOR AN OLD PHENOMENON
HARVEY, JE
FORGHAM, JL
[J]. AMERICAN JOURNAL OF PHYSICS, 1984, 52 (03) : 243 - 247
[8] Siegman A.E., 1986, LASERS, P1283
[9] YARIV A, 1985, OPTICAL ELECTRONICS, P57

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