Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions

被引：4

作者：

Mahillo-Isla, R. ^{[1
]}

Gonzalez-Morales, M. J. ^{[1
]}

Dehesa-Martinez, C. ^{[1
]}

机构：

[1] Univ Valladolid, E-47011 Valladolid, Spain

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2011年 / 28卷 / 06期

关键词：

PARAXIAL APPROXIMATION; GAUSSIAN-BEAM; PROPAGATION;

D O I：

10.1364/JOSAA.28.001003

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The slowly varying envelope approximation is applied to the radiation problems of the Helmholtz equation with a planar single-layer and dipolar sources. The analyses of such problems provide procedures to recover solutions of the Helmholtz equation based on the evaluation of solutions of the parabolic wave equation at a given plane. Furthermore, the conditions that must be fulfilled to apply each procedure are also discussed. The relations to previous work are given as well. (C) 2011 Optical Society of America

引用

页码：1003 / 1006

页数：4

共 15 条

[1] GAUSSIAN-BEAM PROPAGATION BEYOND THE PARAXIAL APPROXIMATION [J].

AGRAWAL, GP ;

PATTANAYAK, DN .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1979, 69 (04) :575-578

[2] FREE-SPACE WAVE-PROPAGATION BEYOND THE PARAXIAL APPROXIMATION [J].

AGRAWAL, GP ;

LAX, M .

PHYSICAL REVIEW A, 1983, 27 (03) :1693-1695

[3] Nonparaxial Bessel-Gauss beams [J].

Borghi, R ;

Santarsiero, M ;

Porras, MA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (07) :1618-1626

[4] Corrections to the paraxial approximation of an arbitrary free-propagation beam [J].

Cao, QC ;

Deng, XM .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (05) :1144-1148

[5] FROM GAUSSIAN-BEAM TO COMPLEX-SOURCE-POINT SPHERICAL WAVE [J].

COUTURE, M ;

BELANGER, PA .

PHYSICAL REVIEW A, 1981, 24 (01) :355-359

[6] THEORY OF ELECTROMAGNETIC BEAMS [J].

DAVIS, LW .

PHYSICAL REVIEW A, 1979, 19 (03) :1177-1179

[7] MAXWELL TO PARAXIAL WAVE OPTICS [J].

LAX, M ;

LOUISELL, WH ;

MCKNIGHT, WB .

PHYSICAL REVIEW A, 1975, 11 (04) :1365-1370

[8]

NEMOTO N, 1990, APPL OPTICS, V29, P1940

[9] Nonparaxial corrections for the fundamental Gaussian beam [J].

Seshadri, SR .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (10) :2134-2141

[10] Beam modes beyond the paraxial approximation: A scalar treatment [J].

Sheppard, CJR ;

Saghafi, S .

PHYSICAL REVIEW A, 1998, 57 (04) :2971-2979

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