Model for an anomalous hollow beam and its paraxial propagation

被引：89

作者：

Cai, Yangjian ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Opt Informat & Photon, Max Planck Res Ctr, D-91058 Erlangen, Germany

来源：

OPTICS LETTERS | 2007年 / 32卷 / 21期

关键词：

D O I：

10.1364/OL.32.003179

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A theoretical model is proposed to approximately describe an anomalous hollow beam of elliptical symmetry with an elliptical solid core, which was observed in experiment recently [Phys. Rev. Lett. 94, 134802 (2005)]. Expressions for the propagation factor and effective beam spot size for the anomalous hollow beam are derived. Based on the Collins integral formula, an analytical propagation formula for the anomalous hollow beam passing through a paraxial ABCD optical system is derived. The propagation properties in free space are studied graphically. (c) 2007 Optical Society of America.

引用

页码：3179 / 3181

页数：3

共 18 条

[1] Generation of high-order Bessel beams by use of an axicon [J].

Arlt, J ;

Dholakia, K .

OPTICS COMMUNICATIONS, 2000, 177 (1-6) :297-301

[2] GAUSSIAN LIGHT BEAMS WITH GENERAL ASTIGMATISM [J].

ARNAUD, JA ;

KOGELNIK, H .

APPLIED OPTICS, 1969, 8 (08) :1687-&

[3] Propagation of various dark hollow beams in a turbulent atmosphere [J].

Cai, YJ ;

He, SL .

OPTICS EXPRESS, 2006, 14 (04) :1353-1367

[4] Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems [J].

Cai, YJ ;

Lin, Q .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2004, 21 (06) :1058-1065

[5] Hollow Gaussian beams and their propagation properties [J].

Cai, YJ ;

Lu, XH ;

Lin, Q .

OPTICS LETTERS, 2003, 28 (13) :1084-1086

[6] SPOT SIZE AND DIVERGENCE FOR HERMITE GAUSSIAN BEAMS OF ANY ORDER [J].

CARTER, WH .

APPLIED OPTICS, 1980, 19 (07) :1027-1029

[7] LENS-SYSTEM DIFFRACTION INTEGRAL WRITTEN IN TERMS OF MATRIX OPTICS [J].

COLLINS, SA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1970, 60 (09) :1168-&

[8] BESSEL-GAUSS BEAMS [J].

GORI, F ;

GUATTARI, G ;

PADOVANI, C .

OPTICS COMMUNICATIONS, 1987, 64 (06) :491-495

[9] Alternative formulation for invariant optical fields:: Mathieu beams [J].

Gutiérrez-Vega, JC ;

Iturbe-Castillo, MD ;

Chávez-Cerda, S .

OPTICS LETTERS, 2000, 25 (20) :1493-1495

[10] GENERATION OF OPTICAL-PHASE SINGULARITIES BY COMPUTER-GENERATED HOLOGRAMS [J].

HECKENBERG, NR ;

MCDUFF, R ;

SMITH, CP ;

WHITE, AG .

OPTICS LETTERS, 1992, 17 (03) :221-223

← 1 2 →