Propagation of a hollow Gaussian beam through a paraxial misaligned optical system

被引:60
作者
Cai, Yangjian
Zhang, Lei
机构
[1] Zhejiang Univ, Joint Res Ctr Photon, Royal Inst Technol, Hangzhou 310058, Peoples R China
[2] Royal Inst Technol, Sch Elect Engn, Div Electromagnet Engn, S-10044 Stockholm, Sweden
[3] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
关键词
hollow Gaussian beam; misaligned optical system; propagation;
D O I
10.1016/j.optcom.2006.03.070
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Based on the generalized diffraction integral formula for treating the propagation of a laser beam through a paraxial misaligned optical system in the cylindrical coordinate system, we obtain an analytical formula for a hollow Gaussian beam passing through a paraxial misaligned optical system. Furthermore, we also obtain the approximate analytical formula for a hollow Gaussian beam passing through a paraxial circularly apertured misaligned optical system by expanding the hard aperture function into a finite sum of complex Gaussian functions. As a numerical example, the propagation properties a hollow Gaussian beam through a misaligned thin lens are studied numerically. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:607 / 615
页数:9
相关论文
共 17 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]   Hollow Gaussian beams and their propagation properties [J].
Cai, YJ ;
Lu, XH ;
Lin, Q .
OPTICS LETTERS, 2003, 28 (13) :1084-1086
[3]   Generalized M2-factor of hollow Gaussian beams through a hard-edge circular aperture [J].
Deng, DM .
PHYSICS LETTERS A, 2005, 341 (1-4) :352-356
[4]   Approximate description for Bessel, Bessel-Gauss, and Gaussian beams with finite aperture [J].
Ding, DS ;
Liu, XJ .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1999, 16 (06) :1286-1293
[5]  
Erdelyi A., 1954, TABLES INTEGRAL TRAN
[6]   Laser spectroscopy of atoms guided by evanescent waves in micron-sized hollow optical fibers [J].
Ito, H ;
Nakata, T ;
Sakaki, K ;
Ohtsu, M ;
Lee, KI ;
Jhe, W .
PHYSICAL REVIEW LETTERS, 1996, 76 (24) :4500-4503
[7]   Novel optical trap of atoms with a doughnut beam [J].
Kuga, T ;
Torii, Y ;
Shiokawa, N ;
Hirano, T ;
Shimizu, Y ;
Sasada, H .
PHYSICAL REVIEW LETTERS, 1997, 78 (25) :4713-4716
[8]   HOLOGRAPHIC NONDIVERGING HOLLOW BEAM [J].
LEE, HS ;
STEWART, BW ;
CHOI, K ;
FENICHEL, H .
PHYSICAL REVIEW A, 1994, 49 (06) :4922-4927
[9]  
Morse P. M., 1953, METHODS THEORETICAL, V1
[10]   ATOMIC MOTION IN LIGHT-BEAMS POSSESSING ORBITAL ANGULAR-MOMENTUM [J].
POWER, WL ;
ALLEN, L ;
BABIKER, M ;
LEMBESSIS, VE .
PHYSICAL REVIEW A, 1995, 52 (01) :479-488