Generalized Helmholtz-Gauss beam and its transformation by paraxial optical systems

被引：34
作者：
Guizar-Sicairos, Manuel
Gutiérrez-Vega, Julio C.
机构：
[1] Univ Rochester, Inst Opt, Rochester, NY 14627 USA
[2] Tecnol Monterrey, Photon & Math Opt Grp, Monterrey 64849, Mexico
来源：
OPTICS LETTERS | 2006年 / 31卷 / 19期
关键词：
D O I：
10.1364/OL.31.002912
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We introduce the generalized Helmholtz-Gauss (gHzG) beam and analyze its propagation through optical systems described by ABCD matrices with real and complex elements. The transverse mathematical structure of the gHzG beam is form invariant under paraxial transformations and reduces to those of ordinary HzG and modified HzG beams as special cases. We derive a closed-form expression for the fractional Fourier transform of gHzG beams. (c) 2006 Optical Society of America.
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收藏
页码：2912 / 2914
页数：3
相关论文
共 13 条
[1]   Collins formula and propagation of Bessel-modulated Gaussian light beams through an ABCD optical system [J].
Belafhal, A ;
Dalil-Essakali, L .
OPTICS COMMUNICATIONS, 2000, 177 (1-6) :181-188
[2]   Nondiffracting optical beams: physical properties, experiments, and applications [J].
Bouchal, Z .
CZECHOSLOVAK JOURNAL OF PHYSICS, 2003, 53 (07) :537-578
[3]   Sinusoidal-Gaussian beams in complex optical systems [J].
Casperson, LW ;
Hall, DG ;
Tovar, AA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (12) :3341-3348
[4]   BESSEL-GAUSS BEAMS [J].
GORI, F ;
GUATTARI, G ;
PADOVANI, C .
OPTICS COMMUNICATIONS, 1987, 64 (06) :491-495
[5]   Propagation of Helmholtz-Gauss beams in absorbing and gain media [J].
Guizar-Sicairos, Manuel ;
Gutierrez-Vega, Julio C. .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2006, 23 (08) :1994-2001
[6]   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
[7]   Helmholtz-Gauss waves [J].
Gutiérrez-Vega, JC ;
Bandres, MA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2005, 22 (02) :289-298
[8]   Observation of the experimental propagation properties of Helmholtz-Gauss beams [J].
Lopez-Mariscal, Carlos ;
Bandres, Miguel A. ;
Gutierrez-Vega, Julio C. .
OPTICAL ENGINEERING, 2006, 45 (06)
[9]   FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1. [J].
MENDLOVIC, D ;
OZAKTAS, HM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (09) :1875-1881
[10]   MODIFIED BESSEL NONDIFFRACTING BEAMS [J].
RUSCHIN, S .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (12) :3224-3228
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