Nondiffracting vortex beams with continuous orbital angular momentum order dependence

被引:83
作者
Gutierrez-Vega, Julio C. [1 ]
Lopez-Mariscal, Carlos [1 ]
机构
[1] Technol Monterrey, Photon & Math Opt Grp, Monterrey 64849, Mexico
来源
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS | 2008年 / 10卷 / 01期
关键词
nondiffracting beams; Bessel beams; optical vortices; fractional calculus;
D O I
10.1088/1464-4258/10/01/015009
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We introduce a new class of nondiffracting fractional vortex beams that connect Bessel beams of successive order in a smooth transition. The new fractional-order beams preserve the same nondiffracting feature of Bessel beams of integer order, and their orbital angular momentum per photon can take any value in a continuous range. The propagation of the more physically realizable fractional-order Bessel-Gauss beams, i.e. fractional Bessel beams apodized by a Gaussian transmittance, through general ABCD optical systems is studied in detail and is complemented by the experimental generation of several instances of fractional beams which in turn confirms our theoretical predictions.
引用
收藏
页数:8
相关论文
共 35 条
[1]  
Abramowitz M., 1964, HDB MATH FUNCTIONS F, V55
[2]  
ALLEN L, 2003, ORBITAL ANGULAR MOME
[3]  
[Anonymous], 1999, Natural Focusing and Fine Structure of Light
[4]   Parametric down-conversion for light beams possessing orbital angular momentum [J].
Arlt, J ;
Dholakia, K ;
Allen, L ;
Padgett, MJ .
PHYSICAL REVIEW A, 1999, 59 (05) :3950-3952
[5]   Synthesis and analysis of optical vortices with fractional topological charges [J].
Basistiy, IV ;
Pasko, VA ;
Slyusar, VV ;
Soskin, MS ;
Vasnetsov, MV .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (05) :S166-S169
[6]   Optical vortices evolving from helicoidal integer and fractional phase steps [J].
Berry, MV .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (02) :259-268
[7]   Nondiffracting optical beams: physical properties, experiments, and applications [J].
Bouchal, Z .
CZECHOSLOVAK JOURNAL OF PHYSICS, 2003, 53 (07) :537-578
[8]   The connection of singular and nondiffracting optics [J].
Bouchal, Z ;
Courtial, J .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (05) :S184-S188
[9]   Vortex array carried by a pseudo-nondiffracting beam [J].
Bouchal, Z .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2004, 21 (09) :1694-1702
[10]   Optical vortices in a Laguerre-Gaussian LG01 beam [J].
Flossmann, F ;
Schwarz, UT ;
Maier, M .
JOURNAL OF MODERN OPTICS, 2005, 52 (07) :1009-1017