Angular diffraction

被引:173
作者
Jack, B. [1 ]
Padgett, M. J. [1 ]
Franke-Arnold, S. [1 ]
机构
[1] Univ Glasgow, Dept Phys & Astron, SUPA, Glasgow G12 8QQ, Lanark, Scotland
关键词
D O I
10.1088/1367-2630/10/10/103013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Angle and angular momentum are linked by a Fourier transformation. A restriction of the angular range within an optical beam profile therefore generates orbital angular momentum (OAM) sidebands on the transmitted light. We interpret this phenomenon as angular diffraction: a mask that blocks light within one or several angular ranges is the angular analogue of a single slit or a diffraction grating, respectively. In the OAM spectra of light transmitted through angular masks we observe the typical sinc(2) envelope known from single slit diffraction, and in particular the suppression of OAM sidebands. This is the angular analogy to missing orders observed for a linear diffraction grating.
引用
收藏
页数:8
相关论文
共 17 条
[1]   The orbital angular momentum of light [J].
Allen, L ;
Padgett, MJ ;
Babiker, M .
PROGRESS IN OPTICS, VOL XXXIX, 1999, 39 :291-372
[2]   The Poynting vector in Laguerre-Gaussian beams and the interpretation of their angular momentum density [J].
Allen, L ;
Padgett, MJ .
OPTICS COMMUNICATIONS, 2000, 184 (1-4) :67-71
[3]   Quantized rotation of atoms from photons with orbital angular momentum [J].
Andersen, M. F. ;
Ryu, C. ;
Clade, Pierre ;
Natarajan, Vasant ;
Vaziri, A. ;
Helmerson, K. ;
Phillips, W. D. .
PHYSICAL REVIEW LETTERS, 2006, 97 (17)
[4]   Uncertainty principle for angular position and angular momentum [J].
Franke-Arnold, S ;
Barnett, SM ;
Yao, E ;
Leach, J ;
Courtial, J ;
Padgett, M .
NEW JOURNAL OF PHYSICS, 2004, 6 :1-8
[5]   Advances in optical angular momentum [J].
Franke-Arnold, Sonja ;
Allen, Les ;
Padgett, Miles .
LASER & PHOTONICS REVIEWS, 2008, 2 (04) :299-313
[6]   Free-space information transfer using light beams carrying orbital angular momentum [J].
Gibson, G ;
Courtial, J ;
Padgett, MJ ;
Vasnetsov, M ;
Pas'ko, V ;
Barnett, SM ;
Franke-Arnold, S .
OPTICS EXPRESS, 2004, 12 (22) :5448-5456
[7]   Optimal phase steps of multi-level spiral phase plates [J].
Guo, Cheng-Shan ;
Xue, Dong-Mei ;
Han, Yu-Jing ;
Ding, Hanping .
OPTICS COMMUNICATIONS, 2006, 268 (02) :235-239
[8]   Diffraction by circular optical lattices [J].
Haroutyunyan, HL ;
Nienhuis, G .
PHYSICAL REVIEW A, 2004, 70 (06) :063408-1
[9]   DIRECT OBSERVATION OF TRANSFER OF ANGULAR-MOMENTUM TO ABSORPTIVE PARTICLES FROM A LASER-BEAM WITH A PHASE SINGULARITY [J].
HE, H ;
FRIESE, MEJ ;
HECKENBERG, NR ;
RUBINSZTEINDUNLOP, H .
PHYSICAL REVIEW LETTERS, 1995, 75 (05) :826-829
[10]  
Hecht E., 2015, Optics