Generalized Gaussian beams in terms of Jones vectors

被引:27
作者
Gutierrez-Cuevas, R. [1 ,2 ]
Dennis, M. R. [3 ]
Alonso, M. A. [1 ,2 ,4 ]
机构
[1] Univ Rochester, Inst Opt, Rochester, NY 14627 USA
[2] Univ Rochester, Ctr Coherence & Quantum Opt, Rochester, NY 14627 USA
[3] Univ Birmingham, Sch Phys & Astron, Birmingham B15 2TT, W Midlands, England
[4] Aix Marseille Univ, CNRS, Cent Marseille, Inst Fresnel,UMR 7249, F-13397 Marseille 20, France
基金
美国国家科学基金会;
关键词
Gaussian beams; Poincare sphere; Jones vectors; Majorana representation; structured light; Hamiltonian optics; ORBITAL ANGULAR-MOMENTUM; POINCARE-SPHERE; LIGHT-BEAMS; LASER-BEAMS; HERMITE; TRANSFORMATIONS; REPRESENTATION; PHASE;
D O I
10.1088/2040-8986/ab2c52
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Based on the operator formalism that arises from the underlying SU(2) group structure, a formula is derived that provides a description of the generalized Hermite-Laguerre-Gauss modes in terms of a Jones vector, traditionally used to describe polarization. This identity highlights the relation between these generalized Gaussian beams, the elliptical ray families, and the Majorana constellations used to represent structured-Gaussian beams. Moreover, it provides a computational advantage over the standard formula in terms of Wigner d functions.
引用
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页数:5
相关论文
共 36 条
[1]   Generalized Gaussian beams [J].
Abramochkin, EG ;
Volostnikov, VG .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (05) :S157-S161
[2]   Mode mapping in paraxial lossless optics [J].
Alieva, T ;
Bastiaans, MJ .
OPTICS LETTERS, 2005, 30 (12) :1461-1463
[3]   Orthonormal mode sets for the two-dimensional fractional Fourier transformation [J].
Alieva, Tatiana ;
Bastiaans, Martin J. .
OPTICS LETTERS, 2007, 32 (10) :1226-1228
[4]   ORBITAL ANGULAR-MOMENTUM OF LIGHT AND THE TRANSFORMATION OF LAGUERRE-GAUSSIAN LASER MODES [J].
ALLEN, L ;
BEIJERSBERGEN, MW ;
SPREEUW, RJC ;
WOERDMAN, JP .
PHYSICAL REVIEW A, 1992, 45 (11) :8185-8189
[5]   Ray-optical Poincare sphere for structured Gaussian beams [J].
Alonso, Miguel A. ;
Dennis, Mark R. .
OPTICA, 2017, 4 (04) :476-486
[6]  
Andrews DL, 2008, STRUCTURED LIGHT AND ITS APPLICATIONS: AN INTRODUCTION TO PHASE-STRUCTURED BEAMS AND NANOSCALE OPTICAL FORCES, P1
[7]  
[Anonymous], 2011, MODERN QUANTUM MECH
[8]  
[Anonymous], 2012, ANGULAR MOMENTUM LIG
[9]   ORBITS OF ROTATION GROUP ON SPIN STATES [J].
BACRY, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (10) :1686-1688
[10]  
Bengtsson I., 2017, GEOMETRY QUANTUM STA