Universal description of geometric phases in higher-order optical modes bearing orbital angular momentum

被引:15
作者
Habraken, Steven J. M. [1 ]
Nienhuis, Gerard [1 ]
机构
[1] Leiden Univ, Leiden Inst Phys, NL-2300 RA Leiden, Netherlands
关键词
PARAXIAL WAVE OPTICS; LIGHT-BEAMS; TRANSFORMATIONS; EQUIVALENT;
D O I
10.1364/OL.35.003535
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study geometric phases that arise from (cyclic) transformations of the transverse spatial structure of paraxial optical modes. Our approach involves bosonic ladder operators that, in the spirit of the quantum-mechanical harmonic oscillator, generate sets of transverse optical modes. It applies to modes of all orders in a very natural way and provides a universal geometric interpretation of the phase shifts acquired by nonastigmatic modes under typical experimental conditions. (C) 2010 Optical Society of America
引用
收藏
页码:3535 / 3537
页数:3
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