Spontaneous generation of singularities in paraxial optical fields

被引:5
|
作者
Aiello, Andrea [1 ]
机构
[1] Max Planck Inst Sci Light, Gunther Scharowsky Str 1 Bldg 24, D-91058 Erlangen, Germany
关键词
19;
D O I
10.1364/OL.41.001668
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In nonrelativistic quantum mechanics, the spontaneous generation of singularities in smooth and finite wave functions is a well understood phenomenon also occurring for free particles. We use the familiar analogy between the two-dimensional Schrodinger equation and the optical paraxial wave equation to define a new class of square-integrable paraxial optical fields that develop a spatial singularity in the focal point of a weakly focusing thin lens. These fields are characterized by a single real parameter whose value determines the nature of the singularity. This novel field enhancement mechanism may stimulate fruitful research for diverse technological and scientific applications. (C) 2016 Optical Society of America
引用
收藏
页码:1668 / 1671
页数:4
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