Probing arbitrary Laguerre-Gaussian beams and pairs through a tilted biconvex lens

Laguerre-Gaussian (LG) laser beams carrying orbital angular momentum are attractive vortex sources for a variety of photonic applications. In this work, we investigate the probing method based on a tilted biconvex lens for LG beams and pairs. We theoretically derive the formulation of the general as...

Full description

Saved in:
Bibliographic Details
Published in:Journal of optics (2010) 2021-02, Vol.23 (2), p.25002
Main Authors: Liu, Ping, Cao, Yaqin, Lu, Zehuang, Lin, Guoping
Format: Article
Language:English
Subjects:
a tilted biconvex lens
Laguerre-Gaussian beams
topological charge
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Laguerre-Gaussian (LG) laser beams carrying orbital angular momentum are attractive vortex sources for a variety of photonic applications. In this work, we investigate the probing method based on a tilted biconvex lens for LG beams and pairs. We theoretically derive the formulation of the general astigmatic transformation of an LG vortex beam with non-zero radial index p and topological charge l after passing through a tilted biconvex lens. It is found that at a certain position after the focus of the lens, the field intensity of the LG beam is converted into a  ( p+1) by ( p+|l|+1) slanted matrix of bright spots. The indices of p and l are obtained by examin-ing the converted intensity patterns. Theoretical calculations are in good agreement with experiments using LG beams with p up to 2 and l up to 34 emitted from a nonplanar ring vortex oscillator. Furthermore, we also found the method can also be used to estimate the mode comp-onents, the ratio of beam intensity and phase relationships of any two superposed LG beams.
ISSN:2040-8978
2040-8986
DOI:10.1088/2040-8986/abd1cd