Laguerre&#x2013;Gaussian modal q-plates

Mushegh Rafayelyan; Etienne Brasselet

doi:10.1364/OL.42.001966

Optics Letters
Vol. 42,
Issue 10,
pp. 1966-1969
(2017)
•https://doi.org/10.1364/OL.42.001966

Laguerre–Gaussian modal q-plates

Mushegh Rafayelyan and Etienne Brasselet

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Mushegh Rafayelyan and Etienne Brasselet, "Laguerre–Gaussian modal q-plates," Opt. Lett. 42, 1966-1969 (2017)

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Related Topics
Table of Contents Category
- Lasers and Laser Optics
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Optical vortices (050.4865)
- Laser beam shaping (140.3300)

About this Article
History
- Original Manuscript: February 27, 2017
- Revised Manuscript: March 31, 2017
- Manuscript Accepted: April 12, 2017
- Published: May 10, 2017

Abstract

We propose space-variant uniaxial flat optical elements designed to generate pure Laguerre–Gaussian modes with arbitrary azimuthal and radial indices $l$ and $p$ from an incident Gaussian beam. This is done via the combined use of the dynamic and the geometric phases. Optimal design protocol for the mode conversion efficiency is derived, and the corresponding characteristics are given for $- 6 \leq l \leq 6$ and $0 \leq p \leq 5$ . The obtained “modal $q$ -plates” may find many applications whenever the radial degree of freedom of a light field is at play.

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	$\| l \| = 1$	$\| l \| = 2$	$\| l \| = 3$	$\| l \| = 4$	$\| l \| = 5$	$\| l \| = 6$
$p = 0$	0.71	0.58	0.50	0.45	0.41	0.38
$p = 1$	0.44	0.39	0.35	0.33	0.31	0.29
$p = 2$	0.38	0.32	0.29	0.27	0.26	0.25
$p = 3$	0.34	0.29	0.26	0.24	0.23	0.22
$p = 4$	0.32	0.27	0.25	0.23	0.21	0.20
$p = 5$	0.30	0.26	0.24	0.22	0.20	0.19

	$\| l \| = 1$	$\| l \| = 2$	$\| l \| = 3$	$\| l \| = 4$	$\| l \| = 5$	$\| l \| = 6$
$p = 0$	0.68	0.55	0.47	0.42	0.38	0.35
$p = 1$	0.48	0.44	0.40	0.38	0.35	0.34
$p = 2$	0.39	0.38	0.36	0.34	0.33	0.31
$p = 3$	0.33	0.34	0.34	0.31	0.30	0.29
$p = 4$	0.29	0.30	0.30	0.29	0.29	0.28
$p = 5$	0.25	0.27	0.28	0.27	0.27	0.27

	$\| l \| = 1$	$\| l \| = 2$	$\| l \| = 3$	$\| l \| = 4$	$\| l \| = 5$	$\| l \| = 6$
$p = 0$	0.71	0.58	0.50	0.45	0.41	0.38
$p = 1$	0.44	0.39	0.35	0.33	0.31	0.29
$p = 2$	0.38	0.32	0.29	0.27	0.26	0.25
$p = 3$	0.34	0.29	0.26	0.24	0.23	0.22
$p = 4$	0.32	0.27	0.25	0.23	0.21	0.20
$p = 5$	0.30	0.26	0.24	0.22	0.20	0.19

	$\| l \| = 1$	$\| l \| = 2$	$\| l \| = 3$	$\| l \| = 4$	$\| l \| = 5$	$\| l \| = 6$
$p = 0$	0.68	0.55	0.47	0.42	0.38	0.35
$p = 1$	0.48	0.44	0.40	0.38	0.35	0.34
$p = 2$	0.39	0.38	0.36	0.34	0.33	0.31
$p = 3$	0.33	0.34	0.34	0.31	0.30	0.29
$p = 4$	0.29	0.30	0.30	0.29	0.29	0.28
$p = 5$	0.25	0.27	0.28	0.27	0.27	0.27

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