Characterizing coherence vortices through geometry

Cleberson R. Alves; Alcenísio J. Jesus-Silva; Eduardo J. S. Fonseca

doi:10.1364/OL.40.002747

Optics Letters
Vol. 40,
Issue 12,
pp. 2747-2750
(2015)
•https://doi.org/10.1364/OL.40.002747

Characterizing coherence vortices through geometry

Cleberson R. Alves, Alcenísio J. Jesus-Silva, and Eduardo J. S. Fonseca

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Cleberson R. Alves, Alcenísio J. Jesus-Silva, and Eduardo J. S. Fonseca, "Characterizing coherence vortices through geometry," Opt. Lett. 40, 2747-2750 (2015)

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Related Topics
Table of Contents Category
- Coherence and Statistical 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
- Speckle (030.6140)
- Statistical optics (030.6600)
- Optical vortices (050.4865)

About this Article
History
- Original Manuscript: April 8, 2015
- Revised Manuscript: May 15, 2015
- Manuscript Accepted: May 19, 2015
- Published: June 5, 2015

Abstract

We produce coherence vortices experimentally and numerically due to the orbital angular momentum of light beams and study the dependence of their bright ring area and dark region on their different orders. This is a linear dependence with a slope proportional to the bright ring area or dark area. We show that it is possible to estimate any order of coherence vortices, including fractional orders, just by calculating the bright ring area or dark area of the vortices for some specific parameters of the incident beam.

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	$m_{e}$	$A_{r}$	$A_{d}$
$m_{1} = 2$ , $m_{2} = 1$	1	858	123
$m_{1} = 1$ , $m_{2} = - 1$	2	2083	490
$m_{1} = 1$ , $m_{2} = - 1.5$	2.5	2695	674
$m_{1} = 2$ , $m_{2} = - 1$	3	3308	858
$m_{1} = 2.5$ , $m_{2} = - 1.5$	4	4533	1225
$m_{1} = 2$ , $m_{2} = - 2.5$	4.5	5145	1409
$m_{1} = 2.5$ , $m_{2} = - 2.5$	5	5758	1593
$m_{1} = 3$ , $m_{2} = - 3$	6	6983	1960
$m_{1} = 3$ , $m_{2} = - 4$	7	8208	2328
$m_{1} = 4$ , $m_{2} = - 4$	8	9433	2695
$m_{1} = 5$ , $m_{2} = - 4$	9	10,658	3063
$m_{1} = 5$ , $m_{2} = - 5$	10	11,883	3430

	$m_{e}$	$A_{r}$
$m_{1} = 1$ , $m_{2} = 0$	1	843
$m_{1} = 2$ , $m_{2} = 1$	1	858
$m_{1} = 0$ , $m_{2} = - 1$	1	840
$m_{1} = 3$ , $m_{2} = 2$	1	854
$m_{1} = 4$ , $m_{2} = 3$	1	850
$m_{1} = 5$ , $m_{2} = 4$	1	857
$m_{1} = 6$ , $m_{2} = 5$	1	858
$m_{1} = 7$ , $m_{2} = 6$	1	861
$m_{1} = 8$ , $m_{2} = 7$	1	844
$m_{1} = 9$ , $m_{2} = 8$	1	847

	$m_{e}$	$A_{r}$	$A_{d}$
$m_{1} = 2$ , $m_{2} = 1$	1	858	123
$m_{1} = 1$ , $m_{2} = - 1$	2	2083	490
$m_{1} = 1$ , $m_{2} = - 1.5$	2.5	2695	674
$m_{1} = 2$ , $m_{2} = - 1$	3	3308	858
$m_{1} = 2.5$ , $m_{2} = - 1.5$	4	4533	1225
$m_{1} = 2$ , $m_{2} = - 2.5$	4.5	5145	1409
$m_{1} = 2.5$ , $m_{2} = - 2.5$	5	5758	1593
$m_{1} = 3$ , $m_{2} = - 3$	6	6983	1960
$m_{1} = 3$ , $m_{2} = - 4$	7	8208	2328
$m_{1} = 4$ , $m_{2} = - 4$	8	9433	2695
$m_{1} = 5$ , $m_{2} = - 4$	9	10,658	3063
$m_{1} = 5$ , $m_{2} = - 5$	10	11,883	3430

	$m_{e}$	$A_{r}$
$m_{1} = 1$ , $m_{2} = 0$	1	843
$m_{1} = 2$ , $m_{2} = 1$	1	858
$m_{1} = 0$ , $m_{2} = - 1$	1	840
$m_{1} = 3$ , $m_{2} = 2$	1	854
$m_{1} = 4$ , $m_{2} = 3$	1	850
$m_{1} = 5$ , $m_{2} = 4$	1	857
$m_{1} = 6$ , $m_{2} = 5$	1	858
$m_{1} = 7$ , $m_{2} = 6$	1	861
$m_{1} = 8$ , $m_{2} = 7$	1	844
$m_{1} = 9$ , $m_{2} = 8$	1	847

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Equations (4)

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