Enforcing Energy Balance in Coherently Superimposed Optical Vortices

Jaime Cisternas; Jaime A. Anguita; Gustavo Funes

doi:10.1109/JPHOT.2018.2810446

Enforcing Energy Balance in Coherently Superimposed Optical Vortices

Jaime Cisternas^*, Jaime A. Anguita, Gustavo Funes

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The generation of optical beams with multiple, mutually coherent orbital-angular-momentum (OAM) modes using phase gratings is analyzed from the perspective of energy distribution and radial mode composition. We show that phase gratings designed with equally weighted Laguerre-Gauss (LG) modes will generate beams with uneven energy distribution among OAM components. This unwanted outcome cannot be corrected by adjusting the width of the illuminating beam. We propose a way to design phase gratings that will produce a uniform energy distribution among the constituent OAM states after illumination while minimizing the content of high radial modes. This method is based on a generalized definition for the LG modes that take advantage of the freedom to select their radial scales.

Original language	English
Article number	7901712
Journal	IEEE Photonics Journal
Volume	10
Issue number	2
DOIs	https://doi.org/10.1109/JPHOT.2018.2810446
State	Published - Apr 2018

Bibliographical note

Funding Information:
Manuscript received December 20, 2017; revised February 21, 2018; accepted February 25, 2018. Date of publication February 28, 2018; date of current version March 23, 2018. This work was supported by the Chilean Science and Technology Commission (CONICYT) under Grant FR-1160887. Corresponding author: Jaime Cisternas (e-mail: jecisternas@miuandes.cl).

Publisher Copyright:
© 2009-2012 IEEE.

Keywords

Diffraction gratings
coherent communications
free-space optical communications
optical vortices

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10.1109/JPHOT.2018.2810446

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title = "Enforcing Energy Balance in Coherently Superimposed Optical Vortices",

abstract = "The generation of optical beams with multiple, mutually coherent orbital-angular-momentum (OAM) modes using phase gratings is analyzed from the perspective of energy distribution and radial mode composition. We show that phase gratings designed with equally weighted Laguerre-Gauss (LG) modes will generate beams with uneven energy distribution among OAM components. This unwanted outcome cannot be corrected by adjusting the width of the illuminating beam. We propose a way to design phase gratings that will produce a uniform energy distribution among the constituent OAM states after illumination while minimizing the content of high radial modes. This method is based on a generalized definition for the LG modes that take advantage of the freedom to select their radial scales.",

keywords = "Diffraction gratings, coherent communications, free-space optical communications, optical vortices, coherent communications, Diffraction gratings, free-space optical communications, Optical vortices",

author = "Jaime Cisternas and Anguita, {Jaime A.} and Gustavo Funes",

note = "Funding Information: Manuscript received December 20, 2017; revised February 21, 2018; accepted February 25, 2018. Date of publication February 28, 2018; date of current version March 23, 2018. This work was supported by the Chilean Science and Technology Commission (CONICYT) under Grant FR-1160887. Corresponding author: Jaime Cisternas (e-mail: jecisternas@miuandes.cl). Publisher Copyright: {\textcopyright} 2009-2012 IEEE.",

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N2 - The generation of optical beams with multiple, mutually coherent orbital-angular-momentum (OAM) modes using phase gratings is analyzed from the perspective of energy distribution and radial mode composition. We show that phase gratings designed with equally weighted Laguerre-Gauss (LG) modes will generate beams with uneven energy distribution among OAM components. This unwanted outcome cannot be corrected by adjusting the width of the illuminating beam. We propose a way to design phase gratings that will produce a uniform energy distribution among the constituent OAM states after illumination while minimizing the content of high radial modes. This method is based on a generalized definition for the LG modes that take advantage of the freedom to select their radial scales.

AB - The generation of optical beams with multiple, mutually coherent orbital-angular-momentum (OAM) modes using phase gratings is analyzed from the perspective of energy distribution and radial mode composition. We show that phase gratings designed with equally weighted Laguerre-Gauss (LG) modes will generate beams with uneven energy distribution among OAM components. This unwanted outcome cannot be corrected by adjusting the width of the illuminating beam. We propose a way to design phase gratings that will produce a uniform energy distribution among the constituent OAM states after illumination while minimizing the content of high radial modes. This method is based on a generalized definition for the LG modes that take advantage of the freedom to select their radial scales.

KW - Diffraction gratings

KW - coherent communications

KW - free-space optical communications

KW - optical vortices

KW - coherent communications

KW - Diffraction gratings

KW - free-space optical communications

KW - Optical vortices

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Enforcing Energy Balance in Coherently Superimposed Optical Vortices

Abstract

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Keywords

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