Evolution of the vortex part of the orbital angular momentum in separable first-order optical systems

M.J. Bastiaans, T. Alieva

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Abstract

We analyze the evolution of the vortex part of the orbital angular momentum during its propagation through separable first-order optical systems. We obtain that the evolution of the vortex part depends only upon the parameters ax, ay, bx, and by of the ray transformation matrix, and that isotropic systems with the same ratio b/a produce the same change of the vortex part of the orbital angular momentum. Finally, it is shown that when light propagates through an optical fiber with a quadratic refractive index profile, the vortex part of the orbital angular momentum cannot change its sign more than four times per period.
Original languageEnglish
Title of host publicationProceedings of the 15th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) 25 - 26 November 2004, Veldhoven, the Netherlands
Place of PublicationUtrecht, the Netherlands
PublisherSTW Technology Foundation
Pages209-214
ISBN (Print)90-73461-43-X
Publication statusPublished - 2004
Event2004 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) - Veldhoven, Netherlands
Duration: 25 Nov 200426 Nov 2004

Conference

Conference2004 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004)
Abbreviated titleProRISC 2004
Country/TerritoryNetherlands
CityVeldhoven
Period25/11/0426/11/04

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