Hermite-Laguerre-Gaussian Vector Modes

Fuente: arXiv
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Autores principales: Medina-Segura, Edgar, Miranda-Culin, Leonardo, Perez-García, Benjamin, Rosales-Guzmán, Carmelo, Cox, Mitchell A.
Formato: Preprint
Publicado: 2024
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author Medina-Segura, Edgar
Miranda-Culin, Leonardo
Perez-García, Benjamin
Rosales-Guzmán, Carmelo
Cox, Mitchell A.
author_facet Medina-Segura, Edgar
Miranda-Culin, Leonardo
Perez-García, Benjamin
Rosales-Guzmán, Carmelo
Cox, Mitchell A.
contents Vector modes are well-defined field distributions with spatially varying polarisation states, rendering them irreducible to the product of a single spatial mode and a single polarisation state. Traditionally, the spatial degree of freedom of vector modes is constructed using two orthogonal modes from the same family. In this letter, we introduce a novel class of vector modes whose spatial degree of freedom is encoded by combining modes from both the Hermite- and Laguerre-Gaussian families. This particular superposition is not arbitrary, and we provide a detailed explanation of the methodology employed to achieve it. Notably, this new class of vector modes, which we term Hybrid Hermite-Laguerre-Gaussian (HHLG) vector modes, gives rise to subsets of modes exhibiting polarisation dependence on propagation due to the difference in mode orders between the constituent Hermite- and Laguerre-Gaussian modes. To the best of our knowledge, this is the first demonstration of vector modes composed of two scalar modes originating from different families. We anticipate diverse applications for HHLG vector modes in fields such as free-space communications, information encryption, optical metrology, and beyond.
format Preprint
id arxiv_https___arxiv_org_abs_2405_08207
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hermite-Laguerre-Gaussian Vector Modes
Medina-Segura, Edgar
Miranda-Culin, Leonardo
Perez-García, Benjamin
Rosales-Guzmán, Carmelo
Cox, Mitchell A.
Optics
Vector modes are well-defined field distributions with spatially varying polarisation states, rendering them irreducible to the product of a single spatial mode and a single polarisation state. Traditionally, the spatial degree of freedom of vector modes is constructed using two orthogonal modes from the same family. In this letter, we introduce a novel class of vector modes whose spatial degree of freedom is encoded by combining modes from both the Hermite- and Laguerre-Gaussian families. This particular superposition is not arbitrary, and we provide a detailed explanation of the methodology employed to achieve it. Notably, this new class of vector modes, which we term Hybrid Hermite-Laguerre-Gaussian (HHLG) vector modes, gives rise to subsets of modes exhibiting polarisation dependence on propagation due to the difference in mode orders between the constituent Hermite- and Laguerre-Gaussian modes. To the best of our knowledge, this is the first demonstration of vector modes composed of two scalar modes originating from different families. We anticipate diverse applications for HHLG vector modes in fields such as free-space communications, information encryption, optical metrology, and beyond.
title Hermite-Laguerre-Gaussian Vector Modes
topic Optics
url https://arxiv.org/abs/2405.08207