Bohm approach to the Gouy phase shift

Héctor M. Moya-Cessa; Sergio A. Hojman; Felipe A. Asenjo; Francisco Soto-Eguibar

doi:10.1016/j.ijleo.2021.168468

Bohm approach to the Gouy phase shift

Héctor M. Moya-Cessa, Sergio A. Hojman, Felipe A. Asenjo, Francisco Soto-Eguibar

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

By adapting the Madelung–Bohm formalism to paraxial wave propagation we show, by using Ermakov–Lewis techniques, that the Gouy phase is related to the form of the phase chosen in order to produce a Gaussian function as a propagated field. For this, we introduce a quantum mechanical invariant, that it is explicitly time dependent. We finally show that the effective Bohm index of refraction generates a GRIN medium that produces the focusing needed for the Gouy phase.

Idioma original	Inglés
Número de artículo	168468
Publicación	Optik
Volumen	252
DOI	https://doi.org/10.1016/j.ijleo.2021.168468
Estado	Publicada - feb. 2022
Publicado de forma externa	Sí

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title = "Bohm approach to the Gouy phase shift",

abstract = "By adapting the Madelung–Bohm formalism to paraxial wave propagation we show, by using Ermakov–Lewis techniques, that the Gouy phase is related to the form of the phase chosen in order to produce a Gaussian function as a propagated field. For this, we introduce a quantum mechanical invariant, that it is explicitly time dependent. We finally show that the effective Bohm index of refraction generates a GRIN medium that produces the focusing needed for the Gouy phase.",

keywords = "Bohm potential, Gouy phase, Lewis–Ermakov invariant",

author = "Moya-Cessa, {H{\'e}ctor M.} and Hojman, {Sergio A.} and Asenjo, {Felipe A.} and Francisco Soto-Eguibar",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier GmbH",

year = "2022",

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doi = "10.1016/j.ijleo.2021.168468",

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AU - Hojman, Sergio A.

AU - Asenjo, Felipe A.

AU - Soto-Eguibar, Francisco

PY - 2022/2

Y1 - 2022/2

N2 - By adapting the Madelung–Bohm formalism to paraxial wave propagation we show, by using Ermakov–Lewis techniques, that the Gouy phase is related to the form of the phase chosen in order to produce a Gaussian function as a propagated field. For this, we introduce a quantum mechanical invariant, that it is explicitly time dependent. We finally show that the effective Bohm index of refraction generates a GRIN medium that produces the focusing needed for the Gouy phase.

AB - By adapting the Madelung–Bohm formalism to paraxial wave propagation we show, by using Ermakov–Lewis techniques, that the Gouy phase is related to the form of the phase chosen in order to produce a Gaussian function as a propagated field. For this, we introduce a quantum mechanical invariant, that it is explicitly time dependent. We finally show that the effective Bohm index of refraction generates a GRIN medium that produces the focusing needed for the Gouy phase.

KW - Bohm potential

KW - Gouy phase

KW - Lewis–Ermakov invariant

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SN - 0030-4026

VL - 252

JO - Optik

JF - Optik

M1 - 168468

ER -

Bohm approach to the Gouy phase shift

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