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

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

2 Scopus citations

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.

Original language	English
Article number	168468
Journal	Optik
Volume	252
DOIs	https://doi.org/10.1016/j.ijleo.2021.168468
State	Published - Feb 2022
Externally published	Yes

Keywords

Bohm potential
Gouy phase
Lewis–Ermakov invariant

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10.1016/j.ijleo.2021.168468

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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",

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AU - Moya-Cessa, Héctor M.

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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DO - 10.1016/j.ijleo.2021.168468

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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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Keywords

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