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arXiv · 2109.12373

Bohm approach to the Gouy phase shift

Héctor M. Moya-Cessa·Sergio A. Hojman·Felipe A. Asenjo·Francisco Soto-Eguibar
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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 despite the fact that the Hamiltonian is itself time-independent. We finally show that the effective Bohm {\it index of refraction} generates a GRIN medium that produces the focusing needed for the Gouy phase.

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Héctor M. Moya-Cessa, Sergio A. Hojman, Felipe A. Asenjo, Francisco Soto-Eguibar. 2021-09-25. Bohm approach to the Gouy phase shift. https://doi.org/10.1016/j.ijleo.2021.168468

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