Corpus ID: 237941172

Bohm approach to the Gouy phase shift

@inproceedings{MoyaCessa2021BohmAT,
  title={Bohm approach to the Gouy phase shift},
  author={H{\'e}ctor Manuel Moya-Cessa and Sergio A. Hojman and Felipe A Asenjo and Francisco Soto-Eguibar},
  year={2021}
}
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 index of refraction generates a GRIN medium that produces the… Expand

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