e study the limit of geometrical optics in dispersive inhomoge neous media. The short wavelength regime of the wave equation is investigated in the framework of the Wigner quasi-distribution function in the phase-space. The evolution of the field is expressed by a Cauchy problem for the position and direction of the optical rays. The extended time-frequency phase-space formalism furnishes a natural framework to study the fast oscillating limit of fields governed by non local in time pseudo-differential equations.

Wigner dynamics and limit of geometrical optics in inhomogeneous dispersive media / omar morandi. - In: KINETIC AND RELATED MODELS. - ISSN 1937-5093. - ELETTRONICO. - (2024), pp. 1-25. [10.3934/krm.2024012]

Wigner dynamics and limit of geometrical optics in inhomogeneous dispersive media

omar morandi
2024

Abstract

e study the limit of geometrical optics in dispersive inhomoge neous media. The short wavelength regime of the wave equation is investigated in the framework of the Wigner quasi-distribution function in the phase-space. The evolution of the field is expressed by a Cauchy problem for the position and direction of the optical rays. The extended time-frequency phase-space formalism furnishes a natural framework to study the fast oscillating limit of fields governed by non local in time pseudo-differential equations.
2024
1
25
omar morandi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1357130
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