E-Locus - Institutional Repository of the University of Crete - Asymptotic approximation of the winger function in two-phase geometric optics

Home Asymptotic approximation of the winger function in two-phase geometric optics

Results - Details

[Add to Basket]

Identifier

000351964

Title

Asymptotic approximation of the winger function in two-phase geometric optics

Alternative Title

Ασυμπτωτική προσέγγιση της συνάρτησης winger στη διφασική οπτική

Author

Γιαννοπούλου, Κωνσταντίνα-Σταυρούλα

Thesis advisor

Μακράκης Γεώργιος

Abstract

We propose a renormalization process of a two phase WKB solution, which is based on an appropriate surgery of local uniform asymptotic approximations of the Wigner transform of the WKB solution. We explain in details how this process provides the correct spatial variation and frequency scales of the wave field on the caustics where WKB method fails. The analysis has been thoroughly presented in the case of a fundamental problem, that is the semiclassical Airy equation, which arises from the model problem of acoustic propagation in a layer with linear variation of the sound speed.

Language

English

Subject

Caustics

Geometrical optics

Phase space

Semiclassical limit

Uniform Statitionary phase asymptotics

Winger function

Ασυμπτωτικά ομοιόμορφης στάσιμης φάσης

Γεωμετρική οπτική

Ημικλασικό όριο