Europhys. Lett.
Volume 62, Number 5, June 2003
Page(s) 636 - 642
Section General
Published online 01 May 2003
DOI: 10.1209/epl/i2003-00421-1
Europhys. Lett., 62 (5) , pp. 636-642 (2003)

Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond

M. Hentschel1, H. Schomerus1 and R. Schubert2

1  Max-Planck-Institut für Physik komplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany
2  Service de Physique Théorique, CEA/DSM/SPhT Unité de recherche associée au CNRS, CEA/Saclay F-91191 Gif-sur-Yvette Cédex, France

(Received 23 December 2002; accepted in final form 4 April 2003)

We introduce generalized Husimi functions at the interfaces of dielectric systems. Four different functions can be defined, corresponding to the incident and departing wave on both sides of the interface. These functions allow to identify mechanisms of wave confinement and escape directions in optical microresonators, and give insight into the structure of resonance wave functions. Off resonance, where systematic interference can be neglected, the Husimi functions are related by Snell's law and Fresnel's coefficients.

03.65.Sq - Semiclassical theories and applications.
03.65.Nk - Scattering theory.
42.25.-p - Wave optics.

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