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DY: Dynamik und Statistische Physik
DY 13: Quantum Chaos
DY 13.7: Vortrag
Freitag, 4. März 2005, 15:45–16:00, TU H2032
Goos-Hänchen effect at curved interfaces — •Martina Hentschel1 and Henning Schomerus2,3 — 1Universität Regensburg, 93040 Regensburg — 2MPIPKS Dresden, Nöthnitzer Str. 38, 01187 Dresden — 3University of Lancaster, Lancaster LA1 4YW
The Goos-Hänchen effect describes that under the conditions for total reflection the reflected beam is displaced along the dielectric interface from the point of incidence of the incoming beam. This effect leads to corrections to the ray picture, and at curved interfaces also implies corrections to Fresnel’s laws, which become sizable when the wavelength becomes comparable to the system size. Here, we use Husimi functions generalized to dielectric interfaces in order to study the Goos-Hänchen effect at curved interfaces, for which we consider a focussed beam that hits a circular resonator. We show that the Husimi functions allow to read-off the Goos-Hänchen shift directly in phase space. We study the dependence on the angle of incidence, the index of refraction and the curvature of the resonator, as well as on the wavelength and the beam width. This allows us to distinguish between beam and curvature effects. We also determine the effective scattering radius of the cavity and discuss near and far field radiation characteristics.