Prof. Silvania Alves de Carvalho
Department of Applied Mathematics, State University of Campinas
Conference room Querzoli - LENS - via Nello Carrara 1 - Sesto Fiorentino (Florence)
Published on-line at 04:37:29 PM on Wednesday, June 12th, 2013
Propagation of laser beams in stratified media
Propagation of Gaussian laser beams through stratified dielectric blocks between Optics and Quantum Mechanics.
In this presentation, I introduce the formalism to study the propagation of Gaussian laser beams through stratified dielectric blocks and briefly discuss the analogy between Optics and Quantum Mechanics (10.1140/epjd/e2010-10505-4, 10.1140/epjd/e2011-20408-5, 10.1080/09500340.2013.783637). By using the stationary phase method, I can determine the geometrical and quantum optical path. Amplifications of the Goos-Hänchen shift are seen for incidence closed to critical angle. In this discussion I present our approach, through SPM, for the spatial GH shift study and investigate the validity of our analytical formula for incidence at angles greater than the critical one. This validity was investigated through the transition from partial to total internal reflection regime. Besides that, a new approach for critical incidence is presented.
In the following I show in which conditions it is possible to see a dynamical shift for optical beams which propagate throughout stratified dielectric media. Asymmetric interference is an additional phenomenon seen in the presence of such dynamical maximum.
Finally, I present the study of the Gaussian laser propagation through a dielectric system composed by two right angle prisms. We investigate the transition between the spatial coherence limit, which exhibits wave-like properties and for which the resonance phenomenon can be seen, and the decoherence limit, which exhibits particle-like properties and for which the multiple diffusion occurs. The study presented for Gaussian profile can be easily extended to higher order of Hermite and Laguerre-Gaussian beams (10.1088/2040-8978/15/1/014001).
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