Abstract
When coupled modes are excited in a multilayered structure, the profile of the reflected beam presents exotic characteristics like unexpectedly large lateral shifts or beam enlargment. These results are surprising because they are not accounted for by classical approaches (Artmann’s formula or Tamir’s description of the reflected beam’s profile). Studying such situations requires reliable numerical tools - that is why our programmes are published with this paper. Such tools can be used to understand the behaviour of any multi-layered structure.
Highlights
Non-specular phenomena in the reflection of beams have been studied since the middle of the nineteenth century from a theoretical point of view and since the middle of the twentieth century with the work of Goos and Hanchen [2] for the experimental part
A formula giving the asymptotic shift of the beam was soon proposed by Artmann [3] to describe the Goos-Hanchen effect, but it proved to be more general since it could account for all lateral shifts, even the giant lateral shifts due to leaky mode excitation [4]
It is possible to conclude that the lateral shift due to the excitation of a leaky mode is much larger than the Goos-Hanchen shift and that it can be negative either when the leaky mode is backward [4] or when the structure is lossy [7]
Summary
P U B L IC A T IO N Clermont Universite, Universite Blaise Pascal, LASMEA, BP 10448, F-63000 Clermont-Ferrand CNRS, UMR6602, LASMEA, F-63177 Aubiere Clermont Universite, Universite Blaise Pascal, LASMEA, BP 10448, F-63000 Clermont-Ferrand CNRS, UMR6602, LASMEA, F-63177 Aubiere Clermont Universite, Universite Blaise Pascal, LASMEA, BP 10448, F-63000 Clermont-Ferrand CNRS, UMR6602, LASMEA, F-63177 Aubiere Clermont Universite, Universite Blaise Pascal, LASMEA, BP 10448, F-63000 Clermont-Ferrand CNRS, UMR6602, LASMEA, F-63177 Aubiere Clermont Universite, Universite Blaise Pascal, LASMEA, BP 10448, F-63000 Clermont-Ferrand CNRS, UMR6602, LASMEA, F-63177 Aubiere. When coupled modes are excited in a multilayered structure, the profile of the reflected beam presents exotic characteristics like unexpectedly large lateral shifts or beam enlargment. These results are surprising because they are not accounted for by classical approaches (Artmann’s formula or Tamir’s description of the reflected beam’s profile). Studying such situations requires reliable numerical tools that is why our programmes are published with this paper. Such tools can be used to understand the behaviour of any multi-layered structure.
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