Scattering of radiation by a quasiperiodic two-dimensional medium |
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Authors: | Maria Serra |
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Institution: | (1) Centre de Physique Théorique (Laboratoire Propre du Centre National de la Recherche Scientifique), CNRS Luminy-Case 907, F-13288 Marseille Cedex 9, France |
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Abstract: | We study the scattering of radiation by a medium presenting inhomogeneities distributed in a quasiperiodic way. We show the existence of quasiperiodic solutions of the two-dimensional stationary wave equation, under certain conditions on the index of refraction, using a technique based on Dinaburg-Sinai method for one-dimensional Schrödinger equation with a quasiperiodic potential. Moreover we show that the energy spctrum contains a nonempty absolutely continuous component, with a subset having high degeneracy, provided the inhomogeneities are small enough. |
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Keywords: | Two-dimensional wave equation quasiperiodic index of refraction Dinaburg-Sinai method Schrö dinger equation quasiperiodic solutions absolutely continuous spectrum degeneracy |
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