Diffractive Geometric Optics for Bloch Wave Packets
نویسندگان
چکیده
منابع مشابه
Mathematik in den Naturwissenschaften Leipzig Diffractive geometric optics for Bloch wave packets
We study, for times of order 1/ε, solutions of wave equations which are O(ε2) modulations of an ε periodic wave equation. The solutions are of slowly varying amplitude type built on Bloch plane waves with wavelength of order ε. We construct accurate approximate solutions of three scale WKB type. The leading profile is both transported at the group velocity and dispersed by a Schrödinger equatio...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2011
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-011-0452-9