Convergence Analysis of Planewave Expansion Methods for 2D Schrödinger Operators with Discontinuous Periodic Potentials
نویسندگان
چکیده
منابع مشابه
Convergence Analysis of Planewave Expansion Methods for 2D Schrödinger Operators with Discontinuous Periodic Potentials
In this paper we consider the problem of computing the spectrum of a Schrödinger operator with discontinuous, periodic potential in two dimensions using Fourier (or planewave expansion) methods. Problems of this kind are currently of great interest in the design of new optical devices to determine band gaps and to compute localised modes in photonic crystal materials. Although Fourier methods m...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2010
ISSN: 0036-1429,1095-7170
DOI: 10.1137/090756545