Perfectly matched layers for the stationary Schrodinger equation in a periodic structure

Abstract

We construct a perfectly matched absorbing layer for stationary Schrodinger equation with analytic slowly decaying potential in a periodic structure. We prove the unique solvability of the problem with perfectly matched layer of finite length and show that solution to this problem approximates a solution to the original problem with an error that exponentially tends to zero as the length of perfectly matched layer tends to infinity.

arXiv commentISBN-978-951-39-3062-2

References in corpus (1)

• Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients