Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774947 | Journal of Mathematical Analysis and Applications | 2017 | 22 Pages |
Abstract
In this paper, we study the non-reflecting boundary condition for the time-harmonic Maxwell's equations in homogeneous waveguides with an inhomogeneous inclusion. We analyze a series representation of solutions to the Maxwell's equations satisfying the radiating condition at infinity, from which we develop the so-called electric-to-magnetic operator for the non-reflecting boundary condition. Infinite waveguides are truncated to a finite domain with a fictitious boundary on which the non-reflecting boundary condition based on the electric-to-magnetic operator is imposed. As the main goal, the well-posedness of the reduced problem will be proved. This study is important to develop numerical techniques of accurate absorbing boundary conditions for electromagnetic wave propagation in waveguides.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Seungil Kim,