We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.
Bibliographical noteFunding Information:
This work was supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy under Contract DEFGO288ER25053 and by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR under NSSEFF Program Award FA9550-10-1-0180 . K.L.H. was also supported in part by the National Science Foundation under grants DGE-0333389 and DMS-1203554 . J.Y.L. was also supported in part by the Priority Research Centers Program ( 2009-0093827 ) and the Basic Science Research Program ( 2012-002298 ) through the National Research Foundation (NRF) of Korea .
- Acoustic scattering
- Boundary integral equations
- Electromagnetic scattering
- Fast direct solvers
- Multiple material interfaces
- Triple junctions