2014/04/14 by Jun Lai, Lai, Jun, Sivaram Ambikasaran +4
Computer Science · Engineering · Mathematics · Physics and Astronomy · #45A05 #45B05 #65F05 #97N40 #Electromagnetic Compatibility and Measurements #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #G.1 #G.1.3 #Numerical Analysis (math.NA) #acm:45A05 #acm:45B05 #acm:65F05 #acm:97N40 #cs.NA #math.NA #msc:45A05 #msc:45B05 #msc:65F05 #msc:97N40
paper · pdf · doi:10.48550/arxiv.1404.3451
15 pages, 9 figures. Contact author for animation
arxiv created 2014/04/14 · openalex publication_date 2014/04/14 · arxiv updated 2014/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half space. The governing Maxwell equations are reformulated as a well-conditioned second kind integral equation and the resulting linear system is solved in nearly linear time using a hierarchical matrix factorization technique. We illustrate the performance of the scheme with several numerical examples for complex cavity shapes over a wide range of frequencies.