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Multilevel plane wave time domain–based global boundary kernels for two‐dimensional finite difference time domain simulations
Author(s) -
Lu Mingyu,
Lv Meng,
Ergin Arif A.,
Shanker Balasubramaniam,
Michielssen Eric
Publication year - 2004
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2003rs002928
Subject(s) - boundary (topology) , time domain , plane wave , domain (mathematical analysis) , mathematics , plane (geometry) , boundary value problem , finite difference time domain method , mathematical analysis , perfectly matched layer , geometry , physics , computer science , optics , computer vision
Time domain boundary integrals are used to impose global transparent boundary conditions in two‐dimensional finite difference time domain solvers. Augmenting classical methods for imposing these conditions with the multilevel plane wave time domain scheme reduces the computational cost of enforcing a global transparent boundary condition from O () to O ( s t log s log t ); here s and t denote the number of equivalent source boundary nodes and their time samples used to integrate external fields, respectively. Numerical results demonstrate that for thin and concave material objects, plane wave time domain‐accelerated global transparent boundary kernels outperform perfectly matched layer‐based absorbing boundary schemes without loss of accuracy.