On a symplecticity and dispersion relation preserving parallel solver for Maxwell''s equations
Date Issued
2009
Date
2009
Author(s)
Tsai, Ming-Hong
Abstract
In this thesis, the electromagnetic wave equations discretized in non-staggered grids.o avoid even-odd spurious oscillations,he first-order spatial derivative terms will be approximatedy the explicit compact scheme to save the computational time.o accommodate the Hamiltonian structure in the Maxwell''s equations,he time integrator employed in the current semi-discretizationalls into the symplectic category.he integrity of the finite difference time domain method for solvinghe Maxwell''s equations involving scatters will be verified by solvingeveral problems in two- and three-dimensional that are amenable to the exact solutions.he results with good rates of convergence are demonstratedor all the investigated problems. For simulating wave problems on open domain, in this thesis, the Perfectly matched layer (PML), Total-field-Scattered-field (TF/SF) and Level Set method are employed for solving scattering problems, including 2-D (TM) Mie scattering problem, 3-D Mie scattering problem andodeling of PC-based L-shaped waveguide problem. The results simulated from the proposed method agree well with other numerical and experimental results for the chosen problems. Finally, the present Maxwell''s equation solver for the 3-D Mie scattering problemre solved in MPI parallel platforms.ith the domain decomposition methods combined with the proposedcheme, the speed-up and efficiency are both good in the simulated scattering problem.
Subjects
dispersion relation preserving
symplecticity
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-98-R96525007-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):bbdef66b6171765206050373d51886c9