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Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations
- Source :
- Mathematical Problems in Engineering, Vol 2017 (2017)
- Publication Year :
- 2017
- Publisher :
- Hindawi Limited, 2017.
-
Abstract
- In this paper, we develop a new method to reduce the error in the splitting finite-difference method of Maxwell’s equations. By this method two modified splitting FDTD methods (MS-FDTDI, MS-FDTDII) for the two-dimensional Maxwell equations are proposed. It is shown that the two methods are second-order accurate in time and space and unconditionally stable by Fourier methods. By energy method, it is proved that MS-FDTDI is second-order convergent. By deriving the numerical dispersion (ND) relations, we prove rigorously that MS-FDTDI has less ND errors than the ADI-FDTD method and the ND errors of ADI-FDTD are less than those of MS-FDTDII. Numerical experiments for computing ND errors and simulating a wave guide problem and a scattering problem are carried out and the efficiency of the MS-FDTDI and MS-FDTDII methods is confirmed.
- Subjects :
- Article Subject
Spacetime
Scattering
lcsh:Mathematics
General Mathematics
Mathematical analysis
Numerical dispersion
General Engineering
Finite-difference time-domain method
020206 networking & telecommunications
010103 numerical & computational mathematics
02 engineering and technology
lcsh:QA1-939
01 natural sciences
symbols.namesake
Fourier transform
Maxwell's equations
lcsh:TA1-2040
Electromagnetic field solver
Scattering-matrix method
0202 electrical engineering, electronic engineering, information engineering
symbols
0101 mathematics
lcsh:Engineering (General). Civil engineering (General)
Mathematics
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2017
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....0284abbdc56ccffdfe953ccfdb8b4b1b