FDTD method for piecewise homogeneous dielectric media
Zh. O. Dombrovskaya
Lomonosov Moscow State University, Faculty of Physics,
GSP-1, Leninskie Gory, Moscow 119991, Russia
In this paper, we consider a numerical solution of Maxwell's curl equations for piecewise uniform dielectric medium by the example of a one-dimensional problem. For obtaining the second order accuracy, the electric field grid node is placed into the permittivity discontinuity point of the medium. If the dielectric permittivity is large, the problem becomes singularly perturbed and a contrast structure appears. We propose a piecewise quasi-uniform mesh which resolves all characteristic solution parts of the problem (regular part, boundary layer and transition zone placed between them) in detail. The features of the mesh are discussed.
finite-difference time-domain (FDTD) method, Yee’s scheme, dielectric interfaces, layered media, quasi-uniform meshes.
|Russian Foundation for Basic Research
|This work was supported by the Russian Foundation for Basic Research (Projects No 15-01-03524 and No 16-31-00418).
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Zh. O. Dombrovskaya, “FDTD method for piecewise homogeneous dielectric media”, Model. Anal. Inform. Sist., 23:5 (2016), 539–547
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\paper FDTD method for piecewise homogeneous dielectric media
\jour Model. Anal. Inform. Sist.
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