Incorporating the Havriliak–Negami dielectric model in the FD-TD method |
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Authors: | Matthew F Causley Peter G PetropoulosShidong Jiang |
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Institution: | Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, United States |
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Abstract: | We derive and analyze an efficient algorithm to incorporate the anomalously dispersive Havriliak–Negami dielectric model of induced polarization in the Finite-difference time-domain (FD-TD) method. Our algorithm implements this dielectric model, which in the time-domain involves fractional derivatives and fractional differential operators, with a preset error over the desired computational time interval 0,Tcomp] and correctly takes into account the singularity at t = 0+ of the corresponding time-domain dielectric susceptibility. The overall algorithm is shown to be second-order accurate in space and time, and to obey the standard FD-TD stability condition. Numerical experiments confirm our analysis. |
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Keywords: | Dispersive dielectrics Time-domain Computational electromagnetics Finite-difference time-domain |
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