Surface Impedance Absorbing Boundary for Terminating FDTD Simulations
Keywords:
ABC, CPML, FDTD, SIABCAbstract
An Absorbing Boundary Condition (ABC) for FDTD simulations based on the concept of surface impedance boundary, which is referred to as Surface Impedance Absorbing Boundary Condition (SIABC), is proposed in this paper. It is extremely easy to implement relative to other absorbing boundaries and is found to be sufficient for many practical applications. The formulation of the SIABC is developed and implemented. The performance of SIABC is comparable with that of 10-layers CPML.
Downloads
References
B. Engquist and A. Majda, “Absorbing boundary conditions for numerical simulation of waves,” Proceedings of the National Academy of Sciences, vol. 74, no. 5, pp. 1765–1766, 1977.
G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” Electromagnetic Compatibility, IEEE Transactions on, no. 4, pp. 377–382, 1981.
J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” Journal of Computational Physics, vol. 114, no. 2, pp. 185–200, 1994.
J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): an efficient fdtd implementation of the cfs-pml for arbitrary media,” Microwave and Optical Technology Letters, vol. 27, no. 5, pp. 334–338, 2000.
T. B. Senior, J. L. Volakis, and S. R. Legault, “Higher order impedance and absorbing boundary conditions,” Antennas and Propagation, IEEE Transactions on, vol. 45, no. 1, pp. 107–114, 1997.
S. Rytov, “Calcul du skin-effect par la m´ethode des perturbations,” J. Phys. USSR, vol. 2, no. 3, pp. 233–242, 1940.
M. Leontovich, “Approximate boundary conditions for the electromagnetic field on the surface of a good conductor,” Investigations on Radiowave Propagation, vol. 2, pp. 5–12, 1948.
J. G. Maloney and G. S. Smith, “The use of surface impedance concepts in the finite-difference time-domain method,” Antennas and Propagation, IEEE Transactions on, vol. 40, no. 1, pp. 38–48, 1992.
J. H. Beggs, R. J. Luebbers, K. S. Yee, and K. S. Kunz, “Finite-difference time-domain implementation of surface impedance boundary conditions,” Antennas and Propagation, IEEE Transactions on, vol. 40, no. 1, pp. 49–56, 1992.
A. Z. Elsherbeni and V. Demir, The finite-difference time-domain method for electromagnetics with MATLAB simulations. Raleigh, NC: SciTech Publishing Inc., 2009.
V. Demir, A. Z. Elsherbeni, D. Worasawate, and E. Arvas, “A graphical user interface (GUI) for plane-wave scattering from a conducting, dielectric, or chiral sphere,” Antennas and Propagation Magazine, IEEE, vol. 46, no. 5, pp. 94–99, 2004.
