Two absorbing boundary conditions (ABC's) are derived for the cylindrical MRTD grids. The first one is the convolutional perfectly matched layer (CPML) based on stretched coordinates with complex frequency shifted constitutive parameters, and the other is the straightforward extension of CPML named quasi-CPML (QCPML) as it is no longer perfectly matched for cylindrical interfaces. Unlike the Berenger's PML, the implementations of the two ABC's are completely independent of the host material. Numerical results show that both ABC's can provide a quite satisfactory absorbing boundary condition, and can save more CPU time and memory than the Berenger's PML, while the QCPML has an advantage of CPML at the proposed absorbing performance, CPU time and memory saving. Moreover, it is shown that the QCPML is more effective than the PML and CPML at absorbing evanescent waves.
2. Krumpholz, M. and L. P. B. Katehi, "MRTD: New time-domain schemes based on multiresolution analysis," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 4, 555-561, April 1996.
3. Pan, G., M. V. Toupikov, and B. K. Gilbert, "On the use of Coifman intervallic wavelets in the method of moments for fast construction of wavelets sparsified matrices," IEEE Trans. Antennas Propagat., Vol. 47, No. 7, 1189-1200, July 1999.
4. Cheong, Y. W., Y. M. Lee, K. H. Ra, J. G. Kang, and C. C. Shin, "Wavelet-Galerkin scheme of time-dependent inhomogeneous electromagnetic problems," IEEE Microwave Guided Wave Lett., Vol. 9, No. 8, 297-299, August 1999.
5. Grivet-Talocia, S., "On the accuracy of Haar-based multiresolution time-domain schemes," IEEE Microwave Wave Lett., Vol. 10, No. 10, 397-399, October 2000.
6. Dogaru, T. and L. Carin, "Multiresolution time-domain using CDF biorthogonal wavelets," IEEE Trans. Antennas Propagat., Vol. 49, No. 5, 902-912, May 2001.
7. Fujii, M. and W J. R. Hoefer, "Dispersion of time domain wavelet Galerkin method based on Daubechies’ compactly supported scaling functions with three and four vanishing moments," IEEE Microwave Guided Wave Lett., Vol. 10, No. 4, 125-127, April 2000.
8. Kong, L.-Y., J. Wang, and W.-Y. Yin, "A novel dielectric conformal FDTD method for computing SAR distribution of the human body in a metallic cabin illuminated by an intentional electromagnetic pulse (IEMP)," Progress In Electromagnetics Research, Vol. 126, 355-373, 2012.
9. Mao, Y., B. Chen, H.-Q. Liu, J.-L. Xia, and J.-Z. Tang, "A hybrid implicit-explicit spectral FDTD scheme for oblique incidence problems on periodic structures," Progress In Electromagnetics Research, Vol. 128, 153-170, 2012.
10. Wang, J.-B., B.-H. Zhou, L.-H. Shi, C. Gao, and B. Chen, "A novel 3-D weakly conditionally stable FDTD algorithm," Progress In Electromagnetics Research, Vol. 130, 525-540, 2012.
11. Xiong, R., B. Chen, Y. Mao, B. Li, and Q.-F. Jing, "A simple local approximation FDTD model of short apertures with a finite thickness," Progress In Electromagnetics Research, Vol. 131, 135-152, 2012.
12. Xiong, R., B. Chen, J.-J. Han, Y.-Y. Qiu, W. Yang, and Q. Ning, "Transient resistance analysis of large grounding systems using the FDTD method," Progress In Electromagnetics Research, Vol. 132, 159-175, 2012.
13. Gradoni, G., V. Mariani Primiani, and F. Moglie, "Reverberation chamber as a multivariate process: FDTD evaluation of correlation matrix and independent positions," Progress In Electromagnetics Research, Vol. 133, 217-234, 2013.
14. Kong, Y.-D., Q.-X. Chu, and R.-L. Li, "High-order unconditionally-stable four-step adi-FDTD methods and numerical analysis," Progress In Electromagnetics Research, Vol. 135, 713-734, 2013.
15. Chun, K., H. Kim, H. Kim, and Y. Chung, "PLRC and ADE implementations of Drude-critical point dispersive model for the FDTD method," Progress In Electromagnetics Research, Vol. 135, 373-390, 2013.
16. Liu, Y., Y. Chen, B. Chen, and X. Xu, "A cylindrical MRTD algorithm with PML and quasi-PML," IEEE Trans. Microwave Theory Tech., Vol. 61, No. 3, 1006-1017, March 2013.
17. Roden, J. A. and S. D. Gedney, "Convolution PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media," Microwave Opt. Technol. Lett., Vol. 27, No. 5, 334-339, December 2000.
18. Abarbanel, S., D. Gottlieb, and J. S. Hesthaven, "Long time behavior of the perfectly matched layer equations in computational electromagnetics," Journal of Scientific Computing, Vol. 17, No. 1-4, 405-422, 2002.
19. Sweldens, W. and R. Piessens, "Wavelet sampling techniques," Proc. Statistical Computing Section, 20-29, 1993.
20. Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., Vol. 114, No. 2, 195-200, 1994.
21. Teixeira, F. L. and W. C. Chew, "PML-FDTD in cylindrical and spherical grids," IEEE Microwave Guided Wave Lett., Vol. 7, No. 9, 285-287, September 1997.
22. Chew, W. C. and W. H. Weedon, "A 3D perfectly matched medium from modified Maxwell’s equations with stretched coordinates," Microwave Opt. Technol. Lett., Vol. 7, No. 7, 599-604, September 1994.
23. Gedney, S. D. and The perfectly matched layer absorbing medium, Advances in Computational Electrodynamics: The Finite Difference Time Domain, A. Taflove (ed.), 263-340, Artech House, Boston, MA, 1998.