1. Ishimaru, A. and Ed., Wave Propagation and Scattering in Random Media, 2nd edition, Academic, New York, 1978.
2. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Transactions on Antennas and Propagation, Vol. 14, 302-307, 1966.
doi:10.1109/TAP.1966.1138693 Google Scholar
3. Taflove, A. and S. Hagness, Computational Electromagnetics: The Finite-difference Time-domain Method, 3nd Edition, Artech House, Boston, MA, 2005.
4. Taflove, A., K. R. Umashankar, and T. G. Jurgens, "Validation of FDTD modeling of the radar cross-section of three-dimensional structures spanning up to 9 wavelengths," IEEE Transactions on Antennas and Propagation, Vol. 33, 662-666, 1985.
doi:10.1109/TAP.1985.1143644 Google Scholar
5. Li, X., A. Taflove, and V. Backman, "Modified FDTD near-to-far-field transformation for improved backscattering calculation of strongly forward-scattering objects," IEEE Antennas and Wireless Propagation Letters, Vol. 4, 35-38, 2005.
doi:10.1109/LAWP.2005.845038 Google Scholar
6. Umashankar, K. R. and A. Taflove, "A novel method to analyze electromagnetic scattering of complex objects," IEEE Transactions on Electromagnetic Compatibility, Vol. 24, 397-405, 1982.
doi:10.1109/TEMC.1982.304054 Google Scholar
7. Shlager, K. L. and J. B. Schneider, "Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms," IEEE Transactions on Antennas and Propagation, Vol. 51, 642-653, 2003.
doi:10.1109/TAP.2003.808532 Google Scholar
8. Nehrbass, J. W., J. O. Jevtc, and R. Lee, "Reducing the phase error for finite-difference methods without increasing the order," IEEE Transactions on Antennas and Propagation, Vol. 46, 1194-1201, 1998.
doi:10.1109/8.718575 Google Scholar
9. Cole, J. B., "High-accuracy realization of the Yee algorithm using non-standard finite differences," IEEE Transactions on Microwave Theory and Techniques, Vol. 45, 991-996, 1997.
doi:10.1109/22.588615 Google Scholar
10. Kim, W.-T., I.-S. Koh, and J.-G. Yook, "3D isotropic dispersion (ID)-FDTD algorithm: Update equation and characteristics analysis," IEEE Transactions on Antennas and Propagation, Vol. 58, 1251-1259, 2010.
doi:10.1109/TAP.2010.2041311 Google Scholar
11. Lan, K., Y. Liu, and W. Lin, "Higher order (2, 4) scheme for reducing dispersion in FDTD algorithm," IEEE Transactions on Electromagnetic Compatibility, Vol. 41, 160-165, 1999.
doi:10.1109/15.765109 Google Scholar
12. Georgakopoulos, S. V., C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration. Part 1: Theory," IEEE Antennas and Propagation Magazine, Vol. 44, 134-142, 2002.
doi:10.1109/74.997945 Google Scholar
13. Georgakopoulos, S. V., C. R. Birtcher, and C. A. Balanis, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, Part 2: Applications," IEEE Antennas and Propagation Magazine, Vol. 44, 92-101, 2002.
doi:10.1109/MAP.2002.1003639 Google Scholar
14. Abd El-Raouf, H. E., E. A. El-Diwani, A. E.-H. Ammar, and F. El-Hefnawi, "A low-dispersion 3-D second-order in time fourth- order in space FDTD scheme (M3d24)," IEEE Transactions on Antennas and Propagation, Vol. 52, 1638-1646, 2004.
doi:10.1109/TAP.2004.831286 Google Scholar
15. Zygiridis, T. T. and T. D. Tsiboukis, "Low-dispersion algorithms based on the higher order (2, 4) FDTD method," IEEE Transactions on Microwave Theory and Techniques, Vol. 52, 1321-1327, 2004.
doi:10.1109/TMTT.2004.825695 Google Scholar
16. Zygiridis, T. T. and T. D. Tsiboukis, "A dispersion-reduction scheme for the higher order (2, 4) FDTD method," IEEE Transactions on Magnetics, Vol. 40, 1464-1467, 2004.
doi:10.1109/TMAG.2004.824779 Google Scholar
17. Hadi, M. F. and S. F. Mahmoud, "A high-order compact- FDTD algorithm for electrically large waveguide analysis," IEEE Transactions on Antennas and Propagation, Vol. 56, 2589-2598, 2008.
doi:10.1109/TAP.2008.927545 Google Scholar
18. Georgakopoulos, S. V. and R. A. Renaut, "A hybrid forth-order FDTD utilizing a second-order FDTD subgrid," IEEE Microwave and Wireless Components Letters, Vol. 11, 462-464, 2001.
doi:10.1109/7260.966042 Google Scholar
19. Fang, J., "Time domain finite difference computation for Maxwell's equations,", Ph.D. Dissertation, University of California, Berkeley, CA, USA, 1989. Google Scholar
20. Hadi, M. F., "A finite volumes-based 3-D low dispersion FDTD algorithm," IEEE Transactions on Antennas and Propagation, Vol. 55, 2287-2293, 2007.
doi:10.1109/TAP.2007.901996 Google Scholar
21. Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic waves," Journal of Computional Physics, Vol. 114, 185-200, 1994.
doi:10.1006/jcph.1994.1159 Google Scholar
22. Zygiridis, T. T. and T. D. Tsiboukis, "Development of higher order FDTD schemes with controllable dispersion error," IEEE Transactions on Antennas and Propagation, Vol. 53, 2952-2960, 2005.
doi:10.1109/TAP.2005.854559 Google Scholar
23. Hadi, M. F. and M. Piket-May, "Modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Transactions on Antennas and Propagation, Vol. 45, 254-264, 1997.
doi:10.1109/8.560344 Google Scholar
24. Ogurtsov, S. and S. V. Georgakopoulos, "FDTD schemes with minimal numerical dispersion," IEEE Transactions on Advanced Packaging, Vol. 32, 199-204, 2009.
doi:10.1109/TADVP.2008.2008100 Google Scholar
25. Hadi, M. F. and R. K. Dib, "Phase-matching the hybrid FV24/S22 FDTD algorithm," Progress In Electromagnetics Research, Vol. 72, 307-323, 2007.
doi:10.2528/PIER07031601 Google Scholar