Vol. 02
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures
By
, Vol. 02, 287-373, 1990
Abstract
Citation
Allen Taflove , "The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures," , Vol. 02, 287-373, 1990.
doi:10.2528/PIER89010800
http://www.jpier.org/PIER/pier.php?paper=890108
References

1. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat., Vol. 14, 302-307, 1966.
doi:10.1109/TAP.1966.1138693

2. Taflove, A. and M. E. Brodwin, "Numerical solution of steadystate electromqnetic scattering problems using the time-dependent Maxwell's equations," IEEE Trans. Microwave Theory Tech., Vol. 23, 623-630, 1975.
doi:10.1109/TMTT.1975.1128640

3. Kriegsmmn, G. A., "Exploiting the limiting amplitude principle to numerically solve scattering problems," Wave Motion, Vol. 4, 371-380, 1982.
doi:10.1016/0165-2125(82)90005-1

4. Taflove, A. and M. E. Brodwin, "Computation of the electromagnetic fields and induced temperatures within a model of the microwave-irradiated human eye," IEEE Trans. Microwave Theory Tech., Vol. 23, 888-896, 1975.
doi:10.1109/TMTT.1975.1128708

5. Taflove, A., "Application of the finite-difference time-domain method to sinusoidd steady state electromagnetic penetration problems," IEEE Trans. Electromagn. Cornpat., Vol. 22, 191-202, 1980.
doi:10.1109/TEMC.1980.303879

6. Taflove, A. and K. R. Umashankar, "A hybrid moment method/finite-difference time-domain approach to electromagnetic coupling and aperture penetration into complex geometries," IEEE Trans. Antennas Propagat., Vol. 30, 617-627, 1982.
doi:10.1109/TAP.1982.1142860

7. Holland, R., "Threde: A free-field EMP coupling and scattering code," IEEE Trans. Nuclear Sci., Vol. 24, 2416-2421, 1977.
doi:10.1109/TNS.1977.4329229

8. Kunz, K. S. and K. M. Lee, "A three-dimensional finite-difference solution of the external response of an aircraft to a complex transient EM environment: Part I, The method and its implementation," IEEE Trans. Electromagn. Compat., Vol. 20, 328-333, 1978.
doi:10.1109/TEMC.1978.303726

9. Merewether, D. E., R. Fisher, and F. W. Smith, "On implementing a numeric Huygens' source scheme in a finite-difference program to illuminate scattering bodies," IEEE Trans. Nuclear Sci., Vol. 27, 1819-1833, 1980.
doi:10.1109/TNS.1980.4331114

10. Taflove, A. and K. R. Umashankar, Advanced numerical modeling of microwave penetration and coupling for complex structures, Final Rept. No. UCRL-15960, Contract 6599805, Lawrence Livermore Nat. Lab., 1987.

11. Mur, G., "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations," IEEE Trans. Electromagn. Compat., Vol. 23, 377-382, 1981.
doi:10.1109/TEMC.1981.303970

12. Umashankar, K. R. and A. Taflove, "A novel method to analyze electromagnetic scattering of complex objects," IEEE Trans. Electromagn. Compat., Vol. 24, 397-405, 1982.
doi:10.1109/TEMC.1982.304054

13. Taflove, A. and K. R. Umashankar, "Radar cross section of general three-dimensional scatterers," IEEE Trans. Electromagn. Compat., Vol. 25, 433-440, 1983.
doi:10.1109/TEMC.1983.304133

14. Taflove, A., K. R. Umashankar, and T. G. Jurgens, "Validation of FD-TD modeling of the radar cross section of three-dimensional structures spanning up to nine wavelengths," IEEE Trans. Antennas Propagat., Vol. 33, 662-666, 1985.
doi:10.1109/TAP.1985.1143644

15. Taflove, A., K. R. Umashankar, B. Beker, F. Harfoush, and K. S. Yee, "Detailed FD-TD analysis of electromagnetic fields penetrating narrow slots and lapped joints in thick conducting screens," IEEE Trans. Antennas Propagat., Vol. 36, 247-257, 1988.
doi:10.1109/8.1102

16. Umashankar, K. R., A. Taflove, and B. Beker, "Calculation and experimental validation of induced currents on coupled wires in an arbitrary shaped cavity," IEEE Trans. Antennas Propagat., Vol. 35, 1248-1257, 1987.
doi:10.1109/TAP.1987.1144000

17. Engquist, B. and A. Majda, "Absorbing boundary conditions for the numerical simulation of waves," Math. Comp., Vol. 31, 629-651, 1977.
doi:10.1090/S0025-5718-1977-0436612-4

18. Trefethen, L. N. and L. Halpern, "Well-posedness of one-way wave equations and absorbing boundary conditions," Inst. Comput. Appl. Sci. and Engrg. (ICASE), Rept. 85-30, NASA Langley Res. Ctr., Hampton, VA, 1985.

19. Moore, T. G., J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, "Theory and application of radiation boundary operators," IEEE Trans. Antennas Propagat., Vol. 36, 1988 (in press).
doi:10.1109/8.192139

20. Blaschak, J. G. and G. A. Kriegsmann, "A comparative study of absorbing boundary conditions," J. Computational Physics, Vol. 77, 109-139, 1988.
doi:10.1016/0021-9991(88)90159-3

21. Borup, D. T., D. M. Sullivan, and O. P. Gandhi, "Comparison of the FFT conjugate gradient method and the finite-difference time-domain method for the 2-D absorption problem," IEEE Trans. Microwave Theory Tech., Vol. 35, 383-395, 1987.
doi:10.1109/TMTT.1987.1133660

22. Beker, B., K. R. Umashankar, and A. Taflove, "Numerical analysis and validation of the combined-field surface integral equations for electromagnetic scattering by arbitrary shaped two-dimensional anisotropic objects," IEEE Trans. Antennas Propagat., Vol. 37, 1989.
doi:10.1109/8.45100

23. Taflove, A. and K. R. Umashankar, "Analytical models for electromagnetic scattering,", Final Rept. RADC-TR-85-87, Contract F19628-82-C-0140, Electromagn. Sci. Div., Rome Air Dev. Center., Hanscom AFB, Mass., 1985.

24. Jurgens, T. G., A. Taflove, and K. R. Umashankar, "FD-TD conformal modeling of smooth curved surfaces," URSI Radio Science Meeting, Blacksburg, Virginia, June 1987.

25. Madsen, N. K. and R. W. Ziolkowski, "Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids," Wave Motion, Vol. 10, 1988 (in press).
doi:10.1016/0165-2125(88)90013-3

26. Fusco, M., "FD-TD algorithm in curvilinear coordinates," IEEE Trans. Antennas Propagat., submitted.

27. McCartin, B., L. J. Bahrmasel, and G. Meltz, "Application of the control region approximation to two-dimensional electromagnetic scattering,", Chap. 5 in this text.

28. Shankar, V. and W. Hall, "A time-domain differential solver for electromagnetic scattering problems," Proc. IEEE, Vol. 77, 1989 (in press).
doi:10.1109/5.32061

29. Blaschak, J. G., G. A. Kriegsmann, and A. Taflove, "A study of wave interactions with flanged waveguides and cavities using the on-surface radiation condition method," Wave Motion, Vol. 19, 1989 (in press).

30. Harfoush, F., A. Taflove, and G. A. Kriegsmann, "A numerical technique for analyzing electromagnetic wave scattering from moving surfaces in one and two dimensions," IEEE Trans. Antennas Propagat., Vol. 37, 1989 (in press).
doi:10.1109/8.192164

31. Harfoush, F., A. Taflove, and G. A. Kriegsmann, "Numerical implementation of relativistic electromagnetic field boundary conditions in a laboratory-frame grid," J. Computational Physics, accepted for publication.

32. De Zutter, D., "Reflections from linearly vibrating objects: Plane mirror at oblique incidence," IEEE Trans. Antennas Propagat., Vol. 30, 898-903, 1982.
doi:10.1109/TAP.1982.1142886

33. Wilton, D. R. and S. Govind, "Incorporation of edge conditions in moment method solutions," IEEE Trans. Antennas Propagat., Vol. 25, 845-850, 1977.
doi:10.1109/TAP.1977.1141678

34. Gilbert, J. and R. Holland, "Implementation of the thin-slot formalism in the finite-difference EMP code THREDII," IEEE Trans. Nuclear Sci., Vol. 28, 4269-4274, 1981.
doi:10.1109/TNS.1981.4335711

35. Yee, K. S., "A numerical method of solving Maxwell's equations with a coarse grid bordering a fine grid," SGEMP Note #9, Document D-DV-86-0008, D Division, Lawrence Livermore Nat. Lab., 1986.

36. Holland, R. and L. Simpson, "Finite-difference analysis of EMP coupling to thin struts and wires," IEEE Trans. Electromagn. Compat., Vol. 23, 88-97, 1981.
doi:10.1109/TEMC.1981.303899

37. Taflove, A. and K. R. Umashankar, "Evaluation of time-domain electromagnetic coupling techniques. Vol. I: Theory and numerical results," Final Rept. RADC-TR-80-251, Contract F30602-79-C-0039, Rome Air Dev. Center, Griffiss AFB, NY, 1980.

38. Sullivan, D. M., D. T. Borup, and O. P. Gandhi, "Use of the finite-difference time-domain method in calculating EM absorption in human tissues," IEEE Trans. Biomed. Engr., Vol. 34, 148-157, 1987.
doi:10.1109/TBME.1987.326039

39. Sullivan, D. M., O. P. Gandhi, and A. Taflove, "Use of the finite-difference time-domain method for calculating EM absorption in man models," IEEE Trans. Biomed. Eng., Vol. 35, 179-186, 1988.
doi:10.1109/10.1360

40. Zhang, X., J. Fang, K. K. Mei, and Y. Liu, "Calculations of the dispersive characteristics of microstrips by the time-domain finite-difference method," IEEE Trans. Microwave Theory Tech., Vol. 36, 263-267, 1988.
doi:10.1109/22.3514

41. Choi, D. H. and W. J. Hoefer, "The finite-difference time-domain method and its application to eigenvalue problems," IEEE Trans. Microwave Theory Tech., Vol. 34, 1464-1470, 1986.
doi:10.1109/TMTT.1986.1133564

42. Gwarek, W. K., "Analysis of arbitrarily-shaped two-dimensional microwave circuits by the finite-difference time-domain method," IEEE Trans. Microwave Theory Tech., Vol. 36, 738-744, 1988.
doi:10.1109/22.3579

43. Umashankar, K. R., S. K., Chaudhuri, and A. Taflove, "Finite-difference time-domain formulation of an inverse scattering scheme for remote sensing of inhomogeneous lossy layered media," IEEE Trans. Antennas Propagat., submitted.

44. Strickel, M. A., A. Taflove, and K. R. Umashankar, "Accurate reconstruction of two-dimensional conducting and homogeneous dielectric target shapes from a single-point TM scattered field pulse response," IEEE Trans. Antennas Propagat., submitted.

45. Strickel, M. A. and A. Taflove, "Reconstruction of one- and two-dimensional inhomogeneous dielectric targets using the FD-TD/feedback method," IEEE Trans. Antennas Propagat., submitted.

46. Bennett, C. L. and G. F. Ross, "Time-domain electromagnetics and its applications," Proc. IEEE, Vol. 66, 299-318, 1978.
doi:10.1109/PROC.1978.10902