Vol. 04
Latest Volume
All Volumes
PIER 185 [2026] PIER 184 [2025] PIER 183 [2025] PIER 182 [2025] PIER 181 [2024] PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] 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]
Finite Difference Method for Electromagnetic Scattering Problems
By
, Vol. 04, 373-442, 1991
Abstract
Citation
Chien-Feng Lee, Robert Tong-Ik Shin, and J. A. Kong, "Finite Difference Method for Electromagnetic Scattering Problems," , Vol. 04, 373-442, 1991.
doi:10.2528/PIER90062700
References

1. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media," IEEE Trans. Ant. Prop., Vol. AP-14, 302-307, May 1966.
doi:

504 Gateway Time-out

      

504 Gateway Time-out

' target='_blank'> Google Scholar

2. Holland, R. and L. Simpson, "Implementation and optimization of the thin-strut formalism in THREDE," IEEE Trans. Nuclear Sci., Vol. NS-6, 1625-1630, 1980.
doi:The server didn't respond in time.        Google Scholar

3. Holland, R., L. Simpson, and K. S. Kunz, "Finite difference analysis of EMP coupling to lossy dielectric structures," IEEE Trans. Electromagn. Compat., Vol. EMC-22, 203-209, 1980.
doi:        Google Scholar

4. Holland, R., "Finite-difference solution of Maxwell's equations in generalized nonorthogonal coordinates," IEEE Trans. Nuclear Science, Vol. NS-30, No. 6, 4589-4591, 1983.        Google Scholar

5. Holland, R., "Threds: A finite-difference time-domain EMP code in 3D spherical coordinates," IEEE Trans. Nuclear Science, Vol. NS-30, No. 6, 4592-4595, 1983.        Google Scholar

6. Ray, S. L., "New general grid finite difference time domain methods for Maxwell's equations in two dimensions," URSI Radio Science meeting, Syracuse, New York, 1988.        Google Scholar

7. Madsen, N. K. and R. W. Ziolkowski, "Numerical solution of Maxwell's equations in the time domain using irregular nonorthorgonal grids," Wave Motion, Vol. 10, 583-596, 1988.        Google Scholar

8. Ziolkowski, R., N. K. Madsen, and R. Carpenter, "Three dimensional computer modeling of electromagnetic fields: global lookback lattice truncation scheme," J. of Comp. Physics, Vol. 50, 360-408, 1983.        Google Scholar

9. McCartin, B., G. Meltz, R. Mittra, and L. Bahrmasel, "Application of the control region approximation in conjunction with absorbing boundary conditions to the direct solution of electromagnetic scattering problems," URSI Radio Science meeting, Vol. 14, Syracuse, New York, 1988.        Google Scholar

10. Meltz, G., B. McCartin, and L. Bahrmasel, "Application of the control region approximation to electromagnetic scattering," Proc. 1987 URSI Radio Science meeting, Vol. 185, Blacksburg, Virginia, 1987.        Google Scholar

11. McCartin, B. and J. Dicello, "Three dimensional finite difference frequency domain scattering computation using the control region approximation," IEEE Trans. Magnetics, 1989.        Google Scholar

12. 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. Ant. Prop., Vol. AP-33, 662-666, June 1985.        Google Scholar

13. Taflove, A. and M. Brodwin, "Numerical solution of steady-state electromagnetic scattering problems using the time dependent Maxwell's equations," IEEE Trans. Microwave Theory Tech., Vol. MTT-23, 623-630, Aug. 1975.        Google Scholar

14. Taflove, A. and K. R. Umashankar, "The finite-difference tirnedomain (FD-TD) method for electromagnetic scattering and interaction problems," J. of Electromagnetic Waves and Applications, Vol. 1, No. 3, 243-267, 1987.        Google Scholar

15. Luebbers, R. J., F. P. Hunsberger, and K. S. Kunz, "FD-TD formulation for frequency dependent permittivity," Proc. 1989 URSI Radio Science meeting, 50, San Jose, California, 1989.        Google Scholar

16. Lee, C. F., R. T. Shin, J. A. Kong, and B. McCartin, "A finite-difference time-domain technique on triangular grid,", to be published in J. of Electromagnetic Waves and Applications.        Google Scholar

17. Lee, C. F., R. T. Shin, J. A. Kong, and B. McCartin, "A finite difference time domain technique on triangular grids," PIERS 1989, Boston, MA., July 1989.        Google Scholar

18. McDonald, B. H. and A. Wexler, "Finite element solution of unbounded field problems," IEEE Trans. Microwave Theory Tech., Vol. MTT-20, 841-847, 1972.        Google Scholar

19. Morgan, M. and K. K. Mei, "Finite element computation of scattering by inhomogeneous penetrable bodies of revolution," IEEE Trans. Antennas Propagat., Vol. AP-27, 1979.        Google Scholar

20. Kashiwa, T., N. Yoshida, and I. Fukai, "Transient analysis of a magnetized plasma in three dimensional space," IEEE Trans. Ant. Prop., Vol. AP-36, 1096-1105, August 1988.        Google Scholar

21. Kunz, K. S. and K. 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. EMC-20, 328-333, 1978.        Google Scholar

22. Taflove, A. and M. Brodwin, "Computation of the electromagnetic fields and induced temperatures within a model of the microwave- irradiated human eye," IEEE Trans. Microwave Theory Tech., Vol. MTT-23, 888-896, Nov. 1975.        Google Scholar

23. Gandhi, O. P., "Numerical method for design of electromagnetic hyperthermia," PIERS 1989, Boston, MA., July 1989.        Google Scholar

24. Gwarek, W. K., "Analysis of arbitrarily shaped two-dimensional microwave circuits by finite-difference time-domain method," IEEE Trans., Vol. MTT-36, 738-744, 1988.        Google Scholar

25. Olivier, J. C. and D. A. McNamara, "Finite-difference time-domain (FD-TD ) analysis of discontinuities in homogeneous, dispersive waveguides," Electronic Letter, Vol. 25, No. 15, 1006-1007, 1989.        Google Scholar

26. Reineix, A. and B. Jecko, "Analysis of microstrip patch antennas using finite-difference time-domain method," IEEE. Trans. Ant. Prop., Vol. AP-37, No. 11, 1361-1369, 1989.        Google Scholar

27. Fusco, M., "FD-TD algorithm in curvilinear coordinates," IEEE. Trans. Ant. Prop., Vol. AP-38, No. 1, 76-89, 1990.        Google Scholar

28. Mei, K. K., "Unimoment method of solving antenna and scattering problems," IEEE. Trans. Ant. Prop., Vol. AP-22, No. 6, 760-766, 1974.        Google Scholar

29. Ting, L. and M. Miksis, "Exact boundary conditions for scattering problems," J. Acoust. Soc. Am., Vol. 80, No. 6, 1986.        Google Scholar

30. Engquist, B. and A. Majda, "Radiation boundary conditions for the numerical simulation of waves," Math. Comp., Vol. 31, 629-651, 1977.        Google Scholar

31. Majda, A. and S. Osher, "Reflection of singularities at the boundary," Comm. on Pure and Applied Math., Vol. 28, 479-499, 1975.        Google Scholar

32. Mur, G., "Absorbing boundary conditions for the finite difference approximation of the time domain electromagnetic field equations," IEEE Trans. Elec. Comp., Vol. EMC-23, Nov. 4, 1981.        Google Scholar

33. Bayliss, A. and E. Turkel, "Radiation boundary conditions for wave-like equations," Comm. Pure Appl. Math., Vol. 33, 707-725, 1980.        Google Scholar

34. Bayliss, A., C. Goldstein, and E. Turkel, "On accuracy conditions for the numerical computation of waves," J. Comp. Phys., Vol. 59, 396-404, 1985.        Google Scholar

35. Bayliss, A., M. Gunzburger, and E. Turkel, "Boundary condition for the numerical solution of elliptic equations in exterior regions," SIAM J. Applied Math., Vol. 12, 430-451, 1982.        Google Scholar

36. Blaschak, J. G. and G. A. Kriegsmann, "A comparative study of absorbing boundary conditions," J. Comput. Phys., Vol. 77, 109-139, 1988.        Google Scholar

37. Moore, T. G., J. G. Blaschak, and G. A. Kriegsmann, "Theory and application of radiation boundary operators," IEEE Trans. Ant. Prop., Vol. AP-36, 12, 1988.        Google Scholar

38. Lee, C. F., R. T. Shin, J. A. Kong, and B. McCartin, "Absorbing boundary conditions on circular and elliptical boundaries," PIERS 1989, Boston, MA., July 1989.        Google Scholar

39. Lee, C. F., R. T. Shin, J. A. Kong, and B. McCartin, "Absorbing boundary conditions on circular and elliptic boundaries," J. Electromagn. Wave and Appl., accepted for publication, 1989.        Google Scholar

40. Halpern, L. and L. Trefethen, "Wide angle one way wave equations," J. Acoust. Soc. Am., 1397-1404, 1986.        Google Scholar

41. Trefethen, L. N. and L. Halpern, "Well-posedness of one-way wave equations and absorbing boundary conditions," Math. Comput., Vol. 47, No. 176, 421-435, 1986.        Google Scholar

42. Ramahi, O. and R. Mittra, "A systematic approach to improving the solution based on the absorbing boundary condition," Proc. 1988 URSI Radio Science Meeting, Syracuse, New York, 1988.        Google Scholar

43. Higdon, R., "Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation," Math. Comp., Vol. 47, 437-459, 1986.        Google Scholar

44. Wagatha, L., "Approximation of pseudo-differential operators in absorbing boundary conditions for hyperbolic equations," Numerical Math., Vol. 42, 51-64, 1983.        Google Scholar

45. Lindman, E., "Free space boundary conditions for the time dependent wave equation," J. Comp. Physics, Vol. 18, 66-78, 1975.        Google Scholar

46. Bevensee, R. M., "Time domain radiation boundary conditions obtained from 'backward' solutions of the space time wave equation,", Lawrence Livermore National Laboratory Report, 1988.        Google Scholar

47. Kriegsmann, G. A. and C. Morawetz, "Solving the Helmholtz equation for exterior problems with variable index of reflection: I," SIAM J. Sci. Stat. Comput., Vol. 3, 371-375, 1980.        Google Scholar

48. Merewether, D., R. Fisher, and F. Smith, "On implementing a numeric Huygens' source scheme in a finite difference program to illuminate scattering bodies," IEEE Trans. Nuclear Sci., Vol. NS-27, 1829-1833, 1980.        Google Scholar

49. Roy, J. E., H. Dennis, and H. Choi, "A simple absorbing boundary algorithm for the FD-TD method with arbitrary incident angle," Proc. 1987 URSI Radio Science meeting, Vol. 54, San Jose, California, 1989.        Google Scholar

50. Kriegsmann, G., A. Taflove, and K. R. Umashankar, "A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach," IEEE Trans. Ant. Prop., Vol. AP-35, 153-161, 1987.        Google Scholar

51. Wilcox, C., "An expansion theorem for electromagnetic fields," Comm. on Pure and Applied Math., Vol. 9, 115-134, 1956.        Google Scholar

52. Friedrichs, K. O., "Pseudo-Differential Operators: An Introduction,", Courant Institute of Mathematical Sciences, New York University.        Google Scholar

53. Nirenberg, L., "Lectures on Linear Partial Differential Equations,", Vol. 17, Regional Conference Series in Mathematics.        Google Scholar

54. Kumano-go, Hitoshi, "Pseudo-differential operators,", The M.I.T. press, Cambridge, Massachusetts, and London, England, 1974.        Google Scholar

55. Morawetz, C. and G. Kriegsmann, "The calculations of an inverse potential problem," SIAM J. Applied Math., Vol. 43, 844-854, 1983.        Google Scholar

56. Morawetz, S. and G. A. Kriegsmann, "The calculations of an inverse potential problem," SIAM J. Applied Math., Vol. 43, 844-854, 1983.        Google Scholar

57. Chang, I., "Plane electromagnetic wave scattering from coated cylinders,", M.S. Thesis, MIT, 1989.        Google Scholar

58. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. AP-30, 409-418, 1982.        Google Scholar

59. Lee, C. F., R. T. Shin, J. A. Kong, and E. B. Smith, "Application of FD-TD technique to frequency dispersive materials,", to be published in J. of Electromagnetic Waves and Applications.        Google Scholar

60. Kong, J. A., Electromagnetic Wave Theory, Wiley-Interscience, New York, 1986.

61. Chu, S. and S. Wong, "Linear pulse propagation in an absorbing medium," Physical Reveiw Letters, Vol. 48, No. 11, 738-1293, 1982.        Google Scholar

62. Boll, R., Soft magnetic materiald for telecommunication, Heyden, London, 1979.

63. Smit, J., Magnetic properties of material, McGraw Hill, New York, 1971.