A Selective Survey of Computational Electromagnetics

IEEE Transactions on Antennas and Propagation

Volumn 36, Issue 9, 1988, Pages 1281-1305

  Miller, Edmund K ^a  

^a ROCKWELL SCIENCE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING; MATHEMATICAL TECHNIQUES--NUMERICAL ANALYSIS;

ELECTROMAGNETICS; ERROR CHECKING;

ELECTROMAGNETIC FIELDS;

EID: 0024067824     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.8607     Document Type: Article

References (92)

1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Applied Mathematics Series, vol. 55. Washington, DC: Nat. Bur. Standards, 1964.
2. F. C. Acton, Numerical Methods that Work. New York: Harper and Row, 1970.
3. M. G. Andreason, “Scattering from bodies of revolution”, IEEE Trans. Antennas Propagat., vol. AP-13, pp. 303–310, 1965 ‘correction, ibid., 659, Sept. 1966’.
4. B. W. Arden and K. N. Astill, Numerical Algorithms: Origins and Applications. Reading, MA: Addison-Wesley, 1970.
5. A. Banos, Diple Radiation in the Presence of a Conducting Half-Space. New York: Pergamon, 1966.
6. C. L. Bennett and W. L. Weeks, “Transient scattering from conducting cylinders”, IEEE Trans. Antennas Propagat., vol. AP-18, pp. 627–633, 1970.
7. R. R. Bitmead and B. D. O. Anderson, “Asymptotically fast solution of Toeplitz and related systems of linear equations”, Linear Algebra Appl., vol. 34, pp. 103–115, 1980.
8. N. N. Bojarski, “A”-space formulation of the acoustic scattering problem”, in Proc. Acoustical Soc. of Amer. Symp., Miami, FL, 1972, p. 102.
9. J. M. Bornholdt and L. N. Medgyesi-Mitschang, “Mixed domain Galerkin expansions in electromagnetic problems”, in Proc. National Radio Science Meeting, Boulder, CO, 1986, p. 170.
10. J. N. Brittingham, E. K. Miller, and J. T. Okada, “A bivariate interpolation approach for efficiently and accurately modeling antennas near a half space”, Electron Lett., vol. 13, pp. 690–691, 1977.
11. O. M. Bucci, G. D'Elia, G. Francschetti, and R. Pierri, “Efficient computation of the far field of parabolic reflectors by pseudo-sampling algorithm”, IEEE Trans. Antennas Propagat., vol. AP-31, pp. 931937, 1983.
12. G. J. Burke and A. J. Poggio, “Numerical electromagnetics code ‘NEC’-Method of moments Parts I, II, and III”, Naval Ocean Systems Center, San Diego, CA, NOSC TD 116 ‘revised’, 1980.
13. G. J. Burke and E. K. Miller, “Modeling antennas near to and penetrating a lossy interface”, IEEE Trans. Antennas Propagat., vol. AP-32, 1040-1049, 1984.
14. G. J. Burke and E. K. Miller, “A comparison of several methods for evaluating the field of asource near an interface”, presented at the South African Institute of Electrical Engineers, Joint Symp. on Antennas and Propagation and Microwave Theory and Techniques, Pretoria, SA, 1986.
15. W. D. Burnside and P. H. Pathak, “A summary of hybrid solutions involving moment methods and GTD”, in Applications of the Method of Moments to Electromagnetic Fields, B. J. Strait, Ed. St. Cloud, FL: SCEEE Press, 1980.
16. M. F. Catedra, J. G. Cuevas, and L. Nono, “A scheme to analyze conducting problems of resonant size using the conjugategradient method and the fast Fourier transform”, presented at NATO Advanced Study Institute on Modeling and Measurement in Analysis and Synthesis Problems, II Ciocco, Italy, August, 1987 ‘to appear in proceedings published by Sijthoff & Noordhoff, The Netherlands’.
17. H. H. Chao and B. J. Strait, “Radiation and scattering by configurations of bent wires with junctions”, IEEE Trans. Antennas Propagat., vol. AP-19, pp. 701–702, 1971.
18. P. D. Einziger and L. B. Felsen, “Rigorous asymptotic analysis of transmission through a curved dielectric slab”, IEEE Trans. Antennas Propagat., vol. AP-31, pp. 863–870, 1983.
19. T. R. Ferguson, T. H. Lehman, and R. J. Balestri, “Efficient solution of large moments problems: Theory and small problems results”, IEEE Trans. Antennas Propagat., vol. AP-24, pp. 230–235, 1976.
20. A. W. Glisson and D. R. Wilton, “Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces”, IEEE Trans. Antennas Propagat., vol. AP-28, pp. 593603, 1980.
21. F. G. Gustavson and D. Y. Y. Yun, “Fast algorithms for rational Her-mite approximation and solution of Toeplitz systems”, IEEE Trans. Circuits Syst., vol. IT-18, pp. 725–730, 1979.
22. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
23. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
24. R. F. Harrington and J. R. Mautz, “An impedance sheet approximation for thin dielectric shells”, IEEE Trans. Antennas Propagat., vol. AP-23, pp. 531–534, 1975.
25. R. F. Harrington, “Origin and development of the method of moments for field computation”, in Applications of the Method of Moments to Electromagnetic Fields, B.J. Strait, Ed. St. Cloud, FL: SCEEE Press, 1980, ch. 1.
26. R. F. Harrington, D. R. Wilton, C. M. Butler, R. Mittra, and C. L. Bennett, Computational Methods in Electromagnetics. St. Cloud, FL: SCEEE Press, 1981.
27. N. Inagaki and R. J. Garbacz, “Eigenfunctions of composite Her-mitian operators with application to discrete and continuous radiating systems”, IEEE Trans. Antennas Propagat., vol. AP-30, pp. 575575, 1982 ‘correction, ibid., p. !!1268, Nov. 1982’.
28. T. Itho, “An overview on numerical techniques for modeling miniaturized passive components”, Ann. Telecommun., vol. 41, pp. 449462, 1986.
29. A. K. Jain, “Fast inversion of banded Toeplitz matrices by circular decompositions”, IEEE Trans. Acoust., Speech, Sig. proc., vol. ASSP-26, pp. 121–125, 1978.
30. S. K. Jeng and C. H. Chen, “On variational electromagnetics: Theory and application”, IEEE Trans. Antennas Propagat., vol. AP-32, pp. 902–907, 1984.
31. R. Kastner and R. Mittra, “A spectral-iteration technique for analyzing scattering from arbitrary bodies-I: Cylindrical scatterers with E-wave incidence”, IEEE Trans. Antennas Propagat., vol. AP-31, pp. 499–506, 1983.
32. R. Kastner and R. Mittra, “A spectral-iteration technique for analyzing scattering fromarbitrary bodies-II: Cylindrical scatters with H-wave incidence”, IEEE Trans. Antennas Propagat., vol. AP-31, pp. 535–537, 1983.
33. M. A. Leontovich, Investigations on Radiowave Propagation, Part II. Moscow: Academy of Sciences, 1948.
34. I. V. Lindell, E. Alanen, and K. Mannersalo, “Exact image method of impedance computation of antennas above the ground”, IEEE Trans. Antennas Propagat., vol. AP33, pp. 937–945, 1985.
35. W. S. Lucke, “Electric dipoles in the presence of elliptic and circular cylinders”, J. Appl. Phys., vol. 22, pp. 14–19, 1951.
36. R. J. Lytle, “farfield patterns of point sources operated in the presence of dielectric circular cylinders”, IEEE Trans. Antennas Propagat., vol. AP-19, pp. 618–621, 1971.
37. J. L. Mason and W. J. Anderson, “Finite element solution for electromagnetic scattering from two-dimensional bodies”, Int. J. Numer. Meth. Eng., vol. 21, pp. 909–928, 1985.
38. A. W. Maue, “The formulation of a general diffraction problem by an integral equation”, Z. Phys., vol. 126, pp. 602–618, 1949.
39. J. R. Mautz and R. F. Harrington, “Radiation and scattering from bodies of revolution”, Appl. Sci. Res., vol. 20, pp. 405–435, 1969.
40. J. R. Mautz and R. F. Harrington, “H-field, E-field, and combined-field solutions for conductingbodies of revolution”, Arch. Elek. Ubertragung, vol. 32, pp. 157164, 1978.
41. L. N. Medgyesi-Mitschang and J. M. Putnam, “Scattering from finite bodies of translation: plates, curved surfaces, and noncircular cylinders”, IEEE Trans. Antennas Propagat., vol. AP-31, pp. 847–852, 1983.
42. L. N. Medgyesi-Mitschang and J. M. Putnam “Electromagnetic scattering from extended wires and two- andthree-dimensional surfaces, IEEE Trans. Antennas Propagat., vol. AP-33, pp. 1090–1100, 1985.
43. K. K. Mei, “On the integral equations of thin wire antennas”, IEEE Trans. Antennas Propagat., vol. AP-13, pp. 374–378, 1965.
44. K. K. Mei, “Unimoment method of solving antenna and scattering problems”, IEEE Trans. Antennas Propagat., vol. AP-22, pp. 760–766, 1974.
45. H. Mieras and C. L. Bennett, “Space-time integral equation approach to dielectric targets”, IEEE Trans. Antennas Propagat., vol. AP-30, pp. 2–9, 1982.
46. E. K. Miller and A. Olte, “Excitation of surface currents on a plasma-immersed cylinder by electromagnetic and electrokinetic waves. II. The inhomogeneous sheath”, Radio Sci., vol. 1, pp. 1425–1433, 1966.
47. E. K. Miller, G. J. Burke, and E. S. Selden, “Accuracy-modeling guidelines for integral-equation evaluation of thin-wire scattering structures”, IEEE Trans. Antennas Propagat., vol. AP-19, pp. 534536, 1971.
48. E. K. Miller, A. J. Poggio, G. J. Burke, and E. S. Selden, “Analysis of wire antennas in the presence of a conducting half-space. Part I. The vertical antenna in free space”, Can. J. Phys., vol. 50, pp. 879–888, 1972.
49. E. K. Miller, A. J. Poggio, G. J. Burke, and E. S. Selden, “Analysis of wire antennas in the presence of a conducting half-space. Part II. The horizontal antenna in free space”, Can. J. Phys., vol. 50, pp. 2614–2627, 1972.
50. E. K. Miller and F. J. Deadrick, “Some computational aspects of thin-wire modeling”, in Numerical and Asymptotic Techniques in Electromagnetics, R. Mittra, Ed. New York: Springer Verlag, 1975, ch. 4, pp. 89-127.
51. E. K. Miller and D. L. Lager, “Radiation field analysis and synthesis using Prony's method”, Electron. Lett., vol. 14, p. 180, 1978.
52. E. K. Miller, “Wires and wire grid models for radiation and scattering including ground effects”, in Theoretical Methods for Determining the Interaction of Electromagnetic Waves with Structures, J. K. Skwirzynski, Ed. The Netherlands: Sijthoff & Noordhoff, 1981.
53. E. K. Miller, “Imaging of linear source distributions”, Electromagn., vol. 3, pp. 21–40, 1983.
54. K. M. Mitzner, “An integral equation approach to scattering from a body of finite conductivity”, Radio Sci., vol. 2, pp. 1459–1470, 1967.
55. R. Mittra, Ed., Computer Techniques for Electromagnetics. New York: Pergamon, 1973.
56. R. Mittra, Ed., Numerical and Asymptotic Techniques in Electromagnetics. New York: Springer Verlag, 1975.
57. R. Mittra and R. Kastner, “A spectral domain approach for computing the radiation characteristics of a leaky-wave antenna for millimeter waves”, IEEE Trans. Antennas Propagat., vol. AP-29, pp. 652654, 1981.
58. J. Moore and R. Pizer, Moment Methods in Electromagnetics: Techniques and Applications. New York: Wiley, 1984.
59. M. M. Ney, “Method of moments as applied to electromagnetic problems”, IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 972–1980, 1985.
60. F. K. Oshiro, “Source distribution techniques for the solution of general electromagnetic scattering problems”, in Proc. First GISAT Symp. Mitre Corp., vol. 1, pp. 83–107, 1965.
61. F. K. Oshiro and K. M. Mitzner, “Digital computer solution of three-dimensional scattering problems”, in Proc. IEEE Int. Antennas Propagat. Symp., Ann Arbor, MI, 1967, pp. 257-263.
62. P. H. Pathak, “On the eigenfunction expansion of electromagnetic dyadic Green's functions”, IEEE Trans. Antennas Propagat., vol. AP-32, pp. 837–846, 1983.
63. J. Perine and D. J. Buchanan, “Assessment of MoM techniques for shipboard applications”, IEEE Trans. Electromagn. Compat., vol. EMC-24, pp. 32–39, 1982.
64. A. J. Poggio and E. K. Miller, “Integral equation solutions of three-dimensional scattering problems”, in Computer Techniques for Electromagnetics, R. Mittra Ed. New York: Pergamon, 1973, ch. 4.
65. A. J. Poggio and E. K. Miller, “Low frequency analytical and numerical methods for antennas”, in Antenna Handbook, Y. T. Lo and S. W. Lee, Eds. New York: Van Nostrand Reinhold, 1988.
66. B. D. Popovic, M. B. Dragovic, and A. R. Djordjevic, Analysis and Synthesis of Wire Antennas. Letchworth, Hertfordshire, England: Research Studies press, 1982.
67. W. H. Press, B. R. Flannery, S. A. Teukolsky, and W. T. Vettering, Numerical Recipes. London: Cambridge Univ. Press, 1986.
68. J. H. Richmond, “Digital computer solutions of the rigorous equations for scattering problems”, Proc. IEEE, vol. 53, pp. 796–804, 1965.
69. J. H. Richmond, “A wire-grid model for scattering by conducting bodies”, IEEETrans. Antennas Propagat., vol. AP-14, pp. 783–786, 1966.
70. J. H. Richmond, “Radiation and scattering by thin-wire structures in a homogeneous, conducting medium”, IEEE Trans. Antennas Propagat., vol. AP-22, p. 365, 1974.
71. S. M. Rytov, J. Exp. Theor. Phys. USSR, vol. 10, no. 2, p. 180, 1940 ‘in Russian’.
72. T. K. Sarkar and S. M. Rao, “The application of the conjugate gradient method for the solution of electromagnetic scattering from arbitrarily oriented wire antennas”, IEEE Trans. Antennas Propagat., vol. AP-32, no. 4, pp. 398–403, 1984.
73. T. K. Sarkar, “The conjugategradient technique as applied to electromagnetic field problems”, IEEE AP-S Newsletter, vol. 28, no. 4, pp. 5–14, 1986.
74. T. K. Sarkar, E. Arvas, and S. M. Rao, “Applications of FFT and conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies”, IEEE Trans. Antennas Propagat., vol. AP-33, pp. 635–640, 1986.
75. D. H. Schaubert, D. R. Wilton, and A. W. Glisson, “A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies”, IEEE Trans. Antennas Propagat., vol. AP-32, pp. 77–85, 1984.
76. T. B. A. Senior, “Impedance boundary conditions for imperfectly conducting surfaces”, Appl. Sci. Res., vol. 8‘B’, pp. 418–436, 1960.
77. T. B. A. Senior, “Approximate boundary conditions”, IEEE Trans. AntennasPropagat., vol. AP-29, pp. 826–829, 1981.
78. B. J. Strait, Ed., Applications of the Method of Moments to Electromagnetic Fields. St. Cloud, FL: SCEEE Press, 1980.
79. B. J. Strait and A. T. Adams, “On contributions at Syracuse University to the moment methods”, IEEE Trans. Electromagn. Compat., vol. EMC-22, pp. 228–237, 1980.
80. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941.
81. W. L. Stutzman and G. A. Thiele, Antenna Theory and Design. New York: Wiley, 1981.
82. A. Taflove and K. Umashankar, “A hybrid moment method/finite difference time domain approach to electromagnetic coupling and aperture penetration in complex geometries, inn Applications of the Method of Moments to Electromagnetic Fields, B. J. Strait, Ed. St. Cloud, FL: SCEEE Press, 1980.
83. F. M. Tesche and A. R. Neureuther, “Radiation patterns for two monopoles on a perfectly conducting sphere”, IEEE Trans. Antennas Propagat., vol. AP-18, pp. 692–294, 1970.
84. F. M. Tesche, “On the behavior of thin-wire antennas and scatterers arbitrarily located within a parallel-plate region”, IEEE Trans. Antennas Propagat., vol. AP-20, pp. 482–486, 1972.
85. G. A. Thiele and T. H. Newhouse, “A hybrid technique for combining moment methods with the geometrical theory of diffraction”, IEEE Trans. Antennas Propagat., vol. AP-17, pp. 62–69, 1969.
86. P. L. E. Uslenghi, Ed., Electromagnetic Scattering. New York: Academic, 1980.
87. “Electromagnetic phenomena”, in Van Nostrand Scientific Encyclopedia, 5th ed. Princeton, NJ: Van Nostrand, 1976, pp. 919-923.
88. P. F. Wacker, “Unified theory of nearfield analysis and measurement: Scattering and inverse scattering”, IEEE Trans. Antennas Propagat., vol. AP-29, pp. 342, 251, 1981.
89. G. A. Watson, “An algorithm for the inversion of block matrices of Toeplitz form”, J. Assoc. Comput. Mach., vol. 20, pp. 409–415, 1973.
90. D. R. Wilton and C. M. Butler, “Efficient numerical techniques for solving Pocklington's equation and their relationships to other methods”, IEEE Trans. Antennas Propagat., vol. AP-24, pp. 83–86, 1976.
91. D. R. Wilton and C. M. Butler, “Effective methods for solving integral and integro-differential equations”, Electromagnetics, vol. 1, 1981
92. D. T. Wu and D. C. Chang, “Current distribution on a thin wire in arectangular cavity”, presented at the National Radio Science Meeting, Boulder, CO, 1980.