A Comparison of Integral, Differential and Hybrid Methods for TE-Wave Scattering from Inhomogeneous Dielectric Cylinders

References

• Richmond , J. H. 1965 . Scattering from a dielectric cylinder of arbitrary cross section shape . IEEE Trans. Antennas Propagat. , AP-13 May : 334 – 341 .
   Web of Science ®Google Scholar
• Richmond , J. H. 1966 . TE-wave scattering from a dielectric cylinder of arbitrary cross section shape . IEEE Trans. Antennas Propagat. , AP-14 July : 460 – 464 .
   Web of Science ®Google Scholar
• Livesay , D. E. and Chen , K. M. 1974 . Electromagnetic fields induced inside arbitrarily shaped biological bodies . IEEE Trans. Microwave Theory Tech. , MTT-22 Dec. : 1273 – 1280 .
   Web of Science ®Google Scholar
• Al-Bundak , O. M. 1983 . Electromagnetic scattering of arbitrarily shaped inhomogeneous cylinders whose cross-sections are modeled by triangular patches , University , MS : University of Mississippi . M.S. Thesis
   Google Scholar
• Hill , S. C. , Durney , C. H. and Christensen , D. A. 1983 . Numerical calculations of low- frequency TE fields in arbitrarily shaped inhomogeneous lossy dielectric cylinders . Radio Science , 18 May : 328 – 336 .
   Web of Science ®Google Scholar
• Izadian , J. Z. 1983 . Two-dimensional EM-scattering by buried penetrable noncircular cylinders using the method of moments , Columbus , OH : Ohio State University . Ph.D. Dissertation
   Google Scholar
• Schaubert , D. H. , Wilton , D. R. and Glisson , A. W. 1984 . A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bod- ies . IEEE Trans. Antennas Propagat. , AP-32 Jan. : 77 – 85 .
   Web of Science ®Google Scholar
• Tsai , C. T. , Massoudi , H. , Durney , C. H. and Iskander , M. F. 1986 . A procedure for calculating fields inside arbitrarily shaped, inhomogeneous dielectric bodies using linear basis functions with the moment method . IEEE Trans. Microwave Theory Tech. , MTT-34 Nov. : 1131 – 1139 .
   Google Scholar
• Spiegel , R. J. 1984 . A review of numerical models for predicting the energy deposition and resultant thermal response of humans exposed to electromagnetic fields . IEEE Trans. Microwave Theory Tech. , MTT-32 Aug. : 730 – 746 .
   Web of Science ®Google Scholar
• Massoudi , H. , Durney , C. H. and Iskander , M. F. 1984 . Limitations of the cubical block model of man in calculating SAR distributions . IEEE Trans. Microwave Theory Tech. , MTT-32 Aug. : 746 – 751 .
   Web of Science ®Google Scholar
• Hagmann , M. J. 1985 . Comments on limitations of the cubial block model of man in calculating SAR distributions . IEEE Trans. Microwave Theory Tech. , MTT- 33 April : 347 – 350 .
   Google Scholar
• Hagmann , M. J. and Levin , R. L. 1987 . Criteria for accurate usage of block models . J. Microwave Power , 22 Jan. : 19 – 27 .
   Google Scholar
• Borup , D. T. , Sullivan , D. M. and Gandhi , O. P. 1987 . Comparison of the FFT conjugate gradient method and the finite-difference time-domain method for 2-D absorption problem . IEEE Trans. Microwave Theory Tech. , MTT-35 April : 383 – 395 .
   Web of Science ®Google Scholar
• Wu , T. K. and Tsai , L. L. 1977 . Scattering by arbitrarily cross-sectioned layered lossy dielectric cylinders . IEEE Trans. Antennas Propagat. , AP-25 July : 518 – 524 .
   Google Scholar
• Umashankar , K. , Taflove , A. and Rao , S. M. 1986 . Electromagnetic scattering by arbi- trarily shaped three-dimensional homogeneous lossy dielectric objects . IEEE Trans. Antennas Propagat. , AP-34 June : 758 – 766 .
   Web of Science ®Google Scholar
• Barber , P. W. 1977 . Resonance electromagnetic absorption by nonspherical dielectric objects . IEEE Trans. Microwave Theory Tech. , MTT-25 May : 373 – 381 .
   Google Scholar
• Taflove , A. and Umashankar , K. R. 1985 . Comment on Fast-Fourier Transform method for calculation of SAR distributions in finely discretized inhomogeneous models of biological bodies . IEEE Trans. Microwave Theory Tech. , MTT-33 April : 345 – 346 .
   Google Scholar
• McDonald , B. H. and Wexler , A. 1972 . Finite-element solution of unbounded field prob- lems . IEEE Trans. Microwave Theory Tech. , MTT-20 Dec. : 841 – 847 .
   Web of Science ®Google Scholar
• Csendes , Z. J. 1976 . A note on the finite-element solution of exterior-field problems . IEEE Trans. Microwave Theory Tech. , MTT-24 July : 468 – 473 .
   Google Scholar
• Marin , S. P. 1982 . Computing scattering amplitudes for arbitrary cylinders under inci- dent plane waves . IEEE Trans. Antennas Propagat. , AP-30 Nov. : 1045 – 1049 .
   Web of Science ®Google Scholar
• Gong , Z. 1985 . A hybrid equation approach for the solution of electromagnetic scatter- ing problems involving arbitrarily shaped inhomogeneous dielectric bodies , University , MS : University of Mississippi . Ph.D. Dissertation
   Google Scholar
• Morgan , M. A. and Welch , B. E. 1986 . The field feedback formulation for electromagnetic scattering computations . IEEE Trans. Antennas Propagat. , AP-34 Dec. : 1377 – 1382 .
   Google Scholar
• Chang , S. K. and Mei , K. K. 1976 . Application of the unimoment method to electro- magnetic scattering by dielectric cylinders . IEEE Trans. Antennas Propagat. , AP-24 Jan. : 35 – 42 .
   Web of Science ®Google Scholar
• Morgan , M. A. and Mei , K. K. 1979 . Finite-element computation of scattering by inho- mogeneous penetrable bodies of revolution . IEEE Trans. Antennas Propagat. , AP-27 Mar. : 202 – 214 .
   Web of Science ®Google Scholar
• Jeng , S. K. and Chen , C. H. 1984 . On variational electromagnetics: Theory and appli- cation . IEEE Trans. Antennas Propagat. , AP-32 Sept. : 902 – 907 .
   Web of Science ®Google Scholar
• Wu , R. B. and Chen , C. H. 1986 . Variational reaction formulation of scattering problem for anisotropic dielectric cylinders . IEEE Trans. Antennas Propagat. , AP-34 May : 640 – 645 .
   Google Scholar
• Engquist , B. and Majda , A. 1977 . Absorbing boundary conditions for the numerical simulation of waves . Math. Comp. , 31 : 629 – 651 .
   Web of Science ®Google Scholar
• Bayliss , A. and Turkel , E. 1980 . Radiation boundary conditions for wave-like equations . Comm. Pure App. Math. , 33 : 707 – 725 .
   Web of Science ®Google Scholar
• George , A. and Liu , J. W. 1981 . Computer Solution of Large Sparse Positive Definite Systems , Prentice-Hall : Englewood Cliffs .
   Google Scholar
• Peterson , A. F. June 1987 . “ A comparison of the volume MFIE and unimoment methods for TE scattering from lossy, inhomogeneous dielectric cylinders ” . In Digest of the 1987 IEEE Antennas and Propagation Society International Symposium June , 1118 – 1121 . Blacksburg , VA
   Google Scholar
• Peterson , A. F. and Klock , P. W. 1988 . An improved MFIE formulation for TE wave scattering from lossy, inhomogeneous dielectric "cylinders . IEEE Trans. Antennas Propagat. , AP-36 Jan. : 45 – 49 .
   Web of Science ®Google Scholar
• Kong , J. A. 1986 . Electromagnetic Wave Theory , New York : Wiley .
   Google Scholar
• Mason , J. L. 1982 . Finite-element solution for EM scattering from two-dimensional bodies," Ph.D. Dissertation , Ann Arbor , MI : University of Michigan .
   Google Scholar
• Wilcox , C. H. 1956 . An expansion theorem for electromagnetic fields . Comm. Pure Applied Math. , 9 : 115 – 134 .
   Web of Science ®Google Scholar
• Reddy , J. N. 1984 . An Introduction to the Finite Element Method , New York : McGraw-Hill .
   Google Scholar
• Silvester , P. P. and Ferrari , R. L. 1983 . Finite Elements for Electrical Engineers , Cambridge : Cambridge University Press .
   Google Scholar
• Irons , B. M. 1970 . A frontal solution program for finite element analysis . Int. J. Numerical Methods in Engineering , 2 : 5 – 32 .
   Google Scholar
• Peterson , A. F. and Mittra , R. 1987 . Iterative-based computational methods for elec- tromagnetic scattering from individual or periodic structures . IEEE J. Oceanic Engineering , OE-12 April : 458 – 465 .
   Web of Science ®Google Scholar
• Gibbs , N. E. , Poole , W. G. and Stockmeyer , P. K. 1976 . An algorithm for reducing the bandwidth and profile of a sparse matrix . SIAM J. Numerical Analysis , 13 April
   Google Scholar
• Puttonen , J. 1983 . Simple and effective bandwidth reduction algorithm . Int. J. Numerical Methods in Engineering , 19 : 1139 – 1152 .
   Google Scholar
• 1984 . PATRAN User's Guide , Santa Ana , CA : PDA Engineering .
   Google Scholar
• Peterson , A. F. Sept. 1987 . “ Eigenvalue projection theory for linear operator equations of elec- tromagnetics ” . In Coordinated Science Lab. Tech. Rep , Sept. , Urbana , IL : Univer- sity of Illinois . UILU-ENG-87-2252
   Google Scholar
• Mittra , R. and Klein , C. A. 1975 . “ Stability and convergence of moment method solutions ” . In Numerical and Asymptotic Techniques in Electromagnetics , Edited by: Mittra. , R. New York : Springer-Verlag .
   Google Scholar