A discrete BCG-FFT algorithm for solving 3D inhomogeneous scatterer problems

References

• Goggans , P. M. , Kishk , A. A. and Glisson , A. W. 1994 . Electromagnetic scattering from objects composed of multiple homogeneous regions using a region-by-region solution . IEEE Transactions On Antennas and Propagation , 42 ( No. 6 ) : 865 – 871 .
   Google Scholar
• Graglia , R. D. , Uslenghi , P. L. E. and Zich , R. S. 1989 . Moments method with isoparametric elements for three-dimensional anisotropic scatterers . Proc. IEEE , 5 ( No. 77 ) : 750 – 760 .
   Google Scholar
• Jarem , J. M. 1986 . Method-of-moments of a parallel-plate waveguide aperture system . Journal of Applied Physics , 59 ( No. 5 ) : 3566 – 3570 .
   Google Scholar
• Chew , W. C. 1990 . Waves and Fields in Inhomogeneous Media , New York : Van Nostrand Reinhold .
   Google Scholar
• Golub , G. and Ortega. , J. M. 1993 . Scientific Computing: An Introduction with Parallel Computing , New York : Academic Press, INC .
   Google Scholar
• Hestenes , M. R. and Stiefel , E. 1952 . Methods and conjugate gradients for solving linear systems . J. Res. Nat. Bur. Stand. , 49 : 409 – 436 .
   Google Scholar
• Chew , W. C. , Lu , C. C. and Wang , Y. M. 1994 . Efficient computation of threedimensional scattering of vector electromagnetic waves . J. Opt. Soc. Am. A , 11 ( No. 4 ) : 1 – 9 . Forthcoming
   Google Scholar
• Catedra , M. F. , Gago , E. and Nuno , L. 1989 . A numerical scheme to obtain the rcs of three-dimensional bodies of size using the conjugate gradient method and the fast fourier transform . IEEE Transactions On Antennas and Propagation , 5 ( No. 37 ) : 528 – 537 .
   Google Scholar
• Shen , C. Y. , Glover , K. J. , Sancer , M. I. and Varvatsis , A. D. 1989 . The discrete Fourier transform method of solving differential-integral equations in scattering theory . IEEE Transactions On Antenna and Propagation , 8 ( No. 37 ) : 1032 – 1041 .
   Google Scholar
• Zwamborn , P. and van den Berg , P. M. 1992 . The three-dimensional week form of the conjugate gradient FFT method for solving scattering problems . IEEE Transactions On Microwave Theory and Techniques , 9 ( No. 40 ) : 1757 – 1766 .
   Google Scholar
• B , Z. S. and Leviatan , Y. 1993 . On the use of wavelet expansions in the methods of moments . IEEE Transactions On Antennas and Propagation , 5 ( No. 41 ) : 610 – 619 .
   Google Scholar
• Wagner , R. L. , Otto , G. P. and Chew , W. C. 1993 . Fast waveguide mode computation using wavelet-like basis functions . IEEE Microwave and Guided Wave Letters , 7 ( No. 3 ) : 208 – 210 .
   Google Scholar
• Borup , D. T. and Gandhi , O. P. 1984 . Fast-Fourier transform method for calculation of SAR distributions in finely discretized inhomogeneous models of biological bodies . IEEE Transactions On Microwave Theory and Techniques , 32 ( No. 4 )
   Google Scholar
• Catedra , M. F. 1986 . Solution to some electromagnetic problems using fast Fourier transform with conjugate gradient method . Electron Letter , 22 ( No. 9 ) : 1049 – 1051 .
   Google Scholar
• Peterson , A. F. and Mittra , R. 1985 . Method of conjugate gradient for the numerical solution of large-body electromagnetic scattering problems . J. Opt. Soc. Am , 2 ( No. 6 ) : 971 – 977 .
   Google Scholar
• Sarkar , T. K. , Arvas , E. and Rao , S. M. 1986 . Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies . IEEE Transactions On Antennas and Propagation , 34 : 635 – 639 .
   Web of Science ®Google Scholar
• Catedra , M. F. and Cuevas , J. G. 1988 . A scheme to analyze conducting plates of resonant size using the conjugate gradient method and the fast Fourier transform . IEEE Transactions On Antennas and Propagation , 36 ( No. 12 ) : 1744 – 1752 .
   Google Scholar
• Liu , Q. H. and Chew , W. C. 1994 . Application of the conjugate gradient fast Fourier Hankel transfer method with an improved fast Hankel transform algorithm . Radio Science , 9 ( No. 4 ) : 1009 – 1022 .
   Google Scholar
• Elliot , D. F. and Rao , K. R. 1982 . Fast Transforms, Algorithms, Analyses, Applications , New York : Academic .
   Google Scholar
• Proakis , J. G. and Manolakis , D. G. 1992 . Digital Signal Processing: Principles, Algorithm, and Applications , 2 ed. , New York : Macmillan Publishing Company .
   Google Scholar
• Sarkar , T. K. 1987 . On the application of the generalized biconjugate gradient method . J. of Electromagnetic Waves and Application , 1 ( No. 3 ) : 223 – 242 .
   Google Scholar
• Balanis , C. A. 1989 . Advanced Engineering Electromagnetics , New York : Wiley .
   Google Scholar