Comparison of three integral formulations for the 2-D TE scattering problem

The source of scattering problems found when computing the internal field distribution in the transverse electric (TE) polarization case for 2-D objects is analyzed. It is shown that a modification introduced in a previous study is not required if an appropriate integral formulation is used. Such a formulation is proposed using generalized functions, and it is compared numerically to several other formulations for inhomogeneous dissipative cylinders whose electromagnetic parameters are close to those of biological tissues. The solution associated with this integral formulation appears to behave better than the others, in comparison with the exact analytical solutions. >

[1]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[2]  E. Murphy,et al.  The computation of electromagnetic scattering from concentric spherical structures , 1963 .

[3]  J. Richmond,et al.  TE-wave scattering by a dielectric cylinder of arbitrary cross-section shape , 1966 .

[4]  Kun-mu Chen,et al.  Electromagnetic Fields Induced Inside Arbitrarily Shaped Biological Bodies , 1974 .

[5]  J. Richmond,et al.  Scattering by a lossy dielectric circular cylindrical multilayer numerical values , 1975 .

[6]  C. Durney,et al.  Numerical calculations of low‐frequency TE fields in arbitrarily shaped inhomogeneous lossy dielectric cylinders , 1983 .

[7]  Magdy F. Iskander,et al.  Limitations of the Cubical Block Model of Man in Calculating SAR Distributions , 1984 .

[8]  D. Lesselier,et al.  Iterative Solution of Some Direct and Inverse Problems in Electromagnetics and Acoustics , 1985 .

[9]  M. J. Hagmann Limitations of the Cubical Block Model of Man in Calculating SAR Distributions (Comments) , 1985 .

[10]  O. P. Gandhi,et al.  Calculation of High-Resolution SAR Distributions in Biological Bodies Using the FFT Algorithm and Conjugate Gradient Method (Short Papers) , 1985 .

[11]  T. Sarkar,et al.  Comments on "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies" , 1986 .

[12]  Ching-Chuan Su A simple evaluation of some principal value integrals for dyadic Green's function using symmetry property , 1987 .

[13]  Raj Mittra,et al.  Some recent developments in iterative techniques for solving electromagnetic boundary value problems , 1987 .

[14]  Om P. Gandhi,et al.  Comparison of the FFT Conjugate Gradient Method and the Finite-Difference Time-Domain Method for the 2-D Absorption Problem , 1987 .