Matrix methods in potential theory and electromagnetic scattering

Employing a conserved‐flux concept, the T‐matrix equations describing boundary‐value problems of potential theory and electromagnetic scattering are obtained without recourse to the Huygens principle or physically fictitious fields. For scattering by dielectric objects, tangential electric and magnetic fields on the surface are both represented in a single expansion, cutting the computation in half. In the low‐frequency limit the dynamical equations are shown to reduce to the static case, and numerical computations then indicate that in comparison with other approaches, the present method can achieve as much as an order of magnitude reduction in the number of equations and unknowns needed for a given accuracy. New exact relations are found between the electrostatic and magnetostatic problems, and analytical results are also obtained from the equations, with and without truncation.

[1]  W. R. Smythe.  Charged Sphere in Cylinder , 1960 .

[2]  Perturbation theory of scattering from irregular bodies , 1976 .

[3]  Raj Mittra,et al.  Computer techniques for electromagnetics , 1973 .

[4]  W. R. Smythe.  Charged Right Circular Cylinder , 1956 .

[5]  A. Wirgin,et al.  Numerical comparison of the Green's function and the Waterman and Rayleigh theories of scattering from a cylinder with arbitrary cross-section , 1974 .

[6]  P. Barber.  Scattering and Absorption Efficiencies for Nonspherical Dielectric Objects-Biological Models , 1978, IEEE Transactions on Biomedical Engineering.

[7]  P. Barber.  Electromagnetic Power Deposition in Prolate Spheroid Models of Man and Animals at Resonance , 1977, IEEE Transactions on Biomedical Engineering.

[8]  G. Agarwal.  Relation between Waterman's extended boundary condition and the generalized extinction theorem , 1976 .

[9]  R. Courant,et al.  Methods of Mathematical Physics , 1962 .

[10]  David Wall,et al.  Null field approach to scalar diffraction I. General method , 1977, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[11]  Perturbation Method in the Diffraction of Electromagnetic Waves by Arbitrarily Shaped Penetrable Obstacles , 1965 .

[12]  P. Barber,et al.  Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies. , 1975, Applied optics.

[13]  W. R. Smythe.  CHARGED SPHEROID IN CYLINDER , 1963 .

[14]  Emil Wolf,et al.  COHERENCE AND QUANTUM OPTICS , 1973 .

[15]  Thomas B. A. Senior,et al.  Rayleigh Scattering Cross Sections , 1972 .

[16]  Staffan Ström,et al.  On the integral equations for electromagnetic scattering , 1975 .

[17]  T. Taylor.  Electric polarizability of a short right circular conducting cylinder , 1960 .

[18]  Y. Pao,et al.  Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves , 1976 .

[19]  P. Waterman,et al.  SYMMETRY, UNITARITY, AND GEOMETRY IN ELECTROMAGNETIC SCATTERING. , 1971 .

[20]  R. Bates,et al.  The extended boundary condition and thick axially symmetric antennas , 1974 .

[21]  J. H. Van Vleck,et al.  Theory of Radar Reflection from Wires or Thin Metallic Strips , 1947 .

[22]  P. Waterman,et al.  Matrix theory of elastic wave scattering , 1976 .

[23]  Joseph B. Keller,et al.  Dipole Moments in Rayleigh Scattering , 1972 .

[24]  Te-kao Wu,et al.  Scattering from arbitrarily‐shaped lossy dielectric bodies of revolution , 1977 .

[25]  B. Peterson,et al.  T matrix for electromagnetic scattering from an arbitrary number of scatterers and representations of E(3) , 1973 .

[26]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[27]  D. Wilton,et al.  The extended boundary condition solution of the dipole antenna of revolution , 1972 .

[28]  Staffan Ström,et al.  T-matrix formulation of electromagnetic scattering from multilayered scatterers , 1974 .

[29]  P. Waterman,et al.  New Formulation of Acoustic Scattering , 1969 .

[30]  J. Yen,et al.  Extended boundary condition integral equations for perfectly conducting and dielectric bodies: Formulation and uniqueness , 1975 .

[31]  P. Waterman.  Matrix formulation of electromagnetic scattering , 1965 .

[32]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[33]  V. Erma.  Perturbation Approach to the Electrostatic Problem for Irregularly Shaped Conductors , 1963 .

[34]  A. F. Stevenson.  Electromagnetic Scattering by an Ellipsoid in the Third Approximation , 1953 .

[35]  P. Barber.  Resonance Electromagnetic Absorption by Nonspherical Dielectric Objects , 1977 .