The Method of Auxiliary Sources in Electromagnetic Scattering Problems

Publisher Summary A conventional Method of Auxiliary Sources (MAS) is a method of finding the solution of the boundary problem for a given differential equation by expanding it in terms of fundamental, or other singular solutions of this equation. This chapter describes the conventional method of auxiliary sources (MAS) in application to 2D and 3D scattering problems upon bodies of complicated shape and filling. It offers general recommendations for the proper implementation of the MAS with predesigned accuracy. Finally, the application of the MAS to particular problems is illustrated, including the problems of anisotropy, chirality, and those of multiply-connected boundaries. Far and near fields for different situations are analyzed through numerical simulations in a wide frequency band starting from the quasi-static up to the quasi-optics. The efficiency of the MAS to study complex scattering problems, as well as to visualize various physical phenomena in electromagnetic and light wave band is also demonstrated.

[1]  H. Gutfreund,et al.  Potential methods in the theory of elasticity , 1965 .

[2]  Yehuda Leviatan,et al.  Analytic continuation considerations when using generalized formulations for scattering problems , 1990 .

[3]  R. Penrose,et al.  Spinors and Space–Time: Subject and author index , 1984 .

[4]  F. Bogdanov,et al.  Investigation of diffraction properties of the single and periodical scatterers made of complex materials , 1997, IEEE MTT/ED/AP West Ukraine Chapter DIPED - 97. Direct and Inverse Problems of Electromagnetic and Acoustic Theory (IEEE Cat. No.97TH8343).

[5]  Craig F. Bohren,et al.  Scattering of electromagnetic waves by an optically active cylinder , 1978 .

[6]  V. D. Kupradze,et al.  ON THE APPROXIMATE SOLUTION OF PROBLEMS IN MATHEMATICAL PHYSICS , 1967 .

[7]  Integral Equations for the Scattering by a Three Dimensional Inhomogeneous Chiral Body , 1992 .

[8]  Solution of inverse problems by the method of auxiliary sources (MAS) , 1998, IEEE Antennas and Propagation Society International Symposium. 1998 Digest. Antennas: Gateways to the Global Network. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.98CH36.

[9]  C. Hafner The generalized multipole technique for computational electromagnetics , 1990 .

[10]  Amir Boag,et al.  Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model , 1987 .

[11]  Properties of optimal methods for the solution of problems of mathematical physics , 1970 .

[12]  Alan B. Tayler,et al.  New methods for solving elliptic equations , 1969 .

[13]  E. Newman,et al.  Scattering by a chiral cylinder of arbitrary cross section , 1990 .

[14]  Akhlesh Lakhtakia,et al.  Beltrami Fields in Chiral Media , 1994 .

[15]  Christian Hafner Numerische Berechnung elektromagnetischer Felder , 1987 .

[16]  E. H. Linfoot Principles of Optics , 1961 .

[17]  H. Cory Chiral devices - an overview of canonical problems , 1995 .

[18]  A. Calderón,et al.  The Multipole Expansion of Radiation Fields , 1954 .

[19]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[20]  Ch. Hafner Multiple multipole (MMP) computations of guided waves and waveguide discontinuities , 1990 .

[21]  V. Varadan,et al.  Scattering and absorption characteristics of lossy dielectric, chiral, nonspherical objects. , 1985, Applied optics.

[22]  Scattering by a biisotropic body , 1995 .