Plane wave scattering by a material coated parabolic cylinder
Abstract
An eigenfunction solution to the problem of transverse magnetic (TM) or transverse electric (TE) scattering by a coated parabolic cylinder is presented. Paralleling the wellknown solution for the coated circular cylinder, eigenfunction expansions involving parabolic cylinder functions are obtained for the fields in the exterior and coating regions. Next, boundary conditions are enforced to obtain a pair of coupled equations for the unknown coefficients in the eigenfunction expansions for the fields. Unlike the corresponding solution for the coated circular cylinder, the eigenfunctions in the exterior and coating regions are not orthogonal, and an exact termbyterm solutions of these equations is not possible. Instead, the equations are solved by the method of moments. For thin coatings both an uncoupledmode and a surfaceimpedance model are described. In particular, for the TM polarization it is shown that a thin coating can be modeled by a specific nonuniform surface impedance for which an exact termbyterm solution is possible. Numerical data are presented, showing the convergence of the solution and comparing the solutions for the uncoupledmode and surfaceimpedance models.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 April 1990
 DOI:
 10.1109/8.52273
 Bibcode:
 1990ITAP...38..541N
 Keywords:

 Cylinders;
 Electromagnetic Scattering;
 Parabolic Antennas;
 Plane Waves;
 Protective Coatings;
 Eigenvalues;
 Hermitian Polynomial;
 Method Of Moments;
 Polarization Characteristics;
 Communications and Radar