Title :
A plane wave expansion of spherical wave functions for modal analysis of guided wave structures and scatterers
Author :
Macphie, Robert H. ; Wu, Ke-Li
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Ont., Canada
Abstract :
A new finite plane wave series expansion for spherical wave functions of the first kind is presented in this paper. The formulation converts the spherical wave function described in the spherical coordinate system into a series of plane wave functions represented in the Cartesian coordinate system. The series expansion will be very useful in modal analysis of three dimensional guided wave structures and scatterers containing planar boundary surfaces. For a given range of orders m and degree n and for a region with |r~|\n\n\t\t
Keywords :
convergence of numerical methods; electromagnetic fields; electromagnetic wave scattering; integral equations; series (mathematics); wave functions; waveguide theory; Cartesian coordinate system; EM wave scatterers; double integral representation; electromagnetic fields; fast convergence characteristics; finite plane wave series expansion; guided wave structures; modal analysis; planar boundary surfaces; plane wave functions; spherical coordinate system; spherical wave functions; three dimensional guided wave structures; three dimensional scatterers; vector multipole fields; Convergence of numerical methods; Electromagnetic scattering; Electromagnetic waveguides; Mie scattering; Modal analysis; Planar waveguides; Shape; Surface waves; Wave functions; Waveguide theory;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2003.818009
