A plane wave expansion of spherical wave functions for modal analysis of guided wave structures and scatterers
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AbstractA 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) over bar \ < R, the same set of plane waves can be used. The theory is numerically verified for a wide range of parameters, showing its fast convergence characteristics. The plane wave expansions of the vector multipole fields can also be obtained.
All Author(s) ListMacPhie RH, Wu KL
Journal nameIEEE Transactions on Antennas and Propagation
Volume Number51
Issue Number10
Pages2801 - 2805
LanguagesEnglish-United Kingdom
Keywordselectromagnetic theory; guided waves; modal analysis; scattering; waveguide
Web of Science Subject CategoriesEngineering; Engineering, Electrical & Electronic; ENGINEERING, ELECTRICAL & ELECTRONIC; Telecommunications; TELECOMMUNICATIONS

Last updated on 2020-29-11 at 01:13