Title :
Unusual identities for special functions from waveguide propagation analyses
Author :
Cochran, James A.
Author_Institution :
Dept. of Math., Washington State Univ., Pullman, WA, USA
fDate :
3/1/1988 12:00:00 AM
Abstract :
The analysis of electromagnetic wave propagation in cylindrical waveguides with step discontinuities leads naturally to sets of unusual identities for various special functions. Emphasis is placed on those expressions associated with classical rectangular and circular cross-sectional geometry. From a mathematical point of view it turns out, as expected, that the identities are related to bilinear expansions for Green´s functions affiliated with Sturm-Liouville boundary-value problems
Keywords :
Green´s function methods; boundary-value problems; guided electromagnetic wave propagation; waveguide theory; Green´s functions; Sturm-Liouville boundary-value problems; bilinear expansions; circular cross-sectional geometry; cylindrical waveguides; electromagnetic wave propagation; rectangular; step discontinuities; waveguide propagation analyses; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic scattering; Electromagnetic waveguides; Frequency; Geometry; Green´s function methods; Harmonic analysis; Partial differential equations; Permeability; Rectangular waveguides; Tellurium; Waveguide discontinuities;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
