A simple approach to mode analysis for parabolic waveguides

Author

Kenney, Charles S. ; Overfelt, P.L.

Author_Institution

Naval Weapons Center, China Lake, CA, USA

Volume

39

Issue

3

fYear

1991

fDate

3/1/1991 12:00:00 AM

Firstpage

405

Lastpage

412

Abstract

A simple method of mode analysis for parabolic waveguides, based on one-dimensional analytic continuation, is presented. The method gives essentially exact values for parabolic cylinder functions; i.e., the relative error in the computed result is on the order of the machine round-off. When supplemented with a Newton-Poisson shooting method and simple homotopy techniques, this continuation method can be used to find the transverse electric and transverse magnetic mode eigenvalues, and associated separation constants, for arbitrary parabolic domains. These methods are also used to compute a power-handling efficiency factor for a range of parabolic regions

Keywords

eigenvalues and eigenfunctions; waveguide theory; Newton-Poisson shooting method; homotopy techniques; mode analysis; one-dimensional analytic continuation; parabolic cylinder functions; parabolic waveguides; power-handling efficiency factor; separation constants; transverse electric mode eigenvalues; transverse magnetic mode eigenvalues; Associate members; Boundary conditions; Eigenvalues and eigenfunctions; Engine cylinders; Impedance; Lakes; Military computing; Physics; Tellurium; Weapons;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.75281

Filename

75281