Title :
On the representational nonuniqueness of uniform waveguide eigenvalue formulas
Author_Institution :
US Naval Air Warfare Center, China Lake, CA, USA
fDate :
5/1/1992 12:00:00 AM
Abstract :
It is found that, for uniform perfectly conducting waveguides characterized by rectilinear boundaries and exact eigenvalue formulas, such formulas are not representationally unique. They are specific examples of general homogeneous polynomials of degree p in q variables, known as q-ary, p-ic forms. Using the concepts of equivalence and congruence, it is found that an infinite number of eigenvalue formulas (that are members of an equivalence or congruence class) may be associated with a given waveguide cross-section
Keywords :
eigenvalues and eigenfunctions; polynomials; waveguide theory; perfectly conducting waveguides; polynomials; rectilinear boundaries; uniform waveguide eigenvalue formulas; Bipolar transistors; Capacitance; Eigenvalues and eigenfunctions; Electron devices; Harmonic distortion; Heterojunction bipolar transistors; Indium compounds; Indium gallium arsenide; Indium phosphide; Microwave devices;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
