Matrix theory approach to complex waves (in shielded lossless guides)

Complex waves in shielded lossless inhomogeneous isotropic guides are investigated. A critical appraisal of the existing theory of complex waves is given and a new approach is proposed. A mathematical condition for the existence of complex waves is derived using the properties of a generalized symmetric matrix eigenvalue problem. It is shown that complex waves may exist in slightly perturbed homogeneous guides as a result of the coupling of a pair of degenerate or nearly degenerate modes. >

[1]  R. Adler.  Waves on Inhomogeneous Cylindrical Structures , 1952, Proceedings of the IRE.

[2]  K. Schunemann,et al.  Scattering by Material and Conducting Bodies Inside Waveguides, Part I: Theoretical Formulations , 1986 .

[3]  G. Stewart.  Introduction to matrix computations , 1973 .

[4]  A. Omar,et al.  The Effect of Complex Modes at Finline Discontinuities , 1986 .

[5]  S. B. Raevskii,et al.  Some properties of complex waves in a double-layer, circular, shielded waveguide , 1976 .

[6]  T. Rozzi,et al.  Complex modes in boxed microstrip , 1988 .

[7]  K. R. Slinn,et al.  Complex modes of propagation in dielectric-loaded circular waveguide , 1965 .

[8]  Jerzy Mazur,et al.  Predicting Complex Waves in Lossless Guides , 1990, 1990 20th European Microwave Conference.

[9]  B. Parlett.  The Symmetric Eigenvalue Problem , 1981 .

[10]  A. S. Omar,et al.  Formulation of the Singular Integral Equation Technique for General Planar Transmission Lines , 1985 .

[11]  F. Arndt,et al.  Rigorous Hybrid-Mode Analysis of the Transition from Rectangular Waveguide to Shielded Dielectric Image Guide , 1985 .

[12]  B. C. Taylor,et al.  Evanescent and propagating modes of dielectric-loaded circular waveguide , 1964 .

[13]  A. S. Omar,et al.  Complex and Backward-Wave Modes in Inhomogeneously and Anisotropically Filled Waveguides , 1987 .

[14]  U. Crombach,et al.  Complex waves on shielded lossless rectangular dielectric image guide , 1983 .

[15]  Tatsuo Itoh,et al.  Complex modes in lossless shielded microstrip lines , 1988 .

[16]  R. A. Waldron,et al.  Non-periodic Slow-wave and Backward Wave Structures , 1960 .

[17]  J. D. Rhodes,et al.  General constraints on propagation characteristics of electromagnetic waves in uniform inhomogeneous waveguides , 1971 .

[18]  Michal Mrozowski,et al.  Complex Waves in Lossless Dielectric Waveguides , 1989, 1989 19th European Microwave Conference.