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The Resolution of the Thermodynamic Paradox and the Theory of Guided Wave Propagation in Anisotropic Media


Mrstik, Adolph Vincent, Jr. (1968) The Resolution of the Thermodynamic Paradox and the Theory of Guided Wave Propagation in Anisotropic Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5DAY-XC29.


The resolution of the so-called thermodynamic paradox is presented in this paper. It is shown, in direct contradiction to the results of several previously published papers, that the cutoff modes (evanescent modes having complex propagation constants) can carry power in a waveguide containing ferrite. The errors in all previous “proofs” which purport to show that the cutoff modes cannot carry power are uncovered. The boundary value problem underlying the paradox is studied in detail; it is shown that, although the solution is somewhat complicated, there is nothing paradoxical about it.

The general problem of electromagnetic wave propagation through rectangular guides filled inhomogeneously in cross-section with transversely magnetized ferrite is also studied. Application of the standard waveguide techniques reduces the TM part to the well-known self-adjoint Sturm Liouville eigenvalue equation. The TE part, however, leads in general to a non-self-adjoint eigenvalue equation. This equation and the associated expansion problem are studied in detail. Expansion coefficients and actual fields are determined for a particular problem.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Electrical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Papas, Charles Herach
Thesis Committee:
  • Unknown, Unknown
Defense Date:22 May 1968
Record Number:CaltechTHESIS:12182015-135931289
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9328
Deposited On:18 Dec 2015 23:28
Last Modified:03 Apr 2024 23:50

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