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On the determination of the properties of a medium from its reflection coefficient


Everett, William Warren (1971) On the determination of the properties of a medium from its reflection coefficient. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/fsax-ks83.


This thesis demonstrates how the parameters of a slightly non-homogeneous medium can be derived approximately from the reflection coefficient.

Two types of media are investigated. The first is described by the one-dimensional wave equation, the second by the more complex Timoshenko beam equation. In both cases, the media are assumed to be infinite in extent, with the media parameters becoming homogeneous as the space variable approaches positive or negative infinity.

Much effort is placed in deriving properties of the reflection coefficient for both cases. The wave equation is considered primarily to introduce the techniques used to investigate the more complex Timoshenko equation. In both cases, an approximation is derived for one of the medium parameters involving the reflection coefficient.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mathematics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Knowles, James K.
Thesis Committee:
  • Unknown, Unknown
Defense Date:14 May 1971
Record Number:CaltechTHESIS:03272013-095340267
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7557
Deposited By: Benjamin Perez
Deposited On:27 Mar 2013 19:27
Last Modified:09 Nov 2022 19:20

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