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Electromagnetic wave propagation and scattering in a randomly-inhomogeneous dielectric sphere


Bilow, Henry Joel (1970) Electromagnetic wave propagation and scattering in a randomly-inhomogeneous dielectric sphere. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/CMVZ-RR78.


Electromagnetic wave propagation and scattering in a sphere composed of an inhomogeneous medium having random variations in its permittivity are studied by utilizing the Born approximation in solving the vector wave equation. The variations in the permittivity are taken to be isotropic and homogeneous, and are spatially characterized by a Gaussian correlation function. Temporal variations in the medium are not considered.

Two particular problems are considered: i) finding the far-zone electric field when an electric or magnetic dipole is situated at the center of the sphere, and ii) finding the electric field at the sphere's center when a linearly polarized plane wave is incident upon it. Expressions are obtained for the mean-square magnitudes of the scattered field components; it is found that the mean of the product of any two transverse components vanishes. The cases where the wavelength is much shorter than correlation distance of the medium and where it is much longer than it are both considered.

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:23 April 1970
Funding AgencyGrant Number
Record Number:CaltechTHESIS:08282015-131240078
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9121
Deposited By: Bianca Rios
Deposited On:28 Aug 2015 21:17
Last Modified:09 Nov 2022 19:20

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