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On the Index of Refraction of Spatially Periodic Plasma

Papas, C. H. (1961) On the Index of Refraction of Spatially Periodic Plasma. Caltech Antenna Laboratory Technical Report, 25. California Institute of Technology , Pasadena, CA. (Unpublished)

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A knowledge of the change produced in the index of refraction of a uniform plasma by the spontaneous generation of coagula or inhomogeneities is essential to the use of electromagnetic waves as a diagnostic tool. The general problem is a difficult one to handle, but certain non-trivial cases are mathematically tractable. One of these, which is also of some practical import, occurs when the inhomogeneities are periodically distributed throughout the plasma. Here this special case is analyzed within the framework of the theory of periodic structures. The problem is reduced by virtue of Floquet's theorem to an equivalent problem for the domain of a unit cell with periodic boundary conditions. An approximate solution is obtained by a simplified theory. As a specific application the calculation for a plasma with periodically spaced spherical inhomogeneities is worked out in detail.

Item Type:Report or Paper (Technical Report)
Additional Information:Research supported by the U. S. Air Force Office of Scientific Research.
Group:Caltech Antenna Laboratory
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
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Series Name:Caltech Antenna Laboratory Technical Report
Issue or Number:25
Record Number:CaltechAUTHORS:20200219-164336165
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101410
Deposited By: Melissa Ray
Deposited On:20 Feb 2020 02:22
Last Modified:22 Jul 2021 16:32

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