On the Index of Refraction of Spatially Periodic Plasma
- Creators
- Papas, C. H.
Abstract
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.
Additional Information
Research supported by the U. S. Air Force Office of Scientific Research.Attached Files
Submitted - TR000406.pdf
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Additional details
- Eprint ID
- 101410
- DOI
- 10.7907/YN3X-4B88
- Resolver ID
- CaltechAUTHORS:20200219-164336165
- Air Force Office of Scientific Research (AFOSR)
- Created
-
2020-02-20Created from EPrint's datestamp field
- Updated
-
2021-07-22Created from EPrint's last_modified field
- Caltech groups
- Caltech Antenna Laboratory
- Series Name
- Caltech Antenna Laboratory Technical Report
- Series Volume or Issue Number
- 25
- Other Numbering System Name
- AFOSR
- Other Numbering System Identifier
- 82