A new functional equation in the plasma inverse problem and its analytic properties
Autor: | H. H. Szu, S. Ahn, C. C. Yang, C. E. Carroll |
---|---|
Rok vydání: | 1976 |
Předmět: | |
Zdroj: | Journal of Mathematical Physics. 17:1236-1247 |
ISSN: | 1089-7658 0022-2488 |
DOI: | 10.1063/1.523067 |
Popis: | In the one‐dimensional form of the plasma inverse problem, reflection of transverse electromagnetic waves is used to determine the electron density in a cold, collisionless, unmagnetized plasma. We extend the applicable Gel’fand–Levitan integral equation so that it is valid for all times. Laplace transformation of the extended equation gives a linear functional equation containing the complex reflection coefficient. We solve the functional equation analytically in special cases, and classify reflection coefficients by their analytic properties. |
Databáze: | OpenAIRE |
Externí odkaz: |