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