Ion-acoustic dispersion relation with direct fractional approximation for Z′(s)
- 1 June 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (6) , 1186-1188
- https://doi.org/10.1063/1.526523
Abstract
A direct fractional approximation for the derivative Z′ of the plasma dispersion function Z(s) has been obtained by using the modified asymptotic Padé method. The dispersion relation for the ion-acoustic wave and for the ion-beam instability has been solved by the use of that fractional approximation yielding satisfactory results. A comparison is given between the dispersion relations calculated with (a) our approximation, (b) other approximations to Z′, and (c) the exact function.Keywords
This publication has 3 references indexed in Scilit:
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- Ion Acoustic Waves in a Multi-Ion PlasmaPhysics of Fluids, 1971