Nonlinear Rotary Wave Ion Plasma
Abstract
The interaction between a rotary electromagnetic plane wave propagating along an axial magnetic field and an arbitrary phase-space distribution of charged particles is solved exactly for selected cases. The interaction is described by the nonlinearly coupled Vlasov-Maxwell ion-plasma field equations which are integrated with the assistance of four new constants of the motion. The ion orbits in momentum space are bipolar double periodic eigenfunctions of ion proper time, which are obtained in closed form as the difference between two doubly quasi-periodic Weierstrass zeta functions. The ion orbits in position space are helical-spiral doubly quasi-periodic functions of ion proper time, expressible simply in the terms of doubly quasi-periodic Weierstrass sigma functions.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1974
- Accession Number
- AD0782257
Entities
People
- Bernard H. Duane
- Harold B. Liemohn
Organizations
- Battelle Memorial Institute