Problems in Coherent Wave-Wave Interactions in a Plasma.
Abstract
Two problems involving coherent wave-wave interactions are discussed. The influence of the medium is expressed through tensor dielectric operators in the macroscopic Maxwell equations. The coupled equations are derived for sets of 3 wave interactions using a fast and slow time scale expansion. The first problem involves consideration of four longitudinal waves coupled in two sets of 3 wave interactions. Analytic solutions are obtained which indicate that depending on the relative magnitudes of the coupling constants, a strong triplet may stabilize a weak triplet against explosive instabilities. The second problem involves defining the spin angular momentum for transverse waves propagating in an isotropic medium or in a medium with an axis of symmetry. Spin angular momentum is found to be the projection of wave angular momentum in the direction of propagation.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1979
- Bibcode:
- 1979PhDT........15W
- Keywords:
-
- Physics: Fluid and Plasma;
- Longitudinal Waves;
- Plasma Physics;
- Plasmas (Physics);
- Transverse Waves;
- Wave Interaction;
- Angular Momentum;
- Isotropic Media;
- Maxwell Equation;
- Spin;
- Spin Dynamics;
- Wave Propagation;
- Plasma Physics