Problems in Coherent WaveWave Interactions in a Plasma.
Abstract
Two problems involving coherent wavewave 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