Kinematics and Dynamics of Nonlinear Mode Coupling
Abstract
A general treatment is given for the interaction of two propagating modes when they are nonlinearly coupled by a largeamplitude driving wave. The equations describing the spacetime development of the mode amplitudes have a certain symmetry due to the constraints of smallsignal energy conservation. The wave solutions, given the vector coupling relations (ω_{d}=ω_{a}+/ω_{b},k_{d}=k_{a}+/k_{b}), are of four possible types, depending on the signs of the energy densities and group velocities of the individual modes. The periodicity imposed by the driving wave is used to construct a spatialtemporal harmonic dispersion diagram in which these interactions are displayed. The results are then shown to be generalizations of the wavewave couplings of linear theory.
 Publication:

Physical Review A
 Pub Date:
 January 1971
 DOI:
 10.1103/PhysRevA.3.153
 Bibcode:
 1971PhRvA...3..153V