Transition of a Coherent Classical Wave to Phase Incoherence
A coherent wave may be characterized by a single-valued phase function. As the wave propagates, its rays twist and separate, causing its Lagrangian manifold k(x) to develop pleats. Thereby the phase becomes multivalued, and the wave may be termed incoherent. This process is analyzed by studying the local spectral density, which changes from a line spectrum to a continuous spectrum.
KeywordsWigner Function Lagrangian Manifold Coherent Wave Linear Response Function Homogeneous Integral Equation
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- 2.S. W. McDonald, “Wave Dynamics of Regular and Chaotic Rays,” Ph.D. thesis, University of California, Berkeley (1933).Google Scholar