Abstract
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.
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References
M. V. Berry, N. L. Balazs, M. Tabor, and A. Voros, “Quantum Maps,” Ann. Rhys. 122, 26 (1979).
S. W. McDonald, “Wave Dynamics of Regular and Chaotic Rays,” Ph.D. thesis, University of California, Berkeley (1933).
G. B. Whitham, Linear and Nonlinear Waves (John Wiley and Sons, 1974 ).
R. L. Dewar, “Lagrangian Derivation of the Action Conservation Theorem for Density Waves,” Astrophys. J. 174, 301 (1972).
A. N. Kaufman, “Poisson Structures of Nonlinear Plasma Dynamics,” Physica Scripta T2:2, 517 (1982).
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© 1985 Plenum Press, New York
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Kaufman, A.N., McDonald, S.W., Rosengaus, E. (1985). Transition of a Coherent Classical Wave to Phase Incoherence. In: Casati, G. (eds) Chaotic Behavior in Quantum Systems. NATO ASI Series, vol 120. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2443-0_15
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DOI: https://doi.org/10.1007/978-1-4613-2443-0_15
Publisher Name: Springer, Boston, MA
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