Abstract
Master and Fokker-Planck equations are obtained for radiation propagating through a random medium using the q-c-number correspondence of the coherent state technique. The corresponding equation for the antinormal characteristic function is solved by means of the method of characteristics. The master equation method and the recently developed method based on the Heisenberg equations and quantum characteristic function are shown to be equivalent. Some existence problems for the Glauber-Sudarshan weighting function are discussed. New light is thrown on approximations in the photocounting statistics used earlier.
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Peřina J., Peřinová V., Horák R., Czech. J. Phys.B 23 (1973), 975.
Peřina J., Peřinová V., Horák R., Czech. J. Phys.B 23 (1973), 993.
Peřina J., Peřinová V., Mišta L., Horák R., Czech. J. Phys.B 24 (1974), 374.
Peřina J., Peřinová V., Mišta L., Czech J. Phys.B 24 (1974), 482.
Peřina J., Peřinová V., Diament P., Teich M. C., Braunerová Z., Czech. J. Phys.B 25 (1975), 483.
Louisell W. H., Quantum Statistical Properties of Radiation. J. Wiley-New York 1973.
Peřina J., Coherence of Light. Van Nostrand-London 1972.
Carmichael H. J., Walls D. F., J. Phys.A 6 (1973), 1552.
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The authors thank Dr. L. Mišta for discussions and for some verifying calculations.
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Peřina, J., Peřinová, V. Master equation approach to propagation of radiation through random media. Czech J Phys 25, 605–618 (1975). https://doi.org/10.1007/BF01591017
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DOI: https://doi.org/10.1007/BF01591017