Abstract
Formulae recently derived for the integrated intensity distribution, the photon-counting distribution and its factorial moments in the statistics of the superposition of multimode coherent and chaotic fields are analyzed in greater detail and their validity as approximate formulae for light of arbitrary spectrum is investigated. It is shown by explicit calculation of the third factorial moment of the photon-counting distribution for the superposition of a one-mode coherent field with a Gaussian Lorentzian field that the proposed formulae hold with very good accuracy over a wide range of conditions.
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Lachs G.: Phys. Rev.138 (1965), B1012.
Glauber R. J.: Physics of Quantum Electronics. (Ed. by P. L. Kelley, B. Lax and P. E. Tannenwald.) McGraw-Hill, New York 1966, p. 788.
Morawitz H.: Phys. Rev.139 (1965), A1072.
Morawitz H.: Z. Phys.195 (1966), 20.
Peřina J.: Phys. Lett.24A (1967), 333.
Peřina J.: Acta Univ. Palack.27 (1968), 227.
Peřina J.: Czech. J. Phys.B 18 (1968), 197.
Peřina J., Mišta L.: Czech. J. Phys.B 18 (1968), 697.
Jakeman E., Pike E. R.: J. Phys. A (Gen. Phys.) (2)2, (1969), 115.
Peřina J., Horák R.: J. Phys. A (Gen. Phys. (2),2 (1969), 702.
Mandel L.: Proc. Phys. Soc.74 (1959), 233.
Bédard G., Chang J. C., Mandel L.: Phys. Rev.160 (1967), 1496.
Horák R., Mišta L., Peřina J.: J. Phys. A (Gen. Phys.) (in press).
Mandel L.: Phys. Rev.152 (1966), 438.
Peřina J.: Quantum Optics. Proc. Scottish Univ. Summer School in Physics, Carberry Tower 1969 (Ed. by S. M. Kay and A. Maitland.) Acad. Press, London 1970, p. 513.
Peřina J.: Coherence of Light. Van Nostrand, London 1971 (in press).
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The authors thank Dr. Z. Braunerová and M T. Kojecký of the Computer Center of Palacký University for their help with calculations.
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Horák, R., Mišta, L. & Peřina, J. Approximate approach to the quantum statistics of the superposition of coherent and chaotic fields. Czech J Phys 21, 614–622 (1971). https://doi.org/10.1007/BF01726434
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DOI: https://doi.org/10.1007/BF01726434