Analytic generating function for the Brillouin spectrum

Based on the author's formalism given in [M. Singh, Optica Acta 31, 1293 (1984), Phys. Lett. A126, 463 (1988) and Phys. Lett. A139, 213 (1989)l we derive here for the first time a unique analytic generating function for the Gaussian signal characterized by a triangular auto-correlation. We utilize this result to show the inadequacy of the approximate formalism due to Bedard, Chang and Mandel [Phys. Rev. 160, 1496 (1967)l to study the behaviour of the time interval distribution of registering a conditional photocount.

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A physically tenable generating-function for the Gaussian field characterized by a triangular autocorrelation and the earlier results due to Srinivasan

Singh¹

1997

Phys. Scr.

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On solving the Fredholm integral equation of the second-kind in a form where the kernel is replaced by its Laplace transform, we find that our Fredholm-determinant completely agrees with the one we recently derived and is contrary to the one reported in Srinivasan's work. Further, whereas our formalism ensures the physical tenability of the generating-function, a simple analysis of the generating-function due to Srinivasan shows that it leads to untenable results.

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Analytic generating function for the Brillouin spectrum

Cited by 3 publications

References 16 publications

Two-fold Generating Function for the Brillouin Spectrum: An Analytic Approach

Two-fold Generating Function for the Brillouin Spectrum: An Analytic Approach

Analytic generating function for the Gaussian signal with a triangular autocorrelation

A physically tenable generating-function for the Gaussian field characterized by a triangular autocorrelation and the earlier results due to Srinivasan

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