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On the accuracy of the approximate formulae for the photon counting statistics of mixed coherent and chaotic radiation |
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| Authors: | J Peřina V Peřinová G Lachs Z Braunerová |
| Institution: | 1. Laboratory of Optics, Palacky University, Leninova 26, Olomouc, Czechoslovakia 2. Electrical Engineering Department, The Pennsylvania State University, 16802, University Park, Pennsylvania, USA 3. Laboratory of Computer Science, Palacky University, Leninova 26, Olomouc, Czechoslovakia |
| Abstract: | We compare the photon counting statistics for mixed coherent and chaotic radiation calculated with the help of approximate formulae and exact recurrence formulae recently obtained. We investigate Lorentzian, Gaussian and rectangular spectrum of chaotic radiation and show that the accuracy of the approximate formulae, which are relatively simple, is better than 1% if the signal-to-noise ratio is greater than 4 for arbitrary values of the other parameters. If the signal-to-noise ratio is less than one the agreement of the approximate and exact values is only fair. The simple closed-form approximate formulae may be useful particularly for systems employing laser radiation. |
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