Photon time-interval statistics applied to the analysis of laser heterodyne signal with photon counter |
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| Authors: | Lisheng Liu Heyong Zhang Jin Guo Shuai Zhao Tingfeng Wang |
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| Institution: | 1. State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Changchun 130033, China;2. Graduate University of Chinese Academy of Sciences, Beijing 100039, China;2. Research Institute of Environmental Medicine, Nagoya University, Nagoya, Japan;3. Nagoya University, Nagoya, Japan;1. National Research Tomsk State University, 36 Lenin av., 634050 Tomsk, Russia;2. Siberian Physical Technical Institute TSU, 1 Novosobornata sq., 634050 Tomsk, Russia;3. Institute of Semiconductor Physics of the Siberian Branch of the Russian Academy of Sciences, 13, akademika Lavrent’eva av., 630090 Novosibirsk, Russia;1. Informatics Engineering Department, Technological Educational Institution of Central Macedonia, Terma Magnisias, 62124 Serres, Greece;2. Department of Electrical and Computer Engineering, Democritus University of Thrace, 67100 Xanthi, Greece |
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| Abstract: | In this paper, we report a mathematical derivation of probability density function (PDF) of time-interval between two successive photoelectrons of the laser heterodyne signal, and give a confirmation of the theoretical result by both numerical simulation and an experiment. The PDF curve of the beat signal displays a series of fluctuations, the period and amplitude of which are respectively determined by the beat frequency and the mixing efficiency. The beat frequency is derived from the frequency of fluctuations accordingly when the PDF curve is measured. This frequency measurement method still works while the traditional Fast Fourier Transform (FFT) algorithm hardly derives the correct peak value of the beat frequency in the condition that we detect 80 MHz beat signal with 8 Mcps (counts per-second) photons count rate, and this indicates an advantage of the PDF method. |
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