24 September 2005 Intensity spectrum analysis of a jittery train after temporal Talbot dispersive line with second order dispersion
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The power spectrum density of the intensity of jittery but coherent trains of linearly chirped Gaussian pulses after a high-dispersion line with arbitrary first (β2) and second order(β3) dispersion is computed in the small-signal approximation. Before the dispersive line the timing jitter of the input train causes noise sidebands around the harmonics of the train. The noise bandwidth of these jitter sidebands depends on the pulse-to-pulse correlation. The result of the propagation in a dispersive line is a multiplicative factor in the noise spectral density. This term depends on the dispersive characteristics of the line and the pulse parameters but not on the timing jitter's correlation. The structure of this new factor is peaked, resulting in narrowband noise patterns at specific locations of the spectrum. The bandwidth of the dispersion-induced noise patterns is in general broader than the timing jitter's bandwidth. When the lines are Talbot dispersive devices, i. e., are designed to multiply the repetition rate of the train), jitter noise around the harmonics of the output train is left untouched. Therefore the jitter structure of the multiplied train is inherited from the initial train. More general RF spectral patterns, depending on the pulse-to-pulse jitter correlation, are also analyzed.
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Laura Chantada, Laura Chantada, Carlos R. Fernández-Pousa, Carlos R. Fernández-Pousa, Carlos Gómez-Reino, Carlos Gómez-Reino, } "Intensity spectrum analysis of a jittery train after temporal Talbot dispersive line with second order dispersion", Proc. SPIE 5952, Optical Fibers: Applications, 59521M (24 September 2005); doi: 10.1117/12.623039; https://doi.org/10.1117/12.623039

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