Extracting Solitons from Noisy Pulses
Author(s)Li, Jinglai; Kath, William L.
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We describe an iterative method that extracts the underlying soliton from a noisy pulse. The method is formulated as a functional iteration: at each step, the soliton component of the difference between the noisy pulse and the current underlying soliton is determined via soliton perturbation theory; this is then added to the soliton, and the process is repeated. We show that this iteration converges if the perturbation is not too large, and we give the specific types of deviations which most easily cause the iteration to fail to converge. As an example of the method's use, we apply it to obtain improved statistics of the amplitude, phase, frequency, and position of a soliton propagating in an optical fiber in the presence of amplifier noise.
DepartmentMassachusetts Institute of Technology. Department of Aeronautics and Astronautics
SIAM Journal on Applied Mathematics
Society for Industrial and Applied Mathematics
Li, Jinglai, and William L. Kath. “Extracting Solitons from Noisy Pulses.” SIAM Journal on Applied Mathematics 72.2 (2012): 577–593. Copyright © 2012 Society for Industrial and Applied Mathematics
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