1 October 2012 Arbitrary-waveform-decomposition technique applied to the Schrödinger equation
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Abstract
The arbitrary-waveform-decomposition technique is employed to study the arbitrary-waveform pulse that propagates over optical fibers and the evolution process is strictly governed by the dispersion-managed Schrödinger equation. Through decomposing the initial signal waveform into sub Gaussian pulses, we can simply yield the approximately analytical solutions when incorporating the second- and third-order dispersion terms into the Schrödinger equation, with the form of combination of Gaussian functions and Airy functions, and the error between the solution derived by our method and the exact solution is strictly dependent on curve-fitting during the decomposing process. Our results should be useful for predicting the evolution characteristics of arbitrary-waveform pulse in various forms of optical communications systems.
© 2012 Society of Photo-Optical Instrumentation Engineers (SPIE)
Liang Zhao, Junqiang Sun, Xinliang Zhang, Cong Chen, "Arbitrary-waveform-decomposition technique applied to the Schrödinger equation," Optical Engineering 51(10), 105006 (1 October 2012). https://doi.org/10.1117/1.OE.51.10.105006 . Submission:
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