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Journals and Conferences
We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schrödinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its… (More)
Nondegenerate four-wave mixing in fibers enables the tunable and low-noise frequency conversion of optical signals. This paper shows that four-wave mixing driven by pulsed pumps can also regenerate and reshape optical signal pulses arbitrarily.
Soliton perturbation theory predicts an incorrect phase distribution for solitons of stochastically-driven nonlinear Schrdinger equations. We propose a simple variational model that accounts for radiation and produces the correct phase evolution.
In this paper, we consider the effects of nonlinear phase modulation on frequency conversion by four-wave mixing (Bragg scattering) in the low-conversion regime. We derive the Green functions for this process using the time-domain collision method, for partial collisions, in which the four fields interact at the beginning or the end of the fiber, and… (More)
A general far-field wave propagation scaling law is developed. The formulation is simple but predicts diffraction peak irradiance accurately in the far field, regardless of the near-field beam type or geometry, including laser arrays. We also introduce the concept of the equivalent uniform circular beam that generates a far-field peak irradiance and… (More)
This paper extends the application of importance sampling to include the leading order effect of dispersive radiation on the soliton’s phase when simulating bit errors in optical communication systems that use optical solitons as bit carriers. A simple one-parameter model for the radiation is used to account for the most significant effect of radiation on… (More)