Deterministic effective equations for the propagation of expectation in noisy nonlinear optical fibers

作者：Barletti L^*; Busoni G

来源：Mathematical Methods in the Applied Sciences, 2010, 33(10): 1221-1227.

DOI：10.1002/mma.1323

• nonlinear Schrodinger equation
• optical fibers
• noise propagation
• expectation equations

We consider electromagnetic propagation in optical fibers as described by a nonlinear Schrodinger equation. The equation is endowed with input data representing a signal affected by a Gaussian white noise. Assuming both the nonlinearity and the noise to be small of the same order epsilon, we derive a hierarchy, at various orders in epsilon, of deterministic effective equations for the expectation of the propagated signal.

• 出版日期2010-7-15