Abstract
We study a Mach-Zehnder nonlinear fiber interferometer for the generation of amplitude-squeezed light. Numerical simulations of experiments with microstructure fiber are performed using linearization of the quantum nonlinear Shroedinger equation. We include in our model the effect of distributed linear losses in the fiber.
Highlights
The generation of squeezed radiation in optical fibers using the effects of four-wave mixing and self-phase modulation has attracted considerable attention since the pioneering work with CW [1] and pulsed light [2]
As losses lead to degradation of the quantum-noise reduction (QNR), it is important to quantify their effect in order to compare the QNR obtainable in microstructure fiber (MF) with that in standard PM fibers
In 5(b) we show a plot of the QNR, corrected for the detection efficiency, in a piece of MF as a function of the strong-pulse energy
Summary
The generation of squeezed radiation in optical fibers using the effects of four-wave mixing and self-phase modulation has attracted considerable attention since the pioneering work with CW [1] and pulsed light [2] (see the paper by Sizmann and Leuchs [3] for an extensive review). To optimize the experimental QNR it is crucial that we study the dependence of the noise reduction in the Mach-Zehnder interferometer on various parameters such as the splitting ratio of the interferometer’s beamsplitters and the fiber length. The fiber is divided into small segments of length ∆z, and an approximate solution to the equation is found by pretending that over ∆z the nonlinearity [represented by the first term on the right side of Eq (3)] and dispersion [represented by the second term on the right side of Eq (3)] act independently This approximation allows one to exactly solve each evolution step by matrix exponentiation, which can be efficiently implemented numerically. We evolve the averaged envelopes of the soliton-like and the auxiliary pulses, Uand U , respectively, through equal lengths of fiber Using these numerical solutions for the averaged envelopes, we propagate the associated noise operators, uand u. Note that the QNR is a function of φ [through the dependence of θj on φ in Eqs. (8) and (9)] and can be minimized with respect to this parameter
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