Abstract
We present a semi-classical approach for predicting the quantum noise properties of fiber optical parametric amplifiers. The unavoidable contributors of noise, vacuum fluctuations, loss-induced noise, and spontaneous Raman scattering, are included in the analysis of both phase-insensitive and phase-sensitive amplifiers. We show that the model agrees with earlier fully quantum approaches in the linear gain regime, whereas in the saturated gain regime, in which the classical equations are valid, we predict that the amplifier increases the signal-to-noise ratio by generating an amplitude-squeezed state of light. Also, in the same process, we analyze the quantum noise properties of the pump, which is difficult using standard quantum approaches, and we discover that the pump displays complicated dynamics in both the linear and the nonlinear gain regimes.
Highlights
Fiber optical parametric amplifiers (FOPAs) have many potential applications in future alloptical communication systems
We have presented a semi-classical method for describing quantum noise in parametric processes
In the linear gain regime of the amplification process, we found that the semi-classical method had excellent agreement with fully-quantum approaches when loss and Raman scattering were omitted
Summary
Fiber optical parametric amplifiers (FOPAs) have many potential applications in future alloptical communication systems. The last two processes, (e) and (f), are labeled distant and nearby Bragg scattering, from the possible applications of distant and nearby frequency conversion They distinguish themselves from the former configurations by transferring power between the signal and idler (and between the two pumps) periodically through the fiber; the pumps do not amplify either of the signal or idler, but FWM enables the conversion of power. We present a semi-classical method for describing quantum noise in parametric processes, which is valid in the linear as well as in the nonlinear gain regimes. The quantum fluctuations of the pump are treated to the fluctuations of the signal and idler, which allows us to investigate the noise properties of the pump both in the linear as well as in the nonlinear gain regimes This is opposed to existing, approximate quantum approaches that always treat the pump classically to ease analytical calculations.
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