Abstract
Modulation instability is one of the most ubiquitous phenomena in physics. Here we investigate the phase-sensitive properties of modulation instability with harmonic seeding in passive fiber resonators. Theoretical investigations based on the Lugiato−Lefever equation with time dependent pump and a three-wave truncation show that the dynamics of the system is sensitive to the relative phase between input signal, idler, and pump waves. The modulation instability gain can even vanish for a peculiar value of the initial relative phase. An advanced multi-heterodyne measurement technique had been developed to record the real time evolution, round-trip to round-trip, of the power and phase of the output cavity field to confirm these theoretical predictions.
Highlights
Modulation instability is one of the most ubiquitous phenomena in physics
We investigate the dynamics of this system by expanding the intra-cavity electric field by considering these three Fourier modes[23,24]
In order to derive simple analytical expressions to predict the dynamics of the system, we focus on the following configuration where: (i) β1ΩL = 2mπ (m 2 Z)p, tffiffiherefore δ0 = δi = δs, (ii) the regime is monostable (δ0=α < 3,25), (iii) the input signal and idler have equal amplitudes and phases (Ps,in = Pi,in and φs,in = φi,in, which entails φs = φi and Ps = Pi), and (iv) signal and idler powers are much weaker than the pump one (P0,in ≫ Pi/s,in)
Summary
Modulation instability is one of the most ubiquitous phenomena in physics. Here we investigate the phase-sensitive properties of modulation instability with harmonic seeding in passive fiber resonators. 1234567890():,; In dispersive and weakly nonlinear systems, a continuous wave (CW) may be unstable with respect to small perturbations This phenomenon, known as modulation instability (MI) leads to the amplification of low frequency disturbances at the expense of the strong CW1. Potentially noiseless amplification can be achieved when signal and idler waves with symmetric frequency shifts with respect to the pump are launched simultaneously at the fiber input. In this configuration, the parametric gain depends on the relative phase of the input waves (phase-sensitive amplifiers3,5), giving rise to so called squeezed photon states. As weak powers are required to reach the cavity MI threshold, most of the work has been performed with
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