In this work, we present a numerical study to investigate the transmission, extinction ratio, crosstalk and compression factor outputs of a Mach–Zehnder interferometer in photonic crystal fibers by varying the nonlinearity parameter of the fiber from β = 1 to β = 2 for three different nonlinearity profiles (constant, increasing and decreasing) and in three different scenarios (P0 = Pc, P0 < Pc and P0 > Pc). We observed that the highest transmission (T = 67%), the highest extinction ratio (XR = 3.57 dB) and the lowest crosstalk (Xtalk = -5.25 dB) occurred in the third scenario (P0 = 110 kW > Pc) considering the decreasing profile for β = 1.35. Such condition enables applications such as TDMA and logic circuits.
Tensor models have been used extensively in signal processing applications to design different types of communication systems. This paper proposes, for the first time, the use of tensor models for optical communications. The signals of an optical dual-core coupler network are modeled as a multiway array (tensor), which satisfies a generalized Tucker train decomposition. This tensor model is then used to develop an estimation algorithm that enables the network parameters to be estimated from the input and output signals. The performance of this algorithm was evaluated by means of computer simulations, in terms of NMSE of the estimated parameters and convergence speed. For the tested configurations, good levels of NMSE with fast convergence were obtained, demonstrating the effectiveness of the proposed method as a promising tool for studying and designing optical devices, with a wide range of applications in the context of lightwave systems.
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