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Journal of Lightwave Technology

Analytical Solution of Amplitude Ratio in Optical Phase Quantization Based on Phase Sensitive Amplification

Hongxiang Wang, Tong Liu, Kunrui Tong, Yuefeng Ji, Lin Bai

Published Jan 1, 2018• 5 citations

Abstract

A detailed derivation is presented for the analytical solution of the optimal amplitude ratio m between the signal and its harmonic for M-level optical phase quantization of a signal with uniform phase distribution based on the phase sensitive amplification. A new method is proposed to evaluate the performance of phase quantization by calculating the first-order absolute central moment of the phase of the quantized signals. The constellations and phase distribution histograms with different amplitude ratios are simulated, and the first-order absolute central movement is calculated to validate the analytical solution of the optimal amplitude ratio. We also obtain the optimal amplitude ratio m for phase regeneration of signals with Gaussian phase noise based on the dual-wave interference, as well as the amplitude ratios (m, n) of three-level optical phase quantization based on the triple-wave interference, and we prove the accuracy improvement of phase quantization based on the triple-wave interference through calculation. The constellations, as well as the phase distribution histograms of the triple-wave interference are simulated, and the first-order absolute central moment is calculated to prove the accuracy improvement.

DOI: 10.1109/jlt.2018.2837872

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Phase-sensitive amplifiers (PSAs) can work as M - level phase quantizers when waves generated with specific phase values are allowed to mix coherently in a nonlinear medium. The quality of an M - level phase quantizer depends on the relative powers of the mixing waves and requires their optimization. If the mixing waves also experience gain in the nonlinear medium, such as in semiconductor optical amplifiers (SOAs), this optimization becomes non-trivial. In this paper, we present a general method to optimize phase quantization using a PSA made using an SOA, based on gain extinction ratio (GER), which is an experimentally measurable quantity. We present a simple theory to derive the optimal GER required to achieve an M -level quantization. We further experimentally demonstrate two- and four-level phase quantization schemes with an SOA, operated at the optimized GER, with pump power levels as low as 1 mW.

A newly proposed concept, which is called hybrid optical phase squeezer (HOPS), achieves multi-level optical phase quantization through coherent addition of two (dual-wave scheme) or three (triple-wave scheme) optical waves exploiting optical parametric processes and electro-optic modulation. The triple-wave scheme enables signal phase regeneration free from phase-to-amplitude noise transfer, which is inevitable in the dual-wave scheme. By using HOPS in the dual-wave scheme, 3-fold phase-noise reduction was achieved for 24-Gb/s QPSK signals with a slight increase of amplitude noise. On the other hand, HOPS in the triple-wave scheme allowed phase regeneration of 12-Gb/s BPSK signal with a suppression of phase-to-amplitude noise transfer.