Abstract

Discrete-time signal processing (DSP) tools have been used to analyze numerous optical filter configurations in order to optimize their linear response. In this paper, we propose a DSP approach to design nonlinear optical devices by treating the desired nonlinear response in the weak perturbation limit as a discrete-time filter. Optimized discrete-time filters can be designed and then mapped onto a specific optical architecture to obtain the desired nonlinear response. This approach is systematic and intuitive for the design of nonlinear optical devices. We demonstrate this approach by designing autoregressive (AR) and autoregressive moving average (ARMA) lattice filters to obtain a nonlinear phase shift response.

Highlights

  • In order to satisfy the ever-increasing demand for high bit rates, generation optical communication networks can be made all-optical to overcome the electronic bottleneck and more efficiently utilize the intrinsic broad bandwidth of optical fibers

  • We design nonlinear optical devices that exhibit enhanced nonlinear phase shift response using microring resonators constructed from nonresonant nonlinear material

  • This paper shows that the Discrete-time signal processing (DSP) approach is a systematic and intuitive way to design nonlinear optical devices

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Summary

INTRODUCTION

In order to satisfy the ever-increasing demand for high bit rates, generation optical communication networks can be made all-optical to overcome the electronic bottleneck and more efficiently utilize the intrinsic broad bandwidth of optical fibers. Artificial resonances can be used in optical architectures to overcome the limitations of current nonlinear devices and materials [1]. We design nonlinear optical devices that exhibit enhanced nonlinear phase shift response using microring resonators constructed from nonresonant nonlinear material. A prototype linear frequency response (in the weak perturbation limit) is selected for the desired nonlinear optical device. An optimized discrete filter is designed to give the same frequency response as the prototype response desired from the optical architecture in the weak perturbation limit.

OPTICAL FILTERS AND z-TRANSFORMS
NONLINEAR OPTICAL PROCESSES
Nonlinear phase shift
PROTOTYPE RESPONSE FOR NONLINEAR PHASE SHIFT
OPTICAL ARCHITECTURES FOR NONLINEAR PHASE SHIFTER
DESIGN OF ARMA AND AR DISCRETE FILTERS
Design of AR discrete filters
Design of ARMA discrete filters
MAPPING DISCRETE FILTERS ONTO OPTICAL ARCHITECTURES
FROM DISCRETE RESPONSE TO THE OPTICAL RESPONSE
Design and synthesis example
Improving the nonlinear phase shift response
10.1. Design and synthesis example
10.2. Improving the nonlinear phase shift response
Findings
11. CONCLUSIONS
Full Text
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