Abstract

Considering a bidirectionally pumped ring microresonator, we provide a concise derivation of the model equations allowing us to eliminate the repetition rate terms and reduce the nonlinear interaction between the counter-propagating waves to the power-dependent shifts of the resonance frequencies. We present the simulation results of the soliton control by swiping the frequency of the counter-propagating wave in the forward and backward directions and with the soliton-blockade effect either present or not. We highlight the non-reciprocity of the forward and backward scans. Furthermore, we report the soliton crystals and breathers existing in the vicinity of the blockade interval.

Highlights

  • IntroductionControlling Microresonator Solitons with the Counter-Propagating Pump

  • 3–6 orders of magnitude boost to the circulating powers relative to the input one [16]. This creates a variety of opportunities for efficient nonlinear control of optical signals, and, in particular, the soliton blockade effect utilizes the high sensitivity of the nonlinear response of one of the fields towards the changes of the driving frequency of the counter-propagating one

  • We demonstrate there that the soliton-crystals, well known in the unidirectionally pumped resonators [19,20], emerge from the edges of the blockade interval

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Summary

Introduction

Controlling Microresonator Solitons with the Counter-Propagating Pump. 3–6 orders of magnitude boost to the circulating powers relative to the input one [16] This creates a variety of opportunities for efficient nonlinear control of optical signals (see, e.g., [17,18] and references therein), and, in particular, the soliton blockade effect utilizes the high sensitivity of the nonlinear response of one of the fields towards the changes of the driving frequency of the counter-propagating one. We demonstrate there that the soliton-crystals, well known in the unidirectionally pumped resonators [19,20], emerge from the edges of the blockade interval We performed both forward and backwards adiabatic scans of the control field frequency and demonstrate non-reciprocity of the soliton-blockade effect (see Section 4).

Redefining the Envelope Functions and Eliminating the Repetition-Rate Terms
Controlling Solitons by Tuning the Cw-Component
Soliton Stability and Breathers
Summary

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