Abstract

It is shown that the concept of topological phase transitions can be used to design nonlinear photonic structures exhibiting power thresholds and discontinuities in their transmittance. This provides a novel route to devising nonlinear optical isolators. We study three representative designs: (i) a waveguide array implementing a nonlinear 1D Su–Schrieffer–Heeger model, (ii) a waveguide array implementing a nonlinear 2D Haldane model, and (iii) a 2D lattice of coupled-ring waveguides. In the first two cases, we find a correspondence between the topological transition of the underlying linear lattice and the power threshold of the transmittance, and show that the transmission behavior is attributable to the emergence of a self-induced topological soliton. In the third case, we show that the topological transition produces a discontinuity in the transmittance curve, which can be exploited to achieve sharp jumps in the power-dependent isolation ratio.

Highlights

  • Nonreciprocal light transmission plays a key role in modern optical technologies

  • Khanikaev, and Alù have shown that such a model can exhibit a self-induced topological transition [42], in which the nonlinearity drives a local region of the lattice into a different topological phase, giving rise to selftrapped soliton-like edge states

  • We have studied how optical isolation can be accomplished in three different models of topological photonics

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Summary

September 2017

Original content from this work may be used under the terms of the Creative Abstract. Any further distribution of structures exhibiting power thresholds and discontinuities in their transmittance. This provides a this work must maintain attribution to the novel route to devising nonlinear optical isolators. Implementing a nonlinear 2D Haldane model, and (iii) a 2D lattice of coupled-ring waveguides. In the first two cases, we find a correspondence between the topological transition of the underlying linear lattice and the power threshold of the transmittance, and show that the transmission behavior is attributable to the emergence of a self-induced topological soliton. We show that the topological transition produces a discontinuity in the transmittance curve, which can be exploited to achieve sharp jumps in the power-dependent isolation ratio

Introduction
Nonlinear coupled waveguide arrays
Nonlinear coupled ring lattices
Discussion and conclusions

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