Prediction and observation of topological modes in fractal nonlinear optics

Boris A. Malomed

doi:10.1038/s41377-024-01709-6

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Prediction and observation of topological modes in fractal nonlinear optics

News & Views

- Prediction and observation of topological modes in fractal nonlinear optics
- Light: Science & Applications Vol. 14, Issue 1, Pages: 30-33(2025)
- Affiliations：
  
  Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University, Tel Aviv, Israel
- Author bio：
  
  Boris A. Malomed (malomed@tauex.tau.ac.il)
- Funds：
- DOI：10.1038/s41377-024-01709-6
  CLC：
- Published：31 January 2025，
  
  Published Online：03 January 2025，
- Accepted：
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Malomed, B. A. Prediction and observation of topological modes in fractal nonlinear optics. Light: Science & Applications, 14, 30-33 (2025).
DOI：

Malomed, B. A. Prediction and observation of topological modes in fractal nonlinear optics. Light: Science & Applications, 14, 30-33 (2025). DOI： 10.1038/s41377-024-01709-6.

摘要

Abstract

This item from the News and Views (N

V) category aims to provide a summary of theoretical and experimental results recently published in ref.

which demonstrates the creation of corner modes in nonlinear optical waveguides of the higher-order topological insulator (HOTI) type. Actually

these are second-order HOTIs

in which the transverse dimension of the topologically protected edge modes is smaller than the bulk dimension (it is 2

in the case of optical waveguide) by 2

implying zero dimension of the protected modes

which are actually realized as corner or defect ones. Work

reports the prediction and creation of various forms of the corner modes in a HOTI with a fractal transverse structure

represented by the

Sierpiński gasket

(SG). The self-focusing nonlinearity of the waveguide's material transforms the corner mod

es into corner solitons

almost all of which are stable. The solitons may be attached to external or internal corners created by the underlying SG. This N

V item offers an overview of these new findings reported in ref.

and other recent works

and a brief discussion of directions for further work on this topic.

关键词

Keywords

references

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