Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial

TL;DR

This paper demonstrates that topological edge states in a nonlinear SSH transmission line significantly enhance harmonic generation, leading to stronger higher-harmonic signals and potential applications in compact frequency generators.

Contribution

It introduces a nonlinear SSH lattice that leverages topological edge states to greatly increase harmonic generation, revealing new effects of nonlinearities on topological states.

Findings

Third-harmonic signals are 5 times stronger in topological lattice.

250-fold intensity contrast between topologically trivial and nontrivial configurations.

Topological edge modes enable nonlocal cross-phase nonlinearities.

Abstract

Nonlinear transmission lines (NLTLs) are nonlinear electronic circuits commonly used for parametric amplification and pulse generation. It has previously been shown that harmonic generation can be enhanced, and shock waves suppressed, in so-called "left-handed" NLTLs, a manifestation of the unique properties of left-handed media. Here, we demonstrate that harmonic generation in a left-handed NLTL can be greatly increased by the presence of a topological edge state. Our NLTL is a nonlinear analogue of the Su-Schrieffer-Heeger (SSH) lattice. Recent studies of nonlinear SSH circuits have investigated the solitonic and self-focusing behaviors of modes at the fundamental harmonic. We find, however, that frequency-mixing processes in an SSH NLTL have important effects that have previously been neglected. The presence of a topological edge mode at the first harmonic can produce strong higher-harmonic signals that propagate into the lattice, acting as an effectively nonlocal cross-phase nonlinearity. We observe maximum third-harmonic signal intensities that are 5 times that of a comparable left-handed NLTL of a conventional design, and a 250-fold intensity contrast between the topologically nontrivial and trivial lattice configurations. Our work may have applications for compact electronic frequency generators, as well as for advancing the fundamental understanding of the effects of nonlinearities on topological states.