Observation of topologically enhanced third harmonic generation in doubly resonant nonlinear topolectrical circuits

The ability to confine and guide wave makes topological physics a promising platform for large local field enhancement and strong scattering immunity, which enables efficient nonlinear processes. In this research, we employ a mirror-stacking approach to achieve resonance through two distinct frequency localized states (LSs) in one-dimensional topological circuits, introducing a novel method for validating topological states to facilitate harmonic enhancement. Experimental results reveal that the harmonic wave power increases significantly, by two orders of magnitude, when both the fundamental and harmonic waves are in LSs, in contrast to cases where only one wave is localized. The conversion efficiency is 15.7 times that when the fundamental wave is in a localized state and the harmonic is in a transmission mode. This method, leveraging double-resonance in topological LSs, not only advances harmonic generation in topolectrical circuits but also opens up possibilities for innovative applications in the broader field of photonic technology. This paper presents a study on topologically enhanced third harmonic generation within resonant nonlinear topolectrical circuits. The authors demonstrate that the implementation of a mirror-stacking approach in one-dimensional topological circuits enables achieving significant harmonic wave power increase, leading to efficient nonlinear processes.