Excitation of absorbing exceptional points in the time domain

TL;DR

This paper explores how resonators with exceptional points (EPs) exhibit unique time-domain behaviors, enabling perfect waveform capture, improved energy storage, and waveform conversion, demonstrated through analytical and optical system examples.

Contribution

It introduces the analysis of time-domain dynamics at EPs, revealing new waveform capture capabilities and potential applications in energy storage and waveform conversion.

Findings

EPs enable perfect waveform capture in the time domain

Resonators with EPs show enhanced energy storage performance

Waveform conversion is possible within the class supported by EP resonators

Abstract

We analyze the time-domain dynamics of resonators supporting exceptional points (EPs), at which both the eigenfrequencies and the eigenmodes associated with perfect capture of an input wave coalesce. We find that a time-domain signature of the EP is an expansion of the class of waveforms which can be perfectly captured. We show that such resonators have improved performance for storage or transduction of energy. They also can be used to convert between waveforms within this class. We analytically derive these features and demonstrate them for several examples of coupled optical resonator systems.