# Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides

## TL;DR

This paper introduces an active plasmonic waveguide system that exhibits exceptional points and spectral singularities, enabling novel functionalities like reflectionless transmission, loss compensation, and lasing at nanoscale with low gain.

## Contribution

The study demonstrates the realization of exceptional points and spectral singularities in a symmetric active ENZ plasmonic system at low gain coefficients, with potential applications in nanophotonics.

## Key findings

- Achieved reflectionless ENZ transmission at the exceptional point
- Observed super scattering and lasing at spectral singularities
- Enabled low-gain, subwavelength active ENZ nanophotonic devices

## Abstract

We present a nanoscale active plasmonic waveguide system consisting of an array of periodic slits that can exhibit exceptional points and spectral singularities leading to several novel functionalities. The proposed symmetric active system operates near its cut-off wavelength and behaves as an effective epsilon-near-zero (ENZ) medium. We demonstrate the formation of an exceptional point (EP) that is accessed with very low gain coefficient values, a unique feature of the proposed nanoscale symmetric plasmonic configuration. Reflectionless ENZ transmission and perfect loss-compensation are realized at the EP which coincides with the effective ENZ resonance wavelength of the proposed array of active plasmonic waveguides. When we further increase the gain coefficient of the dielectric material loaded in the slits, a spectral singularity occurs at the ENZ resonance leading to super scattering (lasing) response at both forward and backward directions. These interesting effects are achieved by materials characterized by very small gain coefficients with practical values and at subwavelength scales due to the strong and homogeneous field enhancement inside the active slits at the ENZ resonance leading to enhanced light-matter interaction. We theoretically analyze the obtained EP, as well as the divergent spectral singularity, using a transmission-line model and investigate the addition of a second incident wave and nonlinearities in the response of the proposed active ENZ plasmonic system. Our findings provide a novel route towards interesting nanophotonic applications, such as reflectionless active ENZ media, unidirectional coherent perfect absorbers, nanolasers, and strong optical bistability and all-optical switching nanodevices.

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Source: https://tomesphere.com/paper/1812.04997