# Loss compensation symmetry in dimers made of gain and lossy nanoparticles

## TL;DR

This paper investigates eigenoscillations in a gain-loss nanoparticle dimer, revealing new symmetry modes that enable complete loss compensation with less gain, advancing optical loss management techniques.

## Contribution

It introduces Loss Compensation Symmetry (LCS), a novel symmetry mode allowing full loss compensation with reduced gain compared to PT symmetry.

## Key findings

- LCS modes enable complete loss compensation.
- LCS requires less gain than PT symmetric modes.
- Exact analytical approach confirms the existence of these modes.

## Abstract

The eigenoscillations in a two-dimensional dimer made of gain and lossy nanoparticles were investigated within exact analytical approach. It was shown that there are eigenoscillations for which all Joule losses are exactly compensated by the gain. Among such solutions, there are solutions with a new type of symmetry, which we refer to as Loss Compensation Symmetry (LCS) as well as well-known PT (parity-time) symmetric solutions. The modes with LCS unlike PT symmetric ones allow one to achieve full loss compensation with significantly less gain that in the case of PT symmetry. This effect paves way to the new loss compensation methods in optics.

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Source: https://tomesphere.com/paper/1701.05787