An optical equilibrium in lateral waveguide-resonator optical force

TL;DR

This paper investigates the conditions under which a lateral optical force between a waveguide and resonator can reach equilibrium, demonstrating that single-resonance systems cannot, but two-resonance systems can achieve this balance.

Contribution

It analytically proves the impossibility of optical equilibrium in single-resonance systems and introduces conditions for equilibrium in two-resonance systems, supported by numerical examples.

Findings

Single-resonance systems cannot achieve optical equilibrium.

Two-resonance systems can provide stable optical equilibrium.

Provided an intuitive method to predict equilibrium existence.

Abstract

We consider the lateral optical force between resonator and waveguide, and study the possibility of an equilibrium that occurs solely from the optical force. We prove analytically that a single- resonance system cannot give such an equilibrium in resonator-waveguide force. We then show that two-resonance systems can provide such an equilibrium. We provide an intuitive way to predict the existence of an equilibrium, and give numerical examples.