Abstract

We consider the lateral optical force between a resonator and a waveguide, and study the possibility of an equilibrium that occurs solely from the optical force in such system. We prove analytically that a single-resonance system cannot give such an equilibrium in the 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.

Highlights

  • We find that an optical equilibrium cannot occur if the resonator supports only a single resonance in the vicinity of the operating frequency

  • By assuming that the total force is the sum of the contributions from the two resonances, we see that the optical equilibrium can only occur at the frequencies between ωz’s of the two resonances, where the contributions from the two resonances are in opposite directions

  • We studied the optical equilibrium in the lateral optical force in resonatorwaveguide system

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Summary

INTRODUCTION

There have been significant recent interests on the optical force in photonic nanostructures [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18], such as coupled waveguides system [4,5,6,7,8,9], coupled resonator-waveguide systems [10,11,12,13], or coupled resonators systems [14,15,16,17,18]. As one set of examples we note the demonstrations of the bending of optical waveguides, either by the optical force between two parallel waveguides [7,8,9], or the force between a resonator and a feeding waveguide [12]. It is interesting to explore whether it is possible to achieve an equilibrium just by using the optical force alone We refer to such an equilibrium that arises purely by using optical force alone as an ”optical equilibrium” for the rest of the paper. [15] has shown that it is possible to achieve such a pure optical equlibrium between two resonators; for a given operating frequency, the optical force has an equilibrium point; the optical force is repulsive for a small separation between the two resonators, and attractive for a large separation.

Theory
Numerical example
CREATING AN OPTICAL EQUILIBRIUM USING TWO RESONANCES
First example: a bumped ring resonator
SUMMARY

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