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Title: Pathway interference in a loop array of three coupled microresonators

Abstract

A system of three coupled toroidal microresonators arranged in a loop configuration is studied. This setup allows light entering the resonator setup from a tapered fiber to evolve along a variety of different pathways before leaving again through the fiber. In particular, the loop configuration of the resonators allows for an evolution which we term round-trip process, in which the light evolves from one resonator sequentially through all others back to the initial one. This process renders the optical properties of the system sensitive to the phases of all coupling and scattering constants in the system. We analyze the transmission and reflection spectra, and interpret them in terms of interference between the various possible evolution pathways through the resonator system. In particular, we focus on the phase dependence of the optical properties. Finally, we discuss possible applications for this phase sensitivity induced by the round-trip process, such as the measurement of the position of a nanoparticle close to one of the resonators and the measurement of changes in the refractive index between two resonators. Our analytical results for the applications are supported by proof-of-principle calculations based on the finite-difference time-domain solution of Maxwell's equations in two dimensions on a grid.

Authors:
; ;  [1]
  1. Max-Planck-Institut fuer Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg (Germany)
Publication Date:
OSTI Identifier:
22058767
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIGHT TRANSMISSION; MATHEMATICAL SOLUTIONS; MAXWELL EQUATIONS; OPTICAL FIBERS; REFRACTIVE INDEX; RESONATORS; SPECTRA

Citation Formats

Schmid, Sandra Isabelle, Xia Keyu, and Evers, Joerg. Pathway interference in a loop array of three coupled microresonators. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.013808.
Schmid, Sandra Isabelle, Xia Keyu, & Evers, Joerg. Pathway interference in a loop array of three coupled microresonators. United States. doi:10.1103/PHYSREVA.84.013808.
Schmid, Sandra Isabelle, Xia Keyu, and Evers, Joerg. Fri . "Pathway interference in a loop array of three coupled microresonators". United States. doi:10.1103/PHYSREVA.84.013808.
@article{osti_22058767,
title = {Pathway interference in a loop array of three coupled microresonators},
author = {Schmid, Sandra Isabelle and Xia Keyu and Evers, Joerg},
abstractNote = {A system of three coupled toroidal microresonators arranged in a loop configuration is studied. This setup allows light entering the resonator setup from a tapered fiber to evolve along a variety of different pathways before leaving again through the fiber. In particular, the loop configuration of the resonators allows for an evolution which we term round-trip process, in which the light evolves from one resonator sequentially through all others back to the initial one. This process renders the optical properties of the system sensitive to the phases of all coupling and scattering constants in the system. We analyze the transmission and reflection spectra, and interpret them in terms of interference between the various possible evolution pathways through the resonator system. In particular, we focus on the phase dependence of the optical properties. Finally, we discuss possible applications for this phase sensitivity induced by the round-trip process, such as the measurement of the position of a nanoparticle close to one of the resonators and the measurement of changes in the refractive index between two resonators. Our analytical results for the applications are supported by proof-of-principle calculations based on the finite-difference time-domain solution of Maxwell's equations in two dimensions on a grid.},
doi = {10.1103/PHYSREVA.84.013808},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}