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Analytical and Numerical Studies of Waveguiding and Coupling in Periodic Dielectric Materials


Xu, Yong (2001) Analytical and Numerical Studies of Waveguiding and Coupling in Periodic Dielectric Materials. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/9988-YR54.


Using both analytical approaches and finite difference time domain simulations, we investigate different types of waveguiding and coupling mechanisms, including direct coupling between the optical resonators, waveguide-resonator coupling, indirect resonator coupling via waveguide modes, and Bragg reflection in cylindrically symmetric geometries.

By coupling an array of high Q optical resonators together, we form a new type of waveguide, coupled resonator optical waveguide (CROW), where photons propagate by "hopping" from one resonator to its nearest neighbors. Using tight-binding approximation, we find that the CROW band dispersion can be simply characterized by a coupling coefficient κ. The tight-binding results are confirmed by using the finite difference time domain algorithms to analyze two examples of CROW’s: one is composed of coupled defect cavities in a two-dimensional triangular lattice photonic crystal, while the other is formed by coupling an array of dielectric microdisk cavities.

By coupling a resonator to a waveguide, we significantly change the reflection and transmission characteristics of the waveguide. The waveguide dispersion can also be drastically modified by coupling an array of resonators to the waveguide, due to indirect coupling between the resonators via waveguide modes. Using a formalism based on the quantum scattering theory, we investigate how the waveguide-resonator coupling, resonator gain (loss), degeneracy and symmetries of the resonator modes influence the optical properties of such coupled waveguide-resonator systems.

Bragg guiding can be achieved in cylindrically symmetric geometries by using cladding media with alternating high and low refractive indices. Examples include Bragg fibers and dielectric coaxial fibers. An asymptotic formalism is developed to study the dispersion, propagation loss, and field distribution of guided modes in such fibers. The results are compared with those obtained from numerical calculations, where excellent agreement is found between the two approaches.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Yariv, Amnon
Thesis Committee:
  • Yariv, Amnon (chair)
  • Frautschi, Steven C.
  • Mabuchi, Hideo
  • Scherer, Axel
Defense Date:7 May 2001
Non-Caltech Author Email:yx.photonics (AT)
Record Number:CaltechETD:etd-01032005-131558
Persistent URL:
Xu, Yong0000-0001-5849-032X
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7
Deposited By: Imported from ETD-db
Deposited On:05 Jan 2005
Last Modified:18 Dec 2020 00:17

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