On Guided Waves Created by Line Defects

The propagation of guided waves in photonic crystal fibers (PCFs) is studied. A photonic crystal fiber can be regarded as a perfect two-dimensional photonic crystal (PC) with a line defect along the axial direction. Under the assumption that the background spectrum has gaps, we give a simple conditi...

Full description

Saved in:
Bibliographic Details
Published in:Journal of statistical physics 2008-03, Vol.130 (6), p.1197-1215
Main Authors: Miao, Dong, Ma, Fuming
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The propagation of guided waves in photonic crystal fibers (PCFs) is studied. A photonic crystal fiber can be regarded as a perfect two-dimensional photonic crystal (PC) with a line defect along the axial direction. Under the assumption that the background spectrum has gaps, we give a simple condition on the parameters of the medium and of the line defect, which ensures the rise of eigenvalues in a specified subinterval of the given gap of the photonic crystal fiber. Using the modified Combes-Thomas estimates, we prove that the eigenfunctions corresponding to the eigenvalues decay exponentially away from the line defect.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-008-9480-8