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Journal ArticleDOI

Localized function method for modeling defect modes in 2-D photonic crystals

TLDR
In this paper, a vector treatment of electromagnetic modes localized at defects in two-dimensional (2D) photonic crystals is presented. But the method represents the fields in terms of orthogonal functions localized at the defect and is a fully vector treatment.
Abstract
We present a novel, general, and numerically efficient treatment of electromagnetic modes localized at defects in two-dimensional (2-D) photonic crystals. The method represents the fields in terms of orthogonal functions localized at the defect and is a fully vector treatment.

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Citations
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Journal ArticleDOI

Photonic crystal fibers

TL;DR: In this article, a periodic array of microscopic air holes that run along the entire fiber length are used to guide light by corralling it within a periodic arrays of microscopic holes.
Journal ArticleDOI

Maximally-localized Wannier Functions: Theory and Applications

TL;DR: In this paper, the authors present a survey of the use of Wannier functions in the context of electronic-structure theory, including their applications in analyzing the nature of chemical bonding, or as a local probe of phenomena related to electric polarization and orbital magnetization.
Journal ArticleDOI

Photonic-Crystal Fibers

TL;DR: The history, fabrication, theory, numerical modeling, optical properties, guidance mechanisms, and applications of photonic-crystal fibers are reviewed.
Journal ArticleDOI

Photonic Crystal Fibers

TL;DR: In this article, different properties possible to obtain in photonic crystal fibers are reviewed and fabrication and modeling methods are also discussed, and different properties of photonic bandgap effect are discussed.
Journal ArticleDOI

Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: application to photonic crystal fibers

TL;DR: In this article, a full vectorial imaginary distance beam propagation method based on a finite element scheme is proposed to investigate the leakage due to a finite number of arrays of air holes in photonic-crystal holey fibers (HFs).
References
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Journal ArticleDOI

Endlessly single-mode photonic crystal fiber.

TL;DR: An effective-index model confirms that an all-silica optical fiber made by embedding a central core in a two-dimensional photonic crystal with a micrometer-spaced hexagonal array of air holes can be single mode for any wavelength.
Journal ArticleDOI

Existence of a Photonic Gap in Periodic Dielectric Structures

TL;DR: It is determined that dielectric spheres arranged in the diamond structure do possess a full photonic band gap, and this gap exists for refractive-index contrasts as low as 2.5%.
Book Chapter

Optical waveguide theory

TL;DR: In this article, the authors outline the key principles and parameters which describe and define the operation of optical waveguides and fibres, including dispersion and non linear effects, and provide the foundation for understanding the detailed operation of a wide variety of optical components.
Journal ArticleDOI

Photonic Band Gap Guidance in Optical Fibers

TL;DR: A fundamentally different type of optical waveguide structure is demonstrated, in which light is confined to the vicinity of a low-index region by a two-dimensional photonic band gap crystal.
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