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Journal ArticleDOI

Transfer-matrix method based on perturbation expansion for periodic and quasi-periodic binary long-period gratings

Gia-Wei Chern, +1 more
- 01 Nov 1999 - 
- Vol. 16, Iss: 11, pp 2675-2689
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TLDR
In this article, a transfer matrix method based on perturbation expansion is proposed as an alternative way of simulating the transmission spectrum of a binary long-period grating (LPG).
Abstract
A transfer-matrix method based on perturbation expansion is proposed as an alternative way of simulating the transmission spectrum of a binary long-period grating (LPG). We first generalize the concept of transfer matrices for a heterojunction waveguide. For the couplings among copropagating modes, forward transfer matrices are used to describe the evolution of mode amplitudes along the grating. We show that these elements are related to the well-known coupling coefficients. The method is then used for the study of ideal two-mode grating couplers, and analytic solutions are obtained. We also use the matrix method to study multimode couplings in a LPG and compare the results with those obtained by using the coupled-mode theory. To further demonstrate its usefulness, we apply the method to a special quasi-periodic LPG, the Fibonacci grating. The results show that each cladding mode contributes to several transmission dips and that the dips of different cladding modes are grouped according to the special resonance conditions.

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Citations
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Journal ArticleDOI

Corrugated long-period fiber gratings as strain, torsion, and bending sensors

TL;DR: In this article, a corrugated long-period fiber grating whose transmission spectra are highly sensitive to the applied tensile strain, torsion, and bending due to the periodical index modulation created and changed by these mechanic forces is presented.
Journal ArticleDOI

A torsion sensor made of a corrugated long period fibre grating

TL;DR: Based on the photoelastic effect, the strain distribution within a corrugated long period fiber grating subjected to tensile stress and twisting will cause a periodic index variation, which may result in resonant couplings between fibre core and cladding modes.
Journal ArticleDOI

Periodical corrugated structure for forming sampled fiber Bragg grating and long-period fiber grating with tunable coupling strength

TL;DR: In this paper, a novel corrugated structure on an optical fiber is proposed and demonstrated to produce tunable long-period index modulation based on photoelastic effect, and the coupledmode theory based on Fourier series expansion is also developed.
Journal ArticleDOI

Sensitivity enhancement in a multimode interference-based SMS fibre structure coated with a thin-film: Theoretical and experimental study

TL;DR: In this paper, a pH sensor with a layer-by-layer assembly of a high refractive index thin-film on a single-mode-multimode-single-mode (SMS) fiber structure is presented.
Journal ArticleDOI

Mode transition in complex refractive index coated single-mode–multimode–single-mode structure

TL;DR: The results obtained prove that a thin-film coated SMS structure is a simple and cost-effective platform for development of sensors and optical filters.
References
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Book

Thin-film optical filters

H. A. Macleod
TL;DR: In this paper, the authors present a theoretical analysis of thin-film dielectric materials and apply it to filter and coating applications, showing that layer uniformity and thickness monitoring are important factors affecting layer and coating properties.
Book

Theory of dielectric optical waveguides

TL;DR: The asymmetric slab waveguide weakly guiding optical fibers coupled mode theory applications of the coupled power theory theory of the directional coupler grating-assisted direction couplers approximate and numerical methods nonlinear effects as discussed by the authors.
Journal ArticleDOI

Formation of Bragg gratings in optical fibers by a transverse holographic method

G. Meltz, +2 more
- 01 Aug 1989 - 
TL;DR: Bragg gratings have been produced in germanosilicate optical fibers by exposing the core, through the side of the cladding, to a coherent UV two-beam interference pattern with a wavelength selected to lie in the oxygen-vacancy defect band of germania, near 244 nm.

Long-period fiber grating as band-rejection filters

TL;DR: In this paper, a new class of long-period fiber gratings that can be used as in-fiber, low-loss, band-rejection filters is presented.
Journal ArticleDOI

Long-period fiber gratings as band-rejection filters

TL;DR: In this paper, a new class of long-period fiber gratings that can be used as in-fiber, low-loss, band-rejection filters is presented.
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