A unified Fourier transform theory for photonic crystal and FBG filters in the strong coupling regime

Author

Parker, Michael C. ; Walker, Stuart D.

Volume

14

Issue

9

fYear

2002

Firstpage

1321

Lastpage

1323

Abstract

The authors present a new Fourier transform theory which provides analytic results for both strongly coupled fiber Bragg grating and photonic crystal filter structures. Trigonometric and hyperbolic descriptions of these important passive optical devices are well known for the regular grating case. However, the unified approach presented here, which is based upon a modified Debye-Waller approach to the analytical solution of the coupled-mode equations, allows intuitive, yet accurate appraisal of arbitrary-strength-coupled structures. It is also applicable to perturbed-periodic gratings, such as linearly chirped devices for dispersion compensation.

Keywords

Bragg gratings; Fourier transform optics; coupled mode analysis; optical fibre filters; optical transfer function; optical waveguide filters; photonic band gap; refractive index; Fourier conjugate variables; arbitrary-strength-coupled structures; arrayed-waveguide gratings; coupled-mode equations; detuning parameter; dispersion compensation; distributed grating structures; linearly chirped devices; longitudinal gratings; modified Debye-Waller approach; perturbed-periodic gratings; photonic crystal filter; strong coupling regime; strongly coupled fiber Bragg grating filter; transfer function; unified Fourier transform theory; wavelength selectivity; Appraisal; Bragg gratings; Chirp; Equations; Fiber gratings; Filtering theory; Fourier transforms; Optical devices; Optical fiber filters; Photonic crystals;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/LPT.2002.801047

Filename

1032367