An isomorphic Fourier transform analysis of AWGs and FBGs

Author

Parker, Michael C. ; Walker, Stuart D. ; Mears, Robert J.

Volume

13

Issue

9

fYear

2001

Firstpage

972

Lastpage

974

Abstract

We present a previously unknown equivalence relationship between the spectral transfer functions of arrayed-waveguide gratings and fiber Bragg gratings (FBGs). We find that both devices can be characterized using a functionally identical Fourier transform (FT) integral; the single difference being that the FT lies within a simple hyperbolic function for the FBG case. Thus, the mode of operation of one device informs and yields insights into the operation of the other device.

Keywords

Bragg gratings; Fourier transform optics; optical arrays; optical communication equipment; optical fibre communication; optical transfer function; optical waveguide components; wavelength division multiplexing; arrayed-waveguide gratings; device operation; equivalence relationship; fiber Bragg gratings; functionally identical Fourier transform integral; isomorphic Fourier transform analysis; operation mode; simple hyperbolic function; spectral transfer functions; Arrayed waveguide gratings; Bragg gratings; Fiber gratings; Finite impulse response filter; Fourier transforms; IIR filters; Optical arrays; Optical waveguides; Phased arrays; Transfer functions;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.942664

Filename

942664