An isomorphic Fourier transform approach to light propagation in AWGs, FBGs, and photonic crystals

Authors:
Michael C. Parker;Stuart D. Walker
Affiliations:
Fujitsu Network Communications Inc., Photonics Networking Laboratory, Richardson, TX and Fujitsu Telecom Europe Ltd. Research, 38 Byron Avenue, Colchester, Essex CO3 4HG, UK;University of Essex, Department of Electronic Systems Engineering, Wivenhoe Park, Colchester, Essex CO4 3SQ, UK
Venue:
Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Photonics, networking & computing
Year:
2003

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Abstract

We have identified a comprehensive isomorphism between arrayed-waveguide grating (AWG), fibre Bragg grating (FBG) and photonic crystal (PC) devices, which allows the design characteristics of the former transverse geometry to be mapped on to the latter longitudinal structures. In this paper, we present a unified Fourier transform (FT) approach to the study of these important passive optical grating-based devices.