Coupling between photonic crystal waveguides

A calculation procedure for evaluation of the coupling length of two parallel coupled channel waveguides in a planar photonic crystal is proposed. The first step of the calculation is evaluation of the band structure of a photonic crystal containing two coupled linear defects. The eigenvalue corresp...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 2002-10, Vol.38 (10), p.1349-1352
Main Authors: Kuchinsky, S., Golyatin, V.Y., Kutikov, A.Y., Pearsall, T.R., Nedelikovic, D.
Format: Article
Language:English
Subjects:
Channels
Crystal defects
Electromagnetic waveguides
Finite difference method
Finite difference methods
Joining
Mathematical analysis
Optical crosstalk
Optical planar waveguides
Optical propagation
Optical waveguides
Photonic crystals
Planar waveguides
Slabs
Splitting
Time domain analysis
Waveguides
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Summary:A calculation procedure for evaluation of the coupling length of two parallel coupled channel waveguides in a planar photonic crystal is proposed. The first step of the calculation is evaluation of the band structure of a photonic crystal containing two coupled linear defects. The eigenvalue corresponding to eigenstates localized in the linear defect (the waveguide) is split due to the coupling. This splitting is treated within the coupled-mode theory that yields a simple relation between the splitting and the coupling length. The MIT photonic bands code is used to evaluate the coupling between channel waveguides in silicon./sup 1/ These calculations show that in contrast to the finite-difference time-domain approach, the method is effective for three-dimensional light propagation.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.2002.802954