Exact modelling of generalised defect modes in photonic crystal structures

An exact theory for modelling modes of generalised defects in 2D photonic crystals (PCs) with a genuinely infinite cladding is presented. The approach builds on our fictitious source superposition method for simple defects and permits an elegant extension allowing the modelling of arbitrary defects....

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Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 2007-05, Vol.394 (2), p.330-334
Main Authors: Dossou, K.B., Botten, L.C., Wilcox, S., McPhedran, R.C., de Sterke, C.M., Nicorovici, N.A., Asatryan, A.A.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Defect modes
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Integrated optics. Optical fibers and wave guides
Optical and optoelectronic circuits
Optical materials
Optics
Photonic bandgap materials
Photonic crystals
Physics
Resonant cavities
Waveguides
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Summary:An exact theory for modelling modes of generalised defects in 2D photonic crystals (PCs) with a genuinely infinite cladding is presented. The approach builds on our fictitious source superposition method for simple defects and permits an elegant extension allowing the modelling of arbitrary defects. Numerical results that demonstrate the accuracy and efficiency of the extended method are presented. We also use the method to study the evolution of the mode generated by varying the refractive index of a single defect cylinder and find significant differences between the behaviour of defects in rod-type and hole-type PCs.
ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2006.12.040