Vector coupled-mode theory of dielectric waveguides

A consistent derivation of a system of vector coupled-mode (VCM) equations for parallel dielectric waveguides is presented and compared with earlier versions of the improved coupled-mode theory (ICMT). As a validity test, it is shown that the effectively scalar transverse electric and transverse mag...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 2003-07, Vol.39 (7), p.866-873
Main Authors: Kireev, A.N., Graf, T.
Format: Article
Language:English
Subjects:
Applied sciences
Arrays
Circuit properties
Derivation
Dielectric waveguides
Dielectrics
Distributed feedback devices
Electric, optical and optoelectronic circuits
Electromagnetic waveguides
Electronics
Exact sciences and technology
Formulations
Integrated optics. Optical fibers and wave guides
Joining
Mathematical analysis
Maxwell equations
Maxwell's equations
Optical and optoelectronic circuits
Optical arrays
Optical surface waves
Optical waveguide theory
Optical waveguides
Optical waveguides and couplers
Vectors (mathematics)
Vertical cavity surface emitting lasers
Waveguide theory
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Summary:A consistent derivation of a system of vector coupled-mode (VCM) equations for parallel dielectric waveguides is presented and compared with earlier versions of the improved coupled-mode theory (ICMT). As a validity test, it is shown that the effectively scalar transverse electric and transverse magnetic (TM) coupled-mode (CM) equations are direct limits of our full VCM formulation. In particular, our formulation does not lead to the fundamental error found with earlier coupled-mode theories (CMTs) in a case of TM fields. Functional equations of our VCMT are consistent with Maxwell's equations and lead to higher precision. They can be applied to complicated arrays of strongly coupled parallel dielectric waveguides with true vectorial behavior.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.2003.813187