Coupled wave analysis of multiple waveguide systems: The discrete harmonic oscillator

Planar arrays of coupled synchronous waveguides are analyzed with regard to full power transfer between the outermost guides. It is shown analytically, that in an N -guide synchronous system the coupling coefficients have to be tapered parabolically, in agreement with previous empirical results; the...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 1985-12, Vol.21 (12), p.1893-1898
Main Author: Kuznetsov, M.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Electric, optical and optoelectronic circuits
Electronics
Equations
Exact sciences and technology
Harmonic analysis
Integrated optics. Optical fibers and wave guides
Optical and optoelectronic circuits
Optical devices
Optical waveguides
Oscillators
Planar waveguides
Propagation constant
Semiconductor laser arrays
Semiconductor waveguides
Transmission line matrix methods
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Summary:Planar arrays of coupled synchronous waveguides are analyzed with regard to full power transfer between the outermost guides. It is shown analytically, that in an N -guide synchronous system the coupling coefficients have to be tapered parabolically, in agreement with previous empirical results; the propagation constants of this system are equi-spaced. We prove that full transfer indeed occurs and determine the coupling length of the system. The mode interference picture provides a physical interpretation of the full transfer phenomenon. This multiple waveguide system is a discrete analog of the quantum mechanical harmonic oscillator.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.1985.1072607