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

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1 Author(s)
Kuznetsov, M. ; Massachusetts Institute of Technology, Cambridge, MA, USA

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.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:21 ,  Issue: 12 )