## Abstract

Coupled mode theory for parallel waveguides is extended to include temporal variations of both the dielectric function of the photonic array and the input optical power. This formulation can be very useful for the design and comprehensive analysis of modern photonic devices, such as two-dimensional photonic crystals, represented by arrays of parallel waveguides. In the special case of a time-dependent input signal, but stationary dielectric constant, analytical solutions exist for the extended formulation. The accuracy and computer time of the formulation’s numerical solutions are examined against finite difference time domain and time-dependent beam propagation analyses of waveguide arrays.

© 2010 Optical Society of America

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