Abstract

We present an accurate and efficient method of modeling second-harmonic generation in two-dimensional structures by use of eigenmode expansion. By using the undepleted-pump approximation we uncouple the calculations for the fundamental and second harmonic. Expansion of the field in eigenmodes gives rise to a linear matrix formalism. The method includes reflections and is especially suited for periodic structures. Several examples, including a two-dimensional photonic-crystal-cavity device, are studied.

© 2005 Optical Society of America

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