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Conferences > IPNRA > 2008 > IMF > IMF3

Analyzing Second Harmonic Generation in Photonic Crystals by Dirichlet-to-Neumann Maps

Lijun Yuan and Ya Yan Lu

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Abstract

A frequency domain numerical method is developed for analyzing second harmonic generation in two-dimensional photonic crystals composed of circular cylinders in a square lattice. The method makes use of the Dirichlet-to-Neumann (DtN) maps of the unit cells to significantly reduce the total number of unknowns. An efficient Chebyshev collocation method is used to calculate a local contribution to the second harmonic field in each unit cell.

© 2008 Optical Society of America

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