First-principles method for high-$Q$ photonic crystal cavity mode calculations

Details First-principles method for high-$Q$ photonic crystal cavity mode calculations First-principles method for high-$Q$ photonic crystal cavity mode calculations

2012-04-12

arxiv.org/abs/1204.2855v1

Physics

Optics

Scientific paper

We present a first-principles theory to compute radiation properties of ultra-high quality factor photonic crystal (PC) cavities using a basis of bound PC waveguide states. This method is used to compute the far-field radiation pattern and quality factor of cavity modes $\sim 100$ times more rapidly than conventional finite-difference time domain methods. Our method provides a simple rule for engineering the PC cavity far-field radiation pattern in high $Q$ cavities.

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