Ultra-flat bands in two-dimensional photonic crystals

Mihai Ibanescu; Marin Soljacic; Steven G. Johnson; J. D. Joannopoulos

doi:10.1117/12.652776

28 February 2006 Ultra-flat bands in two-dimensional photonic crystals

Mihai Ibanescu, Marin Soljacic, Steven G. Johnson, J. D. Joannopoulos

Proceedings Volume 6128, Photonic Crystal Materials and Devices IV; 612808 (2006) https://doi.org/10.1117/12.652776
Event: Integrated Optoelectronic Devices 2006, 2006, San Jose, California, United States

Abstract

We show that two-dimensional photonic crystals can be designed to have dispersion relations with an extended ultra-flat cross-section, meaning that for a fixed wave vector component k_x the frequency of a band is almost constant when the other wave vector component, k_y, takes all possible values. These ultra-flat bands are the result of a non-trivial saddle point in the dispersion relation located in the interior of the Brillouin zone. Interesting consequences include 1D-like behavior, improved super-collimation, and enhanced density of states.

Citation Download Citation

Mihai Ibanescu, Marin Soljacic, Steven G. Johnson, and J. D. Joannopoulos "Ultra-flat bands in two-dimensional photonic crystals", Proc. SPIE 6128, Photonic Crystal Materials and Devices IV, 612808 (28 February 2006); https://doi.org/10.1117/12.652776

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