Design of photonic crystals with multiple and combined band gaps

We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse elec...

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Bibliographic Details
Main Authors: Men, Han, Nguyen, Ngoc Cuong, Freund, Robert Michael, Lim, K. M., Parrilo, Pablo A., Peraire, Jaime
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: American Physical Society 2011
Online Access:http://hdl.handle.net/1721.1/64936
https://orcid.org/0000-0002-8556-685X
https://orcid.org/0000-0002-1733-5363
https://orcid.org/0000-0003-1132-8477
Description
Summary:We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse electric and magnetic modes. The optimized crystals show complicated patterns which are far different from existing photonic crystal designs. We employ subspace approximation and mesh adaptivity to enhance computational efficiency. For some examples involving two band gaps, we demonstrate the tradeoff frontier between two different absolute band gaps.