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Design of photonic crystals with multiple and combined band gaps

Author(s)
Men, Han; Nguyen, Ngoc Cuong; Freund, Robert Michael; Lim, K. M.; Parrilo, Pablo A.; Peraire, Jaime; ... Show more Show less
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

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Abstract
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.
Date issued
2011-04
URI
http://hdl.handle.net/1721.1/64936
Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Sloan School of Management
Journal
Physical review E
Publisher
American Physical Society
Citation
Men, H. et al. “Design of Photonic Crystals with Multiple and Combined Band Gaps.” Physical Review E 83.4 (2011) : n. pag. ©2011 American Physical Society
Version: Final published version
ISSN
1539-3755
1550-2376

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