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dc.contributor.authorLee, K. Y. K.
dc.contributor.authorMen, Han
dc.contributor.authorFreund, Robert Michael
dc.contributor.authorPeraire, Jaime
dc.contributor.authorJohnson, Steven G.
dc.date.accessioned2014-09-26T15:55:10Z
dc.date.available2014-09-26T15:55:10Z
dc.date.issued2014-09
dc.date.submitted2014-08
dc.identifier.issn1094-4087
dc.identifier.urihttp://hdl.handle.net/1721.1/90398
dc.description.abstractWe perform full 3D topology optimization (in which “every voxel” of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional band gaps for various symmetry groups, including fcc (including diamond), bcc, and simple-cubic lattices. Even without imposing the constraints of any fabrication process, the resulting optimal gaps are only slightly larger than previous hand designs, suggesting that current photonic crystals are nearly optimal in this respect. However, optimization can discover new structures, e.g. a new fcc structure with the same symmetry but slightly larger gap than the well known inverse opal, which may offer new degrees of freedom to future fabrication technologies. Furthermore, our band-gap optimization is an illustration of a computational approach to 3D dispersion engineering which is applicable to many other problems in optics, based on a novel semidefinite-program formulation for nonconvex eigenvalue optimization combined with other techniques such as a simple approach to impose symmetry constraints. We also demonstrate a technique for robust topology optimization, in which some uncertainty is included in each voxel and we optimize the worst-case gap, and we show that the resulting band gaps have increased robustness to systematic fabrication errors.en_US
dc.description.sponsorshipUnited States. Air Force Office of Scientific Research (Grant FA9550-11-1-0141)en_US
dc.description.sponsorshipMIT-Chile Program (Seed Fund)en_US
dc.description.sponsorshipUnited States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Complex and Robust On-chip Nanophotonics Grant FA9550-09-1-0704)en_US
dc.description.sponsorshipMassachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-07-D0004)en_US
dc.language.isoen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttp://dx.doi.org/10.1364/OE.22.022632en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMenen_US
dc.titleRobust topology optimization of three-dimensional photonic-crystal band-gap structuresen_US
dc.typeArticleen_US
dc.identifier.citationMen, H., K. Y. K. Lee, R. M. Freund, J. Peraire, and S. G. Johnson. “Robust Topology Optimization of Three-Dimensional Photonic-Crystal Band-Gap Structures.” Optics Express 22, no. 19 (2014): 22632.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Aeronautics and Astronauticsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.departmentSloan School of Managementen_US
dc.contributor.approverMen, Hanen_US
dc.contributor.mitauthorMen, Hanen_US
dc.contributor.mitauthorLee, K. Y. K.en_US
dc.contributor.mitauthorPeraire, Jaimeen_US
dc.contributor.mitauthorFreund, Robert Michaelen_US
dc.contributor.mitauthorJohnson, Steven G.en_US
dc.relation.journalOptics Expressen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsMen, H.; Lee, K. Y. K.; Freund, R. M.; Peraire, J.; Johnson, S. G.en_US
dc.identifier.orcidhttps://orcid.org/0000-0001-7327-4967
dc.identifier.orcidhttps://orcid.org/0000-0002-8556-685X
dc.identifier.orcidhttps://orcid.org/0000-0002-1733-5363
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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