Formulation for scalable optimization of microcavities via the frequency-averaged local density of states
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oe-21-25-30812.pdf
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3.24 MB
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Adobe PDF
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Author(s)
Liang, Xiangdong
Johnson, Steven G.
Date Issued
December 2013
Journal
Optics Express
Publisher
Optical Society of America
Citation
Liang, Xiangdong, and Steven G. Johnson. “Formulation for scalable optimization of microcavities via the frequency-averaged local density of states.” Optics Express 21, no. 25 (December 6, 2013): 30812. © 2013 Optical Society of America.
Version
Final published version
Abstract
We present a technique for large-scale optimization of optical microcavities based on the frequency-averaged local density of states (LDOS), which circumvents computational difficulties posed by previous eigenproblem-based formulations and allows us to perform full topology optimization of three-dimensional (3d) leaky cavity modes. We present theoretical results for both 2d and fully 3d computations in which every pixel of the design pattern is a degree of freedom (“topology optimization”), e.g. for lithographic patterning of dielectric slabs in 3d. More importantly, we argue that such optimization techniques can be applied to design cavities for which (unlike silicon-slab single-mode cavities) hand designs are difficult or unavailable, and in particular we design minimal-volume multi-mode cavities (e.g. for nonlinear frequency-conversion applications).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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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DOI of Published Version
https://doi.org/10.1364/OE.21.030812
