Design of thin–film photonic metamaterial Luneburg lens using analytical approach
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Johnson_Design of thin-film.pdf
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Author(s)
Gao, Hanhong
Zhang, Baile
Johnson, Steven G.
Barbastathis, George
Date Issued
January 2012
Journal
Optics Express
Publisher
Optical Society of America
Citation
Gao, Hanhong, Baile Zhang, Steven G. Johnson, and George Barbastathis. “Design of thin–film photonic metamaterial Lüneburg lens using analytical approach.” Optics Express 20, no. 2 (January 10, 2012): 1617. © 2012 OSA
Version
Final published version
Abstract
We design an all–dielectric Luneburg lens as an adiabatic space–variant lattice explicitly accounting for finite film thickness. We describe an all–analytical approach to compensate for the finite height of subwavelength dielectric structures in the pass–band regime. This method calculates the effective refractive index of the infinite–height lattice from effective medium theory, then embeds a medium of the same effective index into a slab waveguide of finite height and uses the waveguide dispersion diagram to calculate a new effective index. The results are compared with the conventional numerical treatment – a direct band diagram calculation, using a modified three–dimensional lattice with the superstrate and substrate included in the cell geometry. We show that the analytical results are in good agreement with the numerical ones, and the performance of the thin–film Luneburg lens is quite different than the estimates obtained assuming infinite height.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Mechanical Engineering
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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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DOI of Published Version
https://doi.org/10.1364/oe.20.001617
