Papadakis, Georgia and Yeh, Pochi and Atwater, Harry A. (2015) Retrieval of material parameters for uniaxial metamaterials. Physical Review B, 91 (15). Art. No. 155406. ISSN 1098-0121. doi:10.1103/PhysRevB.91.155406. https://resolver.caltech.edu/CaltechAUTHORS:20141208-075833123
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Abstract
We present a general method for retrieving the effective tensorial permittivity of uniaxially anisotropic metamaterials. By relaxing the usually imposed constraint of assuming nonmagnetic metal/dielectric metamaterials, we also retrieve the effective permeability tensor and show that multilayer hyperbolic metamaterials exhibit a strong and broadband diamagnetic response in the visible regime. The method provides the means for designing magnetically anisotropic metamaterials for studying magnetic topological transitions in the visible regime. We obtain orientation-independent effective material parameters, which are distinguishable from mere wave parameters. We analytically validate this method for Ag/SiO_2 planar metamaterials with a varying number of layers and filling fractions and compare to the results from effective medium theory and Bloch theory.
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| Additional Information: | © 2015 American Physical Society. Received 23 November 2014; revised manuscript received 5 March 2015; published 7 April 2015. We acknowledge fruitful discussions with Professor E. N. Economou and Dr. K. Thyagarajan. This work was supported by the Multidisciplinary University Research Initiative Grant (Air Force Office of Scientific Research MURI, Grant No. FA9550-12-1-0488). G. Papadakis acknowledges support by a National Science Foundation Graduate Research Fellowship. | |||||||||
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| Subject Keywords: | Effective medium theory, transfer matrix, uniaxial, epsilon near zero, hyperbolic metamaterials (HMM), isofrequency contour, density of optical states | |||||||||
| Issue or Number: | 15 | |||||||||
| Classification Code: | PACS: 42.25.−p, 72.70.+m, 78.67.Pt | |||||||||
| DOI: | 10.1103/PhysRevB.91.155406 | |||||||||
| Record Number: | CaltechAUTHORS:20141208-075833123 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141208-075833123 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 52448 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 09 Dec 2014 22:32 | |||||||||
| Last Modified: | 10 Nov 2021 19:41 |
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