Multiscale design of optical metafilms with bianisotropic homogenization (Conference Presentation)

Alexander V. Kildishev; Zhaxylyk Kudyshev; Ludmila J. Prokopeva; Derek A. Olson; William D. Henshaw; Sawyer D. Campbell; Douglas H. Werner

doi:10.1117/12.2320065

17 September 2018 Multiscale design of optical metafilms with bianisotropic homogenization (Conference Presentation)

Alexander V. Kildishev, Zhaxylyk Kudyshev, Ludmila J. Prokopeva, Derek A. Olson, William D. Henshaw, Sawyer D. Campbell, Douglas H. Werner

Author Affiliations +

Proceedings Volume 10719, Metamaterials, Metadevices, and Metasystems 2018; 1071918 (2018) https://doi.org/10.1117/12.2320065
Event: SPIE Nanoscience + Engineering, 2018, San Diego, California, United States

Abstract

The multiscale optimization of metafilm-based photonic systems may still remain computationally expensive, especially if the individual unit cell evaluations are not efficient. To circumvent this, we propose the use of effective bianisotropic tiles. In the simplest case, the homogenized metafilm can be obtained using a standard technique that approximates each cell by a tile with effective permittivity and permeability producing the same far-field response. This approach fails in the cases of symmetry breaking inside the cell - the cases common in metafilms with anisotropic unit cells fabricated on substrates. To overcome this problem, we are using bianisotropic homogenization (BAH), where a BA tensor accounts for spatial asymmetries. Here, we introduce new approaches to BAH of metafilms capable to interpolate their angular-dependent and frequency dispersive behavior. Our proposed approach is most general - by taking advantage of the fundamental theorems of linear algebra, we compare the retrieved eigenvalues with known theoretical cases. We verified our approaches with the conventional BAH techniques using normal incidence or tangential surface polarizations. The use of the optical dispersion, based on the generalized dispersive material model imposed by a set of Padé approximants allows for a flexible time-domain operation. Furthermore, accounting for the illumination intensity implies an innovative development of the BAH for non-linear metafilms. We demonstrate that, even with existing limitations, the proposed BAH technique offers extraordinary means for multiscale design of functional metadevices in frequency and time domains with useful expansions to the most general problems of non-linear optics, quantum computing, and imaging.

Conference Presentation

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Alexander V. Kildishev, Zhaxylyk Kudyshev, Ludmila J. Prokopeva, Derek A. Olson, William D. Henshaw, Sawyer D. Campbell, and Douglas H. Werner "Multiscale design of optical metafilms with bianisotropic homogenization (Conference Presentation)", Proc. SPIE 10719, Metamaterials, Metadevices, and Metasystems 2018, 1071918 (17 September 2018); https://doi.org/10.1117/12.2320065

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KEYWORDS

Homogenization

Optical design

Dispersion

Linear algebra

Nonlinear optics

Optimization (mathematics)

Photonics systems

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