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Model Order Reduction of Large-Scale Metasurfaces Using a Hierarchical Dipole Approximation
journal contribution
posted on 2016-12-01, 00:00 authored by Mohammad
Mahdi Salary, Ali Forouzmand, Hossein MosallaeiAdvances in the field of metasurfaces
require simulation of large-scale
metasurfaces that extend over many light wavelengths. Adopting standard
numerical methods leads to models featuring a large number of degrees
of freedom, which are prohibitive to solve within a time window compatible
with the design workflow. Therefore, this demands developing the techniques
to replace large-scale computational models with simpler ones, still
capable of capturing the essential features but imposing a fraction
of the initial computational costs. In this work, we present a simulation
approach in order to handle reduced order analyses of large-scale
metasurfaces of arbitrary elements. We use the discrete dipole approximation
in conjunction with the discrete complex image method and hierarchical
matrix construction as a common theoretical framework for dipole approximation
in the hierarchy of individual elements and the array scale. We extract
the contributions of multipoles in the scattering spectra of the nanoantennas
forming the metasurface and retrieve their dynamic polarizabilities.
The computational complexity of modeling the array problem is then
significantly reduced by replacing the fine meshing of each nanoantenna
with its dynamic polarizability. The solver is developed to model
several fully functional metasurfaces of different types including
a one-atom-thick metasurface made of graphene with chemical doping
interruptions, a multifocusing lens made of plasmonic V-shaped nanoantennas,
and a multicolor hologram consisting of dielectric nanobars. The performance
of the method is evaluated through comparison with full-wave simulations,
and a significant computational gain is observed while the accuracy
of the results is retained owing to the preserved coupling information
between dipolar modes.
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multifocusing lensLarge-Scale Metasurfacesarray scaleone-atom-thick metasurfaceHierarchical Dipole Approximation Advancesfull-wave simulationsModel Order Reductionlight wavelengthstime windowdesign workflowdielectric nanobarsorder analysesmatrix constructiondipolar modesimage methodarray problemsimulation approachchemical doping interruptionsnanoantennamodel
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