Synthesizing metamaterials with angularly independent effective medium properties based on an anisotropic parameter retrieval technique coupled with a genetic algorithm

Hao Jiang Zhi, Jeremy A. Bossard, Xiande Wang, Douglas H. Werner

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

In this paper, we present a method to retrieve the effective electromagnetic parameters of a slab of anisotropic metamaterial from reflection and transmission coefficients (or scattering parameters). In this retrieval method, calculated or measured scattering parameters are employed for plane waves incident obliquely on a metamaterial slab at different angles. Useful analytical expressions are derived for extracting the homogeneous anisotropic medium parameters of a metamaterial. To validate the method, the effective permittivity and permeability tensor parameters for a composite split-ring resonator-wire array are retrieved and shown to be consistent with observations previously reported in the literature. This retrieval method is further incorporated into a genetic algorithm (GA) to synthesize an infrared zero-index-metamaterial with a wide field-of-view, demonstrating the utility of the new design approach. The anisotropic parameter retrieval algorithm, when combined with a robust optimizer such as GA, can provide a powerful design tool for exploiting the anisotropic properties in metamaterials to achieve specific angle dependant or independent responses.

Original languageEnglish (US)
Article number013515
JournalJournal of Applied Physics
Volume109
Issue number1
DOIs
StatePublished - Jan 1 2011

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genetic algorithms
retrieval
slabs
anisotropic media
scattering
field of view
permeability
plane waves
resonators
wire
tensors
permittivity
electromagnetism
reflectance
composite materials
rings
coefficients

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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Synthesizing metamaterials with angularly independent effective medium properties based on an anisotropic parameter retrieval technique coupled with a genetic algorithm. / Zhi, Hao Jiang; Bossard, Jeremy A.; Wang, Xiande; Werner, Douglas H.

In: Journal of Applied Physics, Vol. 109, No. 1, 013515, 01.01.2011.

Research output: Contribution to journalArticle

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