Slow convergence to effective medium in finite discrete metamaterials

Publication Type:
Journal Article
Physical Review B, 2016, 93 (23)
Issue Date:
Full metadata record
© 2016 American Physical Society. It is known that metamaterial properties may differ significantly from the predictions of effective-medium theory. In many cases this is due to the finite size and discrete structure, which cannot be neglected in practical samples with a relatively small amount of elements. We analyze the response of finite discrete metamaterial objects of a spherical shape and demonstrate the role of boundary effects in these structures, pointing out an interplay between the size of the structure and the dissipation. We conclude that the discrepancy between the actual resonance frequency of a sphere and the effective-medium prediction is inversely proportional to the size of the sphere.
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