Metamaterials and Cesàro convergence

Yuganand Nellambakam; K. V. S. Shiv Chaitanya

doi:10.1063/1.5144629

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arXiv · 2001.10935

Metamaterials and Cesàro convergence

Yuganand Nellambakam·K. V. S. Shiv Chaitanya

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Abstract

In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Cesàro convergence. Then, we also show that the analytical continuation of the linear permittivity \& permeability to a complex plane in terms of Riemann zeta function. The metamaterials are fabricated materials with a negative refractive index. These materials, in turn, depend on permittivity \& permeability of the linear dielectrics and magnetic materials. Therefore, the Cesàro convergence property of the linear dielectrics and magnetic materials may be used to fabricate the metamaterials.

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Yuganand Nellambakam, K. V. S. Shiv Chaitanya. 2020-01-06. Metamaterials and Cesàro convergence. https://doi.org/10.1063/1.5144629

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