Metamaterials and Ces\`aro convergence
Classical Physics
2020-06-14 v1
Abstract
In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Ces\`{a}ro 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 Ces\`{a}ro convergence property of the linear dielectrics and magnetic materials may be used to fabricate the metamaterials.
Keywords
Cite
@article{arxiv.2001.10935,
title = {Metamaterials and Ces\`aro convergence},
author = {Yuganand Nellambakam and K. V. S. Shiv Chaitanya},
journal= {arXiv preprint arXiv:2001.10935},
year = {2020}
}
Comments
AIP Advances 2020