Metamaterials and Cesàro convergence
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...
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| creator | Nellambakam, Yuganand K V S Shiv Chaitanya |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2001.10935 |
| format | Article |
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| subjects | Convergence Dielectric properties Magnetic materials Magnetic permeability Magnetic properties Magnetism Metamaterials Permeability Permittivity Refractivity |
| title | Metamaterials and Cesàro convergence |
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