TechRxiv
Fiber_Bundle_Space_Theory_of_Nonlocal_MTMs__TechRxiv_.pdf (439.61 kB)

A Fiber Bundle Space Theory of Nonlocal Metamaterials

Download (439.61 kB)
preprint
posted on 18.05.2020 by Said Mikki
It is proposed that spacetime is not the most proper space to describe metamaterials with nonlocality. Instead, we show that the most general and suitable configuration space for doing electromagnetic theory in nonlocal domains is a proper function-space infinite-dimensional (Sobolev) vector bundle, a special case of the general topological structure known as fiber bundles. It appears that this generalized space explains why nonlocal metamaterials cannot have unique EM boundary conditions at interfaces involving spatially dispersive media.

History

Email Address of Submitting Author

said.m.mikki@gmail.com

Submitting Author's Institution

U of New Haven

Submitting Author's Country

United States of America

Licence

Exports