On the Topology of Nonlocal Field Theories of Material Continua
- Said Mikki
Abstract
A fairly general and unified approach to nonlocality in material
continua is introduced here. This work aims at proposing new
mathematical and conceptual foundations for the emerging topic of
nonlocal metamaterials suitable for physicists, engineers,
mathematicians, and materials scientists. The text develops an original
rigorous theory, a detailed example involving nonlocal semiconductor
metamaterials, and extensive literature review and discussion of
possible applications of nonlocal metamaterials.