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On the Topology of Nonlocal Field Theories of Material Continua
  • Said Mikki
Said Mikki
Zhejiang University/University of Illinois at Urbana-Champaign

Corresponding Author:[email protected]

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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.