Theory-experiment comparison for the Casimir force between metallic test bodies: A spatially nonlocal dielectric response

It is known that the Lifshitz theory of Casimir force comes into conflict with measurement data if response conduction electrons in metals to electromagnetic fluctuations described by well-tested dissipative Drude model. The same very good agreement measurements from graphene, whose spatially nonlocal derived first principles quantum electrodynamics. Here we propose phenomenological dielectric functions which lead nearly as standard model propagating waves, but a different case evanescent waves. Unlike some previous suggestions this type, considered here depend on all components wave vector, most natural formalism specular reflection used. shown these satisfy Kramers-Kronig relations. We derive respective expressions for surface impedances and coefficients. obtained results are used compute effective pressure between two parallel plates, sphere plate, gradient configurations precise experiments performed both nonmagnetic (Au) magnetic (Ni) test bodies. cases (Au-Au, Au-Ni, Ni-Ni bodies) predictions found using was reached previously dissipationless plasma Possible developments applications discussed.