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Dispersion forces such as van der Waals forces between two microscopicparticles, the Casimir--Polder forces between a particle and a macroscopicobject or the Casimir force between two dielectric objects are well studied invacuum. However, in realistic situations the interacting objects are oftenembedded in an environmental medium. Such a solvent influences the induceddipole interaction. With the framework of macroscopic quantum electrodynamics,these interactions are mediated via an exchange of virtual photons. Via thismethod the impact of a homogeneous solvent medium can be expressed aslocal-field corrections leading to excess polarisabilities which havepreviously been derived for hard boundary conditions. In order to develop amore realistic description, we investigate on a one-dimensional analog systemillustrating the influence of a continuous dielectric profile.

Dispersion forces in inhomogeneous planarly layered media: A one-dimensional model for effective polarisabilities