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Electromagnetic normal modes and Casimir effects in layered structures

Bo E. Sernelius


Phys. Rev. B 90, 155457 – Published 30 October 2014

DOI: http://dx.doi.org/10.1103/PhysRevB.90.155457

We derive a general procedure for finding the electromagnetic normal modes in layered structures. We apply this procedure to planar, spherical, and cylindrical structures. These normal modes are important in a variety of applications. They are the only input needed in calculations of Casimir interactions. We present an explicit expression for the condition for modes and Casimir energy for a large number of specific geometries. The layers are allowed to be two-dimensional so graphene and graphenelike sheets as well as two-dimensional electron gases can be handled within the formalism. Also, forces on atoms in layered structures are obtained. One side result is the van der Waals and Casimir-Polder interaction between two atoms.

This is a huge paper of 57 pages and more than 400 equations – the result of a project that has been going over a period of several years.

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Last updated: 11/10/14