Modal approach to Casimir forces in periodic structures

Casimir forces in a T-operator approach

We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators. The approach is valid for scalar fields as well as for electromagnetic fields. We provide several equivalent derivations of the formula presented by Kenneth and Klich Phys. Rev. Lett. 97, 160401 2006 . We study the convergence properties of the formula and h...

SOME POINTS ON CASIMIR FORCES

Casimir forces of massive ferrnionic Dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions. It is shown that in the range of ma>>l where m is mass of fields quanta and a is the separation distance of the plates, it is equal to massive bosonic fields Casimir force for each degree of freedom. We argue this equalit...

Nonperturbative approach to Casimir interactions in periodic geometries

Due to their collective nature Casimir forces can strongly depend on the geometrical shape of the interacting objects. We study the effect of strong periodic shape deformations of two ideal metal plates on their quantum interaction. A nonperturbative approach which is based on a path-integral quantization of the electromagnetic field is presented in detail. Using this approach, we compute the f...

Modal analysis of structures in periodic state

Casimir Forces in Chiral Metamaterials

We use the extended Lifshitz theory to study the behavior of the Casimir forces between chiral metamaterials and regular metamaterials. We have shown that the chirality, if strong enough, is of critical importance to reduce the Cassimir attractive force and can find new designs to obtain repulsive Casimir forces. We will review chiral metamaterials and find some analytical expression for the st...