Casimir force in presence of multi layer magnetodielectric slabs

Research highlights: → The Casimir force has been obtained in the presence of some dielectrics. → The approach is based on a Lagrangian. → It can be generalized to include the rough surfaces. → Finite temperature correction can be easily obtained. - Abstract: By using the path-integral formalism, electromagnetic field in the presence of some linear, isotropic magnetodielectric slabs is quantized and related correlation functions are found. In the framework of path-integral techniques, Casimir force between two infinitely large, parallel and ideal conductors, with a different number of magnetodielectric slabs in between, is obtained by calculating the Green's function corresponding to each geometry.