Repulsive Casimir effect between anisotropic dielectric and permeable plates

The quantized surface mode technique was used to calculate the zero-point energy between two anisotropic parallel plates with nontrivial magnetic properties, one of which is dielectric and the other of which is permeable. The analytical approximate expressions of Casimir force and torque were obtained in the retarded limit. The repulsive Casimir effect can be acquired for some materials with suitable permittivities and permeabilities, which might be measured in a future experiment.