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Lateral shifts of waves transmitted through a medium with periodically varying permittivity and permeability

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Abstract

Based on the invariant imbedding method and stationary phase approximation, we perform a theoretical investigation on the lateral shifts through an inhomogeneous medium, whose permittivity and permeability are sine functions of the thickness. We find the lateral shift is large near the angles of transmissivity resonances. Furthermore, using a numerical solution method, we discuss the dependence of lateral shift on the spatial period of permittivity, the angle of incidence, the slab's thickness and the signs of the permittivity and permeability, respectively. The results show that the angles of transmissivity resonance and the lateral shifts can be easily controlled by adjusting the parameters of the structure.

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