In this paper, a non-reflecting non-magnetic homogeneous polarization splitter and polarization deflector design method is proposed and investigated. Transformation electromagnetics is used as a powerful tool to achieve a desired functionality. By applying a proper linear transformation and using the fact that for different polarizations, distinct constitutive parameters appear in Maxwell equations, a non-magnetic homogeneous media is obtained that is reflectionless. Anisotropy factor of the designed media is evaluated and a brief discussion of the available tradeoff is given. To test the method, two typical polarization splitter with positive and negative lateral shift are designed. Also, by modifying the proposed polarization splitter and implementing a metallic coating, a polarization deflector is designed. Functionality of design method is validated using commercial finite element software COMSOL Multiphysics. It is seen that the proposed polarization splitters can successfully create desired separation between polarizations according to the design procedure. Also, the polarization deflector can deflect one polarization with respect to the other one by arbitrary angle.

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