The Directional Radiation Metamaterial Lens Based on Quasi-conformal Transformation Method

Abstract

In this paper, a practical directional radiation metamaterial lens using quasi-conformal transformation (QCTC) method is proposed. The design of arched metamaterial lens can be widely put on any conformal antenna shaped in arc or cylinder, and behaves similarly to a linear array antenna. In the proceeding of designing, QCTC method is employed to minimize values of permittivity and permeability in lens’s transform medium. Moreover, this method overcomes the shortcomings of singular values and computational complexity compared to traditional transformation optics. The lens made of quasi-isotropic material can perfectly balance realization and performance. Besides, the constitutive parameters are computed using Laplace equations with Robin boundary condition instead of traditional Dirichlet and Neumann conditions. Through compared simulation results in different situations using COMSOL Multiphysics, verifying the correctness of lens designed.