Abstract
Optical propagation with transverse magnetic and transverse electric polarizations is investigated in metamaterials composed of thin-film metallo-dielectric (MD) structures. The analysis is performed using a novel simplified anisotropic transfer matrix method, the Berreman matrix method with effective medium theory, and finite element methods. In the process, appropriate spatial transfer functions are defined for propagation in the effective bulk medium and used to show negative refraction and linear focusing for certain polarizations in hyperbolic metamaterials. Simulations are compared with experimental results for MD transmission filters. Possible extensions to tunable systems are discussed, using electro-optic substrates and thin-film phase change materials, along with other applications.
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