Transformation optics compressed rotman lens implemented with complementary metamaterials

The solutions to the Rotman lens design equations constrain the minimum size of the device. Here we use Transformation Optics to compress a transmission line based Rotman lens by 27 percent along the optical axis while maintaining the beam steering range, gain and side lobe amplitudes over the full frequency range of the original lens. The transformation applied requires an anisotropic magnetic response, which is achieved in the transmission line context using complementary electric dipole structures patterned into the top conductor of the lens. The non-resonant complementary metamaterial elements provide an anisotropic, eective magnetic permeability with values that can be varied across a spatial region by varying the geometry of each element.

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