Abstract
The concept of birefringence, commonly treated as a property resulting from more than one polarization, is associated with different refractive indices, depending on polarization. Here, we propose a two-dimensional elastic metamaterial engineered to demonstrate birefringence of single polarization for flexural waves. By adopting a network of beams with ``overpass'' structures to upset the topology of unit cells from a conventional elastic plate, birefringence of single polarization at low frequencies can be realized and confirmed through measured band structures and double refraction of the flexural waves; this is further supported by full-wave simulations and models. Our approach can engineer birefringence at low frequencies in which the wavelength is at least a few times larger than the lattice constant, further allowing efficient control of beam splitting, filtering, and multiplexing with applications for elastic wave devices.
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