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Different omnidirectional refractive devices for flexural waves in thinplates are proposed and numerically analyzed. Their realization is explained bymeans phononic crystal plates, where a previously developed homogenizationtheory is employed for the design of graded index refractive devices. Thesedevices consist of a circular cluster of inclusions with properly designedgradient in their radius. With this approach, the Luneburg and Maxwell lensesand a family of beam splitters for flexural waves are proposed and analyzed.Results show that these devices work properly in a broadband frequency region,being therefore an efficient approach for the design of refractive devicesspecially interesting for nano-scale applications.

Omnidirectional refractive devices for flexural waves based on graded phononic crystals