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In this article, we report a lens design based on a concentric circularstructure with continuous changing of thickness defined in a thin platestructure for focusing a plane wave into three spots (triple focusing) and forsplitting elastic waves emanating from a point source into three collimatedbeams of different directions (three-beam splitting). Inspired by the principleof optical graded index triple focusing lens, the governing equations of thegradient refractive index profiles necessary for achieving such structural lenswere obtained. The refractive index profiles were realized by using a lensdesign with two concentric circular areas of different thickness variationprofiles defined in a thin plate. Analytical, numerical, and experimentalstudies were conducted to investigate the functionalities of the variablethickness structural lens. The results showed that the lens developed in thisstudy were able to perform triple focusing and three-beam splitting withbroadband property. Furthermore, the locations of focal points and directionsof collimated beams can be engineered by changing the lens thickness profilesaccording to the governing equations. In addition, the proposed lens isminiature and simple design, which overcome the limitations of previous triplefocusing and beam splitters.

Structural Lens Based on Variable Thickness Structures