Abstract
Negative refraction is not only the consequence of the negative mass density and negative bulk modulus of the acoustical metamaterial but also can produce phononic crystal’s band gap. Acoustical cloaking is an application of the form invariance of the acoustic field equation. It is the first application of sound propagation in curvilinear space-time. It enables the bending and the manipulation of the direction of the sound wave to our requirement. Both negative refraction and acoustical cloaking can be derived from coordinates transformation of the acoustic field equation. In fact, negative refraction is a special case of acoustical cloaking when the value of the determinant of the coordinates transformation equals -1. Negative refraction enables the production of super-resolution lens and acoustical cloaking can be used for shielding objects.
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Gan, W.S. (2018). Negative Refraction and Acoustical Cloaking. In: New Acoustics Based on Metamaterials. Engineering Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-6376-3_2
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