Analogue Transformations in Physics and their Application to Acoustics

Abstract

Transformation optics has shaped up a revolutionary electromagnetic design paradigm, enabling scientists to build astonishing devices such as invisibility cloaks. Unfortunately, the application of transformation techniques to other branches of physics is often constrained by the structure of the field equations. We develop here a complete transformation method using the idea of analogue spacetimes. The method is general and could be considered as a new paradigm for controlling waves in different branches of physics, from acoustics in quantum fluids to graphene electronics. As an application, we derive an "analogue transformation acoustics" formalism that naturally allows the use of transformations mixing space and time or involving moving fluids, both of which were impossible with the standard approach. To demonstrate the power of our method, we give an explicit design of a spacetime compressor for acoustic waves and a carpet cloak for a moving aircraft.

29 pages, 11 figures, published on Scientific Reports

References in corpus (8)

• The electronic properties of graphene
• Hiding Under the Carpet: a New Strategy for Cloaking
• Realization of a sonic black hole analogue in a Bose-Einstein condensate
• Cloaking of Matter Waves
• Demonstration of temporal cloaking
• Acoustic metafluids
• Electronic properties of curved graphene sheets
• A real Lorentz-FitzGerald contraction

Cited by in corpus (7)

• Spacetime transformation acoustics
• Analogue transformation acoustics and the compression of spacetime
• Metamaterials and Fluid Flows
• Transformational acoustic metamaterials based on pressure gradients
• Three-dimensional ultrasonic colloidal crystals
• Computational Complexity in Analogue Gravity
• Achieving acoustic cloak by using compressible background flow