title: 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 explicit designs of a dynamic compressor, a spacetime cloak for acoustic waves and a carpet cloak for a moving aircraft.
authors.affiliation: Nanophotonics Technology Center, Universitat Politècnica de València, 46022 Valencia, Spain.
authors.forename: C
authors.initials: C
authors.lastname: García-Meca
authors.forename: S
authors.initials: S
authors.lastname: Carloni
authors.forename: C
authors.initials: C
authors.lastname: Barceló
authors.forename: G
authors.initials: G
authors.lastname: Jannes
authors.forename: J
authors.initials: J
authors.lastname: Sánchez-Dehesa
authors.forename: A
authors.initials: A
authors.lastname: Martínez