Transformation devices: carpets in space and space-time

Abstract

Here we extend the theory of space-time or event cloaking into that based on the carpet or ground-plane reflective surface. Further, by recasting and generalizing a scalar acoustic wave model into a new mathematically covariant form, we also show how transformation theories for optics and acoustics can be combined into a single prescription. The single prescription, however, still respects the fundamental differences between electromagnetic and acoustic waves, which then provide us with an existence test for any desired transformation device -- are the required material properties (the required constitutive parameters) physically permitted by the wave theory being designed for? Whilst electromagnetism is a flexible theory permitting almost any transformation device (T-device) design, we show that the acoustic model used here is more restricted.

v4 (closer to published version), v3, v2 (misc updates/fixes and better notation)

References in corpus (5)

• Hiding Under the Carpet: a New Strategy for Cloaking
• Illusion optics: The optical transformation of an object into another object
• A complementary media invisibility cloak that can cloak objects at a distance outside the cloaking shell
• Acoustic cloaking theory
• Cloaks, editors, and bubbles: applications of spacetime transformation theory

Cited by in corpus (6)

• Temporal boundaries in electromagnetic materials
• On Spacetime Transformation Optics: Temporal and Spatial Dispersion
• Analogue transformation acoustics and the compression of spacetime
• Electromagnetism, Axions, and Topology: a first-order operator approach to constitutive responses provides greater freedom
• Generalized Transformation Design: metrics, speeds, and diffusion
• Cloak Imperfect: Impedance