Active Thermal Cloaking and Mimicking

Abstract

We present an active cloaking method for the parabolic heat (and mass or light diffusion) equation that can hide both objects and sources. By active we mean that it relies on designing monopole and dipole heat source distributions on the boundary of the region to be cloaked. The same technique can be used to make a source or an object look like a different one to an observer outside the cloaked region, from the perspective of thermal measurements. Our results assume a homogeneous isotropic bulk medium and require knowledge of the source to cloak or mimic, but are in most cases independent of the object to cloak.

arXiv comment29 pages,12 figures

References in corpus (16)

• Illusion optics: The optical transformation of an object into another object
• Experiments on transformation thermodynamics: Molding the flow of heat
• Cloaking of Matter Waves
• Active Exterior Cloaking
• Broadband Exterior Cloaking
• Isotropic transformation optics: approximate acoustic and quantum cloaking
• Exterior optical cloaking and illusions by using active sources: a boundary element perspective
• Scattering Cancellation based Cloaking for the Maxwell-Cattaneo Heat Waves
• Transformation elastodynamics and active exterior acoustic cloaking
• Source amplitudes for active exterior cloaking
• Active elastodynamic cloaking
• Diffusion in Curved Spacetimes
• Chemical Cloaking
• Non-singular cloaks allow mimesis
• Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime
• Active Thermal Cloaking and Mimicking

Cited by in corpus (3)

• Fast active thermal cloaking through PDE-constrained optimization and reduced-order modeling
• Active Thermal Cloaking and Mimicking
• Acoustic passive cloaking using thin outer resonators