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Maxence Cassier1, Trent DeGiovanni2, Sébastien Guenneau3

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Summary
This summary is machine-generated.

This study introduces an active cloaking method for heat diffusion equations, enabling the concealment of objects and sources. The technique uses boundary heat sources to render targets invisible or alter their thermal appearance.

Keywords:
active cloakinggreen identitiesheat equationpotential theory

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Area of Science:

  • Physics
  • Applied Mathematics
  • Thermal Science

Background:

  • Heat and mass diffusion are described by parabolic partial differential equations.
  • Active cloaking methods aim to render objects or phenomena undetectable.
  • Previous methods often focus on specific scenarios or require complex designs.

Purpose of the Study:

  • To develop an active cloaking method for the parabolic heat equation.
  • To demonstrate the ability to cloak both objects and heat sources.
  • To enable the manipulation of thermal signatures for observation or concealment.

Main Methods:

  • Designing monopole and dipole heat source distributions on the boundary of a cloaked region.
  • Applying the method to the parabolic heat (and mass or light diffusion) equation.
  • Assuming a homogeneous isotropic bulk medium for analysis.

Main Results:

  • Successfully demonstrated an active cloaking method for heat diffusion.
  • Showcased the ability to hide both objects and sources using boundary heat distributions.
  • The technique allows an object or source to appear as something else thermally.

Conclusions:

  • Active cloaking for heat diffusion is achievable through controlled boundary heat sources.
  • The method offers versatility in hiding objects or altering their thermal signatures.
  • Knowledge of the source is crucial, but the object's properties are often irrelevant for cloaking.