Tailoring specific heat and density in the design of thermal transformation media

Yu Lin Tsai, Tungyang Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The transformation optics or acoustics in the design of metamaterials has been successfully applied to a number of physical phenomena. This novel method provides simple routes to attain certain significant effects such as invisibility cloaks, concentrators, and others. Given a mapping between two geometric configurations, the material properties of the transformed domain can be accordingly determined. They are in general anisotropic, position varying and sometimes of extreme values at certain points. This in fact restricts the practicality of real fabrication. Here we are concerned with the transient behavior of heat conduction. An inverse algorithm is presented here in the design of transformed medium based on the invariance of governing equation between physical and virtual configurations. We will demonstrate that the thermal capacity (thermal conductivity and heat capacity) can be tailored in specific forms, spatially uniform, linear or quadratic functions of positions, so that the design can be materialized more easily. Numerical illustrations are also presented for 2D and 3D thermal cloak for transient thermal conduction.

Original languageEnglish
Title of host publicationProgress in Electromagnetics Research Symposium
PublisherElectromagnetics Academy
Number of pages4
ISBN (Electronic)9781934142288
Publication statusPublished - 2014
EventProgress in Electromagnetics Research Symposium, PIERS 2014 - Guangzhou, China
Duration: 2014 Aug 252014 Aug 28

Publication series

NameProgress in Electromagnetics Research Symposium
ISSN (Print)1559-9450
ISSN (Electronic)1931-7360


OtherProgress in Electromagnetics Research Symposium, PIERS 2014

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials


Dive into the research topics of 'Tailoring specific heat and density in the design of thermal transformation media'. Together they form a unique fingerprint.

Cite this