Thermoelectric flow cloaking via metamaterials
A thermoelectric cloak including an inner region and an external medium. The inner region has a cloaking effect and is simultaneously invisible from both heat and electric charge fluxes; and heat, electric currents, and gradients in the external medium are unaltered by the cloaking effect of the inner region.
1. A thermoelectric cloak comprising:
an inner region of the thermoelectric cloak, wherein the inner region has an annular shape having an inner radius and an outer radius, wherein the inner region comprises a metamaterial composite having concentric bilayers, wherein an individual concentric bilayer comprises a first layer and a second layer surrounding the first layer, wherein the first and second layers are different homogenous layers; and
an external medium of the thermoelectric cloak, wherein the external medium is located outside the outer radius of the inner radius;
wherein the inner region has a thermoelectric cloaking effect that isolates an interior cavity surrounded by the inner radius from heat and electric charge fluxes coupled via thermoelectricity in the external medium,
wherein heat, electric currents, and gradients in the external medium of the thermoelectric cloak are unaltered by the thermoelectric cloaking effect of the inner region of the thermoelectric cloak.
2. The thermoelectric cloak of claim 1 , wherein the cloak has properties of a thermal cloak in the presence of only an external temperature difference across the external medium, wherein the cloak has properties of an electric cloak in the presence of only an external electric difference across the external medium, and wherein the cloak has properties of a bifunctional cloak when the external medium has a negligibly small Seebeck coefficient.
3. The thermoelectric cloak of claim 1 , wherein the cloaking effect is unaffected by boundary conditions.
4. The thermoelectric cloak of claim 1 wherein the thickness of the bilayers is substantially small compared to the inner radius of the inner region.
5. The thermoelectric cloak of claim 1 , wherein the metamaterial composite comprises Bi 2 Te 3 , CoSi, Sb 2 Te 3 , Zn 0.98 Al 0.02 O, Na x CoO 2 , or a combination thereof.
6. The thermoelectric cloak of claim 1 , wherein the number of concentric bilayers of the inner region is less than or equal to 10.
7. The thermoelectric cloak of claim 1 , wherein the number of concentric bilayers of the inner region is greater than or equal to 10.
8. An article comprising the thermoelectric cloak of claim 1 .
9. The article of claim 8 , wherein the article is a solar cell or a thermoelectric device.
10. The thermoelectric cloak of claim 1 , wherein the individual concentric bilayer comprises two layers of equal thickness.
11. The thermoelectric cloak of claim 1 , wherein Seebeck coefficients of the first and second layers are the same.
12. The thermoelectric cloak of claim 1 , wherein Seebeck coefficients of the first and second layers are different.
13. A method comprising:
fabricating a thermoelectric cloak having an inner region and an external medium of the thermoelectric cloak, wherein the inner region has an annular shape having an inner radius and an outer radius, wherein the inner region comprises a metamaterial composite having concentric bilayers, wherein an individual concentric bilayer comprises a first layer and a second layer surrounding the first layer, wherein the first and second layers are different homogenous layers, wherein the external medium is located outside the outer radius of the inner radius; and
isolating an object from a thermoelectric flow in the external medium by positioning the object within an interior cavity surrounded by the inner radius of the inner region, wherein the inner region has a thermoelectric cloaking effect that isolates the interior cavity surrounded by the inner radius from heat and electric charge fluxes coupled via thermoelectricity in the external medium, wherein heat, electric currents, and gradients in the external medium of the thermoelectric cloak are unaltered by the thermoelectric cloaking effect of the inner region of the thermoelectric cloak.
14. The method of claim 13 , wherein Seebeck coefficients of the first and second layers are the same.
15. The method of claim 13 , wherein Seebeck coefficients of the first and second layers are different.
16. The method of claim 13 , wherein the individual concentric bilayer comprises two layers of equal thickness.