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Title: Effect of orientation on the directional and hemispherical emissivity of hyperbolic metamaterials

Abstract

Here, we investigate the spectral directional and hemispherical emissivity of hyperbolic metamaterials with arbitrary orientation of the optic axis. The 4 x 4 matrix method is combined with coordinate rotational transforms to circumvent projection operations. The two hyperbolic bands of hexagonal boron nitride (hBN) are examined in detail to elucidate the influence of the orientation of the optic axis on the emissivities for both transverse magnetic (TM) and transverse electric (TE) waves. The results show that the orientation of the optic axis can greatly affect the hemispherical emissivity in the two hyperbolic bands of hBN. The directional emissivity varies periodically with the azimuthal angle when TM and TE waves are coupled, resulting in conversion of polarization in the medium. For both TM and TE waves, the matching of impedance and admittance at the surface of the material is better for smaller tilting angle in the type I hyperbolic band, but the opposite is true in type II hyperbolic band where the matching becomes better for larger tilting angles. As the tilting angle increases, the hemispherical emissivity decreases in the type I hyperbolic band but increases in the type II hyperbolic band. Our conclusions can be extended to other hyperbolic materials.more » Therefore, this work may provide valuable guidance on characterization, measurement and tailoring of the directional and hemispherical emissivity for hBN and other hyperbolic materials with arbitrary orientation and application of such materials for manipulation of radiative heat transfer.« less

Authors:
ORCiD logo [1];  [2];  [3]
  1. Peking Univ., Beijing (China); Georgia Inst. of Technology, Atlanta, GA (United States)
  2. Peking Univ., Beijing (China)
  3. Georgia Inst. of Technology, Atlanta, GA (United States)
Publication Date:
Research Org.:
Georgia Institute of Technology, Atlanta, GA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1594777
Alternate Identifier(s):
OSTI ID: 1635994
Grant/Contract Number:  
SC0018369; 201706010271; 51576004
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
International Journal of Heat and Mass Transfer
Additional Journal Information:
Journal Volume: 135; Journal Issue: C; Journal ID: ISSN 0017-9310
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; hemispherical emissivity; metamaterials; thermal radiation; uniaxial crystal

Citation Formats

Wu, Xiaohu, Fu, Ceji, and Zhang, Zhuomin M. Effect of orientation on the directional and hemispherical emissivity of hyperbolic metamaterials. United States: N. p., 2019. Web. doi:10.1016/j.ijheatmasstransfer.2019.02.066.
Wu, Xiaohu, Fu, Ceji, & Zhang, Zhuomin M. Effect of orientation on the directional and hemispherical emissivity of hyperbolic metamaterials. United States. doi:10.1016/j.ijheatmasstransfer.2019.02.066.
Wu, Xiaohu, Fu, Ceji, and Zhang, Zhuomin M. Tue . "Effect of orientation on the directional and hemispherical emissivity of hyperbolic metamaterials". United States. doi:10.1016/j.ijheatmasstransfer.2019.02.066. https://www.osti.gov/servlets/purl/1594777.
@article{osti_1594777,
title = {Effect of orientation on the directional and hemispherical emissivity of hyperbolic metamaterials},
author = {Wu, Xiaohu and Fu, Ceji and Zhang, Zhuomin M.},
abstractNote = {Here, we investigate the spectral directional and hemispherical emissivity of hyperbolic metamaterials with arbitrary orientation of the optic axis. The 4 x 4 matrix method is combined with coordinate rotational transforms to circumvent projection operations. The two hyperbolic bands of hexagonal boron nitride (hBN) are examined in detail to elucidate the influence of the orientation of the optic axis on the emissivities for both transverse magnetic (TM) and transverse electric (TE) waves. The results show that the orientation of the optic axis can greatly affect the hemispherical emissivity in the two hyperbolic bands of hBN. The directional emissivity varies periodically with the azimuthal angle when TM and TE waves are coupled, resulting in conversion of polarization in the medium. For both TM and TE waves, the matching of impedance and admittance at the surface of the material is better for smaller tilting angle in the type I hyperbolic band, but the opposite is true in type II hyperbolic band where the matching becomes better for larger tilting angles. As the tilting angle increases, the hemispherical emissivity decreases in the type I hyperbolic band but increases in the type II hyperbolic band. Our conclusions can be extended to other hyperbolic materials. Therefore, this work may provide valuable guidance on characterization, measurement and tailoring of the directional and hemispherical emissivity for hBN and other hyperbolic materials with arbitrary orientation and application of such materials for manipulation of radiative heat transfer.},
doi = {10.1016/j.ijheatmasstransfer.2019.02.066},
journal = {International Journal of Heat and Mass Transfer},
issn = {0017-9310},
number = C,
volume = 135,
place = {United States},
year = {2019},
month = {2}
}

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Works referencing / citing this record:

Emergent asymmetries and enhancement in the absorption of natural hyperbolic crystals
journal, January 2019

  • Wu, Xiaohu; McEleney, Cameron A.; González-Jiménez, Mario
  • Optica, Vol. 6, Issue 12
  • DOI: 10.1364/optica.6.001478