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

Wu, Xiaohu; Fu, Ceji; Zhang, Zhuomin M.

doi:10.1016/j.ijheatmasstransfer.2019.02.066

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

Journal Article · Mon Feb 25 23:00:00 EST 2019 · International Journal of Heat and Mass Transfer

DOI:https://doi.org/10.1016/j.ijheatmasstransfer.2019.02.066· OSTI ID:1594777

^[1]; Fu, Ceji ^[2]; Zhang, Zhuomin M. ^[3]

Peking Univ., Beijing (China); Georgia Inst. of Technology, Atlanta, GA (United States); Georgia Institute of Technology
Peking Univ., Beijing (China)
Georgia Inst. of Technology, Atlanta, GA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Georgia Inst. of Technology, Atlanta, GA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Natural Science Foundation of China (NNSFC)

Grant/Contract Number:: SC0018369

OSTI ID:: 1594777

Alternate ID(s):: OSTI ID: 1635994

Journal Information:: International Journal of Heat and Mass Transfer, Journal Name: International Journal of Heat and Mass Transfer Journal Issue: C Vol. 135; ISSN 0017-9310

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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