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Spectral Radiative Properties of Two-Dimensional Rough Surfaces

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Abstract

Spectral radiative properties of two-dimensional rough surfaces are important for both academic research and practical applications. Besides material properties, surface structures have impact on the spectral radiative properties of rough surfaces. Based on the finite difference time domain algorithm, this paper studies the spectral energy propagation process on a two-dimensional rough surface and analyzes the effect of different factors such as the surface structure, angle, and polarization state of the incident wave on the spectral radiative properties of the two-dimensional rough surface. To quantitatively investigate the spatial distribution of energy reflected from the rough surface, the concept of the bidirectional reflectance distribution function is introduced. Correlation analysis between the reflectance and different impact factors is conducted to evaluate the influence degree. Comparison between the theoretical and experimental data is given to elucidate the accuracy of the computational code. This study is beneficial to optimizing the surface structures of optoelectronic devices such as solar cells.

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Abbreviations

\({\boldsymbol{E}}\) :

Electric field (V · m−1)

e n :

Unit normal vector

f r :

Bidirectional reflectance distribution function (sr−1)

\({\boldsymbol{H}}\) :

Magnetic field (A · m−1)

\({\boldsymbol{L}}\) :

Radiance (W · m−2)

\({\boldsymbol{J}}\) :

Electric surface current (A · m−2)

\({\boldsymbol{J_{\rm m}}}\) :

Magnetic surface current (V · m−2)

R :

Reflectance

S :

Area of the integration plane (m2)

s :

Energy flux (W · m−2)

\({\varepsilon}\) :

Permittivity (F · m−1)

\({\eta_{0}}\) :

Intrinsic impedance of free space

\({\theta}\) :

Zenith angle (\({^{\circ}}\))

\({\lambda}\) :

Wavelength (m)

\({\mu}\) :

Permeability (H · m−1)

\({\sigma}\) :

Electrical conductivity; root-mean-square roughness (m)

\({\sigma_{0}}\) :

Cross section per unit-illuminated area

\({\tau}\) :

Correlation length (m)

\({\phi}\) :

Azimuthal angle (\({^{\circ}}\))

\({\omega}\) :

Solid angle (sr)

i:

Incidence

r:

Reflection

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Authors and Affiliations

  1. School of Energy and Power Engineering, Nanjing University of Science & Technology, Nanjing, 210094, China

    Yimin Xuan, Yuge Han & Yue Zhou

  2. School of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Yimin Xuan

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  1. Yimin Xuan
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  2. Yuge Han
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Correspondence to Yimin Xuan.

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Xuan, Y., Han, Y. & Zhou, Y. Spectral Radiative Properties of Two-Dimensional Rough Surfaces. Int J Thermophys 33, 2291–2310 (2012). https://doi.org/10.1007/s10765-012-1349-z

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