Radiative Properties of Ceramic \(\hbox {Al}_{2}\hbox {O}_{3}\), AlN and \(\hbox {Si}_{3}\hbox {N}_{4}\)—II: Modeling

  • Peiyan Yang
  • Qiang Cheng
  • Zhuomin ZhangEmail author


In Part I of this study (Cheng et al. in Int J Thermophys 37: 62, 2016), the reflectance and transmittance of dense ceramic plates were measured at wavelengths from 0.4 \(\upmu \hbox {m}\) to about 20 \(\upmu \hbox {m}\). The samples of \(\hbox {Al}_{2}\hbox {O}_{3}\) and AlN are semitransparent in the wavelength region from 0.4 \(\upmu \hbox {m}\) to about 7 \(\upmu \hbox {m}\), where volume scattering dominates the absorption and scattering behaviors. On the other hand, the \(\hbox {Si}_{3}\hbox {N}_{4}\) plate is opaque in the whole wavelength region. In the mid-infrared region, all samples show phonon vibration bands and surface reflection appears to be strong. The present study focuses on modeling the radiative properties and uses an inverse method to obtain the scattering and absorption coefficients of \(\hbox {Al}_{2}\hbox {O}_{3}\) and AlN in the semitransparent region from the measured directional-hemispherical reflectance and transmittance. The scattering coefficient is also predicted using Mie theory for comparison. The Lorentz oscillator model is applied to fit the reflectance spectra of AlN and \(\hbox {Si}_{3}\hbox {N}_{4}\) from 1.6 \(\upmu \hbox {m}\) to 20 \(\upmu \hbox {m}\) in order to obtain their optical constants. It is found that the phonon modes for \(\hbox {Si}_{3}\hbox {N}_{4}\) are much stronger in the polycrystalline sample studied here than in amorphous films reported previously.


Ceramics Optical constants Radiative properties Volume scattering 



This study was mainly supported by the US National Science Foundation (CBET-1603761). Q. Cheng would also like to thank the National Natural Science Foundation of China (No. 51676077) and the Foundation of State Key Laboratory of Coal Combustion (FSKLCCB1601) for the sponsorship.


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.George W. Woodruff School of Mechanical EngineeringGeorgia Institute of TechnologyAtlantaUSA
  2. 2.State Key Laboratory of Coal Combustion, School of Energy and Power EngineeringHuazhong University of Science and TechnologyWuhanPeople’s Republic of China

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