2015
DOI: 10.1007/s10765-015-1982-4
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Polylogarithmic Representation of Radiative and Thermodynamic Properties of Thermal Radiation in a Given Spectral Range: II. Real-Body Radiation

Abstract: The general analytical expressions for the thermal radiative and thermodynamic properties of a realbody are obtained in a finite range of frequencies at different temperatures. The frequency dependence of the spectral emissivity is represented as a power series. Stefan-Boltzmann's law, total energy density, number density of photons, Helmholtz free energy density, internal energy density, enthalpy density, entropy density, heat capacity at constant volume, pressure, and total emissivity are expressed in terms … Show more

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Cited by 6 publications
(4 citation statements)
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“…The infrared information of rocks at room temperature (around 293.16 K) is concentrated at the corresponding region of 3-18 µm. Moreover, the wavelength position around 10 µm in the TIR region is the most sensitive to the spectral radiation feature of rocks on Earth surface [26,27]. The TIR spectral information in some bands (between 3 µm and 7 µm and after 15 µm) was considerably affected by water vapour and carbon dioxide in the atmospheric environment.…”
Section: Methods 241 Data Preprocessingmentioning
confidence: 99%
“…The infrared information of rocks at room temperature (around 293.16 K) is concentrated at the corresponding region of 3-18 µm. Moreover, the wavelength position around 10 µm in the TIR region is the most sensitive to the spectral radiation feature of rocks on Earth surface [26,27]. The TIR spectral information in some bands (between 3 µm and 7 µm and after 15 µm) was considerably affected by water vapour and carbon dioxide in the atmospheric environment.…”
Section: Methods 241 Data Preprocessingmentioning
confidence: 99%
“…Measurements on typical metals like Zr, Rh 13 , Ni 14 , W, Ta 15 , Nb 16 etc. show a smooth negative ë dependence of Є ) as expected from the fact that the dominant physical process that the emitted radiation undergo is self-absorption.A material, ZrC 17 , with a high melting point shows a relatively small dependence of Є ) on . Another interesting case is that of graphite nanostructure which has a constant Є ) close to 0.99 over a wide  and temperature range 18 and can be treated as a black body (BB) surface.…”
Section: Absolute Temperature Points Recoverymentioning
confidence: 99%
“…As it was shown in [27, see the chapters 5.1, 5.2], using the polylogarithmic representation for the function 11 ( , , ) p E v v T  [28,29], the conditions (2.5) can be presented in the form:…”
Section: Optimization Task: Search For Optimized Coherent Filter Paramentioning
confidence: 99%
“…This optimization task was solved in [27]. The interval [v1, v1+∆] with a maximal value of the total energy density Ep (v, T) can be found from the following conditions: , ) [28,29], the conditions (2.5) can be presented in the form:…”
Section: Optimization Task: Search For Optimized Coherent Filter Para...mentioning
confidence: 99%