日本金属学会誌

J. Japan Inst. Metals, Vol. 67, No. 11 (2003),
pp. 668-674

The Estimation Formula on the Spectral Emissivity of Color Metals Based on Nonlinear Free Electron Model

Masaaki Yamamura1, Takao Yamaguchi2, Imao Nagasaka2, Setsuro Hiraoka3 and Hisasi Mizui4

1Department of Information Processing Education, Faculty of Engineering, Chubu University, Kasugai 487-8501
2Department of Mechanical Engineering, Faculty of Engineering, Chubu University, Kasugai 487-8501

3Department of Applied Chemistry, Nagoya Institute of Technology, Nagoya 466-8555

4Toyota Technical Senior High School, Toyota 473-9013

Abstract:

The spectral emissivity of metals has been analyzed by the linear equation governing motion of electrons. Such analysis is sufficient if we discuss the spectral emissivity for relatively wide wavelength range from macroscopic viewpoint.

\hspace*1emWhen we determine the true temperature from a measured color temperature, we need the accurate spectral emissivity in the narrow wavelength range in the vicinity of the visible ray. But the spectral emissivity of color metals, such as gold and copper, varies roughly depending on wavelength in that range. Therefore the spectral emissivity obtained by the linear dissipation theory does not agree enough to be measured due to the nonlinear characteristic of this phenomenon.

In this paper, we take into account the nonlinearity in the equation governing free electrons motion, and using the solution of this equation we derive the nonlinear optical dispersion formula which estimates dependency of the wavelength on spectral emissivity. As the result, by using this formula we have succeeded to describe more accurately the spectral emissivity of color metals which varies roughly with wavelength.


(Received June 25, 2003)

Keywords:

spectral emissivity, color metal, nonlinear analysis, optical dispersion formula, temperature measurement


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