Masaaki Yamamura1, Takao Yamaguchi2, Imao Nagasaka2, Setsuro Hiraoka3 and Hisasi Mizui4
1Department of Information Processing Education, Faculty of Engineering, Chubu University, Kasugai 487-8501
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)
spectral emissivity, color metal, nonlinear analysis, optical dispersion formula, temperature measurement
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