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Interpolation errors for radiation thermometry

Peter Saunders and D Rod White

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An analysis is presented that allows the interpolation errors to be determined for radiation thermometers calibrated through the use of interpolation equations. For a given spectral responsivity shape, the errors depend only on the mean wavelength and relative bandwidth of the spectral responsivity, and on the temperature range over which the equation is used. This allows the interpolation errors for all applications of radiation thermometry to be summarized in a simple form and provides a guide to the selection of mean wavelength and bandwidth for a given application so that the interpolation error can be rendered negligible. The analysis is demonstrated by evaluating the interpolation errors for the widely used Wien and Planck versions of the Sakuma–Hattori interpolation equation.


PACS

07.20.Dt Thermometers

44.40.+a Thermal radiation

02.60.Ed Interpolation; curve fitting

06.20.Dk Measurement and error theory

Subjects

Computational physics

Instrumentation and measurement

Statistical physics and nonlinear systems

Dates

Issue 1 (February 2004)

Received 20 June 2003

Published 10 December 2003



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