線形計画法による測定値のデータ処理

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It is possible to get the spectral energy distributions of light sources or the spectral transmittances of optical filters by solving the matrices of which the elements are the relevant values of retarding potential characteristic curves of a photoelectric tube under illumination of tested lights or transmitted lights through tested filters. In those cases, the solutions are affected remarkably by the errors which are involved in measured values so that solutions which fail to meet the problems in physics or engineering are sometimes obtained. Then, in order to get good results, the only way is to measure the current of photoelectric tube with high accuracy. In this paper, we describe the principle to obtain the spectral energy distributions of light sources by means of linear programming applicable to retarding potential characteristics of a photoelectric tube. Next, we obtain the spectral transmittance of an optical interference filter as a practical example. In computation of it, two sorts of numerical values of the retarding characteristic of the photoelectric tube used in experiment are adopted; say, one is reduced from the theoretical equation and the other is a real measured value. The final results obtained by linear programming agree fairly well with those obtained by the conventional spectrophotometric method. In general, careful efforts are made in experiments to minimize the errors involved in measured values and the least squares method is often used when unavoidable errors still exist. In some cases, however, it may be difficult to repeat the measurements many times or to measure with high accuracy. In those cases, linear programming may be useful for the data processing.
福山大学の論文

線形計画法による測定値のデータ処理

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