COMPUTER MODELS OF INCANDENSCENT LAMPS

Abstract

The article is devoted to the research of existing and the development of new computer models of the hemispherical and normal spectral coefficient of emission of optical incandescent lamps. Optical lamps (filament electric lamp, FEL) remain a prevalent source of radiation in various optoelectronic systems today. They provide radiation in the ultraviolet, visible, near-infrared (IR-A, NIR), and mid-infrared (IR-B, SWIR) spectral ranges and have typical color temperatures of 2300 K, 2850 K, 3200 K.An analysis of two groups of existing FEL models was carried out.The models of the first group are oriented primarily for existing calibration and certification installations of optoelectronic systems.The models of the second group are more universal and comprehensive.They reproduce the element-by-element structure of the modeled optoelectronic system and use the physical and constructive parameters of significant elements in the modeled system. Planck's formula or Wien's approximation is the basis for all types of temperature source models. Existing models are designed for the visible range and the range of 0.34 μm – 2.6 μm for temperatures of 1600 K – 2800 K, which does not take into account all the capabilities of modern FELs.The aim of the work is to investigate known models and polynomial models for use in calculations of modern optical lamps with temperatures ranging from 2300 K to 3200 K across a wide range of wavelengths, including ultraviolet, IRA, and IR-B.The accuracy of the Larabi and Pon models has been analyzed and their parameters have been modified. The obtained dependencies ensure an increase in accuracy by 1.4 - 4 times.The accuracy and cost-effectiveness of polynomial models of the normal spectral coefficient of radiation in the ultraviolet, visible, IR-A and IR-B spectrum ranges were analyzed. Model coefficients have been calculated based on the criterion of minimizing the root mean square deviation. It has been demonstrated that, according to the criterion of average errors in the range of 0.23 μm - 2.7 μm, all dependencies have errors of less than 5 % throughout the entire range and provide a minimum of 5 correct digits.According to the criterion of maximum errors with a relative error of 5%, linear expressions cannot be applied, and an error of less than 1 % is provided only by cubic polynomials. A combined polynomial model was formed, which provides a methodological error of approximation of less than 1 % in all spectral sub-ranges, and in the visible range of 0.3 μm - 0.94 μm - less than 0.5 %.The time costs of the models are determined and the combined models are formed for use in processing systems with limited computing capabilities.