Real Temperature Inversion Algorithm for Near-Infrared
Multi-Wavelength Pyrometer Based on Multi Constraint
Optimization Principle
ZHANG Fu-cai1, DING Zhi-yu1, SHENG Zi-liang1, SUN Xiao-gang2*
1. School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi'an 710021, China
2. Harbin Institute of Technology, Harbin 150001, China
Abstract：The Multi-wavelength pyrometer is a crucial non-contact temperature measurement instruments that simultaneously detect radiant energy from targets at different wavelengths, enabling real temperature retrieval through data processing. This measurement methodology eliminates physical contact with the measured target, thereby preserving its original thermal characteristics and temperature distribution, making it particularly valuable in high-temperature and ultra-high-temperature applications. The temperature inversion process fundamentally relies on establishing correlations between emissivity and wavelength or radiance temperature. Emissivity, a critical parameter quantifying a radiator's emission capacity relative to blackbody radiation, serves as the bridge connecting real-world radiators with blackbody radiation laws. By determining the emissivity and radiance temperature at specific wavelengths, the real temperature can be computationally derived. Despite decades of international research advancements, two persistent challenges remain: (1) Time-dependent variations in emissivity can lead to significant temperature calculation errors whenever applied models differ from actual conditions; (2) Conventional emissivity-temperature-wavelength relationship models, developed typically through rigorous experimentation and empirical validation, demonstrate limited generalizability and often fail to perform effectively whenever the objects or conditions being measured are altered. The study proposes an innovative emissivity model-independent methodology for rapid real temperature inversion in multi-wavelength pyrometry. By analyzing intrinsic constraints within multi-wavelength measurement theory and integrating them with multi-constraint optimization principles, we developed a novel temperature inversion framework. The approach eliminates traditional dependence on predefined emissivity models while maintaining measurement accuracy. Through rigorous theoretical derivation and experimental validation, we demonstrated the feasibility and universality of this multi-constraint optimization-based method, establishing a new paradigm for multi-spectral pyrometric temperature solutions. This advancement provides enhanced adaptability for diverse measurement scenarios and evolving target characteristics.
Key words：Multi-wavelength; Real Temperature; Emissivity; Optimization
张福才，丁治宇，盛子良，孙晓刚. 基于多约束优化原理的近红外多波长高温计真实温度反演算法[J]. 光谱学与光谱分析, 2025, 45(12): 3441-3446.
ZHANG Fu-cai, DING Zhi-yu, SHENG Zi-liang, SUN Xiao-gang. Real Temperature Inversion Algorithm for Near-Infrared
Multi-Wavelength Pyrometer Based on Multi Constraint
Optimization Principle. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2025, 45(12): 3441-3446.
