or a nonisothermal blackbody cavity, different reference temperatures have influence on the calculation of effective emissivity. Previous studies proposed a weighted average method which can be indicated by a priori to calculate the reference temperature. However, these studies did not mention how to define the weight function but used some arbitrary temperature or the temperature of a fixed position like the central bottom of the cavity as the reference temperature. In this study, a quantitative analysis and calculation method, which is implemented in the Monte Carlo method based optical simulation software Tracepro, is proposed to define the weight coefficients and optimize the reference temperature. To do so, in the Tracepro software, a surface source is placed in front of the cavity opening and emits radiation to the blackbody cavity. The radiation from this surface source can be absorbed or reflected many times in the cavity, and finally the incident radiation distribution in the cavity can be obtained. According to the principle of light path reversibility, the normalized incident radiation can be considered as the contribution of its position to the effective emissivity. In the experiment, the actual temperatures of two different-shaped blackbody cavities are measured with the non-contact method in 873 K temperature. By dividing the inner surface of each blackbody cavity into several regions based on the positions of the actually measured temperature points, the incident radiation from the surface source to each segmented region is calculated and normalized to the total incident radiation across all regions as its weight coefficient; the reference temperature is the sum of the weighted temperature (by multiplying each weight coefficient with its measured temperature) in each region. Different from previous studies, this study optimizes the reference temperature by considering the contribution of the whole cavity to the effective emissivity, which should be more consistent with the actual situation. Moreover, the influences of different shapes of the blackbody cavities, different radiation characteristics of the inner surface materials and different viewing conditions of the effective emissivity on the reference temperature are discussed and compared. The results suggest that the optimization of reference temperature has close link with above factors and thus should be calculated individually.

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