基于辐射能量分布函数的黑体辐射天地一致性理论推导

Derivation of Blackbody Radiation Congruity Theory between High Altitude and Ground Based on Function of Radiation Energy Distribution

针对在地面高温环境中模拟高空飞行器蒙皮较低的温度分布难度大,且在地面高温背景中低温目标辐射测量误差大的问题,提出黑体辐射地面静态等效模拟测量一致性理论。通过引入光谱辐射能量分布函数和积分辐射能量分布函数,理论推导得出黑体辐射能量与温度、波长的关系,并进行理论自洽验证,提出了在地面状态下测量高空飞行器低温蒙皮辐射特性的天地一致性理论。该理论表明:温度为T的黑体在波长λ上的光谱辐射强度等于温度为nT的黑体在波长λ/n上的光谱辐射强度的(1/n)^(5);温度为T的黑体在波长λ_(1)~λ_(2)范围内的积分辐射强度等于温度为nT的黑体在波长λ_(1)/n~λ_(2)/n范围内积分辐射强度的(1/n)^(4)。

Considering the difficulty of simulating the temperature of high altitude aircraft’s surface and the uncertainty of measuring the radiation signature of low temperature target on the ground,a congruity theory of blackbody radiation was developed.The functions of spectral radiation energy distribution and integrated radiation energy distribution were introduced to derive the relationship between the radiaiton energy and temperature,as well as wavelength,of a blackbody,which was validated by theoretical self-consistent.On the basis of the mathmatical relationship,the congruity theory of aircraft’s surface radiation measurement between high altitude and ground was developed.The results indicate that the spectral radiation intensity of a blackbody in the wavelength ofλat the temperature of T is equal to 1/n5 times the spectral radiation intensity of a blackbody in the wavelength ofλ/n at the temperature of nT,and the integrated radiation intensity of a blackbody in the wavelength band betweenλ_(1) andλ_(2) at the temperature of T is equal to 1/n^(4) times the integrated radiation intensity of a blackbody in the wavelength band betweenλ_(1)/n andλ_(2)/n at the temperature of nT.