We present a general solution for the radiation intensity in front of a purely absorbing slab moving toward an observer at constant speed and with a constant temperature. The solution is obtained by integrating the lab-frame radiation transport equation through the slab to the observer. We present comparisons between our benchmark and results from the Kull simulation code for an aluminum slab moving toward the observer at 2% the speed-of-light. We demonstrate that ignoring certain material motion correction terms in the transport equation can lead to 20-80% errors with the error magnitude growing as the frequency resolution is improved. Our results also indicate that our benchmark can identify potential errors in the implementation of material motion corrections.

中文翻译：

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辐射传输的频率相关材料运动基准

我们提出了一个以恒定速度和恒定温度向观察者移动的纯吸收板前面的辐射强度的一般解决方案。该解是通过将实验室框架辐射传输方程通过板集成到观察者而获得的。我们比较了我们的基准和 Kull 模拟代码的结果，铝板以 2% 的光速向观察者移动。我们证明，忽略输运方程中的某些材料运动校正项会导致 20-80% 的误差，并且随着频率分辨率的提高，误差幅度也会增加。我们的结果还表明，我们的基准测试可以识别材料运动校正实施中的潜在错误。