The inverse blackbody radiation problem: A regularization solution
The inverse blackbody radiation problem: A regularization solution
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逆黑体辐射问题：正则化解决方案
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
D. Jaggard
中科院分区：
文献类型：
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作者：
Xiaoguang Sun;D. Jaggard
逆黑体辐射问题是在给定总辐射功率谱的情况下确定热辐射器的温度分布的问题。尽管已经开发了几种反演方法，但由于拉普拉斯反演的必要性或由于其固有的不适定性，它们在实际实施中存在问题。这里演示了使用吉洪诺夫正则化技术解决这些问题的数值实现。该方法克服了实际实现中的不适定问题，但产生了准确的结果。此处显示的示例包括存在噪声损坏数据时的稳健重建。
The inverse blackbody radiation problem is the problem of determining the temperature distribution of a thermal radiator given its total radiated power spectum. Although several inversion methods have been developed, they have problems in practical implementation because of the necessity of Laplace inversion or due to their inherent ill‐posedness. Here a numerical implementation which addresses these problems using Tikhonov’s regularization technique is demonstrated. This method overcomes the problem of ill‐posedness in practical implementations and yet yields accurate results. Examples shown here include a robust reconstruction in the presence of noise corrupted data.