Probability density of the multipole vectors for a Gaussian cosmic microwave background
Probability density of the multipole vectors for a Gaussian cosmic microwave background
复制标题
高斯宇宙微波背景的多极向量的概率密度
DOI：
10.1111/j.1365-2966.2007.12484.x
复制
发表时间：
2007
影响因子：
4.8
通讯作者：
K. Land
中科院分区：
文献类型：
--
作者：
Mark R. Dennis;K. Land
我们回顾了麦克斯韦的多极矢量，并阐明了它们的一些数学性质，重点介绍了该工具在宇宙微波背景（CMB）中的应用。特别地，对于球上的完全随机函数（对应于CMB的统计各向同性高斯模型），我们导出了多极向量的全概率密度函数。利用该函数分析了Wilkinson微波各向异性探测器四极子和八极子的内部结构，结果表明观测结果与高斯预测一致。一个特别的方面是章鱼的平面性，我们发现这并不反常。
We review Maxwell's multipole vectors, and elucidate some of their mathematical properties, with emphasis on the application of this tool to the cosmic microwave background (CMB). In particular, for a completely random function on the sphere (corresponding to the statistically isotropic Gaussian model of the CMB), we derive the full probability density function of the multipole vectors. This function is used to analyse the internal configurations of the third-year Wilkinson Microwave Anisotropy Probe quadrupole and octopole, and we show that the observations are consistent with the Gaussian prediction. A particular aspect is the planarity of the octopole, which we find not to be anomalous.