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arXiv 1007.4351gr-qc
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射电天文学用的NP斯托克斯场

NP Stokes fields for radio astronomy

Ezra T. Newman, Richard H. Price

摘要:

角函数的自旋加权球谐(SWSH)描述通常与纽曼-彭罗斯(NP)零四分体形式主义相关联。近年来,在宇宙微波背景的极化各向异性研究中,SWSH描述而非NP描述被广泛应用。在这里,我们将这种应用程序的SWSH的电磁辐射和极化的NP形式主义的描述。特别是,我们引入NP斯托克斯领域的斯托克斯参数的NP等价。除了为最近的宇宙学SWSH应用提供更一致的基础外,NP形式主义还有助于计算偏振的洛伦兹变换性质。

英文摘要:

The spin weighted spherical harmonic (SWSH) description of angular functions typically is associated with the Newman-Penrose (NP) null tetrad formalism. Recently the SWSH description, but not the NP formalism, has been used in the study of the polarization anisotropy of the cosmic microwave background. Here we relate this application of SWSHs to a description of electromagnetic radiation and polarization in the NP formalism. In particular we introduce NP Stokes fields that are the NP equivalent of the Stokes parameters. In addition to giving a more coherent foundation for the recent cosmological SWSH application, the NP formalism aids in the computation of the Lorentz transformation properties of polarization.

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