Full vector treatment of the polarization evolution in an arbitrary field distribution

This paper presents a vector representation of the ensemble muon polarizationP(t) for static field distributions which emphasizes the different behavior resulting from correlated and non-correlated field distributions. For example, with most local field distributions, such as random dipolar fields, the net muon polarization in the limit of infinite timeP(t) is parallel to the initial muon spin direction when the using transverse field (TF) or longitudinal field (LF) geometries. In general, however, it need not be; this will be demonstrated using the field distribution of an anisotropic superconductor.