Neutron polarization analysis experiments of the past 25 years are rev
iewed. In that time the technique has progressed from a curiosity to b
eing a useful tool to be used when needed. In early experiments, the p
olarization of the scattered beam was analysed in the same direction a
s the polarization of the incident beam but, in some later experiments
, full three-dimensional polarization analysis has been employed. This
article starts by writing down the interactions which the neutron has
with condensed matter and deriving the cross-sections for scattering
and final polarizations of the scattered beam. This is done displaying
the spin state functions of the neutron explicitly. A variety of expe
riments is then reviewed, commencing with the elastic and inelastic sc
attering experiments performed by Moon, Riste Koehler in the late 1960
s. Elastic scattering experiments where it is important to separate nu
clear and magnetic cross-sections such as antiferromagnetic defect sca
ttering are reviewed together with separation out of the nuclear spin
scattering for various purposes. Of particular interest are the fully
three-dimensional analysis experiments which reveal more about the str
ucture and domain populations of certain antiferromagnets. Inelastic e
xperiments for which polarization analysis is vital are those on param
agnets at high temperatures where it is necessary to discriminate agai
nst phonon scattering. Spin glasses are treated as frozen paramagnets
Polarization analysis also has another role to play in the separation
of magnetic modes in both paramagnets and ordered magnets, and several
of these experiments are reviewed. Finally it is possible to tag the
polarization of a neutron beam in time and space and to measure the re
sult at another time and place and this through various techniques yie
lds information about the change in neutron energy on scattering. The
techniques of pseudo-random flipping time of flight, neutron spectral
modulation and neutron spin-echo spectroscopy are briefly reviewed but
the techniques of polarized-neutron-beam management are left to anoth
er review.