Although neutron diffraction provides a unique tool for the sub-surface mea
surement of elastic strain within engineering components, the technique is
characterised by slow rates of data acquisition. The use of a radially coll
imated diffracted beam for defining the gauge volume enables large, positio
n-sensitive detectors (PSD) to be used, with the acceleration of the data c
ollection process. As a result, focusing collimators are being used or are
being considered for use on many new and existing neutron strain scanning i
nstruments. The gauge volume is of key importance when measuring strain or
stress by any technique. In this paper we introduce a formalism for quantif
ying the gauge volume and a phase space representation for its visualisatio
n. These are used to describe and analyse the performance of radial (someti
mes loosely called 'focusing') collimation systems in general, and to compa
re their performance with traditional and cheaper aperture-based volume def
inition methods. It is shown that radial collimation of the diffracted beam
is an essential companion to a PSD at pulsed sources if a high level of sp
atial discrimination is to be achieved and can be of value at constant flux
sources. Geometrical aberrations, which have previously been well document
ed for slit gauge definition systems, are a necessary consequence of the ga
uge definition process and give rise to apparent strains when scanning thro
ugh a surface. Knowing the radial collimator geometry, the geometrical shif
ts in the peak positions can be predicted, and the shifts corrected for to
provide accurate residual strain measurements, even near surface. (C) 2000
Elsevier Science B.V. All rights reserved.