The analytical optimisation of a proposed high-resolution time-of-flight di
ffractometer in back scattering geometry will be shown. To obtain this aim
we have formulated the resolution and the intensity in simple geometric par
ameters. The optimised configuration can be found analytically under the co
ndition of a given resolution by the Lagrange multiplicator method. The equ
ations for resolution and intensity have been compared with Monte Carlo sim
ulation results. (C) 2001 Elsevier Science B.V. All rights reserved.