%0 Journal Article %T Harmonic morphisms and shear-free ray congruences %A P. Baird %A J. C. Wood %J Mathematics %D 2003 %I arXiv %X We describe the relationship between complex-valued harmonic morphisms from Minkowski 4-space} and the shear-free ray congruences of mathematical physics. Then we show how a horizontally conformal submersion on a domain of Euclidean 3-space gives the boundary values at infinity of a complex-valued harmonic morphism on hyperbolic 4-space. %U http://arxiv.org/abs/math/0306390v1