A varying refractive index across a wavefront leads to a change in the
direction of propagation of the wave(1,2). This provides the basis fo
r phase-contrast imaging of transparent or weakly absorbing materials
with highly coherent X-ray beams(3,4). Lattice distortions can also ch
ange the direction of propagation of a wave field diffracted from a cr
ystal. Here we report the use of this principle to effect phase-contra
st imaging of the domain structure of a ferroelectric material, lithiu
m niobate. A periodically domain-inverted structure for quasi-phase-ma
tching of second-harmonic generation is created in this material, in w
hich the direction of spontaneous polarization is sequentially inverte
d. Because of complex interactions during domain-inversion processing,
this is accompanied by lattice distortions across the domain walls. T
hese distortions split the diffracted wavefront of a beam of coherent
X-rays from an advanced synchrotron source, giving rise to a pattern o
f interference that reflects the underlying pattern of lattice distort
ions. These results show that this phase-contrast imaging technique wi
th sub-micrometre spatial resolution permits the non-destructive, high
ly sensitive phase-mapping of various structural defects and distortio
ns introduced into materials during processing.