We describe a phase contrast based MRI technique with high sensitivity
to cyclic displacement that is capable of quantitatively imaging acou
stic strain waves in tissue-like materials. A formalism for considerin
g gradient waveforms as basis functions to measure arbitrary cyclic mo
tion waveforms is introduced. Experiments with tissue-like agarose gel
phantoms show that it is possible to measure small cyclic displacemen
ts at a submicron level by an appropriate choice of the applied gradie
nt basis function and to use this capability to observe the spatial an
d temporal pattern of displacements caused by acoustic strain waves. T
he propagation characteristics of strain waves are determined by the m
echanical properties of the media. It is therefore possible to use thi
s technique to noninvasively estimate material properties such as elas
tic modulus.