In a recent experiment a wake was created in a two-dimensional lattice of c
harged dust grains by a charge moving parallel to the lattice plane. Multip
le "Mach cones" were observed in the wake. This paper describes a linear th
eory of the phonon wake caused by a charge moving relative to a crystalline
lattice. The theory predicts multiple structures in the wake that are qual
itatively similar to those observed in the experiments. These structures ar
e caused by constructive interference of compressional phonons excited by t
he moving charge, combined with the strongly dispersive nature of these pho
nons. (C) 2000 American Institute of Physics. [S1070-664X(00)04810-2].