We experimentally and theoretically investigate the coherent response of Tm
3+ ions in yttrium aluminum garnet (YAG). Working on the H-3(6)(1)-->H-3(4)
(1) transition we observe optical nutation signals that exhibit multiple di
stinct Fourier components having polarization-dependent frequencies and wei
ghts. This phenomenon is caused by the presence of six different transition
-dipole moment orientations of Tm3+ ions in YAG and a resultant dependence
of ion-field coupling on field-propagation direction and polarization. Expe
rimental data shown are in excellent agreement with simulation results base
d on numerical integration of the Maxwell-Bloch equations. [S1050-2937(99)5
1810-6].