Step 1: Understanding Huygens' wave theory.
Huygens' wave theory explains the propagation of waves through wavefronts. According to this theory, every point on a wavefront can be considered as a source of secondary spherical wavelets, and the new position of the wavefront is the envelope of these secondary waves.
Step 2: Conclusion.
Thus, Huygens' theory primarily explains the propagation of wavefronts, corresponding to option (D).