A wavefront is a surface on which all points are in the same phase of vibration. A point source gives spherical wavefronts; far from the source a small part is nearly plane. Rays are at right angles to wavefronts. Huygen's principle says every point on a wavefront acts as a source of secondary wavelets, and the new wavefront is the surface that touches (is tangent to) these wavelets.
Steady interference needs coherent sources: sources with a constant phase difference, giving light of a single wavelength. Young got them by letting one source light two narrow slits. Bright fringes appear where the path difference is a whole number of wavelengths, dark fringes where it is an odd number of half wavelengths.