Initial phase in waves can vary, leading to incoherence, which is characterized by inconsistent phase and amplitude. Coherent waves maintain a constant relative phase, typically observed in monochromatic sources like lasers. Incoherent sources, such as sodium arc lamps, emit photons with random phases and wavelengths. Coherence is a statistical property of oscillators, with highly coherent fields exhibiting stable relative phases, while incoherent fields show rapid phase changes. Techniques like spatial filters and spectral filters can manipulate coherence levels in wave fields.