Time-independent form of the wave equation: (∇² + k²)u = 0, where k is the wavenumber. Arises from separating time dependence u(x,t) = φ(x) e^(−iωt) in the scalar wave equation (k = ω/c). Governs monochromatic optical/acoustic fields,…
Time-independent form of the wave equation: (∇² + k²)u = 0, where k is the wavenumber. Arises from separating time dependence u(x,t) = φ(x) e^(−iωt) in the scalar wave equation (k = ω/c). Governs monochromatic optical/acoustic fields,…