KnowraHelmholtz equationLinked fromLinked fromThe 10 pages that link to Helmholtz equation, each with the reason it gives.All 10Broader topic 1Related 5Narrower topic 1Compared with 3Green's functionBroader topic: Its Green's function describes the field radiated by a harmonic point source.Poisson's equationCompared with: Its field-dependent term distinguishes wave and resonance problems from Poisson's static source equation.Laplace's equationCompared with: It describes oscillatory fields, while Laplace's equation describes source-free static fields.Harmonic functionCompared with: Its nonzero spectral term distinguishes its solutions from harmonic functions.Plane waveRelated: Plane waves are basic solutions of this equation in uniform media.Paraxial approximationNarrower topic: The paraxial wave equation is derived by simplifying this frequency-domain wave equation.Bessel functionRelated: Separating it in cylindrical coordinates produces Bessel equations for radial dependence.Fourier opticsRelated: Its solutions provide the wave fields that spatial-frequency methods propagate.Yukawa potentialRelated: The static massive-field equation is a modified Helmholtz equation whose point-source solution has Yukawa form.Electromagnetic wave equationRelated: Assuming sinusoidal time dependence converts the time-domain equation into this form.