KnowraPlane wavePlane waveA wave whose surfaces of constant phase are parallel planes, with the same phase and amplitude across each plane.BriefConnectWave vector: A vector that points along a wave’s propagation direction and has magnitude equal to its angular wavenumber. It specifies the direction and spatial rate of phase change across the plane wave.Wavelength: The spatial period of a repeating wave, measured between equivalent points in successive cycles. It sets the spacing between equivalent phase planes.Electromagnetic wave: A propagating disturbance of electric and magnetic fields. In a uniform medium, an electromagnetic wave can have plane wavefronts and a fixed polarization.Spherical wave: A wave whose constant-phase surfaces are concentric spheres centered on a source. Unlike a plane wave, it spreads radially and its amplitude can decrease with distance.Phase velocity: The speed at which a surface of constant phase moves through space. It determines how quickly the plane wave’s parallel phase planes advance.Frequency: The number of cycles of a periodic phenomenon per unit time. Together with wavelength, it determines a plane wave’s temporal and spatial oscillation.Acoustic wave: A mechanical pressure disturbance that propagates through a material medium. A plane acoustic wave models sound traveling uniformly in one direction.Cylindrical wave: A wave whose constant-phase surfaces are concentric cylinders around an axis. Its wavefront curvature and spreading differ from the plane wave’s parallel surfaces.Helmholtz equation: A partial differential equation describing spatial fields with a single frequency. Plane waves are basic solutions of this equation in uniform media.Phase: A quantity that specifies a position within a repeating cycle. A plane wave’s constant-phase surfaces define its characteristic geometry.Show all 21Linked from 14 pagesWavefrontBroader topic: It is the simplest wavefront geometry.Bloch's theoremRelated: The theorem separates this traveling-wave factor from the lattice-periodic part.Fresnel equationsNarrower topic: The standard derivation treats incident, reflected, and transmitted light as plane waves.Klein–Gordon equationBroader topic: Substituting plane waves reveals the equation’s relativistic energy–momentum relation.Dispersion relationRelated: Plane-wave solutions make frequency and wave number explicit.Poynting vectorBroader topic: Its simple field geometry makes the vector's magnitude and direction explicit.Parabolic reflectorRelated: At large distances, incoming radiation is often approximated as a plane wave with parallel rays.Electromagnetic wave equationBroader topic: Plane-wave solutions make propagation direction, speed, and polarization explicit.Show all 14