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The phase velocity is the rate at which the phase of the wave propagates in space. The group velocity is the rate at which the wave envelope, i.e. the changes in amplitude, propagates. The wave envelope is the profile of the wave amplitudes; all transverse displacements are bound by the envelope profile.
In mathematical physics, the wave maps equation is a geometric wave equation that solves = where is a connection. [1] [2] It can be considered a natural extension of the wave equation for Riemannian manifolds. [3]
The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves).
If a concave parabolic obstacle is used, a plane wave pulse will converge on a point after reflection. This point is the focal point of the mirror. Circular waves can be produced by dropping a single drop of water into the ripple tank. If this is done at the focal point of the "mirror" plane waves will be reflected back.
Wave properties may refer to: Physical properties of waves : transmission, reflection, polarization, diffraction, refraction and others Mathematical description of waves : amplitude, frequency, wavelength, and others
Left: the real part of a plane wave moving from top to bottom. Right: the same wave after a central section underwent a phase shift, for example, by passing through a glass of different thickness than the other parts. Out of phase AE. A real-world example of a sonic phase difference occurs in the warble of a Native American flute.