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The 2008 German film Die Welle transferred the experiment to a modern-day German classroom. The film received critical acclaim. "The Pride of Lakewood", a 2010 episode of children's animated series Arthur, was loosely based on the Third Wave experiment. In it, students who form a community pride group become fascistic.
Propagation of a wave packet demonstrating a phase velocity greater than the group velocity. This shows a wave with the group velocity and phase velocity going in different directions. The group velocity is positive, while the phase velocity is negative. [1] The phase velocity of a wave is the rate at which the wave propagates in any medium.
The phase velocity varies with frequency. 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-phase signals Out-of-phase signals Representation of phase comparison. [3] 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.
Phase velocity is the rate at which the phase of the wave propagates in space: any given phase of the wave (for example, the crest) will appear to travel at the phase velocity. The phase velocity is given in terms of the wavelength λ (lambda) and period T as v p = λ T . {\displaystyle v_{\mathrm {p} }={\frac {\lambda }{T}}.}
Characteristic phases of a water wave are: the upward zero-crossing at θ = 0, the wave crest at θ = 1 / 2 π, the downward zero-crossing at θ = π and; the wave trough at θ = 3 / 2 π. A certain phase repeats itself after an integer m multiple of 2π: sin(θ) = sin(θ+m•2π).
This phase difference is the geometric phase, and its occurrence typically indicates that the system's parameter dependence is singular (its state is undefined) for some combination of parameters. To measure the geometric phase in a wave system, an interference experiment is required.
The mathematical representation of a radial wave is given by = (+) / where =, is the wavelength, is frequency of the wave and is the phase of the wave at the slits at time t = 0. The wave at a screen some distance away from the plane of the slits is given by the sum of the waves emanating from each of the slits.