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A trough is the opposite of a crest, so the minimum or lowest point of the wave. When the crests and troughs of two sine waves of equal amplitude and frequency intersect or collide, while being in phase with each other, the result is called constructive interference and the magnitudes double (above and below the line).
Trough (geology), a long depression less steep than a trench; Trough (meteorology), an elongated region of low atmospheric pressure; Trough (physics), the lowest point on a wave; Trough level (medicine), the lowest concentration of a medicine is present in the body over time; Langmuir-Blodgett trough, a laboratory instrument
If a trough forms in the mid-latitudes, a temperature difference at some distance between the two sides of the trough usually exists and the trough might become a weather front at some point. However, such a weather front is usually less convective than a trough in the tropics or subtropics (such as a tropical wave ).
In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats. [1] [2] In other words, it is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings.
A standing wave, also known as a stationary wave, is a wave whose envelope remains in a constant position. This phenomenon arises as a result of interference between two waves traveling in opposite directions. The sum of two counter-propagating waves (of equal amplitude and frequency) creates a standing wave. Standing waves commonly arise when ...
A plunging wave occurs when the ocean floor is steep or has sudden depth changes, such as from a reef or sandbar. The crest of the wave becomes much steeper than a spilling wave, becomes vertical, then curls over and drops onto the trough of the wave, releasing most of its energy at once in a relatively violent impact.
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.
Significant wave height H m0, defined in the frequency domain, is used both for measured and forecasted wave variance spectra.Most easily, it is defined in terms of the variance m 0 or standard deviation σ η of the surface elevation: [6] = =, where m 0, the zeroth-moment of the variance spectrum, is obtained by integration of the variance spectrum.