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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).
A trough is an elongated area of lower air pressure. Since pressure is closely linked to wind, there are often changes in wind direction across a trough. 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
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
Sine waves occur often in physics, including wind waves, sound waves, and light waves, such as monochromatic radiation. In engineering , signal processing , and mathematics , Fourier analysis decomposes general functions into a sum of sine waves of various frequencies, relative phases, and magnitudes.
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.
The wave height – difference between the crest and trough elevation – is denoted as , the wavelength as and the phase speed as . In fluid dynamics, a trochoidal wave or Gerstner wave is an exact solution of the Euler equations for periodic surface gravity waves.
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.
Shortwave trough with associated vorticity. A shortwave or shortwave trough is an embedded kink in the trough / ridge pattern. Its length scale is much smaller than that of and is embedded within longwaves, which are responsible for the largest scale (synoptic scale) weather systems.