Standing wave - definition

A Standing Wave is a special case of the interference of two waves of the same frequency, amplitude and direction of polarisation, travelling in opposite directions in the same medium. Their overlap results in a non-diverging system of oscillations in which alternating areas of maximum amplification (arrows) and total extinction (nodes) are observed. A characteristic feature of a standing wave is that energy is not transferred through the medium in the direction of propagation, but oscillates locally around equilibrium points.

Mathematically, a standing wave is described as the sum of two oppositely running harmonic waves. Its spatial profile remains constant over time, while the amplitude of oscillation at individual points varies periodically according to a function of time. The nodes of the wave are the locations where the amplitude of oscillation is zero at any time, while the arrows are the points of maximum excursion where mechanical or electromagnetic energy locally concentrates.

The standing wave phenomenon appears in Others in physics, including acoustics, optics, electronics and wave mechanics. In waveguides, transmission lines, musical instruments or resonators, the formation of a standing wave is most often due to reflection of the wave from the boundaries of the medium or discontinuities impedance. The boundary conditions determine the allowed wavelengths, leading to discrete resonant mods.

In technical analysis, a standing wave is described, among other things, by the standing wave coefficient (VSWR), which reports on the effectiveness of impedance matching in high-frequency systems. The presence of a strong standing wave can lead to energy loss, signal distortion and local system overheating. On the other hand, the conscious use of standing waves in resonant systems enables precise frequency tuning, signal filtering and amplification of oscillations in specific bands.

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