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A square wave is a non-sinusoidal periodic waveform in which the amplitude alternates at a steady ... Animation of the additive synthesis of a square wave with an ...
Animation of the additive synthesis of a square wave (with the periodicity as 1 and the peak-to-peak amplitude as 2 from -1 to 1) with an increasing number of harmonics. The Gibbs phenomenon as oscillations around jump discontinuities is visible especially when the number of harmonics is large.
Fourier series square wave circles animation: Image title: SVG animation visualising the first four terms of the Fourier series of a square wave by CMG Lee. Width: 100%:
And the purple dot is the sum of all six. The arrows represent the amplitudes of sine functions with different peak-values and frequencies. They are the first six terms of a Fourier series derived from the square wave motion of the blue dot, which transitions between only two amplitudes.
A square wave (represented as the blue dot) is approximated by its sixth partial sum (represented as the purple dot), formed by summing the first six terms (represented as arrows) of the square wave's Fourier series. Each arrow starts at the vertical sum of all the arrows to its left (i.e. the previous partial sum).
An animation of the overtaking of two solitary waves according to the Benjamin–Bona–Mahony equation – or BBM equation, a model equation for (among others) long surface gravity waves. The wave heights of the solitary waves are 1.2 and 0.6, respectively, and their velocities are 1.4 and 1.2.
A looped animation of a wave packet propagating without dispersion: the envelope is maintained even as the phase changes. In physics, a wave packet (also known as a wave train or wave group) is a short burst of localized wave action that travels as a unit, outlined by an envelope.
The wave function of an initially very localized free particle. In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common symbols for a wave function are the Greek letters ψ and Ψ (lower-case and capital psi, respectively). Wave functions are complex ...