# Ricker wavelet

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A model seismic wavelet.

The amplitude A of the Ricker wavelet with peak frequency f at time t is computed like so:

${\displaystyle A=(1-2\pi ^{2}f^{2}t^{2})e^{-\pi ^{2}f^{2}t^{2}}}$
Example Ricker wavelet, as plotted by WolframAlpha

Sometimes the period (somewhat erroneously referred to occasionally as the wavelength) is given as 1/f, but since it has mixed frequencies, this is not quite correct, and for some wavelets is not even a good approximation. In fact, the Ricker wavelet has its sidelobe minima at

${\displaystyle \pm {\frac {\sqrt {3/2}}{f\pi }}}$

These minima have the value

${\displaystyle A_{\mathrm {min} }=-{\frac {2}{e^{3/2}}}}$