what is the meaning of wavenumber
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In the physical sciences, thewavenumber (also wave number or repetency) is the spatial frequency of awave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought as the number of waves per unit time, wavenumber is the numberof waves per unit distance.In general, the angular wavenumber {\displaystyle k} (i.e. themagnitude of the wave vector) is given by
{\displaystyle k={\frac {2\pi }{\lambda }}={\frac {2\pi \nu }{v_{\mathrm {p} }}}={\frac {\omega }{v_{\mathrm {p} }}}}
where {\displaystyle \nu } is the frequency of the wave, {\displaystyle \lambda } is the wavelength, {\displaystyle \omega =2\pi \nu } is the angular frequency of the wave, and {\displaystyle v_{\mathrm {p} }} is the phase velocity of the wave. The dependence of the wavenumber on the frequency (or more commonly the frequency on the wavenumber) is known as a dispersion relation.
{\displaystyle k={\frac {2\pi }{\lambda }}={\frac {2\pi \nu }{v_{\mathrm {p} }}}={\frac {\omega }{v_{\mathrm {p} }}}}
where {\displaystyle \nu } is the frequency of the wave, {\displaystyle \lambda } is the wavelength, {\displaystyle \omega =2\pi \nu } is the angular frequency of the wave, and {\displaystyle v_{\mathrm {p} }} is the phase velocity of the wave. The dependence of the wavenumber on the frequency (or more commonly the frequency on the wavenumber) is known as a dispersion relation.
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what is its formula
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