Formula: Relationship Between Wave Number and Angular Wave Number
$$k ~=~ 2\pi \, \nu$$
$$k ~=~ 2\pi \, \nu$$
$$\nu ~=~ \frac{k}{2\pi}$$
Angular wavenumber
$$ k $$ Unit $$ \frac{\mathrm{rad}}{\mathrm{m}} $$
Angular wave number indicates the covered phase angle of a wave per meter.
Wavenumber
$$ \nu $$ Unit $$ \frac{1}{\mathrm{m}} $$
Wavenumber indicates how many times the wavelength of a periodic wave fits into one meter.