wavenumber derivations

1. wavenumber from frequency

   symbol	description	unit	variable name
   \(c\)	speed of light	\(\frac{m}{s}\)
   \(\nu\)	frequency	\(Hz\)	frequency {:}
   \(\tilde{\nu}\)	wavenumber	\(\frac{1}{m}\)	wavenumber {:}

   The pattern : for the first dimensions can represent {spectral}, {time}, {time,spectral}, or no dimensions at all.

   \[\tilde{\nu} = \frac{\nu}{c}\]

2. wavenumber from wavelength

   symbol	description	unit	variable name
   \(\lambda\)	wavelength	\(m\)	wavelength {:}
   \(\tilde{\nu}\)	wavenumber	\(\frac{1}{m}\)	wavenumber {:}

   The pattern : for the first dimensions can represent {spectral}, {time}, {time,spectral}, or no dimensions at all.

   \[\tilde{\nu} = \frac{1}{\lambda}\]