Interferogram InstrumentsΒΆ

For an interfereogram instruments each wavelength generates cosine curves on the detector. The cosine curves can be spatial (e.g. spatial heterodyne systems) or temporal ( e.g. michelson interfereometers).

\[s(x,K) = \iint A R(\lambda, \Omega, K) \cos\left[ k\:x \phi \right] \mathrm{d}\lambda\:\mathrm{d}\Omega\]

where,

  1. The effective area of the front aperture, \(A\) is a function of wavelength and solid-angle, \(A(\lambda, \Omega)\)

  2. the spatial wavenumber of the cosine, \(k\), is a function of wavelength and solid-angle, \(k(\lambda,\Omega)\)

  3. the phase of the cosine, \(\phi\), is a function of wavelength and solid-angle, \(\phi(\lambda,\Omega)\)

\[s(x,K) = \iint A(\lambda, \Omega) R(\lambda, \Omega, K) \cos\left[ k(\lambda,\Omega)x + \phi(\lambda,\Omega)\right] \mathrm{d}\lambda\:\mathrm{d}\Omega\]
Diffraction Gratings API