  We develop a novel hyperspectral imaging system using structured illumination
in an SLM-based Michelson interferometer. In our design, we use a reflective
SLM as a mirror in one of the arms of a Michelson interferometer, and scan the
interferometer by varying the phase across the SLM display. For achieving the
latter, we apply a checkerboard phase mask on the SLM display where the gray
value varies between 0-255, thereby imparting a dynamic phase of up to
262{\deg} to the incident light beam. We couple a supercontinuum source into
the interferometer in order to mimic an astronomical object such as the Sun,
and choose a central wavelength of 637.4 nm akin to the strong emission line of
Fe X present in the solar spectrum. We use a bandwidth of 30 nm, and extract
fringes corresponding to a spectral resolution of 3.8 nm which is limited by
the reflectivity of the SLM. We also demonstrate a maximum wavelength
tunability of ~8 nm by varying the phase over the phase mask with a spectral
sampling of around 0.03 nm between intermediate fringes. The checkerboard phase
mask can be adapted close to real time on time-scales of a few tens of
milliseconds to obtain spectral information for other near-contiguous
wavelengths. The compactness, potential low cost, low power requirements,
real-time tunability and lack of moving mechanical parts in the setup implies
that it can have very useful applications in settings which require near
real-time, multi-wavelength spectroscopic applications, and is especially
relevant in space astronomy.

Optics;Instrumentation and Methods for Astrophysics