Abstract
Systems and methods for a compact Fourier transform spectrometer. A cell having two transparent walls and containing a liquid crystal medium is placed in a light beam. Applying a voltage across the cell causes the liquid crystal molecules to orient at a certain angle, wherein the angle is a function of the voltage applied. The refractive index if the cell is dependent upon the orientation of the liquid crystal molecules, and from the refractive index of the cell an optical path difference between ordinary and extraordinary waves can be calculated. Accordingly, any suitable optical path difference can be achieved by varying the voltage across the cell for a Fourier transform analysis.