One-dimensional diffraction-grating theory is developed in vector notation. First-order expressions are derived for the effects of the rotation of the grating about an arbitrary axis upon the diffracted beam. These results are applied to the three-grating interferometer whose characteristics are given in some detail. Generalization to moiré patterns or to any number of gratings with arbitrary separations is indicated.
H. MENDLOWITZ and J. AROL SIMPSON, "On the Theory of Diffraction Grating Interferometers," J. Opt. Soc. Am. 52, 520-520 (1962)