This paper is concerned with the numerical solution of an inverse diffraction grating problem, which is to reconstruct a periodic grating profile from measurements of the phaseless diffracted field at a constant height above the grating structure. An efficient continuation method is developed to recover the Fourier coefficients of the periodic grating profile. The continuation proceeds along the wavenumber and updates are obtained from the Landweber iteration at each step. Numerical results are presented to show that the method can effectively reconstruct the shape of the grating profile.
© 2013 Optical Society of America
Diffraction and Gratings
Original Manuscript: November 16, 2012
Manuscript Accepted: December 17, 2012
Published: February 5, 2013
Gang Bao, Peijun Li, and Junliang Lv, "Numerical solution of an inverse diffraction grating problem from phaseless data," J. Opt. Soc. Am. A 30, 293-299 (2013)