The coordinate-transformation-based differential method, initially used by Chandezon et al. for modeling surface-relief gratings, is now known as a powerful rigorous formalism for solving diffraction problems. We explain a coordinate transformation that generalizes the original one, and we extend the formulation to a wide class of monodimensional surface shapes. The boundary-value problem turns on the same eigenvalue problem for the TE and TM polarizations.
© 1999 Optical Society of America
Original Manuscript: August 3, 1998
Revised Manuscript: November 3, 1998
Manuscript Accepted: October 6, 1998
Published: March 1, 1999
J. P. Plumey and G. Granet, "Generalization of the coordinate transformation method with application to surface-relief gratings," J. Opt. Soc. Am. A 16, 508-516 (1999)