Recent advances and present limitations of the electromagnetic theory of diffraction gratings

A review is given on recent advances of grating theory in three areas: (1) S- and R-matrix algorithms, (2) Fourier factorization, and (3) parametric coordinate transformation, all aimedat improving numerical stability and convergence speed of grating analysis methods.

[1]  Lifeng Li,et al.  Use of Fourier series in the analysis of discontinuous periodic structures , 1996 .

[2]  T. W. Preist,et al.  Optical response of blazed and overhanging gratings using oblique chandezon transformations , 1997 .

[3]  Gérard Granet,et al.  Reformulation of the lamellar grating problem through the concept of adaptive spatial resolution , 1999 .

[4]  M. Auslender,et al.  Scattering-matrix propagation algorithm in full-vectorial optics of multilayer grating structures. , 1996, Optics letters.

[5]  Lifeng Li,et al.  Oblique-coordinate-system-based Chandezon method for modeling one-dimensionally periodic, multilayer, inhomogeneous, anisotropic gratings , 1999 .

[6]  Philippe Lalanne,et al.  Effective properties and band structures of lamellar subwavelength crystals: Plane-wave method revisited , 1998 .

[7]  Lifeng Li,et al.  New formulation of the Fourier modal method for crossed surface-relief gratings , 1997 .

[8]  Lifeng Li,et al.  IMPROVEMENT OF THE COORDINATE TRANSFORMATION METHOD FOR SURFACE-RELIEF GRATINGS WITH SHARP EDGES , 1996 .

[9]  P. Lalanne,et al.  Highly improved convergence of the coupled-wave method for TM polarization and conical mountings , 1996, Diffractive Optics and Micro-Optics.

[10]  Brahim Guizal,et al.  Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization , 1996 .

[11]  D. Maystre,et al.  A new theoretical method for diffraction gratings and its numerical application , 1980 .

[12]  Lifeng Li,et al.  Reformulation of the fourier modal method for surface-relief gratings made with anisotropic materials , 1998 .

[13]  Brahim Guizal,et al.  Coordinate transformation method as applied to asymmetric gratings with vertical facets , 1997 .

[14]  J. Plumey,et al.  Generalization of the coordinate transformation method with application to surface-relief gratings , 1999 .

[15]  Lifeng Li.  Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings , 1996 .