A new formulation of the Chandezon method for crossed gratings is presented. In the nonorthogonal translation coordinate system, an arbitrary field in a homogeneous source-free region can be expressed as the sum of a TE field and a TM field. It is shown that the whole solution can be derived from the eigensolutions of an operator independent of the polarization. In addition, use is made of the <i>S</i>-matrix formalism to include multilayer coated crossed gratings with parallel faces. Numerical results are given for sinusoidal crossed gratings and pyramidal gratings.
© 1998 Optical Society of America
Gérard Granet, "Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings," J. Opt. Soc. Am. A 15, 1121-1131 (1998)