# Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings

Granet 1998: The C method for gratings periodic in two directions. In the non-orthogonal translation coordinate system that follows the surface, Granet…

Canonical: https://mcgrating.com/publications/granet-1998-chandezon-method-crossed-gratings.html


Gérard Granet

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 (1998). [https://doi.org/10.1364/josaa.15.001121](https://doi.org/10.1364/josaa.15.001121)

The C method for gratings periodic in two directions. In the non-orthogonal translation coordinate system that follows the surface, Granet shows that any field in a homogeneous region can be written as a TE part plus a TM part, and that the complete solution follows from the eigensolutions of a single operator that does not depend on polarization. Multilayer crossed gratings are handled by the same propagation scheme as in one dimension.

Chandezon Crossed implements this formulation; the site's history records the crossed C-method code as available from 2010.

**Implemented in**: [Chandezon Crossed](https://mcgrating.com/products.html#chandezon-crossed)

**Cited on**: [About MC Grating Software](https://mcgrating.com/about.html) · [The C method (Chandezon)](https://mcgrating.com/features/c-method.html) · [Publications](https://mcgrating.com/references.html)

**Bibliography**: [Reference [20]](https://mcgrating.com/references.html#ref-20)

**Full text**: [Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings](https://mcgrating.com/references/ref20.pdf) (PDF, 384 KB)

© 1998 Optica Publishing Group. This copy is hosted for the convenience of MC Grating users; the version of record is the publisher's, at the DOI above.

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