# Multicoated gratings: a differential formalism applicable in the entire optical region

Chandezon 1982: Extends the coordinate-transformation idea to a grating coated with any number of layers whose interfaces all follow the same profile.…

Canonical: https://mcgrating.com/publications/chandezon-1982-multicoated-gratings.html


J. Chandezon, M. T. Dupuis, G. Cornet, D. Maystre

J. Chandezon, M. T. Dupuis, G. Cornet and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region”, J. Opt. Soc. Am. **72**, 839 (1982). [https://doi.org/10.1364/josa.72.000839](https://doi.org/10.1364/josa.72.000839)

Extends the coordinate-transformation idea to a grating coated with any number of layers whose interfaces all follow the same profile. Mapping every interface onto a parallel plane at once gives a differential system with constant coefficients in each layer, so a multicoated grating costs little more than a bare one. The numerical results cover the entire optical range, including metallic substrates.

This is the "Classic" method of Chandezon Collinear and Chandezon Conical: identical corrugation at every interface. The "Extended" method, where each interface may carry its own profile, follows [Li, Granet, Plumey and Chandezon 1996](https://mcgrating.com/publications/li-1996-extending-the-c-method.html).

**Implemented in**: [Chandezon Collinear](https://mcgrating.com/products.html#chandezon-collinear), [Chandezon Conical](https://mcgrating.com/products.html#chandezon-conical)

**Cited on**: [The C method (Chandezon)](https://mcgrating.com/features/c-method.html) · [A new theoretical method for diffraction gratings and its numerical application](https://mcgrating.com/publications/chandezon-1980-new-theoretical-method.html) · [Publications](https://mcgrating.com/references.html)

**Bibliography**: [Reference [2]](https://mcgrating.com/references.html#ref-2)

**Full text**: [Multicoated gratings: a differential formalism applicable in the entire optical region](https://mcgrating.com/references/ref02.pdf) (PDF, 966 KB)

© 1982 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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