# Highly Conducting Lamellar Diffraction Gratings

Botten 1981: A short companion note: for highly conducting gratings the complex transcendental equation of the lossy modal theory becomes hard to solve, and…

Canonical: https://mcgrating.com/publications/botten-1981-highly-conducting-lamellar-gratings.html


L.C. Botten, M.S. Craig, R.C. McPhedran

L.C. Botten, M.S. Craig and R.C. McPhedran, “Highly Conducting Lamellar Diffraction Gratings”, Optica Acta: International Journal of Optics **28**, 1103-1106 (1981). [https://doi.org/10.1080/713820701](https://doi.org/10.1080/713820701)

A short companion note: for highly conducting gratings the complex transcendental equation of the lossy modal theory becomes hard to solve, and roots are easily missed. The paper gives an improved root-finding procedure and demonstrates it on an aluminium grating.

Finding every lamellar mode reliably is the problem MC Grating's own mode-search algorithm addresses; the history of the software records that a "reliable lamellar modes searching algorithm in TMM" was one of the developments implemented in Modal Collinear.

**Implemented in**: [Modal Collinear](https://mcgrating.com/products.html#modal-collinear)

**Cited on**: [The modal method (RCWA / FMM)](https://mcgrating.com/features/modal-method.html)

**Bibliography**: [Reference [7]](https://mcgrating.com/references.html#ref-7)

**Full text**: [Highly Conducting Lamellar Diffraction Gratings](https://mcgrating.com/references/ref07.pdf) (PDF, 169 KB)

© 1981 Informa UK Limited. This copy is hosted for the convenience of MC Grating users; the version of record is the publisher's, at the DOI above.

MC Grating is Windows software that computes diffraction gratings by [the modal method](https://mcgrating.com/features/modal-method.html) and [the C method](https://mcgrating.com/features/c-method.html). [The download page](https://mcgrating.com/download.html) has the current release, which runs in demo mode without a license key.