# Modal representation and normalized scaling rules for ultra narrow-band reflection from a 1D binary corrugation

Kämpfe 2012: A conference summary: a high-contrast subwavelength binary corrugation on a low-index substrate can reflect an arbitrarily narrow band under…

Canonical: https://mcgrating.com/publications/kampfe-2012-modal-representation-ultra-narrow-band-reflection.html


Thomas Kämpfe, Alexander V. Tishchenko, Olivier Parriaux

Thomas Kämpfe, Alexander V. Tishchenko and Olivier Parriaux, “Modal representation and normalized scaling rules for ultra narrow-band reflection from a 1D binary corrugation”, 8th EOS Topical Meeting on Diffractive Optics, Delft (2012).

A conference summary: a high-contrast subwavelength binary corrugation on a low-index substrate can reflect an arbitrarily narrow band under normal incidence. The conditions are given in terms of the resonances and interference of two grating modes, with normalised analytical expressions that enumerate every structure showing the effect. The Modes Interference feature of Modal Collinear is the numerical counterpart of this two-mode picture.

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

**Cited on**: [Modes interference in high-contrast gratings](https://mcgrating.com/modes-interference.html)

**Bibliography**: [Modes-interference reference [4]](https://mcgrating.com/modes-interference.html#mi-ref-4)

**Full text**: [Modal representation and normalized scaling rules for ultra narrow-band reflection from a 1D binary corrugation](https://mcgrating.com/files/modesint/ref04.pdf) (PDF, 264 KB)

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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.
