Geometrical invariance property of gratings

Physics – Optics

Scientific paper

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Fermat Principle, Geometrical Optics, Gratings (Spectra), Invariance, Wave Diffraction, Grooves, Mounting, Surface Geometry

Scientific paper

In conical diffraction mountings, the direction of a given order diffracted by a grating when the grating is rotated about a suitable direction is shown to be invariant. This invariance property is very general and is characteristic of any groove shape, any diffracted order (positive or negative), and any mounting; it even applies to crossed gratings. A general geometrical explanation of this result in terms of Fermat's principle is presented which is valid for any reflecting surface.

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