Aplanatic grazing incidence diffraction grating - A new optical element

Physics – Optics

Scientific paper

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Geometrical Optics, Gratings (Spectra), Grazing Incidence, Wave Diffraction, Aberration, Angular Distribution, Apertures, Differential Equations, Grazing Incidence Telescopes, Reflection, X Ray Spectroscopy

Scientific paper

The theory of a grazing incidence reflection grating capable of imaging at submicron resolution is presented. The optic is mechanically ruled on a spherical or cylindrical surface with varied groove spacings, delivering diffraction-limited response and a wide field of view at a selected wavelength. Geometrical aberrations are calculated on the basis of Fermat's principle, revealing significant improvements over a grazing incidence mirror. Aplanatic and quasi-aplanatic versions of the grating have applications in both imaging and scanning microscopes, microprobes, collimators, and telescopes. A 2-D crossed system of such gratings, similar to the grazing incidence mirror geometry of Kirkpatrick and Baez (1968), could potentially provide spatial resolutions of about 200 A.

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