Abstract

A proposal to use a high-angle echelle in the vacuum UV in the 350th order triggered a theoretical study to determine if there were unusual obstacles to success. No serious obstacles were found except for efficiency limitations.

© 1996 Optical Society of America

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References

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  1. E. Loewen, D. Maystre, E. Popov, L. Tsonev, “Echelles, scalar, electromagnetic, and real groove properties,” Appl. Opt. 34, 1707–1727 (1995).
    [CrossRef] [PubMed]

1995 (1)

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Figures (8)

Fig. 1.
Fig. 1.

Absolute efficiency of a 70° echelle used with a constant angle of incidence of 70° (close to the Littrow mount) on an aluminum surface. Orders as shown. Solid curve, TE polarization; dotted curve, TM polarization. (a) General view in the 120-nm spectral region; (b) scale expanded to show the order of the peaks.

Fig. 2.
Fig. 2.

Same as Fig. 1 except the blaze angle is reduced from 70° to 69.95°.

Fig. 3.
Fig. 3.

Same as Fig. 1 except the angle of incidence increases from 70° to 75°.

Fig. 4.
Fig. 4.

(a) Efficiency of the order of 350 as a function of the A.D. for the 70° Littrow mount; (b) expanded scale.

Fig. 5.
Fig. 5.

(a) Sketch showing various groove-shaped deformations labeled 3, 4, 5, and 6. (b) Enlarged version of (a) showing details of deformations 5 and 6.

Fig. 6.
Fig. 6.

Same as Fig. 3 except the profile is deformed as in profile 4 in Fig. 5.

Fig. 7.
Fig. 7.

Same as Fig. 3 except the profile is deformed as in profile 6 in Fig. 5.

Fig. 8.
Fig. 8.

Same as Fig. 3 except the profile is deformed as in profile 5 of Fig. 5.

Equations (3)

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sin   θ N = N λ d   sin   θ i ,
λ B = 2 d   sin   φ B N .
λ max = λ B   cos ( A . D . 2 ) ,

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