Abstract

A discussion of the elementary theory of the astigmatism of the concave grating. A spherocylindrical lens placed in front of the plate serves to produce a stigmatic image of the slit and increases the speed of the instrument by about 25×and doubles the dispersion, allowing the full theoretical resolving power to be realized.

© 1934 Optical Society of America

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References

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  1. Runge and Mannknopf, Zeits. f. Physik 45, 13 (1927).
    [Crossref]
  2. LacroÛte, Comptes rendus 194, 1803 (1932).
  3. Oldenberg, J. O. S. A. 22, 441 (1932).
    [Crossref]
  4. Back and Goudsmit, Zeits. f. Physik 47, footnote p. 179 (1928).
    [Crossref]

1932 (2)

LacroÛte, Comptes rendus 194, 1803 (1932).

Oldenberg, J. O. S. A. 22, 441 (1932).
[Crossref]

1928 (1)

Back and Goudsmit, Zeits. f. Physik 47, footnote p. 179 (1928).
[Crossref]

1927 (1)

Runge and Mannknopf, Zeits. f. Physik 45, 13 (1927).
[Crossref]

Back,

Back and Goudsmit, Zeits. f. Physik 47, footnote p. 179 (1928).
[Crossref]

Goudsmit,

Back and Goudsmit, Zeits. f. Physik 47, footnote p. 179 (1928).
[Crossref]

LacroÛte,

LacroÛte, Comptes rendus 194, 1803 (1932).

Mannknopf,

Runge and Mannknopf, Zeits. f. Physik 45, 13 (1927).
[Crossref]

Oldenberg,

Oldenberg, J. O. S. A. 22, 441 (1932).
[Crossref]

Runge,

Runge and Mannknopf, Zeits. f. Physik 45, 13 (1927).
[Crossref]

Comptes rendus (1)

LacroÛte, Comptes rendus 194, 1803 (1932).

J. O. S. A. (1)

Oldenberg, J. O. S. A. 22, 441 (1932).
[Crossref]

Zeits. f. Physik (2)

Back and Goudsmit, Zeits. f. Physik 47, footnote p. 179 (1928).
[Crossref]

Runge and Mannknopf, Zeits. f. Physik 45, 13 (1927).
[Crossref]

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Figures (5)

Fig. 1
Fig. 1

The lens bed clamped to the grating table.

Fig. 2
Fig. 2

(a) Hg 5461 II order without lens, (b) Hg 5461 II order with lens. The increase in resolving power is evident.

Fig. 3
Fig. 3

(a) Hg 4358 II order without lens, (b) Hg 4358 II order with lens. The faint satellite of the strong central component appears as a shading without the lens, but is clearly a separate line with the lens.

Fig. 4
Fig. 4

(a) Hg 4047 II order without lens, (b) Hg 4047 II order with lens. The spaces between the lines are much clearer with lens.

Fig. 5
Fig. 5

(a) Cd 3610 II order Zeeman effect at about 37,000 gauss. Without lens, (b) The same line using the lens. The improvement is obvious.

Equations (11)

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cos 2 θ s - cos θ ρ + cos 2 φ t - cos φ ρ = 0.
1 s - cos θ ρ + 1 R - cos φ ρ = 0.
sec θ - cos θ = cos φ - ρ / R
or             R = ρ / ( cos φ - sin θ tan θ ) ,
R min = ρ / ( 1 - sin θ tan θ )
( R - ρ ) h / R = h sin θ tan θ
( R - ρ cos θ ) h / R = 2 h sin 2 θ
( R - ρ cos φ ) h / R = h ( 1 - cos 2 φ + sin θ tan θ cos φ ) ,
- cos φ / ρ + 1 / t - 1 / ρ = 0             or             t = ρ / ( 1 + cos θ ) ,
- cos φ ρ + 1 R - 1 ρ = 0 ,             R = ρ 1 + cos θ
R min = ρ / ( 1 - 0.743 × 1.11 ) = 5.52 ρ ,