Abstract

The general conditions for the production of stigmatic images with concave or plane gratings are derived. Several practical methods of realizing these conditions have been devised using a cylindrical lens with plane mirrors, or a concave mirror alone, between the slit and the grating.

© 1935 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Runge and Mannkopff, Zeits. f. Physik 45, 13 (1927).
    [CrossRef]
  2. Oldenberg, J.O.S.A. 22, 441 (1932).
    [CrossRef]
  3. Kayser, Handbuch der Spectroscopie, Vol. I, p. 456.
  4. Monk, J.O.S.A. 17, 358 (1928).
    [CrossRef]

1932 (1)

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

1928 (1)

Monk, J.O.S.A. 17, 358 (1928).
[CrossRef]

1927 (1)

Runge and Mannkopff, Zeits. f. Physik 45, 13 (1927).
[CrossRef]

Kayser,

Kayser, Handbuch der Spectroscopie, Vol. I, p. 456.

Mannkopff,

Runge and Mannkopff, Zeits. f. Physik 45, 13 (1927).
[CrossRef]

Monk,

Monk, J.O.S.A. 17, 358 (1928).
[CrossRef]

Oldenberg,

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

Runge,

Runge and Mannkopff, Zeits. f. Physik 45, 13 (1927).
[CrossRef]

J.O.S.A. (2)

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

Monk, J.O.S.A. 17, 358 (1928).
[CrossRef]

Zeits. f. Physik (1)

Runge and Mannkopff, Zeits. f. Physik 45, 13 (1927).
[CrossRef]

Other (1)

Kayser, Handbuch der Spectroscopie, Vol. I, p. 456.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

F. 1
F. 1

Single plane mirror mounting.

F. 2
F. 2

Double plane mirror mounting. The size of the carriage has been greatly exaggerated to bring out the details.

F. 3
F. 3

Diagram showing the position of the vertical and horizontal foci of a concave mirror where the angle between the incident ray and the normal is (a) less than 45° and (b) greater than 45°.

F. 4
F. 4

Arrangement of a concave mirror to produce stigmatic images on the normal of a concave grating.

F. 5
F. 5

Plane grating mounting with single concave mirror.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

( cos 2 θ r 1 cos θ ρ ) + ( cos 2 θ r 1 cos θ ρ ) = 0
( 1 r 2 cos θ ρ ) + ( 1 r 2 cos θ ρ ) = 0.
cos 2 θ / r 1 = 1 / r 2 or r 1 / r 2 = cos 2 θ ,
cos 2 θ / r 1 = 1 / r 2 or r 1 / r 2 = cos 2 θ ,