Abstract

The theory of a multiple diffraction grating is presented. It is shown that the resolving power is that of a simple grating of equivalent ruled aperture; the intensity, that of a simple grating of an equal number of ruled apertures; and the dispersion and resulting distribution of intensity with order, that of one of the elementary gratings of which it is composed. The relative intensities and the distribution of the secondary maxima arising due to the periodicity of spacing of elementary gratings are discussed. The large spectral range, the relatively high intensity and the requirement of little or no preliminary resolution are presented as advantages over interference spectroscopes of equivalent resolving power. The further advantage is presented that the time required for ruling such a grating is so reduced that gratings of two, three or more times the present effective aperture are made readily possible in the same ruling time.

© 1936 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
The Diffraction Grating at Grazing Incidence

Luis W. Alvarez
J. Opt. Soc. Am. 26(9) 343-346 (1936)

Theory of Microscope Vision*†

M. Herzberger
J. Opt. Soc. Am. 26(1) 52-62 (1936)

Multiple Diffraction in Grating Spectroscopy

William G. Fastie and William M. Sinton
J. Opt. Soc. Am. 44(2) 103-108 (1954)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (18)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription