Abstract

The witch of Agnesi, y=ha2/(a2+x2) is of importance to physicists because it approximates the spectral energy distribution of spectral lines, particularly x-ray lines. This paper reviews the known properties of the witch such as graphical construction, parametric form of the equation and nth derivatives. New series for these derivatives are developed which are better adapted for use in correcting experimental curves by the method derived by the author. The points on the curve whose ordinates are 14,12 and 34 of the maximum have special properties which are described.

© 1940 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Syntheses of Spectral-Distribution Curves

W. L. Brewer and F. R. Holly
J. Opt. Soc. Am. 38(10) 858-874 (1948)

The Diffraction Pattern Due to an Absorbing Prism

Roy C. Spencer
J. Opt. Soc. Am. 27(9) 318-322 (1937)

Laws and Corollaries of the Black Body

Frank Benford
J. Opt. Soc. Am. 29(2) 92-96 (1939)

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 (3)

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 (28)

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