Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T14:56:27.174Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on the Petzval field curvature in electron-optical systems

Published online by Cambridge University Press:  24 October 2008

L. S. Goddard
L. S. Goddard
Affiliation:
St John's CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Extract

1. The Petzval field curvature produced in a compound glass optical system of axial symmetry is given by a well-known formula. If the system consists of a number of media, of refractive indices n0, n1, n2, …, having spherical faces whose radii of curvature are r0, r1, r2, …, the formula is [see for example, (1) or (2)]

and this is in common use amongst those concerned with the design of optical equipment. The analogous integral expression in the electron optical case has not, however, received the attention it deserves, in spite of the developments in electron optics during the past decade. In 1935 Glaser(3) presented the third-order error theory of an axially symmetric electron optical system.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 42 , Issue 2 , June 1946 , pp. 127 - 131
Copyright
Copyright © Cambridge Philosophical Society 1946

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Born, M.Optik (Berlin, 1933), p. 102.CrossRefGoogle Scholar
(2)Steward, G. C.The symmetrical optical system. Cambridge Mathematical Tracts, no. 25 (Cambridge, 1928), p. 64.Google Scholar
(3)Glaser, W.Z. Phys. 97 (1935), 177.CrossRefGoogle Scholar
(4)Klemperer, O. and Wright, W. D.Proc. Phys. Soc. 51 (1939), 296.CrossRefGoogle Scholar
(5)Glaser, W.Z. Phys. 117 (1941), 285.CrossRefGoogle Scholar
(6)Funk, P.Mh. Math. Phys. (Wien), 43 (1936), 305; 45 (1937), 314.CrossRefGoogle Scholar
(7)Whittaker, E. T. and Watson, G. N.Modern analysis (Cambridge, 1927).Google Scholar
(8)Siegbahn, K.Ark. Mat. Astr. Fys. 30A (1944), no. 1.Google Scholar
(9)Goddard, L. S.Proc. Cambridge Phil. Soc. 42 (1946), 106.CrossRefGoogle Scholar
(10)Goddard, L. S. and Klemperer, O.Proc. Phys. Soc. 57 (1945), 63.Google Scholar