Abstract

A symmetrical optical system consists of a series of vertex to vertex intervals separating coaxial refracting or reflecting surfaces of revolution. This paper develops two types of matrices composed of constant elements, one representing intervals and the other surfaces. These matrices are multiplied together in the same order as the corresponding intervals and surfaces occur in the optical system. The resultant product matrix expresses the paraxial, aberrational and chromatic behavior of the system.

Such a formulation may be applied mechanically by unskilled computers, and suggests a passive electrical network analogue to optical systems. The surfaces are not limited to spheres.

© 1950 Optical Society of America

Full Article  |  PDF Article
Related Articles
Hamilton’s angle characteristic in closed form for generally configured conic and toric interfaces

G. W. Forbes and Bryan D. Stone
J. Opt. Soc. Am. A 10(6) 1270-1278 (1993)

Local wave fronts at diffractive elements

Norbert Lindlein and Johannes Schwider
J. Opt. Soc. Am. A 10(12) 2563-2572 (1993)

Aberration Matrices of an Axial Bundle and an Investigation of Their Elements

Eugeniusz Jagoszewski
Appl. Opt. 5(9) 1395-1402 (1966)

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

Equations (41)

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