Share Email Print

Proceedings Paper

The Eikonal function: the common concept in ray optics and particle mechanics
Author(s): Martin Krautter
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

The habit of teaching the movements of masses first, and propagation of light later, as an electromagnetic phenomenon was widespread. Looking further back into the history of physics, however, we see earlier the concepts for understanding light rays, and later their successful application to particle trajectories, leading to the highly developed celestial mechanics towards the end of the 19th century. And then, 1905, Karl Schwarzschild transferred the technique of `canonical coordinates,' named so by C.G.J. Jacobi in 1837, back to light rays in imaging systems. I would like to point to the chief steps in the evolution. The learning process for handling both particle and wave propagation aspects continues up to our time: Richard Feynman 1918 - 1988. We may judge each contribution: whether it opens our mind to a unifying theory, or whether it hardens partial understanding. And we can notice where the understanding of light propagation led the evolution, and how the theory for movement of masses caught up.

Paper Details

Date Published: 15 April 1993
PDF: 10 pages
Proc. SPIE 1780, Lens and Optical Systems Design, 17800W (15 April 1993); doi: 10.1117/12.142826
Show Author Affiliations
Martin Krautter, StraBE GmbH (Germany)

Published in SPIE Proceedings Vol. 1780:
Lens and Optical Systems Design
Hannfried Zuegge, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?