Exact Solutions Of Eikonal Equation And Their Relation To Hamilton Characteristic Functions

J. M. Rebordao; M. Grosmann

doi:10.1117/12.935429

26 October 1983 Exact Solutions Of Eikonal Equation And Their Relation To Hamilton Characteristic Functions

J. M. Rebordao, M. Grosmann

Proceedings Volume 0399, Optical System Design, Analysis, and Production; (1983) https://doi.org/10.1117/12.935429
Event: 1983 International Technical Conference/Europe, 1983, Geneva, Switzerland

Abstract

Convergence properties of power series expansions in Seidel aberration theory can be studied from exact mathematical descriptions of wavefronts refracted by spherical surfaces. A generalization of Huygens' principle is suggested in order to study composite systems. Legendre transformation allows us to relate the solutions of eikonal equation to Hamilton characteristic functions.

Citation Download Citation

J. M. Rebordao and M. Grosmann "Exact Solutions Of Eikonal Equation And Their Relation To Hamilton Characteristic Functions", Proc. SPIE 0399, Optical System Design, Analysis, and Production, (26 October 1983); https://doi.org/10.1117/12.935429

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available