ABCD matrix for calculating third-order aberrations of gradient index optical elements

Francisco Sorroche; José A. Díaz; José Fernández-Dorado; Josep Arasa

doi:10.1117/12.868444

9 September 2010 ABCD matrix for calculating third-order aberrations of gradient index optical elements

Francisco Sorroche, José A. Díaz, José Fernández-Dorado, Josep Arasa

Proceedings Volume 7652, International Optical Design Conference 2010; 76522X (2010) https://doi.org/10.1117/12.868444
Event: International Optical Design Conference 2010, 2010, Jackson Hole, WY, United States

Abstract

Third-order aberrations need the paraxial raytracing of a marginal as well as principal ray through the entire system to be determined. When the optical system has GRIN media, even the paraxial raytrace could be cumbersome. This work presents the use of the ABCD matrix for obtaining the raytracing of those rays and, thus, it could ease the calculation of the third-order aberration coefficients, i.e. contribution of GRIN to surface refraction and transfer, for each individual surface of GRIN optical elements. A procedure to be implemented in any modern commercial optical software has been presented and evaluated for simple systems.

Citation Download Citation

Francisco Sorroche, José A. Díaz, José Fernández-Dorado, and Josep Arasa "ABCD matrix for calculating third-order aberrations of gradient index optical elements", Proc. SPIE 7652, International Optical Design Conference 2010, 76522X (9 September 2010); https://doi.org/10.1117/12.868444

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