Ray tracing through arbitrary DOE based on Fermat's principle

Liping Zhao; Minxian Wu; Guofan Jin; Weizhen Yan

doi:10.1117/12.284066

25 September 1997 Ray tracing through arbitrary DOE based on Fermat's principle

Liping Zhao, Minxian Wu, Guofan Jin, Weizhen Yan

Proceedings Volume 3130, Lens Design, Illumination, and Optomechanical Modeling; (1997) https://doi.org/10.1117/12.284066
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

Based on Fermat’s Principle, a set of formulae for ray tracing through diffractive optical elements is derived in this paper. These formulae do not involve the calculation of local fringe spacing and direction, and take a simple, Snell’s-Law-like form. Yet they are completely general, and can be applied to diffractive optical elements with arbitrary continuous phase function formed on substrates of arbitrary shape. Then the concept of the extended Snell’s law, which is applicable to any kind of surfaces, is presented, and so make it easy to improve the traditional optical program into a hybrid one with the ability to design and analyze diffractive and hybrid elements. Some testing experiments have been made by using a diffractive optical lens with large astigmatism. The computational results are compared with experimental data, and the correctness of the formulae is verified.

Citation Download Citation

Liping Zhao, Minxian Wu, Guofan Jin, and Weizhen Yan "Ray tracing through arbitrary DOE based on Fermat's principle", Proc. SPIE 3130, Lens Design, Illumination, and Optomechanical Modeling, (25 September 1997); https://doi.org/10.1117/12.284066

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