Review of iterative Fourier-transform algorithms for beam shaping applications

Olivier Ripoll; Ville Kettunen; Hans Peter Herzig

doi:10.1117/1.1804543

1 November 2004 Review of iterative Fourier-transform algorithms for beam shaping applications

Olivier Ripoll, Ville Kettunen, Hans Peter Herzig

Author Affiliations +

Optical Engineering, Vol. 43, Issue 11, (November 2004). https://doi.org/10.1117/1.1804543

Abstract

We present a comparison of some of the most used iterative Fourier transform algorithms (IFTA) for the design of continuous and multilevel diffractive optical elements (DOE). Our aim is to provide optical engineers with advice for choosing the most suited algorithm with respect to the task. We tackle mainly the beam-shaping and the beam-splitting problems, where the desired light distributions are almost binary. We compare four recent algorithms, together with the historical error-reduction and input-output methods. We conclude that three of these algorithms are interesting for continuous-phase kinoforms, and two, namely the three-step method proposed by Wyrowski and the over-compensation of Prongué, still perform well with multilevel- and binary-phase DOE.

©(2004) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Olivier Ripoll, Ville Kettunen, and Hans Peter Herzig "Review of iterative Fourier-transform algorithms for beam shaping applications," Optical Engineering 43(11), (1 November 2004). https://doi.org/10.1117/1.1804543

Published: 1 November 2004

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