Hybrid ray-tracing/Fourier optics method to analyze multilayer diffractive optical elements

V. Laborde*, J.J.D. Loicq, J. Hastanin, S. Habraken

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
8 Downloads (Pure)


The performance (paraxial phase delay) of conventional diffractive optical elements is generally analyzed using the analytical scalar theory of diffraction, based on thin-element approximation (TEA). However, the high thickness of multilayer diffractive optical elements (MLDOEs) means that TEA yields inaccurate results. To address this, we tested a method based on ray-tracing simulations in mid-wave and long-wave infrared wave bands and for multiple f -numbers, together with the effect of MLDOE phase delay on a collimated on-axis beam with an angular spectrum method. Thus, we accurately generate optical figures of merit (point spread function along the optical axis, Strehl ratio at the "best"focal plane, and chromatic focal shift) and, by using a finite-difference timedomain method as a reference solution, demonstrate it as a valuable tool to describe and quantify the longitudinal chromatic aberration ofMLDOEs.

Original languageEnglish
Pages (from-to)4956-4966
Number of pages11
JournalApplied Optics
Issue number16
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Cite this