Diffraction efficiency; Diffraction theory; Diffractive optical elements; Fourier optics; Modulation transfer function; Total internal reflection
Abstract :
[en] 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 wavebands 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 generated 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 time-domain method as a reference solution, demonstrate it as a valuable tool to describe and quantify the longitudinal chromatic aberration of MLDOEs.
Disciplines :
Physics
Author, co-author :
Laborde, Victor ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR)
Loicq, Jerôme ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR)
Hastanin, Juriy ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR)
Habraken, Serge ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR)
Language :
English
Title :
Hybrid ray-tracing/Fourier optics method to analyze multilayer diffractive optical elements
J. A. Sobrino, F. Del Frate, M. Drusch, J. C. Jimenez-Munoz, P. Manunta, and A. Regan, "Review of thermal infrared applications and requirements for future high-resolution sensors," IEEE Trans. Geosci. Remote Sens. 54, 2963-2972 (2016).
M. Shimoni, "Feasibility study on hyperspectral thermal-infrared sensor," in GSP Research (ESA, 2005).
SCHOTT, "Reliable solutions for the infrared industry," 2020, https://www.schott.com/advanced_optics/english/products/opticalmaterials/ ir-materials/infrared-chalcogenide-glasses/index.html.
Y. Arieli, S. Noach, S. Ozeri, and N. Eisenberg, "Design of diffractive optical elements for multiple wavelengths," Appl. Opt. 37, 6174-6177 (1998).
C.W. Sweeney and G. E. Sommargren, "Harmonic diffractive lenses," Appl. Opt. 34, 2469-2475 (1995).
D. Faklis and G. M. Morris, "Spectral properties of multiorder diffractive lenses," Appl. Opt. 34, 2462-2468 (1995).
C. Fan, Z. Wang, L. Lin, M. Zhang, and H. Fan, "Design of infrared telephoto-optical system with double layer harmonic diffractive element," Chin. Phys. Lett. 24 1973-1976 (2007).
C. Xue, Q. Cui, T. Liu, Y. Liangliang, and B. Fei, "Optimal design of multilayer diffractive optical element for dual wavebands," Opt. Lett. 35, 4157-4159 (2010).
S. Mao, Q. Cui, M. Piao, and L. Zhao, "High diffraction efficiency of three-layer diffractive optics designed for wide temperature range and large incident angle," Appl. Opt. 55, 3549-3554 (2016).
B. Zhang, Q. Cui, and M. Piao, "Effect of substrate material selection on polychromatic integral diffraction efficiency for multilayer diffractive optics in oblique incident situation," Opt. Commun. 415, 156-163 (2018).
D. A. Pommet, M. Moharam, and E. B. Grann, "Limits of scalar diffraction theory for diffractive phase elements," J. Opt. Soc. Am. 11, 1827-1834 (1994).
G. Greisukh, G. Danilov, E. Ezhov, S. Stepanov, and B. Usievich, "Comparison of electromagnetic and scalar methods for evaluation of efficiency of diffractive lenses for wide spectral bandwidth," Opt. Commun. 338, 54-57 (2015).
G. Greisukh, G. Danilov, S. Stepanov, A. Antonov, and B. Usievich, "Spectral and angular dependences of the efficiency of three-layer relief-phase diffraction elements of the IR range," Opt. Spectrosc. 125, 964-970 (2018).
G. Greisukh, G. Danilov, S. Stepanov, A. Antonov, and B. Usievich, "Minimization of the total depth of internal saw-tooth reliefs of a twolayer relief-phase diffraction microstructure," Opt. Spectrosc. 124, 98-102 (2018).
H. Yang, C. Xue, C. Li, and J. Wang, "Optimal design of multilayer diffractive optical elements with effective area method," Appl. Opt. 55, 1675-1682 (2016).
C. Yang, H. Yang, C. Li, and C. Xue, "Optimization and analysis of infrared multilayer diffractive optical elements with finite feature sizes," Appl. Opt. 58, 2589-2595 (2019).
F. Wyrowski and M. Kuhn, "Introduction to field tracing," J. Mod. Opt. 58, 449-466 (2010).
H. Sauer, P. Chavel, and G. Erdei, "Diffractive optical elements in hybrid lenses: modeling and design by zone decomposition," Appl. Opt. 38, 6482-6486 (1999).
A. Nemes-Czopf, D. Bercsényi, and G. Erdei, "Simulation of relieftype diffractive lenses in ZEMAX using parametric modelling and scalar diffraction," Appl. Opt. 58, 8931-8942 (2019).
V. Laborde, J. Loicq, and S. Habraken, "Modeling infrared behavior of multilayer diffractive optical elements using Fourier optics," Appl. Opt. 60, 2037-2045 (2021).
J. W. Goodman, "The angular spectrum of plane waves," in Introduction to Fourier Optics (McGraw-Hill, 1996), Chap. 3.
K. Matsushima and T. Shimobaba, "Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields," Opt. Express 17, 1967-19662 (2009).
B. R. Org, "ASAP NextGen," 2022, https://breault.com/asap/.
