Achieving a high mode count in the exact electromagnetic simulation of diffractive optical elements

• Verfasst von: Junker, André [VerfasserIn]
• Verfasst von: Brenner, Karl-Heinz [VerfasserIn]
• Titel: Achieving a high mode count in the exact electromagnetic simulation of diffractive optical elements
• Verf.angabe: André Junker, Karl-Heinz Brenner
• Jahr: 2018
• Umfang: 9 S.
• Fussnoten: Gesehen am 15.04.2020
• Titel Quelle: Enthalten in: Optical Society of AmericaJournal of the Optical Society of America / A
• Ort Quelle: Washington, DC : Soc., 1984
• Jahr Quelle: 2018
• Band/Heft Quelle: 35(2018), 3, Seite 377-385
• ISSN Quelle: 1520-8532
• DOI: doi:10.1364/JOSAA.35.000377
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Diffractive optical elements
• Sach-SW: Finite difference time domain
• Sach-SW: Fresnel zones
• Sach-SW: Phase contrast
• Sach-SW: Propagation methods
• Sach-SW: Wave propagation
• K10plus-PPN: 1694560163

Abstract

The application of rigorous optical simulation algorithms, both in the modal as well as in the time domain, is known to be limited to the nano-optical scale due to severe computing time and memory constraints. This is true even for today's high-performance computers. To address this problem, we develop the fast rigorous iterative method (FRIM), an algorithm based on an iterative approach, which, under certain conditions, allows solving also large-size problems approximation free. We achieve this in the case of a modal representation by avoiding the computationally complex eigenmode decomposition. Thereby, the numerical cost is reduced from O(N3) to O(N log N), enabling a simulation of structures like certain diffractive optical elements with a significantly higher mode count than presently possible. Apart from speed, another major advantage of the iterative FRIM over standard modal methods is the possibility to trade runtime against accuracy.