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

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...

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Hauptverfasser: Junker, André (VerfasserIn) , Brenner, Karl-Heinz (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2018
In: Journal of the Optical Society of America. A, Optics, image science, and vision
Year: 2018, Jahrgang: 35, Heft: 3, Pages: 377-385
ISSN:1520-8532
DOI:10.1364/JOSAA.35.000377
Online-Zugang:Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1364/JOSAA.35.000377
Verlag, lizenzpflichtig, Volltext: https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-35-3-377
Volltext
Verfasserangaben:André Junker, Karl-Heinz Brenner

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520 |a 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. 
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