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Adaptive sampling strategies for efficient parameter scans in nano-photonic device simulations

Please always quote using this URN: urn:nbn:de:0297-zib-50395
  • Rigorous optical simulations are an important tool in optimizing scattering properties of nano-photonic devices and are used, for example, in solar cell optimization. The finite element method (FEM) yields rigorous, time-harmonic, high accuracy solutions of the full 3D vectorial Maxwell's equations [1] and furthermore allows for great flexibility and accuracy in the geometrical modeling of these often complex shaped 3D nano-structures. A major drawback of frequency domain methods is the limitation of single frequency evaluations. For example the accurate computation of the short circuit current density of an amorphous silicon / micro-crystalline multi-junction thin film solar cell may require the solution of Maxwell's equations for over a hundred different wavelengths if an equidistant sampling strategy is employed. Also in optical metrology, wavelength scans are frequently used to reconstruct unknown geometrical and material properties of optical systems numerically from measured scatterometric data. In our contribution we present several adaptive numerical integration and sampling routines and study their efficiency in the context of the determination of generation rate profiles of solar cells. We show that these strategies lead to a reduction in the computational effort without loss of accuracy. We discuss the employment of tangential information in a Hermite interpolation scheme to achieve similar accuracy on coarser grids. We explore the usability of these strategies for scatterometry and solar cell simulations.

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Author:Martin Hammerschmidt, Jan Pomplun, Sven BurgerORCiD, Frank Schmidt
Document Type:ZIB-Report
Tag:adaptive sampling; finite element method; optical metrology; optical simulations; parameter scans; solar cells
MSC-Classification:65-XX NUMERICAL ANALYSIS
PACS-Classification:40.00.00 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
Date of first Publication:2014/03/06
Series (Serial Number):ZIB-Report (14-20)
ISSN:1438-0064
Published in:Appeared in Proceedings of the SPIE Volume 8980
DOI:https://doi.org/10.1117/12.2036363
Licence (German):License LogoCreative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung
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