Reduced basis method for Maxwell's equations with resonance phenomena

Martin Hammerschmidt; Sven Herrmann; Jan Pomplun; Lin Zschiedrich; Sven Burger; Frank Schmidt

doi:10.1117/12.2190425

23 September 2015 Reduced basis method for Maxwell's equations with resonance phenomena

Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Lin Zschiedrich, Sven Burger, Frank Schmidt

Proceedings Volume 9630, Optical Systems Design 2015: Computational Optics; 96300R (2015) https://doi.org/10.1117/12.2190425
Event: SPIE Optical Systems Design, 2015, Jena, Germany

Abstract

Rigorous optical simulations of 3-dimensional nano-photonic structures are an important tool in the analysis and optimization of scattering properties of nano-photonic devices or parameter reconstruction. To construct geometrically accurate models of complex structured nano-photonic devices the finite element method (FEM) is ideally suited due to its flexibility in the geometrical modeling and superior convergence properties. Reduced order models such as the reduced basis method (RBM) allow to construct self-adaptive, error-controlled, very low dimensional approximations for input-output relationships which can be evaluated orders of magnitude faster than the full model. This is advantageous in applications requiring the solution of Maxwell's equations for multiple parameters or a single parameter but in real time. We present a reduced basis method for 3D Maxwell's equations based on the finite element method which allows variations of geometric as well as material and frequency parameters. We demonstrate accuracy and efficiency of the method for a light scattering problem exhibiting a resonance in the electric field.

Citation Download Citation

Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Lin Zschiedrich, Sven Burger, and Frank Schmidt "Reduced basis method for Maxwell's equations with resonance phenomena", Proc. SPIE 9630, Optical Systems Design 2015: Computational Optics, 96300R (23 September 2015); https://doi.org/10.1117/12.2190425

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available