Paper
10 September 2007 Efficient modeling of nonlinear wave propagation and radiation dynamics in nano-photonic systems
Michael König, Jens Niegemann, Martin Pototschnig, Lasha Tkeshelashvili, Kurt Busch
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Abstract
We introduce an efficient Krylov-subspace based operator-exponential approach for solving the Maxwell equations. This solver exhibits excellent stability properties and high-order time-stepping capabilities. The usage of a non-uniform spatial grid facilitates the realization of a high-order spatial discretization in the presence of discontinuous material properties. This ideally complements the time-stepping capabilities of our solver so that many nonlinear wave propagation phenomena and/or coupled system dynamics in complex nano-photonic problems may be treated with high accuracy and efficiency.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael König, Jens Niegemann, Martin Pototschnig, Lasha Tkeshelashvili, and Kurt Busch "Efficient modeling of nonlinear wave propagation and radiation dynamics in nano-photonic systems", Proc. SPIE 6775, Active and Passive Optical Components for Communications VII, 67750D (10 September 2007); https://doi.org/10.1117/12.752700
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KEYWORDS
Maxwell's equations

Complex systems

Finite-difference time-domain method

Wave propagation

Nanophotonics

Differential equations

Interfaces

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