𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Domain decomposition method for Maxwell’s equations: Scattering off periodic structures

✍ Scribed by Achim Schädle; Lin Zschiedrich; Sven Burger; Roland Klose; Frank Schmidt


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
391 KB
Volume
226
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis


We present a domain decomposition approach for the computation of the electromagnetic field within periodic structures. We use a Schwarz method with transparent boundary conditions at the interfaces of the domains. Transparent boundary conditions are approximated by the perfectly matched layer method (PML). An adaptive strategy to determine optimal PML parameters is developed. Thus we can treat Wood anomalies appearing in periodic structures.

We focus on the application to typical EUV lithography line masks. Light propagation within the multilayer stack of the EUV mask is treated analytically. This results in a drastic reduction of the computational costs and allows for the simulation of next generation lithography masks on a standard personal computer.


📜 SIMILAR VOLUMES


Frequency-domain and time-domain finite-
✍ Jian-Ming Jin; Mohammad Zunoubi; Kalyan C. Donepudi; Weng C. Chew 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 950 KB

An efficient solver is described for the solution of the electromagnetic fields in both time and frequency domains. The proposed method employs the node-based and the edge-based finite-element method (FEM) to discretize Maxwell's equations. The resultant matrix equation is solved by the spectral Lan

A new interface condition in the non-ove
✍ P. Collino; G. Delbue; P. Joly; A. Piacentini 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 824 KB

The performances of the non-overlapping domain decomposition method for the time-harmonic Maxwell equations which was originally proposed by Bruno Despres are dramatically improved by means of a new transmission operator, arising from the nonreflecting boundary condition theory, and of a new iterati

The Discontinuous Galerkin Time-Domain m
✍ Michael König; Kurt Busch; Jens Niegemann 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 303 KB

The Discontinuous Galerkin method is an accurate and efficient way to numerically solve the time-dependent Maxwell equations. In this paper, we extend the basic, two-dimensional formulation for isotropic materials to allow anisotropic permittivity tensors. Using a reference system with an analytical

Iterative solution of a hybrid method fo
✍ Johan Edlund; Per Lötstedt; Bo Strand 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB

## Abstract A hybrid method for solution of Maxwell's equations of electromagnetics in the frequency domain is developed as a combination between the method of moments and the approximation in physical optics. The equations are discretized by a Galerkin method and solved by an iterative block Gauss