WIAS Preprint List: Rathsfeld, Andreas
- 3081: Rathsfeld, Andreas
Convergence of the method of rigorous coupled-wave analysis for the diffraction by two-dimensional periodic surface structures
- 2989: Rathsfeld, Andreas
Simulating rough surfaces by periodic and biperiodic gratings
- 2866: Yu, Xiuchen; Hu, Guanghui; Lu, Wangtao; Rathsfeld, Andreas
PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface
Appeared in: SIAM J. Numer. Anal., 60 (2022), pp. 2592--2625, DOI 10.1137/21M1439705 . - 2726: Hu, Guanghui; Rathsfeld, Andreas
Radiation conditions for the Helmholtz equation in a half plane filled by inhomogeneous periodic material
Appeared in: J. Differential Equations, 388 (2024), pp. 215--252, DOI 10.1016/j.jde.2024.01.008 . - 2669: Rathsfeld, Andreas
On a half-space radiation condition
- 2564: Klesse, Wolfgang Matthias; Rathsfeld, Andreas; Groß, Claudine; Malguth, Enno; Skibitzki, Oliver; Zealouk, Lahbib
Fast scatterometric measurement of periodic surface structures in plasma-etching processes
Appeared in: Measurement, 170 (2021), pp. 108721/1--108721/12, DOI 10.1016/j.measurement.2020.108721 . - 2522: Hu, Guanghui; Rathsfeld, Andreas
Acoustic scattering from locally perturbed periodic surfaces
Appeared in: SIAM J. Appl. Math., 81 (2021), pp. 2569--2595, DOI 10.1137/19M1301679, authors: G. Hu, A. Rathsfeld, W. Lu, new title “Time-harmonic acoustic scattering from locally-perturbed periodic curves”. - 2502: Brée, Carsten; Gailevičius, Darius; Purlys, Vytautas; Werner, Guillermo Garre; Staliunas, Kestutis; Rathsfeld, Andreas; Schmidt, Gunther; Radziunas, Mindaugas
Chirped photonic crystal for spatially filtered optical feedback to a broad-area laser
Appeared in: J. Opt., 20 (2018), published online on 28.08.2018, DOI 10.1088/2040-8986/aada98 . - 2002: Hu, Guanghui; Rathsfeld, Andreas; Yin, Tao
Finite element method to fluid-solid interaction problems with unbounded periodic interfaces
Appeared in: Numer. Methods Partial Differential Equations, 32 (2016) pp. 5--35. - 1744: Hu, Guanghui; Rathsfeld, Andreas
Convergence analysis of the FEM coupled with Fourier-mode expansion for the electromagnetic scattering by biperiodic structures
Appeared in: Electron. Trans. Numer. Anal., 41 (2014) pp. 350--375. - 1725: Arnold, Thomas; Rathsfeld, Andreas
Reflection of plane waves by rough surfaces in the sense of Born approximation
Appeared in: Math. Methods Appl. Sci., 37 (2014) pp. 2091--2111. - 1711: Gross, Hermann; Henn, Mark-Alexander; Heidenreich, Sebastian; Rathsfeld, Andreas; Bär, Markus
Modeling of line roughness and its impact on the diffraction intensities and the reconstructed critical dimensions in scatterometry
Appeared in: Appl. Optics, 51 (2012) pp. 7384--7394. - 1694: Hu, Guanghui; Rathsfeld, Andreas
Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings
Appeared in: IMA J. Appl. Math., 80 (2015) pp. 508--532. - 1640: Rathsfeld, Andreas
Shape derivatives for the scattering by biperiodic gratings
Appeared in: Appl. Numer. Math., 72 (2013) pp. 19--32. - 1479: Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
Comparison of numerical methods for the reconstruction of elastic obstacles from the far-field data of scattered acoustic waves
Appeared in: Mem. Differential Equations Math. Phys., 53 (2011) 63--97 under the new title "Reconstruction of elastic obstacles from the far-field data of scattered acoustic waves" - 1411: Gross, Hermann; Rathsfeld, Andreas; Scholze, Frank; Bär, Markus
Profile reconstruction in EUV scatterometry: Modeling and uncertainty estimates
Appeared in: Meas. Sci. Technol., 20 (2009) pp. 105102 (11 pp). - 1365: Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
An optimisation method in inverse acoustic scattering by an elastic obstacle
Appeared in: SIAM J. Appl. Math., 70 (2009) pp. 168--187. - 1210: Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
An inverse problem for fluid-solid interaction
Appeared in: Inverse Probl. Imaging, 2 (2008) pp. 83--120. - 1164: Gross, Hermann; Rathsfeld, Andreas
Sensitivity analysis for indirect measurement in scatterometry and the reconstruction of periodic grating structures
Appeared in: Waves Random Complex Media, 18 (2008) pp. 129--149. - 1099: Gross, Hermann; Model, Regine; Bär, Markus; Wurm, Matthias; Bodermann, Bernd; Rathsfeld, Andreas
Mathematical modelling of indirect measurements in periodic diffractive optics and scatterometry
Appeared in: Measurement, 39 (2006) pp. 782--794. - 1090: Rathsfeld, Andreas; Schmidt, Gunther; Kleemann, Bernd H.
On a fast integral equation method for diffraction gratings
Appeared in: Commun. Comput. Phys., 1 (2006) pp. 984-1009. - 785: Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
Grating profile reconstruction based on finite elements and optimization techniques
Appeared in: SIAM J. Appl. Math. 64 (2003), pp.525-545 - 715: Mastroianni, Giuseppe; Frammartino, Carmelina; Rathsfeld, Andreas
On polynomial collocation for second kind integral equations with fixed singularities of Mellin type
Appeared in: Numer. Math. 94, 2003, pp. 333-365 - 667: Rathsfeld, Andreas
A quadrature algorithm for wavelet Galerkin methods
- 625: Junghanns, Peter; Rathsfeld, Andreas
On polynomial collocation for Cauchy singular integral equations with fixed singularities
Appeared in: Integral Equations and Operator Theory 43, 2002, pp. 155-176 - 512: Rathsfeld, Andreas
Quadrature methods for 2D and 3D problems
Appeared in: J. Comput. Appl. Math., 125(2000), pp.439-460 - 434: Ehrich, Sven; Rathsfeld, Andreas
Piecewise Linear Wavelet Collocation on Triangular Grids, Approximation of the Boundary Manifold and Quadrature
Appeared in: Electronic Transaction on Numerical Analysis 12, 2001, pp. 149-192 - 369: Rathsfeld, Andreas
Edge Asymptotics for the Radiosity Equation over Polyhedral Boundaries
Appeared in: Math. Meth. Appl. Sci., 22 (1999), No. 3, pp. 217-241. - 307: Rathsfeld, Andreas
On the Stability of Piecewise Linear Wavelet Collocation and the Solution of the Double Layer Equation over Polygonal Curves
Appeared in: Comput. Eng., 1, ed. M. Goldberg, WIT Press/Comput. Mech. Publ., Boston, MA, 1999 - 267: Rathsfeld, Andreas
A Wavelet Algorithm for the Solution of a Singular Integral Equation over a Smooth Two-dimensional Manifold
Appeared in: J. Integral Equations Appl., 10 (1998), No. 4, pp. 445-501 - 230: Kleemann, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold
Multiscale Methods for Boundary Integral Equations and their Application to Boundary Value Problems in Scattering Theory and Geodesy
Appeared in: Notes on Numerical Fluid Mechanics Vol. 54, Proceedings of the 12th GAMM-Seminar Kiel on Boundary Elements: Implementation and Analysis of Advanced Algorithms, eds.: W.Hackbusch, G. Wittum, Vieweg-Verlag, Braunschweig, Wiesbaden, 1996 - 225: Rathsfeld, Andreas
A Wavelet Algorithm for the Boundary Element Solution of a Geodetic Boundary Value Problem
Appeared in: Comput. Methods Appl. Mech. Engrg. 157 (1998) pp. 267-287 - 125: Rathsfeld, Andreas
Error estimates and extrapolation for the numerical solution of Mellin convolution equations
Appeared in: IMA J. Numer. Anal. 16 (1996) pp. 217--255 - 106: Rathsfeld, Andreas
A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries
Appeared in: J. Integral Equations Appl. 7 (1995) pp. 47--98 - 36: Kleemann, Bernd; Rathsfeld, Andreas
Nyström's method and iterative solvers for the solution of the double layer potential equation over polyhedral boundaries.
Appeared in: SIAM J. Numer. Anal., 32 (1995), pp. 924--951 - 8: Rathsfeld, Andreas
Piecewise polynomial collocation for the double layer potential equation over polyhedral boundaries. Part I: The wedge, Part II: The cube.
Appeared in: Boundary Value Problems and Integral Equations on Nonsmooth Domains, M. Costabel, M. Dauge , S. Nicaise, eds., vol. 167 of Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 1994, pp. 218--253
WIAS Technical Report List: Rathsfeld, Andreas
- 7: Rathsfeld, Andreas
DIPOG-2.0. User Guide. Direct Problems for Optical Gratings over Triangular Grids