T. Arens, K. Sandfort, S. Schmitt and A. Lechleiter, Analysing Ewald's Method for the Evaluation of Green's Functions for Periodic Media, IMA J. Appl. Math.78, 405-431 (2013), doi: 10.1093/imamat/hxr057.
T. Arens, D. Gintides und A. Lechleiter, Direct and Inverse Medium Scattering in a Three-Dimensional Homogeneous Planar Waveguide, SIAM J. Appl. Math.71, 753-772 (2011), doi: 10.1137/100806333
T. Arens, A. Lechleiter and R.L. Luke, MUSIC for Extended Scatterers as an Instance of the Factorization Method, SIAM J. Appl. Math.70, 1283-1304 (2009).
T. Arens and A. Lechleiter, The Linear Sampling Method Revisited, J. Int. Equ. Appl.21, 179-202 (2009).
T. Arens, D. Gintides and A. Lechleiter, Variational Formulations for Scattering in a 3-Dimensional Acoustic Waveguide, Math. Meth. Appl. Sci.31, 821-847 (2008).
T. Arens, S.N. Chandler-Wilde and J.A. DeSanto, On integral equation and least squares methods for scattering by diffraction gratings, Communications in Computational Physics1, 1010-1042 (2006).
T. Arens and T. Hohage , On radiation conditions for rough surface scattering problems, IMA J. Appl. Math70, 839-847 (2005).
T. Arens and N. Grinberg , A complete Factorization Method for scattering by periodic surfaces, Computing75, 111-132 (2005).
T. Arens, Why Linear Sampling works! Inverse Problems20, 163-173 (2004).
D. Natroshvili, T. Arens and S.N. Chandler-Wilde, Uniqueness, existence and integral equation formulations for interface scattering problems, Memoirs on Differential Equations and Mathematical Physics30, Georgian Academy of Sciences, 105-146 (2003).
T. Arens and A. Kirsch, The factorization method in inverse scattering from periodic structures, Inverse Problems19, 1195-1211 (2003).
T. Arens, S.N. Chandler-Wilde and K. Haseloh, Solvability and spectral properties of integral equations on the real line: II. $L^p$ spaces and applications, J. Int. Equ. Appl.15, 1-35 (2003).
T. Arens, An approximation property of elastic Herglotz wave functions and its application in the Linear Sampling method, Journal of Ill-Posed and Inverse Problems11, 219-233 (2003).
T. Arens, S.N. Chandler-Wilde and K. Haseloh, Solvability and spectral properties of integral equations on the real line: I. Weighted spaces of continuous functions, J. Math. Anal. Appl.272, 276-302 (2002).
T. Arens, Existence of solution in elastic wave scattering by unbounded rough surfaces, Math. Meth. Appl. Sci.25, 507-528 (2002).
T. Arens, Uniqueness for elastic wave scattering by rough surfaces, SIAM J. Math. Anal.33, 461-476 (2001).
T. Arens, Linear sampling methods for 2D inverse elastic wave scattering, Inverse Problems17, 1445--1464 (2001).
A. Meier, T. Arens, S.N. Chandler-Wilde and A. Kirsch, A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces, J. Int Equ. Appl.12, 281-321 (2000).
T. Arens, The scattering of plane elastic waves by a one-dimensional periodic surface, Math. Meth. Appl. Sci.22, 55--72 (1999).
T. Arens, A new integral equation formulation for the scattering of plane elastic waves by diffraction gratings, J. Int. Equ. Appl.11, 275-297 (1999).