Since 2019, Matheon's application-oriented mathematical research activities are being continued in the framework of the Cluster of Excellence MATH+
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Klaus Jäger, Grit Köppel, Martin Hammerschmidt, Sven Burger, and Christiane Becker.
On accurate simulations of thin-film solar cells with a thick glass superstrate.Opt. Express,
26(2):A99-A107, 2018.
Niels Gregersen, Jakob Rosenkrantz de Lasson, Lars Hagedorn Frandsen, Philipp Gutsche, Sven Burger, Oleksiy S. Kim, Olav Breinbjerg, Aliaksandra Ivinskaya, Fengwen Wang, Ole Sigmund, Teppo Häyrynen, Andrei V. Lavrinenko.
Benchmarking state-of-the-art numerical simulation techniques for analyzing large photonic crystal membrane line defect cavities.Proc. SPIE,
10672:106721C, 2018.
Klaus Jäger, Phillip Manley, Duote Chen, Philipp Tockhorn, David Eisenhauer, Grit Köppel, Martin Hammerschmidt, Sven Burger, Steve Albrecht, Christiane Becker.
Antireflective nanotextures for monolithic perovskite-silicon tandem solar cells.Proc. SPIE,
10688:106880A, 2018.
Jakob Rosenkrantz de Lasson, Lars Hagedorn Frandsen, Philipp Gutsche, Sven Burger, Oleksiy S. Kim, Olav Breinbjerg, Aliaksandra Ivinskaya, Fengwen Wang, Ole Sigmund, Teppo Häyrynen, Andrei V. Lavrinenko, Jesper Mørk, and Niels Gregersen.
Benchmarking five numerical simulation techniques for computing resonance wavelengths and quality factors in photonic crystal membrane line defect cavities.Opt. Express,
26:11366-11392, 2018.
Franz J. F. Löchner, Anna N. Fedotova, Sheng Liu, Gordon A. Keeler, Gregory M. Peake, Sina Saravi, Maxim R. Shcherbakov, Sven Burger, Andrey A. Fedyanin, Igal Brener, Thomas Pertsch, Frank Setzpfandt, and Isabelle Staude.
Polarization-Dependent Second Harmonic Diffraction from Resonant GaAs Metasurfaces.ACS Photonics,
5(5):1786-1793, 2018.
Lin Zschiedrich, Felix Binkowski, Niko Nikolay, Oliver Benson, Günter Kewes, and Sven Burger.
Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators.Phys. Rev. A,
98:043806, 2018.
Günter Kewes, Felix Binkowski, Sven Burger, Lin Zschiedrich, and Oliver Benson.
Heuristic Modeling of Strong Coupling in Plasmonic Resonators.ACS Photonics,
5(10):4089-4097, 2018.
L. Adam, M. Hintermüller, and T. M. Surowiec.
A PDE-constrained optimization approach for topology optimization of strained photonic devices.WIAS preprint,
2377:1-29, 2017.
S. Pickartz, U. Bandelow, and S. Amiranashvili.
Asymptotically stable compensation of the soliton self-frequency shift.Opt. Lett.,
42(7):1416–1419, 2017.
Klaus Jäger, Grit Köppel, David Eisenhauer, Duote Chen, Martin Hammerschmidt, Sven Burger, and Christiane Becker.
Optical simulations of advanced light management for liquid-phase crystallized silicon thin-film solar cells.Proc. SPIE,
10356:103560F, 2017.
Carlo Barth, Sebastian Roder, Daniel Brodoceanu, Tobias Kraus, Martin Hammerschmidt, Sven Burger, and Christiane Becker.
Increased fluorescence of PbS quantum dots in photonic crystals by excitation enhancement.Appl. Phys. Lett.,
111(3):031111, 2017.
Martin Hammerschmidt, Sandra Döpking, Sven Burger and Sebastian Matera.
Field Heterogeneities and their Impact on Photocatalysis: Combining optical and kinetic Monte Carlo Simulations on the Nanoscale.ZIB-Report:17-20, 2017.
D. Peschka, N. Rotundo, and M. Thomas.
Towards doping optimization of semiconductor lasers.Journal of Computational and Theoretical Transport. 24th International Conference on Transport Theory,
45(5):410-423, 2016.
D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, M. Virgilio, S. Guha, T. Schroeder, G. Capellini, and T. Koprucki.
Robustness analysis of a device concept for edge-emitting lasers based on strained germanium.Optical and Quantum Electronics,
48(156):1-7, 2016.
A. Ankiewicz, D. J. Kedziora, A. Chowdury, U. Bandelow, and N. Akhmediev.
Infinite hierarchy of nonlinear Schrödinger equations and their solutions.Phys. Rev. E,
103(1):012206, 2016.
S. S. Ahmad and V. Mehrmann.
Backward errors and pseudospectra for structured nonlinear eigenvalue problems.Operators and Matrices,
10(3):539–556, 2016.
C. Conrads, V. Mehrmann, and A. Miedlar.
A panorama of mathematics: pure and applied. Adaptive numerical solution of eigenvalue problems arising from finite element models. AMLS vs. AFEM.Amer. Math. Soc., Providence, RI: 197– 225, 2016.
S. Giani, L. Grubišic ́, A. Miedlar, and J. S. Ovall.
Robust error estimates for approximations of non-self-adjoint eigenvalue problems.Numer. Math.,
133(3):471–495, 2016.
T.-M. Huang, W.-W. Lin, and V. Mehrmann.
A Newton-type method with non-equivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling.SIAM J. Sci. Comput.,
38(2):B191– B218, 2016.
S. Pickartz, U. Bandelow, and S. Amiranashvili.
Adiabatic theory of solitons fed by dispersive waves.Phys. Rev. A,
94(3):033811, 2016.
Philipp Gutsche, Raquel Mäusle, and Sven Burger.
Locally Enhanced and Tunable Optical Chirality in Helical Metamaterials.Photonics,
3(4):60, 2016.
Lisa V. Poulikakos, Philipp Gutsche, Kevin M. McPeak, Sven Burger, Jens Niegemann, Christian Hafner, and David J. Norris.
Optical Chirality Flux as a Useful Far-Field Probe of Chiral Near Fields.ACS Photonics,
3(9):1619–1625, 2016.
Martin Hammerschmidt.
Optical simulation of complex nanostructured solar cells with a reduced basis method.Dissertation, 2016.
Carlo Barth, Sven Burger, and Christiane Becker.
Symmetry-dependency of anticrossing phenomena in slab-type photonic crystals.Opt. Express,
24(10):10931-10938, 2016.
Klaus Jäger, Grit Köppel, Carlo Barth, Martin Hammerschmidt, Sven Herrmann, Sven Burger, Frank Schmidt, and Christiane Becker.
Sinusoidal gratings for optimized light management in c-Si thin-film solar cells.Proc. SPIE,
9898:989808, 2016.
Carlo Barth, Jürgen Probst, Sven Herrmann, Martin Hammerschmidt, and Christiane Becker.
Numerical characterization of symmetry properties for photonic crystals with hexagonal lattice.Proc. SPIE,
9885:988506, 2016.
Klaus Jäger, Carlo Barth, Martin Hammerschmidt, Sven Herrmann, Sven Burger, Frank Schmidt, and Christiane Becker.
Simulations of sinusoidal nanotextures for coupling light into c-Si thin-film solar cells.Opt. Express,
24(6):A569-A580, 2016.
Martin Hammerschmidt, Sven Herrmann, Sven Burger, Jan Pomplun, and Frank Schmidt.
Reduced basis method for the electromagnetic scattering problem: a case study for FinFETs.Opt Quant Electron,
48(4):250, 2016.
Martin Hammerschmidt, Carlo Barth, Jan Pomplun, Sven Burger, Christiane Becker, and Frank Schmidt.
Reconstruction of photonic crystal geometries using a reduced basis method for nonlinear outputs.Proc. SPIE,
9756:97561R, 2016.
Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Sven Burger and Frank Schmidt.
Model order reduction for the time-harmonic Maxwell equation applied to complex nanostructures.Proc. SPIE,
9742:97420M, 2016.
M. Hintermüller, T. Surowiec, and A. Kämmler.
Generalized Nash equilibrium problems in Banach spaces: Theory, Nikaido-Isoda-based path-following methods, and applications.SIAM Journal on Optimization,
25(3):1826–1856, 2015.
D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, K. Gärtner, M. Virgilio, S. Guha, T. Schroeder, G. Capellini, and T. Koprucki.
Modeling of edge-emitting lasers based on tensile strained germanium microstrips.Photonics Journal, IEEE,
7(3):1-15, 2015.
S. Amiranashvili.
Hamiltonian Framework for Short Optical Pulses. New Approaches to Nonlinear Waves (edited by E. Tobish).Springer: 153-196, 2015.
V. R. Kostic, A. Miedlar, and J. J. Stolwijk.
On matrix nearness problems: Distance to delocalization.SIAM J. Matrix Anal. Appl.,
36(2):435–460, 2015.
S. Amiranashvili, U. Bandelow, and N. Akhmediev.
Spectral properties of limiting solitons in optical fibers.Opt. Express,
22(24):30251–30256, 2014.
A. V. Lavrinenko, J. Laegsgaard, N. Gregersen, F. Schmidt, and T. Soendergaard.
Numerical Methods in Photonics.CRC Press: 362 p., 2014.
