The focus of this project within the DFG Cluster of Excellence MATH+ and the associated Helmholtz Excellence Network SolarMath is on simulation and optimization for optical components as key elements in the conversion of solar energy. With our project partners from Helmholtz Zentrum für Materialien und Energie Berlin (HZB) and Freie Universität Berlin we focus on renewable energy applications by joint numerical and experimental activities. The activities comprise light management in perovskite-silicon tandem solar cells and hybrid components for solar fuel generation, spectral light manipulation enabling next generation highly efficient solar energy technologies, and the development of new simulation and optimization methods for related numerical investigation. However, the research can also impact applications beyond solar energy, such as lighting and imaging in the life sciences.

Publications

2023
Crossing of the Branch Cut: The Topological Origin of a Universal 2π-Phase Retardation in Non-Hermitian Metasurfaces (Laser Photonics Rev. 17(6)/2023) Laser Photonics Rev., Vol.17, p. 2370029, 2023 Rémi Colom, Elena Mikheeva, Karim Achouri, Jesus Zuniga-Perez, Nicolas Bonod, Olivier J.F. Martin, Sven Burger, Patrice Genevet BibTeX
DOI
MATH+ AA4-6 / SolarMath
Crossing of the branch cut: the topological origin of a universal 2π-phase retardation in non-Hermitian metasurfaces Laser Photonics Rev., Vol.17, p. 2200976, 2023 Remi Colom, Elena Mikheeva, Karim Achouri, Jesus Zuniga-Perez, Nicolas Bonod, Olivier J. F. Martin, Sven Burger, Patrice Genevet BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Derivation of the Transient and Steady Optical States from the Poles of the S-Matrix Laser Photon. Rev., Vol.17, p. 2200141, 2023 Isam Ben Soltane, Rémi Colom, Brian Stout, Nicolas Bonod BibTeX
DOI
MATH+ AA4-6 / SolarMath
2022
Enhanced Purcell factor for nanoantennas supporting interfering resonances Phys. Rev. Research, Vol.4, p. 023189, 2022 Remi Colom, Felix Binkowski, Fridtjof Betz, Yuri Kivshar, Sven Burger BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Model-Chain Validation for Estimating the Energy Yield of Bifacial Perovskite/Silicon Tandem Solar Cells Sol. RRL, Vol.6, p. 2200079, 2022 Peter Tillmann, Klaus Jäger, Asher Karsenti, Lev Kreinin, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Nano-optical designs for high-efficiency monolithic perovskite–silicon tandem solar cells Nat. Nanotechnol., Vol.17, p. 1214, 2022 Philipp Tockhorn, Johannes Sutter, Alexandros Cruz, Philipp Wagner, Klaus Jäger, Danbi Yoo, Felix Lang, Max Grischek, Bor Li, Jinzhao Li, Oleksandra Shargaieva, Eva Unger, Amran Al-Ashouri, Eike Köhnen, Martin Stolterfoth, Dieter Neher, Rutger Schlatmann, Bernd Rech, Bernd Stannowski, Steve Albrecht, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Optical and Spin Properties of NV Center Ensembles in Diamond Nano-Pillars Nanomaterials, Vol.12, p. 1516, 2022 Kseniia Volkova, Julia Heupel, Sergei Trofimov, Fridtjof Betz, Rémi Colom, Rowan W. MacQueen, Sapida Akhundzada, Meike Reginka, Arno Ehresmann, Johann Peter Reithmeier, Sven Burger, Cyril Popov, Boris Naydenov BibTeX
DOI
MATH+ AA4-6 / SolarMath
Source code and simulation results for nanoantennas supporting an enhanced Purcell factor due to interfering resonances Zenodo, 2022 Remi Colom, Felix Binkowski, Fridtjof Betz, Yuri Kivshar, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath
The anisotropy of hot carriers’ spatial distribution contrasts the isotropy of photothermal effects in complex and small plasmonic nanocrystals with complex shapes The 12th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2022), S. Zouhdi (Ed.), p. 285, 2022 Artur Movsesyan, Eva Yazmin Santiago, Sven Burger, Miguel Correa-Duarte, Lucas V. Besteiro, Zhiming Wang, Alexander O. Govorov BibTeX
MATH+ AA4-6 / SolarMath
Tripling the light extraction efficiency of a deep ultraviolet LED using a nanostructured p-contact Sci. Rep., Vol.12, p. 11480, 2022 Eduardo Lopez-Fraguas, Felix Binkowski, Sven Burger, Sylvia Hagedorn, Braulio Garcia-Camara, Ricardo Vergaz, Christiane Becker, Phillip Manley BibTeX
DOI
MATH+ AA4-6 / SolarMath
2021
Axial localization and tracking of self-interference nanoparticles by lateral point spread functions Nat. Commun., Vol.12, p. 2019, 2021 Yongtao Liu, Zhiguang Zhou, Fan Wang, Günter Kewes, Shihui Wen, Sven Burger, Majid Ebrahimi Wakiani, Peng Xi, Jiong Yang, Xusan Yang, Oliver Benson, Dayong Jin BibTeX
DOI
MATH+ AA4-6 / SolarMath
Bayesian optimization with improved scalability and derivative information for efficient design of nanophotonic structures J. Light. Technol., Vol.39, p. 167, 2021 Xavier Garcia Santiago, Sven Burger, Carsten Rockstuhl, Philipp-Immanuel Schneider BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Contour integral methods for resonance phenomena in nano-optics The 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2021), S. Zouhdi, D. Pawlak, A. Kudelski (Eds.), p. 523, 2021 Felix Binkowski, Fridtjof Betz, Remi Colom, Martin Hammerschmidt, Philipp-Immanuel Schneider, Lin Zschiedrich, Sven Burger BibTeX
MATH+ AA4-6 / SolarMath
Double-layer metasurface for enhanced photon up-conversion APL Photon., Vol.6, p. 036103, 2021 Phillip Manley, Michele Segantini, Doguscan Ahiboz, Martin Hammerschmidt, Georgios Arnaoutakis, Rowan W. MacQueen, Sven Burger, Christiane Becker BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Efficient hybrid method for the modal analysis of optical microcavities and nanoresonators J. Opt. Soc. Am. A, Vol.38, p. 1224, 2021 Tong Wu, Denis Arrivault, Marc Duruflé, Alexandre Gras, Felix Binkowski, Sven Burger, Wei Yan, Philippe Lalanne BibTeX
DOI
MATH+ AA4-6 / SolarMath
Hot Electron Generation through Near-Field Excitation of Plasmonic Nanoresonators ACS Photonics, Vol.8, p. 1243, 2021 Felix Binkowski, Tong Wu, Philippe Lalanne, Sven Burger, Alexander O. Govorov BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Metasurface-Enhanced Photon Upconversion upon 1550 nm Excitation Adv. Opt. Mater., Vol.9, p. 2101285, 2021 Doguscan Ahiboz, Elina Andresen, Phillip Manley, Ute Resch-Genger, Christian Würth, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Optimizing metal grating back reflectors for III-V-on-silicon multijunction solar cells Opt. Express, Vol.29, p. 22517, 2021 Peter Tillmann, Benedikt Bläsi, Sven Burger, Martin Hammerschmidt, Oliver Höhn, Christiane Becker, Klaus Jäger BibTeX
DOI
MATH+ AA4-6 / SolarMath
Perovskite/silicon tandem solar cells: Effect of luminescent coupling and bifaciality Sol. RRL, Vol.5, p. 2000628, 2021 Klaus Jäger, Peter Tillmann, Eugene A. Katz, Christiane Becker BibTeX
arXiv
DOI
MATH+ AA4-6 / SolarMath
Prospects of light management in perovskite/silicon tandem solar cells Nanophotonics, Vol.10, p. 1991, 2021 Klaus Jäger, Johannes Sutter, Martin Hammerschmidt, Philipp-Immanuel Schneider, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
RPExpand: Software for Riesz projection expansion of resonance phenomena SoftwareX, Vol.15, p. 100763, 2021 Fridtjof Betz, Felix Binkowski, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath
RPExpand: Software for Riesz projection expansion of resonance phenomena [Source Code] 2021 Fridtjof Betz, Felix Binkowski, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath
Spectral expansions of open and dispersive optical systems: Gaussian regularization and convergence New J. Phys., Vol.23, p. 083004, 2021 Brian Stout, Remi Colom, Nicolas Bonod, Ross C McPhedran BibTeX
DOI
MATH+ AA4-6 / SolarMath
2020
A Riesz-projection-based method for nonlinear eigenvalue problems J. Comput. Phys., Vol.419, p. 109678, 2020 Felix Binkowski, Lin Zschiedrich, Sven Burger BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Detailed illumination model for bifacial solar cells Opt. Express, Vol.28, p. 4751, 2020 Klaus Jäger, Peter Tillmann, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Field Heterogeneities and Their Impact on Photocatalysis: Combining Optical and Kinetic Monte Carlo Simulations on the Nanoscale J. Phys. Chem. C, Vol.124, p. 3177, 2020 (preprint available as ) Martin Hammerschmidt, Sandra Döpking, Sven Burger, Sebastian Matera BibTeX
DOI
MATH+ AA4-6 / SolarMath
Hot electrons generated in chiral plasmonic nanocrystals as a mechanism for surface photochemistry and chiral growth J. Am. Chem. Soc., Vol.142, p. 4193, 2020 Larousse Khosravi Khorashad, Lucas V. Besteiro, Miguel Correa-Duarte, Sven Burger, Zhiming M. Wang, Alexander O. Govorov BibTeX
DOI
MATH+ AA4-6 / SolarMath
Improved Quantum Efficiency by Advanced Light Management in Nanotextured Solution-Processed Perovskite Solar Cells ACS Photonics, Vol.7, p. 2589, 2020 Philipp Tockhorn, Johannes Sutter, Rémi Colom, Lukas Kegelmann, Amran Al-Ashouri, Marcel Roß, Klaus Jäger, Thomas Unold, Sven Burger, Steve Albrecht, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Investigation and application of contour integral methods for resonance expansion in nanophotonics Master's thesis, Freie Universität Berlin, Sven Burger, Ana-Nicoleta Bondar (Advisors), 2020 Fridtjof Betz BibTeX
MATH+ AA4-6 / SolarMath
Metasurface enhanced sensitized photon upconversion: towards highly efficient low power upconversion applications and nano-scale E-field sensors Nano Lett., Vol.20, p. 6682, 2020 Christian Würth, Phillip Manley, Robert Voigt, Doguscan Ahiboz, Christiane Becker, Ute Resch-Genger BibTeX
DOI
MATH+ AA4-6 / SolarMath
Minimising levelised cost of electricity of bifacial solar panel arrays using Bayesian optimisation Sustain. Energy Fuels, Vol.4, p. 254, 2020 Peter Tillmann, Klaus Jäger, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Modal Expansion of the Impulse Response Function for Predicting the Time Dynamics of Open Optical Cavities arXiv, 2020 (under review) Rémi Colom, Brian Stout, Nicolas Bonod BibTeX
arXiv
MATH+ AA4-6 / SolarMath
Modal expansion of optical far-field quantities using quasinormal modes EPJ Web Conf., p. 05007, Vol.238, 2020 Felix Binkowski, Fridtjof Betz, Rémi Colom, Martin Hammerschmidt, Lin Zschiedrich, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath
Nanopatterned Sapphire Substrates in Deep-UV LEDs: Is there an Optical Benefit? Opt. Express, Vol.28, p. 3619, 2020 Phillip Manley, Sebastian Walde, Sylvia Hagedorn, Martin Hammerschmidt, Sven Burger, Christiane Becker BibTeX
DOI
MATH+ AA4-6 / SolarMath
Progressive Self-Boosting Anapole-Enhanced Deep-Ultraviolet Third Harmonic During Few-Cycle Laser Radiation ACS Photonics, Vol.7, p. 1655, 2020 Liping Shi, Andrey B. Evlyukhin, Carsten Reinhardt, Ihar Babushkin, Vladimir A. Zenin, Sven Burger, Radu Malureanu, Boris N. Chichkov, Uwe Morgner, Milutin Kovacev BibTeX
DOI
MATH+ AA4-6 / SolarMath
Quasi-normal mode expansion as a tool for the design of nanophotonic devices EPJ Web Conf., p. 05008, Vol.238, 2020 Rémi Colom, Felix Binkowski, Fridtjof Betz, Martin Hammerschmidt, Lin Zschiedrich, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath
Quasinormal mode expansion of optical far-field quantities Phys. Rev. B, Vol.102, p. 035432, 2020 Felix Binkowski, Fridtjof Betz, Rémi Colom, Martin Hammerschmidt, Lin Zschiedrich, Sven Burger BibTeX
arXiv
DOI
MATH+ AA4-6 / SolarMath
2019
Modal analysis for nanoplasmonics with nonlocal material properties Phys. Rev. B, Vol.100, p. 155406, 2019 Felix Binkowski, Lin Zschiedrich, Martin Hammerschmidt, Sven Burger BibTeX
DOI
arXiv
MATH+ AA4-6 / SolarMath
Numerical optimization of resonant nanophotonic devices The Seventh International School and Conference on Photonics (PHOTONICA Belgrade), Milica Matijević, Marko Krstić, Petra Beličev (Eds.), p. 10, 2019, ISBN: 978-86-7306-153-5 Felix Binkowski, Philipp-Immanuel Schneider, Martin Hammerschmidt, Lin Zschiedrich, Sven Burger BibTeX
MATH+ AA4-6 / SolarMath
Numerical optimization of resonant photonic devices Proc. SPIE, p. 1105702, Vol.11057, 2019 Martin Hammerschmidt, Lin Zschiedrich, Philipp-Immanuel Schneider, Felix Binkowski, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath
Spectral Expansion of the Scattering Response of Resonant Nanostructures EOS Topical Meeting on Diffractive Optics, Kimmo Saastamoinen (Ed.), p. 1, 2019, ISBN: 978-952-68553-8-7 Felix Binkowski, Lin Zschiedrich, Philipp-Immanuel Schneider, Martin Hammerschmidt, Xavier Garcia Santiago, Fridtjof Betz, Sven Burger BibTeX
MATH+ AA4-6 / SolarMath
Spectral resonance expansion by Riesz projections 14 th International Conference on Mathematical and Numerical Aspects of Wave Propagation Book of Abstracts, Manfred Kaltenbacher (Ed.), p. 234, 2019 Lin Zschiedrich, Felix Binkowski, Sven Burger BibTeX
DOI
MATH+ AA4-6 / SolarMath