TY - CHAP A1 - Burger, Sven A1 - Binkowski, Felix A1 - Zschiedrich, Lin ED - Zhoudi, Said ED - Topa, Antonio T1 - Computing resonances in nano-photonic devices using Riesz-projection-based methods T2 - The 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2019) Y1 - 2019 SN - 2429-1390 SP - 92 ER - TY - CHAP A1 - Binkowski, Felix A1 - Zschiedrich, Lin A1 - Burger, Sven ED - Asquini, Rita T1 - Computing Optical Resonances in Plasmonic Systems Using a Contour Integral Method T2 - Photonics & Electromagnetics Research Symposium Abstracts (PIERS Rome) Y1 - 2019 SP - 1068 ER - TY - CHAP A1 - Burger, Sven A1 - Binkowski, Felix A1 - Zschiedrich, Lin ED - Asquini, Rita T1 - Finite Element Simulations of Optical Resonances in Dispersive Nanoresonators T2 - Photonics & Electromagnetics Research Symposium Abstracts (PIERS Rome) Y1 - 2019 SP - 699 ER - TY - JOUR A1 - Martens, Kevin A1 - Binkowski, Felix A1 - Nguyen, Linh A1 - Hu, Li A1 - Govorov, Alexander O. A1 - Burger, Sven A1 - Liedl, Tim T1 - Long- and Short-Ranged Chiral Interactions in DNA Assembled Plasmonic Chains JF - Nat. Commun. Y1 - 2021 U6 - https://doi.org/10.1038/s41467-021-22289-8 VL - 12 SP - 2025 ER - TY - CHAP A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Colom, Rémi A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Modal expansion of optical far-field quantities using quasinormal modes T2 - EPJ Web Conf. Y1 - 2020 U6 - https://doi.org/10.1051/epjconf/202023805007 VL - 238 SP - 05007 ER - TY - CHAP A1 - Colom, Rémi A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Quasi-normal mode expansion as a tool for the design of nanophotonic devices T2 - EPJ Web Conf. Y1 - 2020 U6 - https://doi.org/10.1051/epjconf/202023805008 VL - 238 SP - 05008 ER - TY - THES A1 - Binkowski, Felix T1 - On the convergence behavior of spectral deferred correction methods for convection-diffusion equations N2 - Spectral deferred correction (SDC) Methoden, vorgestellt von Dutt, Greengard und Rokhlin in [1], sind iterative Verfahren zur numerischen Lösung von Anfangswertproblemen für gewöhnliche Differentialgleichungen. Wenn diese Methoden konvergieren, dann wird unter Verwendung von Zeitschrittverfahren niedriger Ordnung eine Kollokationslösung berechnet. Die Lösung von steifen Anfangswertproblemen ist eine relevante Problemstellung in der numerischen Mathematik. SDC-Methoden, speziell für steife Probleme, werden von Martin Weiser in [2] konstruiert. Die Theorie und die Experimente beziehen sich dabei auf Probleme, die aus räumlich semidiskretisierten Reaktions-Diffusions-Gleichungen entstehen. In dieser Arbeit werden die Ansätze aus [2] auf Konvektions-Diffusions-Gleichungen angewendet und das resultierende Konvergenzverhalten von SDC-Methoden untersucht. Basierend auf einem einfachen Konvektions-Diffusions-Operator, dessen spektrale Eigenschaften umfassend studiert werden, wird ein Schema zur Verbesserung dieses Verhaltens entwickelt. Numerische Experimente zeigen, dass eine Verbesserung der in [1] eingeführten SDC-Methoden möglich ist. Die Untersuchungen ergeben weiterhin, dass das auch für komplexere Konvektions-Diffusions-Probleme gilt. [1] Alok Dutt, Leslie Greengard, und Vladimir Rokhlin. “Spectral deferred correction methods for ordinary differential equations.” In: BIT 40.2 (2000), pp. 241–266. [2] Martin Weiser. “Faster SDC convergence on non-equidistant grids by DIRK sweeps.” In: BIT 55.4 (2015), pp. 1219–1241. Y1 - 2017 ER - TY - JOUR A1 - Zschiedrich, Lin A1 - Binkowski, Felix A1 - Nikolay, Niko A1 - Benson, Oliver A1 - Kewes, Günter A1 - Burger, Sven T1 - Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators JF - Phys. Rev. A Y1 - 2018 U6 - https://doi.org/10.1103/PhysRevA.98.043806 VL - 98 SP - 043806 ER - TY - CHAP A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Schneider, Philipp-Immanuel A1 - Binkowski, Felix A1 - Burger, Sven T1 - Numerical optimization of resonant photonic devices T2 - Proc. SPIE Y1 - 2019 U6 - https://doi.org/10.1117/12.2534348 VL - 11057 SP - 1105702 ER - TY - JOUR A1 - Binkowski, Felix A1 - Zschiedrich, Lin A1 - Hammerschmidt, Martin A1 - Burger, Sven T1 - Modal analysis for nanoplasmonics with nonlocal material properties JF - Phys. Rev. B Y1 - 2019 U6 - https://doi.org/10.1103/PhysRevB.100.155406 VL - 100 SP - 155406 ER - TY - JOUR A1 - Colom, Remi A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Kivshar, Yuri A1 - Burger, Sven T1 - Enhanced Purcell factor for nanoantennas supporting interfering resonances JF - Phys. Rev. Research Y1 - 2022 U6 - https://doi.org/10.1103/PhysRevResearch.4.023189 VL - 4 SP - 023189 ER - TY - THES A1 - Binkowski, Felix T1 - Riesz-projection-based methods for the numerical simulation of resonance phenomena in nanophotonics Y1 - 2023 U6 - https://doi.org/10.17169/refubium-41230 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Kuen, Lilli A1 - Hammerschmidt, Martin A1 - Burger, Sven T1 - Efficient Photonic Component Analysis via AAA Rational Approximation T2 - 2025 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD) Y1 - 2025 U6 - https://doi.org/10.1109/NUSOD64393.2025.11199710 SP - 115 EP - 116 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Fischbach, Jan David A1 - Feldman, Nick A1 - Zschiedrich, Lin A1 - Rockstuhl, Carsten A1 - Koenderink, A. Femius A1 - Burger, Sven T1 - Uncovering Hidden Resonances in Non-Hermitian Systems with Scattering Thresholds (Laser Photonics Rev. 19(21)/2025) T2 - Laser Photonics Rev. Y1 - 2025 U6 - https://doi.org/10.1002/lpor.70534 VL - 19 IS - 21 SP - e70534 ER - TY - JOUR A1 - Abou Hamdan, Loubnan A1 - Jana, Aloke A1 - Colom, Rémi A1 - Aboujoussef, Nour A1 - Carlson, Cooper A1 - Overvig, Adam A1 - Binkowski, Felix A1 - Burger, Sven A1 - Genevet, Patrice T1 - A Complex-Frequency Framework for Kerker Unidirectionality in Photonic Resonators Y1 - 2026 U6 - https://doi.org/10.21203/rs.3.rs-8444305/v1 ER - TY - GEN A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Binkowski, Felix T1 - Efficient Rational Approximation of Optical Response Functions with the AAA Algorithm (Laser Photonics Rev. 18(11)/2024) T2 - Laser Photonics Rev. Y1 - 2024 U6 - https://doi.org/10.1002/lpor.202470071 VL - 18 SP - 2470071 ER - TY - JOUR A1 - Fischbach, Jan David A1 - Betz, Fridtjof A1 - Asadova, Nigar A1 - Tassan, Pietro A1 - Urbonas, Darius A1 - Stöferle, Thilo A1 - Mahrt, Rainer F. A1 - Burger, Sven A1 - Rockstuhl, Carsten A1 - Binkowski, Felix A1 - Sturges, Thomas Jebb T1 - A framework to compute resonances arising from multiple scattering JF - Adv. Theory Simul. Y1 - 2025 U6 - https://doi.org/10.1002/adts.202400989 VL - 8 SP - 2400989 ER - TY - CHAP A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Poles and Zeros in Resonant Nano-Photonic Systems T2 - 2024 Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR) Y1 - 2024 U6 - https://doi.org/10.1109/CLEO-PR60912.2024.10676837 ER - TY - JOUR A1 - Binkowski, Felix A1 - Burger, Sven A1 - Kewes, Günter T1 - A tiny Drude scatterer can accurately model a coherent emitter in nanophotonics JF - Nanophotonics Y1 - 2024 U6 - https://doi.org/10.1515/nanoph-2024-0170 VL - 13 SP - 4537 ER - TY - GEN A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Source code and simulation results: Resonance modes in microstructured photonic waveguides - Efficient and accurate computation based on AAA rational approximation T2 - Zenodo Y1 - 2024 U6 - https://doi.org/10.5281/zenodo.14202408 SP - doi: 10.5281/zenodo.14202408 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Fischbach, Jan David A1 - Feldman, Nick A1 - Zschiedrich, Lin A1 - Rockstuhl, Carsten A1 - Koenderink, A. Femius A1 - Burger, Sven T1 - Uncovering hidden resonances in non-Hermitian systems with scattering thresholds JF - Laser Photonics Rev. Y1 - 2025 U6 - https://doi.org/10.1002/lpor.202500811 VL - 19 SP - e00811 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Fischbach, Jan David A1 - Feldman, Nick A1 - Rockstuhl, Carsten A1 - Koenderink, A. Femius A1 - Burger, Sven T1 - Source code and simulation results: Hidden resonances in non-Hermitian systems with scattering thresholds T2 - Zenodo Y1 - 2025 U6 - https://doi.org/10.5281/zenodo.14651612 SP - doi: 10.5281/zenodo.14651612 ER - TY - JOUR A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation JF - Nanophotonics Y1 - 2025 U6 - https://doi.org/10.1515/nanoph-2024-0755 VL - 14 SP - 1665 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Cover Picture: Resonance Expansion of Quadratic Quantities with Regularized Quasinormal Modes JF - Phys. Status Solidi A Y1 - 2023 U6 - https://doi.org/10.1002/pssa.202370013 VL - 220 SP - 2370013 ER - TY - CHAP A1 - Kuen, Lilli A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Schneider, Philipp-Immanuel A1 - Hammerschmidt, Martin A1 - Heermeier, Niels A1 - Rodt, Sven A1 - Reitzenstein, Stephan A1 - Burger, Sven T1 - Applying a Riesz-projection-based contour integral eigenvalue solver to compute resonance modes of a VCSEL T2 - Proc. SPIE Y1 - 2023 U6 - https://doi.org/10.1117/12.2665490 VL - 12575 SP - 125750J ER - TY - JOUR A1 - Mikheeva, Elena A1 - Colom, Rémi A1 - Achouri, Karim A1 - Overvig, Adam A1 - Binkowski, Felix A1 - Duboz, Jean-Yves A1 - Cueff, Sébastien A1 - Fan, Shanhui A1 - Burger, Sven A1 - Alù, Andrea A1 - Genevet, Patrice T1 - Asymmetric phase modulation with light with parity-symmetry broken metasurfaces JF - Optica Y1 - 2023 U6 - https://doi.org/10.1364/OPTICA.495681 VL - 10 SP - 1287 ER - TY - GEN A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Colom, Remi A1 - Genevet, Patrice A1 - Burger, Sven T1 - Source code and simulation results: Poles and zeros of electromagnetic quantities in photonic systems T2 - Zenodo Y1 - 2023 U6 - https://doi.org/10.5281/zenodo.8063931 SP - 8063931 ER - TY - JOUR A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Colom, Remi A1 - Genevet, Patrice A1 - Burger, Sven T1 - Poles and zeros in non-Hermitian systems: Application to photonics JF - Phys. Rev. B Y1 - 2024 U6 - https://doi.org/10.1103/PhysRevB.109.045414 VL - 109 SP - 045414 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Burger, Sven T1 - RPExpand (Version 1) T2 - Zenodo Y1 - 2023 U6 - https://doi.org/10.5281/zenodo.7840116 SP - doi: 10.5281/zenodo.7840116 ER - TY - JOUR A1 - Binkowski, Felix A1 - Koulas-Simos, Aris A1 - Betz, Fridtjof A1 - Plock, Matthias A1 - Sekulic, Ivan A1 - Manley, Phillip A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Munkhbat, Battulga A1 - Reitzenstein, Stephan A1 - Burger, Sven T1 - High Purcell enhancement in all-TMDC nanobeam resonator designs with active monolayers for nanolasers JF - Phys. Rev. B Y1 - 2025 U6 - https://doi.org/10.1103/nxh9-dhvx VL - 112 SP - 235410 ER - TY - GEN A1 - Binkowski, Felix A1 - Koulas-Simos, Aris A1 - Betz, Fridtjof A1 - Plock, Matthias A1 - Sekulic, Ivan A1 - Manley, Phillip A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Munkhbat, Battulga A1 - Reitzenstein, Stephan A1 - Burger, Sven T1 - Source code and simulation results: High Purcell enhancement in all-TMDC nanobeam resonator designs with active monolayers for nanolasers T2 - Zenodo Y1 - 2025 U6 - https://doi.org/10.5281/zenodo.16533803 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Burger, Sven T1 - RPExpand: Software for Riesz projection expansion of resonance phenomena [Source Code] Y1 - 2021 U6 - https://doi.org/10.24433/CO.2372084.v1 ER - TY - JOUR A1 - Wu, Tong A1 - Arrivault, Denis A1 - Duruflé, Marc A1 - Gras, Alexandre A1 - Binkowski, Felix A1 - Burger, Sven A1 - Yan, Wei A1 - Lalanne, Philippe T1 - Efficient hybrid method for the modal analysis of optical microcavities and nanoresonators JF - J. Opt. Soc. Am. A Y1 - 2021 U6 - https://doi.org/10.1364/JOSAA.428224 VL - 38 SP - 1224 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Burger, Sven T1 - RPExpand: Software for Riesz projection expansion of resonance phenomena JF - SoftwareX Y1 - 2021 U6 - https://doi.org/10.1016/j.softx.2021.100763 VL - 15 SP - 100763 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Resonance expansion of quadratic quantities with regularized quasinormal modes JF - Phys. Status Solidi A Y1 - 2023 U6 - https://doi.org/10.1002/pssa.202200892 VL - 220 SP - 2200892 ER - TY - CHAP A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Burger, Sven ED - Zouhdi, S. T1 - Numerical methods for the investigation of resonances in nanophotonics T2 - The 12th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2022) Y1 - 2022 SN - 2429-1390 SP - 247 ER - TY - CHAP A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Colom, Remi A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Burger, Sven ED - Zouhdi, S. ED - Pawlak, D. ED - Kudelski, A. T1 - Contour integral methods for resonance phenomena in nano-optics T2 - The 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2021) Y1 - 2021 SN - 2429-1390 SP - 523 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Source code and simulation results for computing resonance expansions of quadratic quantities with regularized quasinormal modes T2 - Zenodo Y1 - 2022 U6 - https://doi.org/10.5281/zenodo.7376556 ER - TY - JOUR A1 - Binkowski, Felix A1 - Wu, Tong A1 - Lalanne, Philippe A1 - Burger, Sven A1 - Govorov, Alexander O. T1 - Hot Electron Generation through Near-Field Excitation of Plasmonic Nanoresonators JF - ACS Photonics Y1 - 2021 U6 - https://doi.org/10.1021/acsphotonics.1c00231 VL - 8 SP - 1243 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Binkowski, Felix T1 - Efficient rational approximation of optical response functions with the AAA algorithm JF - Laser Photonics Rev. Y1 - 2024 U6 - https://doi.org/10.1002/lpor.202400584 VL - 18 SP - 2400584 ER - TY - GEN A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Binkowski, Felix T1 - Source code and simulation results: Efficient rational approximation of optical response functions with the AAA algorithm T2 - Zenodo Y1 - 2024 U6 - https://doi.org/10.5281/zenodo.10853692 SP - doi: 10.5281/zenodo.10853692 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Kuen, Lilli A1 - Burger, Sven T1 - Version 2 — RPExpand: Software for Riesz projection expansion of resonance phenomena JF - SoftwareX Y1 - 2024 U6 - https://doi.org/10.1016/j.softx.2024.101694 VL - 26 SP - 101694 ER - TY - JOUR A1 - Plock, Matthias A1 - Binkowski, Felix A1 - Zschiedrich, Lin A1 - Schneider, Phillip-Immanuel A1 - Burger, Sven T1 - Fabrication uncertainty guided design optimization of a photonic crystal cavity by using Gaussian processes JF - J. Opt. Soc. Am. B Y1 - 2024 U6 - https://doi.org/10.1364/JOSAB.505767 VL - 41 SP - 850 ER - TY - GEN A1 - Plock, Matthias A1 - Binkowski, Felix A1 - Zschiedrich, Lin A1 - Schneider, Phillip-Immanuel A1 - Burger, Sven T1 - Research data for "Fabrication uncertainty guided design optimization of a photonic crystal cavity by using Gaussian processes" T2 - Zenodo Y1 - 2024 U6 - https://doi.org/10.5281/zenodo.8131611 SP - doi: 10.5281/zenodo.8131611 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Burger, Sven A1 - Kuen, Lilli T1 - RPExpand (Version 2.0) T2 - Zenodo Y1 - 2023 U6 - https://doi.org/10.5281/zenodo.10371002 SP - doi: 10.5281/zenodo.10371002 ER - TY - JOUR A1 - Binkowski, Felix A1 - Kullig, Julius A1 - Betz, Fridtjof A1 - Zschiedrich, Lin A1 - Walther, Andrea A1 - Wiersig, Jan A1 - Burger, Sven T1 - Computing eigenfrequency sensitivities near exceptional points JF - Phys. Rev. Research Y1 - 2024 U6 - https://doi.org/10.1103/PhysRevResearch.6.023148 VL - 6 SP - 023148 ER - TY - GEN A1 - Binkowski, Felix A1 - Kullig, Julius A1 - Betz, Fridtjof A1 - Zschiedrich, Lin A1 - Walther, Andrea A1 - Wiersig, Jan A1 - Burger, Sven T1 - Source code and simulation results: Computing eigenfrequency sensitivities near exceptional points T2 - Zenodo Y1 - 2024 U6 - https://doi.org/10.5281/zenodo.10715639 SP - doi: 10.5281/zenodo.10715639 ER - TY - GEN A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Source code and simulation data for Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators T2 - Zenodo Y1 - 2022 U6 - https://doi.org/10.5281/zenodo.6614951 ER - TY - JOUR A1 - Lopez-Fraguas, Eduardo A1 - Binkowski, Felix A1 - Burger, Sven A1 - Hagedorn, Sylvia A1 - Garcia-Camara, Braulio A1 - Vergaz, Ricardo A1 - Becker, Christiane A1 - Manley, Phillip T1 - Tripling the light extraction efficiency of a deep ultraviolet LED using a nanostructured p-contact JF - Sci. Rep. Y1 - 2022 U6 - https://doi.org/10.1038/s41598-022-15499-7 VL - 12 SP - 11480 ER - TY - JOUR A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators JF - Commun. Phys. Y1 - 2022 U6 - https://doi.org/10.1038/s42005-022-00977-1 VL - 5 SP - 202 ER - TY - GEN A1 - Colom, Remi A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Kivshar, Yuri A1 - Burger, Sven T1 - Source code and simulation results for nanoantennas supporting an enhanced Purcell factor due to interfering resonances T2 - Zenodo Y1 - 2022 U6 - https://doi.org/10.5281/zenodo.6565850 ER - TY - JOUR A1 - Fischbach, Jan David A1 - Betz, Fridtjof A1 - Rebholz, Lukas A1 - Garg, Puneet A1 - Frizyuk, Kristina A1 - Binkowski, Felix A1 - Burger, Sven A1 - Hammerschmidt, Martin A1 - Rockstuhl, Carsten T1 - Pole-Expansion of the T-Matrix Based on a Matrix-Valued AAA-Algorithm JF - ArXiV Y1 - 2026 U6 - https://doi.org/10.48550/arXiv.2602.18414 SP - arXiv:2602.18414 ER -