Representation of the Pareto front for heterogeneous multi-objective optimization. - In: Journal of applied and numerical optimization, ISSN 2562-5535, Bd. 1 (2019), 3, S. 293-323
Optimization problems with multiple objectives which are expensive, i.e., where function evaluations are time consuming, are difficult to solve. Finding at least one locally optimal solution is already a difficult task. In case only one of the objective functions is expensive while the others are cheap, for instance, analytically given, this can be used in the optimization procedure. Using a trust-region approach and the Tammer-Weidner-functional for finding descent directions, in [19] an algorithm was proposed which makes use of the heterogeneity of the objective functions. In this paper, we present three heuristic approaches, which allow to find additional optimal solutions of the multiobjective optimization problem and by that representations at least of parts of the Pareto front. We present the related theoretical results as well as numerical results on some test instances.
https://doi.org/10.23952/jano.1.2019.3.08
Symmetry and motion primitives in model predictive control. - In: Mathematics of control, signals, and systems, ISSN 1435-568X, Bd. 31 (2019), 4, S. 455-485
https://doi.org/10.1007/s00498-019-00246-7
Non-Hermitian defect states from lifetime differences. - In: Physical review, ISSN 2469-9934, Bd. 100 (2019), 6, 063801, insges. 8 S.
https://doi.org/10.1103/PhysRevA.100.063801
Superdirectional light emission and emission reversal from microcavity arrays. - In: Physical review research, ISSN 2643-1564, Bd. 1 (2019), 3, S. 033171-1-033171-5
Optical microdisk cavities with certain asymmetric shapes are known to possess unidirectional far-field emission properties. Here, we investigate arrays of these dielectric microresonators with respect to their emission properties resulting from the coherent behavior of the coupled constituents. This approach is inspired by electronic mesoscopic physics where the additional interference effects are known to enhance the properties of the individual system. As an example, we study the linear arrangement of nominally identical Lima¸con-shaped cavities and find mostly an increase of the portion of directional emitted light while its angular spread is largely diminished from 20 deg for the single cavity to about 3 deg for a linear array of 10 Lima¸con resonators, in fair agreement with a simple array model. Moreover, by varying the intercavity distance, we observe windows of reversion of the emission directionality and superdirectionality that can be interesting for applications like optical sensing or interconnects. We introduce a generalized array factor model that takes the coupling into account.
https://doi.org/10.1103/PhysRevResearch.1.033171
Towards optimal control of concentric tube robots in stereotactic neurosurgery. - In: Mathematical and computer modelling of dynamical systems, ISSN 1744-5051, Bd. 25 (2019), 6, S. 560-574
https://doi.org/10.1080/13873954.2019.1690004
Voigt exceptional points in an anisotropic ZnO-based planar microcavity: square-root topology, polarization vortices, and circularity. - In: Physical review letters, ISSN 1079-7114, Bd. 123 (2019), 22, 227401, insges. 7 S.
https://doi.org/10.1103/PhysRevLett.123.227401
Untersuchung von ScAlN für piezoelektrische und ferroelektrische Anwendungen. - In: MikroSystemTechnik Kongress 2019, (2019), S. 412-416
Modellierung, Fertigung und Erprobung einer neuartigen EWOD-betriebenen Mikropumpe. - In: MikroSystemTechnik Kongress 2019, (2019), S. 378-381
Mesoskopische Flüstergaleriemodenresonatoren im sichtbaren Spektrum auf Basis von Silizium Mikrostrukturierung. - In: MikroSystemTechnik Kongress 2019, (2019), S. 178-181
Preparation and deep characterization of composite/hybrid multi-scale and multi-domain polymeric microparticles. - In: Materials, ISSN 1996-1944, Bd. 12 (2019), 23, 3921, insges. 13 S.
https://doi.org/10.3390/ma12233921