Results 11 to 20 of about 87,135 (264)
Topological Nanophotonic Wavelength Router Based on Topology Optimization [PDF]
Micromachines, 2021 The topological nanophotonic wavelength router, which can steer light with different wavelength signals into different topological channels, plays a key role in optical information processing. However, no effective method has been found to realize such a topological nanophotonic device.
Hongyi Yuan +5 more
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$P$-bases and topological groups [PDF]
Proceedings of the American Mathematical Society, 2021 A topological space $X$ is defined to have a neighborhood $P$-base at any $x\in X$ from some poset $P$ if there exists a neighborhood base $(U_p[x])_{p\in P}$ at $x$ such that $U_p[x]\subseteq U_{p'}[x]$ for all $p\geq p'$ in $P$. We prove that a compact space is countable, hence metrizable, if it has countable scattered height and a $\mathcal{K}(M ...
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Topological rainbow based on coupling of topological waveguide and cavity
Optics Express, 2023 Topological photonics and topological photonic states have opened up a new frontier for optical manipulation and robust light trapping. The topological rainbow can separate different frequencies of topological states into different positions. This work combines a topological photonic crystal waveguide (topological PCW) with the optical cavity.
Sayed Elshahat, Hongyu Zhang, Cuicui Lu
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The Upgrade of Topological Group Based on a New Hyper-topology [PDF]
Fuzzy Information and Engineering, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong, Yu-Bin, Li, Hong-Xing
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Topological, or Non-topological? A Deep Learning Based Prediction
CoRR, 2023 Prediction and discovery of new materials with desired properties are at the forefront of quantum science and technology research. A major bottleneck in this field is the computational resources and time complexity related to finding new materials from ab initio calculations.
Ashiqur Rasul +5 more
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Journal of Marine Science and Engineering, 2023 Ocean wireless sensor networks (OWSNs) play an important role in marine environment monitoring, underwater target tracking, and marine defense. OWSNs not only monitor the surface information in real time but also act as an important relay layer for ...
Ying Zhang +3 more
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On The Stability Of Fixed Points In Topological Spaces
Journal of Kufa for Mathematics and Computer, 2014 In this papers we introduced new concepts of stability: strongly stable, c-stable, and c-strongly stable. We discussed the stability of fixed points with respect to each of a topology and a base for that topology.
Abedal-Hamza Mahdi Hamza +1 more
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Simultaneous Material and Topology Optimization Based on Topological Derivatives [PDF]
, 2014 We use an asymptotic expansion of the compliance cost functional in linear elasticity to find the optimal material inside elliptic inclusions. We extend the proposed method to material optimization on the whole domain and compare the global quality of the solutions for different inclusion sizes.
Jannis Greifenstein, Michael Stingl
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Partitioning bases of topological spaces [PDF]
Electronic Notes in Discrete Mathematics, 2013 26 pages, revised, submitted to ...
Dániel T. Soukup, Lajos Soukup
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The hyperspaces Cn(X) for finite ray-graphs
Applied General Topology, 2013 In this paper we consider the hyperspace Cn(X) of non-empty and closed subsets of a base space X with up to n connected components. The class of base spaces we consider we call finite ray-graphs, and are a noncompact variation on finite graphs.
Norah Esty
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