Results 11 to 20 of about 27,497,539 (341)
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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Partitioning bases of topological spaces [PDF]
Electronic Notes in Discrete Mathematics, 2013 We investigate whether an arbitrary base for a dense-in-itself topological space can be partitioned into two bases. We prove that every base for a T_3 Lindel f topology can be partitioned into two bases while there exists a consistent example of a first countable, 0-dimensional, Hausdorff space of size continuum and weight _1 which admits a point ...
Soukup, Dániel Tamás, Soukup, Lajos
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An operator-based approach to topological photonics
Nanophotonics, 2022 Abstract Recently, the study of topological structures in photonics has garnered significant interest, as these systems can realize robust, nonreciprocal chiral edge states and cavity-like confined states that have applications in both linear and nonlinear devices.
Alexander Cerjan, Terry A. Loring
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Topological insulators-based magnetic heterostructures [PDF]
Advances in Physics: X, 2021 The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films, the MTI heterostructures provide a better framework to manipulate the spin-orbit coupling and spin properties.
Qing Lin He +4 more
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Liquid-crystal-based topological photonics [PDF]
Proceedings of the National Academy of Sciences, 2021 SignificanceLiquid crystals are complex fluids that combine a unique ability to manipulate light with the reconfigurability of soft materials. They are at the core of modern display technology. Here, we suggest that nematic liquid crystals can also be used as building blocks of topological materials key to realize protected unidirectional waveguides ...
Abbaszadeh, H. +3 more
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Cardinalities of topologies with small base
Annals of Pure and Applied Logic, 1994 Let T be the family of open subsets of a topological space (not necessarily Hausdorff or even T_0). We prove that if T has a base of cardinality <= mu, lambda <= mu < 2^lambda, lambda strong limit of cofinality aleph_0, then T has cardinality <= mu or >= 2^lambda. This is our main conclusion.
Saharon Shelah, Saharon Shelah
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Topology-based signal separation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2004 Traditional noise-filtering techniques are known to significantly alter features of chaotic data. In this paper, we present a noncausal topology-based filtering method for continuous-time dynamical systems that is effective in removing additive, uncorrelated noise from time-series data.
Robins, Vanessa +2 more
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Topological metamaterials based on polariton rings [PDF]
Physical Review B, 2018 Chern insulator phase is shown to emerge in two-dimensional arrays of polariton rings where time-reversal symmetry is broken due to the application of an out-of-plane magnetic field. The interplay of Zeeman splitting with the photonic analog of spin-orbit coupling (TE-TM splitting) inherently present in this system leads to the appearance of synthetic ...
Ivan Iorsh +6 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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MATCHA: Speeding Up Decentralized SGD via Matching Decomposition Sampling [PDF]
International Conference on Intelligent Cloud Computing, 2019 Decentralized stochastic gradient descent (SGD) is a promising approach to learn a machine learning model over a network of workers connected in an arbitrary topology.
Jianyu Wang +4 more
semanticscholar +1 more source