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Topological rainbow based on graded topological photonic crystals

Optics Letters, 2021
Topological photonic crystal provides a robust platform for nanophotonic devices. However, few reports have been found to realize multiple frequency routing based on topological photonic states, which have restricted further applications in the field of nanophotonic devices.
Hongyu Zhang   +6 more
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Reliability-based topology optimization

Structural and Multidisciplinary Optimization, 2004
Udgivelsesdato ...
Kharmanda, G.   +3 more
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Region-Based Topology

Journal of Philosophical Logic, 1997
This is a very original investigation in the philosophy of topology. Its basic ideas are not totally unheard of; the author cites anticipations by K. Menger and A. Tarski, and a topologist notes more technical bases in \textit{M. H. Stone's} apparatus of Boolean maps [Trans. Am. Math. Soc. 41, 375-481 (1937; Zbl 0017.13502)]\ and in \textit{A.
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A topology-based filling algorithm

Computers & Graphics, 2001
In this paper we present a fast-recursive fully automated topology-based algorithm for filling in the interiors of objects that appear in a binary image. The algorithm is based on two topological properties of the image contours: perimeter coincidence and interiority.
Miguel Ángel Carbonero Martín   +3 more
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Geometric bases and topological equivalence

Communications on Pure and Applied Mathematics, 1987
AbstractThere are many algebraic and topological invariants associated to a singular point of a complex analytic function. The intent here is to discuss some of these invariants and the topological classification of singularities. Specifically, we establish that the topological type is determined by the Lefschetz vanishing cycles obtained by unfolding ...
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Nanoelectronics based on topological structures

Nature Materials, 2019
Topological structures have considerable potential in nanoelectronics and new device concepts. They are key to the design and understanding of novel functionalities in ferroic materials — that is, materials that have one or more types of built-in order such as magnetic, ferroelectric, ferroelastic and multiferroic materials.
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On Topological Bases

1981
In this chapter we investigate bases and related objects in topological vector spaces and in particular in locally convex spaces. No attempt is made to be complete, we only treat some of the most important topics which will be needed in later discussions.
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RealNet: A Topology Generator Based on Real Internet Topology

22nd International Conference on Advanced Information Networking and Applications - Workshops (aina workshops 2008), 2008
One of the challenges of large-scale network simulations is the lack of scalable and realistic Internet topology generators. Previous topology generators are either not scalable to millions of nodes, or not able to capture characteristics of the Internet topology.
M.R. Ito   +2 more
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Categorical foundations of variety-based topology and topological systems

Fuzzy Sets and Systems, 2012
The paper considers a new approach to fuzzy topology based on the concept of variety and developed in the framework of topological theories resembling those of Rodabaugh. As a result, a categorical generalization of the notion of topological system of Vickers is obtained, and its theory unfolded, which clarifies the relations between algebra and ...
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