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Topological Photonic Crystal Ring Resonator Pressure Sensor in the Optical Communication Range [PDF]
SensorsOptical pressure sensors offer the advantages of high sensitivity, immunity to interference, and suitability for use in extreme environments. Based on the defect-immune, unidirectional transmission characteristics of valley photonic crystals (VPCs) and ...
Min Wu +3 more
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Topological Krasner hyperrings with special emphasis on isomorphism theorems
Applied General Topology, 2022 Krasner hyperring is one of the generalizations of the classical ring in literature. In this paper, the notion of topological Krasner hyperring is introduced as a generalization of topological ring and variant of isomorphism theorems are ...
Manooranjan Singha, Kousik Das
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On unconditionally convergent series in topological rings
Karpatsʹkì Matematičnì Publìkacìï, 2022 We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the additive identity $0$ of $R$ there exists a neighborhood $V\subseteq R$ of $0$ such that $\sum_{n ...
T.O. Banakh, A.V. Ravsky
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A note on α−irresolute topological rings
Ratio Mathematica, 2020 In [4], we introduced the notion of α−irresolute topological rings in Mathematics. This notion is independent of topological rings. In this note, we point out that under certain conditions an α−irresolute topological ring is topological ring and vice ...
Madhu Ram
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Regularity in Topological Modules
Mathematics, 2020 The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
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Creating boundaries along a synthetic frequency dimension
Nature Communications, 2022 The exploration of topological boundary effects is one of the important aspects that could foster the development of future topological photonics devices.
Avik Dutt +6 more
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Conjugated topological interface-states in coupled ring resonators
Scientific Reports, 2021 The optical properties of topological photonics have attracted much interest recently because its potential applications for robust unidirectional transmission that are immune to scattering at disorder.
Yu-Chuan Lin, Bo-Yu Chen, Wen-Jeng Hsueh
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Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, 2021 In this paper, we study the connection between topological spaces, hyperrings (semi-hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi-hypergroups.
Nabilah Abughazalah +2 more
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Ideal nodal rings of one-dimensional photonic crystals in the visible region
Light: Science & Applications, 2022 Three-dimensional (3D) artificial metacrystals host rich topological phases, such as Weyl points, nodal rings, and 3D photonic topological insulators. These topological states enable a wide range of applications, including 3D robust waveguides, one-way ...
Wei-Min Deng +8 more
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Topological resonances in a Möbius ring resonator
Communications Physics, 2023 A Möbius strip, fascinating for its unique topological property of being a one-side nonorientable surface, has inspired mathematicians, physicists, engineers, and artists for many centuries.
Yao Chen +4 more
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