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Related papers: Designing multi-directional energy-splitters and t…

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Strategically combining four structured domains creates the first ever three-way topological energy-splitter; remarkably, this is only possible using a square, or rectangular, lattice, and not the graphene-like structures more commonly used…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Mehul P. Makwana , Gregory J. Chaplain

Topological boundary modes utilizing valley mode waveguides have opened opportunities in, for instance, the design of high transmission waveguides with tolerance to geometrical defects and sharp bends. Applications of these waveguides…

Topological photonics offers transformative potential for robust integrated waveguide devices due to their backscattering-immune properties. However, their integration faces two fundamental challenges: mode symmetry mismatch with…

A family of graphs optimized as the topologies for supercomputer interconnection networks is proposed. The special needs of such network topologies, minimal diameter and mean path length, are met by special constructions of the weight…

Discrete Mathematics · Computer Science 2017-06-30 Alexandre F. Ramos , Yuefan Deng

We create a passive wave splitter, created purely by geometry, to engineer three-way beam splitting in electromagnetism in transverse electric polarisation. We do so by considering arrangements of Indium Phosphide dielectric pillars in air,…

Optics · Physics 2019-06-26 Mehul P. Makwana , Richard Craster , Sebastien Guenneau

Although two-dimensional periodic structures have functioned as the primary platform for exploring topological phenomena, recent advances have substantially expanded this research boundary to include more intricate, aperiodic structures:…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Sunkyu Yu , Xianji Piao , Namkyoo Park

Topological phases play a crucial role in the fundamental physics of light-matter interaction and emerging applications of quantum technologies. However, the topological band theory of waveguide QED systems is known to break down, because…

Optics · Physics 2023-12-08 Yongguan Ke , Jiaxuan Huang , Wenjie Liu , Yuri Kivshar , Chaohong Lee

Developing alternative paradigms of electronics beyond silicon technology requires the exploration of fundamentally new physical mechanisms, such as the valley specific phenomena in hexagonal two-dimensional materials. We realize ballistic…

Mesoscale and Nanoscale Physics · Physics 2018-12-11 Jing Li , Rui-Xing Zhang , Zhenxi Yin , Jianxiao Zhang , Kenji Watanabe , Takashi Taniguchi , Chaoxing Liu , Jun Zhu

We consider the propagation of time harmonic acoustic waves in a device with three channels. The wave number is chosen such that only the piston mode can propagate. The main goal of this work is to present a geometry which can serve as an…

Analysis of PDEs · Mathematics 2021-04-07 Lucas Chesnel , Sergei A. Nazarov

It is shown that the concept of topological phase transitions can be used to design nonlinear photonic structures exhibiting power thresholds and discontinuities in their transmittance. This provides a novel route to devising nonlinear…

Optics · Physics 2017-09-15 Xin Zhou , You Wang , Daniel Leykam , Y. D. Chong

Photonic topological insulators (PTIs) have been widely studied due to the robustness of energy transport via supported edge modes immune to structural disorder. In this work, a topological gap waveguide is constructed by introducing line…

Applied Physics · Physics 2023-10-05 Yan Ren , Hai Lin , Rui Zhou , Xintong Shi , Jing Jin , Y. Liu

Topological protection offers unprecedented opportunities for wave manipulation and energy transport in various fields of physics, including elasticity, acoustics, quantum mechanics and electromagnetism. Distinct classes of topological…

Applied Physics · Physics 2019-07-24 Marco Miniaci , Raj Kumar Pal , Raffaele Manna , Massimo Ruzzene

The interconnection network comprises a significant portion of the cost of large parallel computers, both in economic terms and power consumption. Several previous proposals exploit large-radix routers to build scalable low-distance…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-24 Cristóbal Camarero , Carmen Martínez , Enrique Vallejo , Ramón Beivide

This paper presents an optimal network topology control framework using cutting-plane methods for efficient network partitioning with controllable edges. The objective is to enable real-time reconfiguration of interconnected sub-networks…

Optimization and Control · Mathematics 2026-05-01 Duong Thuy Anh Nguyen , Harsha Nagarajan , Robert Ferrando , Russell Bent , David Fobes

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Topological insulators show important properties, such as topological phase transitions and topological edge states. Although these properties and phenomena can be simulated by well-designed circuits, it is undoubtedly difficult to design…

Applied Physics · Physics 2024-07-19 Xi Chen , Jinyang Sun , Xiumei Wang , Maoxin Chen , Qingyuan Lin , Minggang Xia , Xingping Zhou

Dimensionality is one of the most important properties of complex physical systems. However, only recently this concept has been considered in the context of complex networks. In this paper we further develop the previously introduced…

Physics and Society · Physics 2013-08-19 Filipi Nascimento Silva , Luciano da Fontoura Costa

Topolectrical circuits have emerged as a pivotal platform for realizing static topological states that are challenging to construct in other systems, facilitating the design of robust circuit devices. In addition to spatial dimensionality,…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Weixuan Zhang , Wenhui Cao , Long Qian , Hao Yuan , Xiangdong Zhang

We introduce the concept of valley-layer coupling (VLC) in two-dimensional materials, where the low-energy electronic states in the emergent valleys have valley-contrasted layer polarization such that each state is spatially localized on…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Zhi-Ming Yu , Shan Guan , Xian-Lei Sheng , Weibo Gao , Shengyuan A. Yang

The power flow equations, which relate power injections and voltage phasors, are at the heart of many electric power system computations. While Newton-based methods typically find the "high-voltage" solution to the power flow equations,…

Optimization and Control · Mathematics 2016-11-17 Daniel K Molzahn , Dhagash Mehta , Matthew Niemerg
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