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Journal articles on the topic 'Topological waves'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Hayran, Zeki, Seyyed Ali Hassani Gangaraj, and Francesco Monticone. "Topologically protected broadband rerouting of propagating waves around complex objects." Nanophotonics 8, no. 8 (May 9, 2019): 1371–78. http://dx.doi.org/10.1515/nanoph-2019-0075.

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AbstractAchieving robust propagation and guiding of electromagnetic waves through complex and disordered structures is a major goal of modern photonics research, for both classical and quantum applications. Although the realization of backscattering-free and disorder-immune guided waves has recently become possible through various photonic schemes inspired by topological insulators in condensed matter physics, the interaction between such topologically protected guided waves and free-space propagating waves remains mostly unexplored, especially in the context of scattering systems. Here, we theoretically demonstrate that free-space propagating plane waves can be efficiently coupled into topological one-way surface waves, which can seamlessly flow around sharp corners and electrically large barriers and release their energy back into free space in the form of leaky-wave radiation. We exploit this physical mechanism to realize topologically protected wave-rerouting around an electrically large impenetrable object of complex shape, with transmission efficiency exceeding 90%, over a relatively broad bandwidth. The proposed topological wave-rerouting scheme is based on a stratified structure composed of a topologically nontrivial magnetized plasmonic material coated by a suitable isotropic layer. Our results may open a new avenue in the field of topological photonics and electromagnetics, for applications that require engineered interactions between guided waves and free-space propagating waves, including for complex beam-routing systems and advanced stealth technology. More generally, our work may pave the way for robust defect/damage-immune scattering and radiating systems.

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2

Ossi, Nicholas, Sathyanarayanan Chandramouli, Ziad H. Musslimani, and Konstantinos G. Makris. "Topological constant-intensity waves." Optics Letters 47, no. 4 (February 15, 2022): 1001. http://dx.doi.org/10.1364/ol.441942.

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3

Ablowitz, Mark J., and Justin T. Cole. "Solitons and topological waves." Science 368, no. 6493 (May 21, 2020): 821–22. http://dx.doi.org/10.1126/science.abb5162.

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4

Van Mechelen, Todd, and Zubin Jacob. "Unidirectional Maxwellian spin waves." Nanophotonics 8, no. 8 (June 19, 2019): 1399–416. http://dx.doi.org/10.1515/nanoph-2019-0092.

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AbstractIn this article, we develop a unified perspective of unidirectional topological edge waves in nonreciprocal media. We focus on the inherent role of photonic spin in nonreciprocal gyroelectric media, i.e. magnetized metals or magnetized insulators. Due to the large body of contradicting literature, we point out at the outset that these Maxwellian spin waves are fundamentally different from well-known topologically trivial surface plasmon polaritons. We first review the concept of a Maxwell Hamiltonian in nonreciprocal media, which immediately reveals that the gyrotropic coefficient behaves as a photon mass in two dimensions. Similar to the Dirac mass, this photonic mass opens bandgaps in the energy dispersion of bulk propagating waves. Within these bulk photonic bandgaps, three distinct classes of Maxwellian edge waves exist – each arising from subtle differences in boundary conditions. On one hand, the edge wave solutions are rigorous photonic analogs of Jackiw-Rebbi electronic edge states. On the other hand, for the exact same system, they can be high frequency photonic counterparts of the integer quantum Hall effect, familiar at zero frequency. Our Hamiltonian approach also predicts the existence of a third distinct class of Maxwellian edge wave exhibiting topological protection. This occurs in an intriguing topological bosonic phase of matter, fundamentally different from any known electronic or photonic medium. The Maxwellian edge state in this unique quantum gyroelectric phase of matter necessarily requires a sign change in gyrotropy arising from nonlocality (spatial dispersion). In a Drude system, this behavior emerges from a spatially dispersive cyclotron frequency that switches sign with momentum. A signature property of these topological electromagnetic edge states is that they are oblivious to the contacting medium, i.e. they occur at the interface of the quantum gyroelectric phase and any medium (even vacuum). This is because the edge state satisfies open boundary conditions – all components of the electromagnetic field vanish at the interface. Furthermore, the Maxwellian spin waves exhibit photonic spin-1 quantization in exact analogy with their supersymmetric spin-1/2 counterparts. The goal of this paper is to discuss these three foundational classes of edge waves in a unified perspective while providing in-depth derivations, taking into account nonlocality and various boundary conditions. Our work sheds light on the important role of photonic spin in condensed matter systems, where this definition of spin is also translatable to topological photonic crystals and metamaterials.

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Ori, Ottorino, Franco Cataldo, and Mihai V. Putz. "Topological Anisotropy of Stone-Wales Waves in Graphenic Fragments." International Journal of Molecular Sciences 12, no. 11 (November 15, 2011): 7934–49. http://dx.doi.org/10.3390/ijms12117934.

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6

Grocholski, Brent. "Fluid waves with topological origins." Science 358, no. 6366 (November 23, 2017): 1015.13–1017. http://dx.doi.org/10.1126/science.358.6366.1015-m.

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7

Delplace, Pierre, J. B. Marston, and Antoine Venaille. "Topological origin of equatorial waves." Science 358, no. 6366 (October 5, 2017): 1075–77. http://dx.doi.org/10.1126/science.aan8819.

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8

Darabi, Amir, Manuel Collet, and Michael J. Leamy. "Experimental realization of a reconfigurable electroacoustic topological insulator." Proceedings of the National Academy of Sciences 117, no. 28 (June 29, 2020): 16138–42. http://dx.doi.org/10.1073/pnas.1920549117.

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A substantial challenge in guiding elastic waves is the presence of reflection and scattering at sharp edges, defects, and disorder. Recently, mechanical topological insulators have sought to overcome this challenge by supporting back-scattering resistant wave transmission. In this paper, we propose and experimentally demonstrate a reconfigurable electroacoustic topological insulator exhibiting an analog to the quantum valley Hall effect (QVHE). Using programmable switches, this phononic structure allows for rapid reconfiguration of domain walls and thus the ability to control back-scattering resistant wave propagation along dynamic interfaces for phonons lying in static and finite-frequency regimes. Accordingly, a graphene-like polyactic acid (PLA) layer serves as the host medium, equipped with periodically arranged and bonded piezoelectric (PZT) patches, resulting in two Dirac cones at theKpoints. The PZT patches are then connected to negative capacitance external circuits to break inversion symmetry and create nontrivial topologically protected bandgaps. As such, topologically protected interface waves are demonstrated numerically and validated experimentally for different predefined trajectories over a broad frequency range.

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9

Xing, Hongyang, Junxing Fan, Dan Lu, Zhen Gao, Perry Ping Shum, and Longqing Cong. "Terahertz Metamaterials for Free-Space and on-Chip Applications: From Active Metadevices to Topological Photonic Crystals." Advanced Devices & Instrumentation 2022 (August 4, 2022): 1–23. http://dx.doi.org/10.34133/2022/9852503.

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Terahertz (THz) waves have exhibited promising applications in imaging, sensing, and communications, especially for the next-generation wireless communications due to the large bandwidth and abundant spectral resources. Modulators and waveguides to manipulate THz waves are becoming key components to develop the relevant technologies where metamaterials have exhibited extraordinary performance to control free-space and on-chip propagation, respectively. In this review, we will give a brief overview of the current progress in active metadevices and topological photonic crystals, for applications of terahertz free-space modulators and on-chip waveguides. In the first part, the most recent research progress of active terahertz metadevices will be discussed by combining metamaterials with various active media. In the second part, fundamentals of photonic topological insulations will be introduced where the topological photonic crystals are an emerging research area that would boost the development of on-chip terahertz communications. It is envisioned that the combination of them would find great potential in more advanced terahertz applications, such as reconfigurable topological waveguides and topologically-protected metadevices.

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10

Tang, Zehuan, Jiachao Xu, Bowei Wu, Shuanghuizhi Li, Fei Sun, Tingfeng Ma, Iren Kuznetsova, Ilya Nedospasov, Boyue Su, and Pengfei Kang. "Topological Valley Transport of Elastic Waves Based on Periodic Triangular-Lattices." Crystals 13, no. 1 (December 30, 2022): 67. http://dx.doi.org/10.3390/cryst13010067.

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Topological transports of elastic waves have attracted much attention because of their unique immunity to defects and backscattering-suppression ability. Periodic lattice structures are ideal carriers of elastic-wave transports due to their ability to manipulate elastic waves. Compared with honeycomb-lattice structures, the wave-guide-path designs of triangular-lattice structures have higher flexibility. In this paper, topological transports of elastic waves in the periodic triangular-lattice structure are explored. It is shown that differences between intra-coupling and inter-coupling radii can cause the destruction of the effective spatial inversion symmetry, which gives rise to the valley Hall phase transition and the forming of topological edge states. Utilizing valley Hall effect, topological transports of elastic waves traveling along linear and Z-shaped waveguides are realized with low scattering and immunity to defects. On this basis, the path-selection function of transports of elastic waves in periodic triangular-lattice structures is obtained. Topological valley Hall edge states of elastic waves in periodic triangular-lattice structures have a good application prospects in elastic-wave manipulations and communications.

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11

Darabi, Amir, and Michael J. Leamy. "Reconfigurable topological insulator for elastic waves." Journal of the Acoustical Society of America 146, no. 1 (July 2019): 773–81. http://dx.doi.org/10.1121/1.5114920.

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12

Kirova, N., and S. Brazovskii. "Topological defects in spin density waves." Le Journal de Physique IV 10, PR3 (March 2000): Pr3–183—Pr3–189. http://dx.doi.org/10.1051/jp4:2000320.

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13

Morales, A., R. A. Méndez-Sánchez, and J. Flores. "Topological defects in 1D elastic waves." Physica E: Low-dimensional Systems and Nanostructures 19, no. 3 (August 2003): 289–91. http://dx.doi.org/10.1016/s1386-9477(03)00233-9.

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14

Shi, Peng, Luping Du, Congcong Li, Anatoly V. Zayats, and Xiaocong Yuan. "Transverse spin dynamics in structured electromagnetic guided waves." Proceedings of the National Academy of Sciences 118, no. 6 (February 1, 2021): e2018816118. http://dx.doi.org/10.1073/pnas.2018816118.

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Spin–momentum locking, a manifestation of topological properties that governs the behavior of surface states, was studied intensively in condensed-matter physics and optics, resulting in the discovery of topological insulators and related effects and their photonic counterparts. In addition to spin, optical waves may have complex structure of vector fields associated with orbital angular momentum or nonuniform intensity variations. Here, we derive a set of spin–momentum equations which describes the relationship between the spin and orbital properties of arbitrary complex electromagnetic guided modes. The predicted photonic spin dynamics is experimentally verified with four kinds of nondiffracting surface structured waves. In contrast to the one-dimensional uniform spin of a guided plane wave, a two-dimensional chiral spin swirl is observed for structured guided modes. The proposed framework opens up opportunities for designing the spin structure and topological properties of electromagnetic waves with practical importance in spin optics, topological photonics, metrology and quantum technologies and may be used to extend the spin-dynamics concepts to fluid, acoustic, and gravitational waves.

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15

Oblak, B. "Topological bifurcations and reconstruction of travelling waves." Physics of Fluids 33, no. 2 (February 2021): 027107. http://dx.doi.org/10.1063/5.0041269.

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16

Oudich, Mourad, and Yun Jing. "Elastic topological pumping for surface acoustic waves." Journal of the Acoustical Society of America 150, no. 4 (October 2021): A109. http://dx.doi.org/10.1121/10.0007792.

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17

Zheng, Yi, Shi-Ping Feng, and Shi-Jie Yang. "Topological charge pump by surface acoustic waves." Chinese Physics B 25, no. 6 (June 2016): 067301. http://dx.doi.org/10.1088/1674-1056/25/6/067301.

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18

Tang, Haocheng, Honglang Li, Xiang Xie, Yue Zhang, Lianbo Guo, Degang Zhao, and Wei Luo. "Thermally controlled topological states for elastic waves." Applied Physics Letters 115, no. 25 (December 16, 2019): 253501. http://dx.doi.org/10.1063/1.5123178.

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19

GOSWAMI, GAUTAM. "TOPOLOGICAL EXCITATIONS, SPIN WAVES AND THE ORIGIN OF MASS." International Journal of Modern Physics B 09, no. 22 (October 10, 1995): 2937–47. http://dx.doi.org/10.1142/s0217979295001099.

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Topological aspects of low energy excitations in the form of spin-waves in ferromagnetic systems are studied here. It is pointed out that the generation of spin-waves in three-dimensional Ising fermions can be visualized through the change in chirality. The characteristic features of spin-waves in both the phases of a continuous symmetric XY model are also studied. It is argued that the mass generation of these low energy excitations has a topological origin.

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20

Lata, Trevor D., Pierre A. Deymier, Keith Runge, and William Clark. "Topological Acoustic Sensing Using Nonseparable Superpositions of Acoustic Waves." Vibration 5, no. 3 (August 25, 2022): 513–29. http://dx.doi.org/10.3390/vibration5030029.

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We introduce a method, topological acoustic sensing, which exploits changes in the geometric phase of nonseparable coherent superpositions of acoustic waves to sense mass defects in arrays of coupled acoustic waveguides. Theoretical models and experimental results shed light on the origin of the behavior and sensitivity of the geometric phase due to the presence of mass defects. The choice of the coherent superposition of waves used to probe the defects as well as the mathematical representation determining the topological characteristics of its space of states are shown to be critical in maximizing the sensitivity of the topological acoustic sensing method.

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21

Tsujimura, Toru Ii, Yuki Goto, Koji Okada, Sakuji Kobayashi, and Shin Kubo. "Development of off-axis spiral phase mirrors for generating optical vortices in a range of millimeter waves." Review of Scientific Instruments 93, no. 4 (April 1, 2022): 043507. http://dx.doi.org/10.1063/5.0077893.

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In this paper, we report the development of off-axis spiral phase mirrors that can be used to generate optical vortices from a range of millimeter waves. An obliquely incident Gaussian beam is reflected from a spiral phase mirror and is converted into an optical vortex beam with a desired topological charge. The mirrors were fabricated by mechanical machining. The designed vortex properties of reflected waves were investigated experimentally by using a low-power test, where the designed topological charge was verified based on the interference pattern between a vortex beam and a Gaussian-like beam. The designed topological charge was also estimated by using a phase retrieval method specialized for a vortex beam. These off-axis spiral phase mirrors can be used for propagation experiments of radio frequency waves with helical wavefronts in magnetized plasma.

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22

Zheng, Shengjie, Guiju Duan, and Baizhan Xia. "Progress in Topological Mechanics." Applied Sciences 12, no. 4 (February 14, 2022): 1987. http://dx.doi.org/10.3390/app12041987.

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Topological mechanics is rapidly emerging as an attractive field of research where mechanical waveguides can be designed and controlled via topological methods. With the development of topological phases of matter, recent advances have shown that topological states have been realized in the elastic media exploiting analogue quantum Hall effect, analogue quantum spin Hall effect, analogue quantum valley Hall effect, higher-order topological physics, topological pump, topological lattice defects and so on. This review aims to introduce the experimental and theoretical achievements with defect-immune protected elastic waves in mechanical systems based on the abovementioned methods, respectively. From these discussions, we predict the possible perspective of topological mechanics.

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23

Singha Roy, Subhamoy. "Chiral Waves and Topological Novel States in Fermi." International Journal of Materials Science and Applications 11, no. 2 (2022): 42. http://dx.doi.org/10.11648/j.ijmsa.20221102.11.

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24

Lobyshev, V. I., and A. B. Solovey. "Structure of bound water and topological rearrangement waves." Biophysics 56, no. 5 (October 2011): 816–23. http://dx.doi.org/10.1134/s0006350911050101.

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25

Zhang, Gang, and Yuanwen Gao. "A three-dimensional magnetoelastic valley Hall insulator with tunable elastic wave route and frequency." Journal of Applied Physics 132, no. 22 (December 14, 2022): 224108. http://dx.doi.org/10.1063/5.0127638.

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Topological insulators (TIs) are a new type of quantum state materials. Due to their novel physical properties, such as topological protection defect immunity to edge states, TIs have become the focus of attention in condensed matter and material physics. At present, the research on TIs has been gradually extended to classical wave fields such as electromagnetic waves, acoustic waves, and elastic waves, and has aroused extensive research interest. However, for elastic wave systems, most TIs cannot actively control topological interface states due to the limitation of fixed structure, which hinders their application in practical situations. Here, we propose a kind of tunable three-dimensional (3D) valley Hall insulator composed of magnetoelastic materials. First, the topological phase transition can be induced by the asymmetric geometry. Then, the working frequency of topological interface states can be changed by using static magnetic fields. Second, topological phase transformation can also be induced by independently tuning the distribution of static magnetic fields or pre-stress in each unit. Based on this, reconfigurable propagation routes of interface states with arbitrary shapes can be realized by tuning the distribution of static magnetic fields or pre-stress in each unit. Finally, considering the sandwich structure composed of different magnetic fields or pre-stress distribution modes, the waveguide with tunable width and route is designed by coupling edge and bulk states, which is convenient for application and better energy transfer. This study provides a reference for the design of a tunable intelligent elastic waveguide.

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Hwang, Myungwon, and Andres F. Arrieta. "Topological wave energy harvesting in bistable lattices." Smart Materials and Structures 31, no. 1 (November 26, 2021): 015021. http://dx.doi.org/10.1088/1361-665x/ac37ff.

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Abstract In this paper, we present an input-independent energy harvesting mechanism exploiting topological solitary waves. This class of medium transforming solitons, or transition waves, entails energy radiation in the form of trailing phonons in discrete bistable lattices. We observe numerically and experimentally that the most dominant frequencies of these phonons are invariant to the input excitations as long as transition waves are generated. The phonon energy at each unit cell is clustered around a single invariant frequency, enabling input-independent resonant harvesting with conventional energy transduction mechanisms. The presented mechanism fundamentally breaks the link between the unit cell size and the metamaterial’s operating frequencies, offering a broadband solution to energy harvesting that is particularly robust for low-frequency input sources. We further investigate the effect of lattice discreteness on the energy harvesting potential, observing two performance gaps and a topological wave harvesting pass band where the potential for energy conversion increases almost monotonically. The observed frequency-invariant phonons are intrinsic to the discrete bistable lattices, enabling broadband energy harvesting to be an inherent metamaterial property.

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27

Tanaka, K., Yuki Nagai, S. L. Goertzen, and Evan D. B. Smith. "Coexistence of topological charge density waves and superconductivity in a two-dimensional topological superconductor." Journal of Physics: Conference Series 969 (March 2018): 012023. http://dx.doi.org/10.1088/1742-6596/969/1/012023.

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28

Akter, Selina, Harun-Or-Roshid, and N. F. M. Noor. "New Solitons and Multishock Wave Structures for the Conformable Space Fractional Burger and Time Fractional Sharma-Tasso-Olver Models." Advances in Mathematical Physics 2022 (May 23, 2022): 1–19. http://dx.doi.org/10.1155/2022/7096486.

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This present paper studies the conformable space fractional Burgers, and the time fractional Sharma-Tasso-Olver models; both are highly important for nonlinear diffusive waves in fluid dynamics, sound waves in a viscous medium, and flow in field soils, as well as in gas and plasma dynamics. To retrieve explicit solutions of the fractional differential models, we propose an integral scheme, namely, Modified Kudryashov method. We obtain periodic, solitary, mixed periodic-soliton, and polynomial solutions through the approach. In particular, we exhibit topological kink-dark bell wave, topological kink, singular kink, bright bell, peakon solitons, and periodic shape waves to apply suitable values on parameters for both distinct models. The impact of fractionality on the wave shape and its deformation is analyzed and discussed graphically. We also investigate multishock wave’s solutions of both models and analyzed the effect of each existing parameters involved in the obtained solutions. To visualize the real characters of the solitary solutions, the graphical elucidation in 3D and 2D profiles are plotted. In computational effort and realization, it is emphasized that the proposed scheme is friendly useful, highly effective, and a powerful mathematical tool to extract exact solitary wave solutions for the differential models, as well as fractional differential models.

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29

Huang, Hongbo, Shaoyong Huo, and Jiujiu Chen. "Reconfigurable Topological Phases in Two-Dimensional Dielectric Photonic Crystals." Crystals 9, no. 4 (April 24, 2019): 221. http://dx.doi.org/10.3390/cryst9040221.

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The extensive research on photonic topological insulators has opened up an intriguing way to control electromagnetic (EM) waves. In this work, we numerically demonstrate reconfigurable microwave photon analogues of topological insulator (TIs) in a triangular lattice of elliptical cylinders, according to the theory of topological defects. Multiple topological transitions between the trivial and nontrivial photonic phases can be realized by inhomogeneously changing the ellipse orientation, without altering the lattice structure. Topological protection of the edge states and reconfigurable topological one-way propagation at microwave frequencies, are further verified. Our approach provides a new route towards freely steering light propagations in dielectric photonic crystals (PCs), which has potential applications in the areas of topological signal processing and sensing.

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30

Kurganov, Georgiy, Dmitry Dobrykh, Ekaterina Puhtina, Ildar Yusupov, Alexey Slobozhanyuk, Yuri S. Kivshar, and Dmitry Zhirihin. "Temperature control of electromagnetic topological edge states." Applied Physics Letters 120, no. 23 (June 6, 2022): 233105. http://dx.doi.org/10.1063/5.0096841.

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Topological photonics provides exceptional opportunities to control electromagnetic waves with a great potential for applications. Most of the proposed photonic systems support topological edge states with fixed parameters, thus hindering their practical applications. The study of nonlinear and tunable effects in topological systems enlarges applications of topological phenomena. Here, we propose an approach for the manipulation of photonic topological edge states based on temperature tuning. We design and demonstrate experimentally topological zigzag arrays composed of high-index resonators. The resonators are fabricated from ferroelectrics that brings an opportunity to dynamically change their permittivity by heating. We study the emergence of topological edge states in zigzag arrays of ferroelectric particles supporting the Mie resonances and demonstrate the topological transition induced by heating individual resonators in the array.

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31

Jia, Leilei, Qihuai Liu, and Shengqiang Tang. "Dynamics of Bose-Einstein Condensates: Exact Representation and Topological Classification of Coherent Matter Waves." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/156513.

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By using the bifurcation theory of dynamical systems, we present the exact representation and topological classification of coherent matter waves in Bose-Einstein condensates (BECs), such as solitary waves and modulate amplitude waves (MAWs). The existence and multiplicity of such waves are determined by the parameter regions selected. The results show that the characteristic of coherent matter waves can be determined by the “angular momentum” in attractive BECs while for repulsive BECs; the waves of the coherent form are all MAWs. All exact explicit parametric representations of the above waves are exhibited and numerical simulations support the result.

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Chen, Panpan, Cong Chen, Jianxin Xi, Xiang Du, Li Liang, Jiajia Mi, and Jianping Shi. "On-chip orbital angular momentum detection using a catenary grating metasurface." Journal of Physics D: Applied Physics 55, no. 7 (November 9, 2021): 075103. http://dx.doi.org/10.1088/1361-6463/ac3303.

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Abstract Vortex lights with optical orbital angular momentum have shown great promise in the areas of optical communication, optical manipulation and quantum optics. However, traditional methods for detecting the topological charge of vortex beams, such as interference and diffraction, are still challenging in miniaturization of the detection system and perfect matching of wave vectors. Here, a detection approach is proposed for measuring the topological charge of Laguerre–Gaussian (LG) vortex beams based on a catenary grating metasurface. According to the wave vector matching principle, the LG vortex beam can be coupled into surface plasmon polariton (SPP) waves propagating in different directions by using the well-designed catenary grating structure. The positive and negative topological charges can be distinguished by different arrangement of the catenary gratings. Additionally, the propagation angle of the launched SPP waves increases with the value of the topological charge. We believe that the proposed device would have broad application prospects in high compact photonic integrated circuits.

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33

Wang, Michael Y., Mythili Thevamaran, Michael Sabatini Mattei, Brandon G. Hacha, Gerardo Andres Mazzei Capote, Zongfu Yu, Tim Osswald, Randall H. Goldsmith, Dan J. Thoma, and Chu Ma. "Underwater ultrasonic topological waveguides by metal additive manufacturing." Applied Physics Letters 120, no. 14 (April 4, 2022): 141702. http://dx.doi.org/10.1063/5.0086951.

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Acoustic topological systems explore topological behaviors of phononic crystals. Currently, most of the experimentally demonstrated acoustic topological systems are for airborne acoustic waves and work at or below the kHz frequency range. Here, we report an underwater acoustic topological waveguide that works at the MHz frequency range. The 2D topological waveguide was formed at the interface of two hexagonal lattices with different pillar radii that were fabricated with metal additive manufacturing. We demonstrated the existence of edge stages both numerically and in underwater experiments. Our work has potential applications in underwater/biomedical sensing, energy transport, and acoustofluidics.

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34

Grinfeld, Michael. "Dynamic phase transitions: Existence of “cavitation” waves." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 107, no. 1-2 (1987): 153–63. http://dx.doi.org/10.1017/s0308210500029413.

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SynopsisIn this paper we examine the influence of capillarity on existence and uniqueness of travelling wave solutions in an isothermal system of van der Waals fluids. Existence and non-uniqueness theorems are proved using phase-space analysis and topological methods.

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35

Horn, David, and Irit Opher. "Solitary Waves of Integrate-and-Fire Neural Fields." Neural Computation 9, no. 8 (November 1, 1997): 1677–90. http://dx.doi.org/10.1162/neco.1997.9.8.1677.

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Arrays of interacting identical neurons can develop coherent firing patterns, such as moving stripes that have been suggested as possible explanations of hallucinatory phenomena. Other known formations include rotating spirals and expanding concentric rings. We obtain all of them using a novel two-variable description of integrate-and-fire neurons that allows for a continuum formulation of neural fields. One of these variables distinguishes between the two different states of refractoriness and depolarization and acquires topological meaning when it is turned into a field. Hence, it leads to a topologic characterization of the ensuing solitary waves, or excitons. They are limited to pointlike excitations on a line and linear excitations, including all the examples noted above, on a two dimensional surface. A moving patch of firing activity is not an allowed solitary wave on our neural surface. Only the presence of strong inhomogeneity that destroys the neural field continuity allows for the appearance of patchy incoherent firing patterns driven by excitatory interactions.

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36

Zhu, Wen-Fa, Hai-Yan Zhang Zhang, Meng-Yun Xu, and Guo-Peng Fan. "Lamb Waves Topological Imaging of Multiple Blind Defects in an Isotropic Plate." June 2019 24, no. 2 (June 2019): 320–26. http://dx.doi.org/10.20855/ijav.2019.24.21479.

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The study investigates the feasibility of the Lamb wave topological imaging method for detecting multiple blindholes in an isotropic plate. The topological imaging method is performed based on the computations of two wave fields, a forward and an adjoint, in the defect-free reference medium using different emitting sources. The image is computed by multiplying the forward and adjoint wave fields together and integrating them over time or frequency. The interferences of multimode aliasing and the scattering effect can thus be eliminated at the defectfree positions with an improved image resolution. To investigate the physical mechanism, the refocusing process of the multimode Lamb waves at the defect positions is presented by a face-to-face comparison between the snapshots of the forward and adjoint wave fields using the finite element simulation. The Lamb wave topological imaging method is numerically and experimentally verified to identify multiple blind-holes in an isotropic aluminium plate. The results demonstrate that the topological imaging method enables the suppression of the sartefacts resulting from the mode conversion and achieve high-resolution imaging of the blind defects

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37

Vallée, Jean-Christophe, Marie-Aude Ploix, François Baqué, Matthieu Cavaro, and Jean-François Chaix. "Edge and Notch Detection in a Plate Using Time Reversal Process of Leaky Lamb Waves." Applied Sciences 12, no. 1 (December 27, 2021): 228. http://dx.doi.org/10.3390/app12010228.

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Leaky Lamb waves are proven effective to carry out nondestructive testing especially on parallel and immersed plates. To detect and localize defects in such a set, this work associates for the first time the topological energy method and leaky Lamb waves. This methodology is applied in a single immersed plate to validate its application. Firstly, Lamb mode A1 is generated in the plate, and the reflected waves on the defect are measured. A first case is examined where the edge is considered as a defect to be localized. Then, measurements are taken on a plate where a notch is machined. The measurements are time reversed and reinjected in a finite-element simulation. The results are then correlated with the direct problem of the topological energy method that is also simulated. In both cases, the defects are precisely localized on the energy images. This work is the preliminary step to an application of the topological energy method to a set of two parallel and immersed plates where the research defect is located in the second plate.

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Zhang, Zhiwang, Ye Gu, Houyou Long, Ying Cheng, Xiaojun Liu, and Johan Christensen. "Subwavelength Acoustic Valley-Hall Topological Insulators Using Soda Cans Honeycomb Lattices." Research 2019 (August 8, 2019): 1–8. http://dx.doi.org/10.34133/2019/5385763.

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Topological valley-contrasting physics has attracted great attention in exploring the use of the valley degree of freedom as a promising carrier of information. Recently, this concept has been extended to acoustic systems to obtain nonbackscattering sound propagations. However, previous demonstrations are limited by the cut-off frequency of 2D waveguides and lattice-scale size restrictions since the topological edge states originate from Bragg interference. Here we engineer topologically valley-projected edge states in the form of spoof surface acoustic waves that confine along the surface of a subwavelength honeycomb lattice composed of 330-mL soda cans. The inversion symmetry is broken through injecting a certain amount of water into one of the two cans in each unit cell, which gaps the Dirac cone and ultimately leads to the topological valley-Hall phase transition. Dual-frequency ranges of the valley-projected edge states below the sound line are observed, which originate from the first-order and second-order resonances, respectively. These results have the potential to enable promising routes to design integrated acoustic devices based on valley-contrasting physics.

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Majid, Fayequa, Houria Triki, Tasawar Hayat, Omar M. Aldossary, and Anjan Biswas. "Solitary wave solutions of the Vakhnenko–Parkes equation." Nonlinear Analysis: Modelling and Control 17, no. 1 (January 25, 2012): 60–66. http://dx.doi.org/10.15388/na.17.1.14078.

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In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified during the derivation of the solution.

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Shi, Peng, Luping Du, and Xiaocong Yuan. "Spin photonics: from transverse spin to photonic skyrmions." Nanophotonics 10, no. 16 (October 21, 2021): 3927–43. http://dx.doi.org/10.1515/nanoph-2021-0046.

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Abstract Spin angular momentum associated with circular polarization is a fundamental and important aspect of photons both in classical and quantum optics. The interaction of this optical spin with matter and structures results in many intriguing optical effects and state-of-the-art applications covered under the emerging subject of spin optics. Distinct from longitudinal optical spin along the mean wavevector, transverse spin, the corresponding vector of which is perpendicular to the mean wavevector, prevails and plays a significant role in confined electromagnetic waves such as focused beams, guided waves, and evanescent waves. In the optical near-field, these transverse spins are generated owing to the spatial variation of the kinetic momentum of confined electromagnetic waves, where the spin and orbital angular momenta are strongly coupled, leading to many interesting topological spin structures and properties. Several reviews on optical transverse spins have been published in recent years in which their concepts and the various configurations producing them were introduced systematically. Here, we introduce in this review the underlying physics and dynamics of transverse spin and the resultant topological structures and properties such as the photonic skyrmions and merons. We term this sub-area ‘spin photonics’, its scope being to cover the design and research of spin structures in strongly confined electromagnetic fields with unique properties and applications. The concepts and framework reviewed have importance in optics, topological photonics, metrology, and quantum technologies and may be used to extend spin-dynamics concepts to fluidic, acoustic, and gravitational waves.

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Hurtado-Aviles, E. A., M. Trejo-Valdez, J. A. Torres, C. J. Ramos-Torres, H. Martínez-Gutiérrez, and C. Torres-Torres. "Photo-induced structured waves by nanostructured topological insulator Bi2Te3." Optics & Laser Technology 140 (August 2021): 107015. http://dx.doi.org/10.1016/j.optlastec.2021.107015.

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Rózsa, Levente, Markus Weißenhofer, and Ulrich Nowak. "Spin waves in skyrmionic structures with various topological charges." Journal of Physics: Condensed Matter 33, no. 5 (February 3, 2020): 054001. http://dx.doi.org/10.1088/1361-648x/abc404.

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Li, Jing, Jian Wang, Shiqiao Wu, and Jun Mei. "Pseudospins and topological edge states in elastic shear waves." AIP Advances 7, no. 12 (December 2017): 125030. http://dx.doi.org/10.1063/1.5010754.

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Hayashi, Masahiko, and Hideo Yoshioka. "Topological Dislocations and Mixed State of Charge Density Waves." Physical Review Letters 77, no. 16 (October 14, 1996): 3403–6. http://dx.doi.org/10.1103/physrevlett.77.3403.

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Liu, Jiangen, Yufeng Zhang, and Yan Wang. "Topological soliton solutions for three shallow water waves models." Waves in Random and Complex Media 28, no. 3 (September 7, 2017): 508–15. http://dx.doi.org/10.1080/17455030.2017.1367437.

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Guzina, B. B. "Topological derivative for the inverse scattering of elastic waves." Quarterly Journal of Mechanics and Applied Mathematics 57, no. 2 (May 1, 2004): 161–79. http://dx.doi.org/10.1093/qjmam/57.2.161.

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Kartashov, Yaroslav V., and Dmitry V. Skryabin. "Modulational instability and solitary waves in polariton topological insulators." Optica 3, no. 11 (October 24, 2016): 1228. http://dx.doi.org/10.1364/optica.3.001228.

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Deymier, P. A., and K. Runge. "Revealing topological attributes of stiff plates by Dirac factorization of their 2D elastic wave equation." Applied Physics Letters 120, no. 8 (February 21, 2022): 081701. http://dx.doi.org/10.1063/5.0086559.

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Dirac factorization of the elastic wave equation of two-dimension stiff plates coupled to a rigid substrate reveals the possible topological properties of elastic waves in this system. These waves may possess spin-like degrees of freedom associated with a gapped band structure reminiscent of the spin Hall effect. In semi-infinite plates or strips with zero displacement edges, the Dirac-factored elastic wave equation shows the possibility of edge modes moving in opposite directions. The finite size of strips leads to overlap between edge modes consequently opening a gap in their spectrum eliminating the spin Hall-like effects. This Dirac factorization tells us what solutions of the elastic wave equation would be if we could break some symmetry. Dirac factorization does not break symmetry but simply exposes what topological properties of elastic waves may result from symmetry breaking structural or external perturbations.

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Leclerc, Armand, Guillaume Laibe, Pierre Delplace, Antoine Venaille, and Nicolas Perez. "Topological Modes in Stellar Oscillations." Astrophysical Journal 940, no. 1 (November 1, 2022): 84. http://dx.doi.org/10.3847/1538-4357/ac99d9.

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Abstract Stellar oscillations can be of topological origin. We reveal this deep and so far hidden property of stars by establishing a novel parallel between stars and topological insulators. We construct an Hermitian problem to derive the expression of the stellar acoustic–buoyant frequency S of nonradial adiabatic pulsations. A topological analysis then connects the changes of sign of the acoustic–buoyant frequency to the existence of Lamb-like waves within the star. These topological modes cross the frequency gap and behave as gravity modes at low harmonic degree ℓ and as pressure modes at high ℓ. S is found to change sign at least once in the bulk of most stellar objects, making topological modes ubiquitous across the Hertzsprung–Russell diagram. Some topological modes are also expected to be trapped in regions where the internal structure varies strongly locally.

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Zhu, Wenfa, Yujie Zhang, Guopeng Fan, Haiyan Zhang, and Shao Wei. "Time-domain topological energy imaging with ultrasonic Lamb waves considering multiple defects." Insight - Non-Destructive Testing and Condition Monitoring 62, no. 4 (April 1, 2020): 208–15. http://dx.doi.org/10.1784/insi.2020.62.4.208.

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This study presents a fast imaging approach with ultrasonic Lamb waves based on time-domain topological energy to identify multiple defects with defect spacing smaller than the threshold of the Rayleigh criterion in terms of imaging resolution. The direct acoustical field and time-domain topological energy of the two fields are used as imaging functions when considering the calculation of direct and adjoint acoustical fields in a non-defective reference medium on the basis of topological theory. The functions are not limited by acoustic diffraction and can achieve super-resolution imaging with multiple defects. First, a 3D finite element model is established. Transient acoustic field diagrams at different moments are used to show the focusing process of direct and adjoint acoustical fields clearly with multiple defects, thereby revealing the physical mechanism of time-domain topological energy imaging. Second, the effectiveness of the proposed approach to characterise multiple defects when the defect spacing is smaller than the imaging resolution threshold is verified through numerical simulation. Finally, the feasibility of super-resolution imaging considering multiple defects is proven by conducting experiments on aluminium plate samples with multiple defects under different defect spacing conditions. Numerical simulation and experimental results show that the proposed approach can overcome the problem of multiple defects with defect spacing smaller than the imaging resolution threshold by breaking the Rayleigh criterion constraint, while the accuracy presented is higher than that of the traditional delay-and-sum method.

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