Article
Engineering, Electrical & Electronic
Kurt Schab
Summary: Characteristics modes on infinite periodic structures are analyzed using spectral dyadic Green's functions. Unlike finite structures, the number of radiating characteristic modes is limited by unit cell size and incident wave vector. Modal contributions from radiating modes are decomposed in the reflection tensor, indicating that characteristic modes provide a predictably sparse basis for studying reflection phenomena.
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
(2022)
Article
Multidisciplinary Sciences
Shrouk E. Zaki, Mohamed A. Basyooni
Summary: Ultra-sensitive greenhouse gas sensors based on Fano resonance modes have been developed using periodic and quasi-periodic phononic crystal structures. The FC(7, 1) quasi-periodic structure showed the highest sensitivity for CO2, N2O, and CH4 gases and exhibited sharp Fano resonance modes, leading to high resonance frequency, sensitivity, quality factor, and figure of merit values. Additionally, the temperature effect on Fano resonance modes for CH4 gas was investigated in detail, showing the highest sensitivity at 70 degrees C and highest Q and FOM values at 100 degrees C.
SCIENTIFIC REPORTS
(2022)
Article
Physics, Applied
Denis Fateev, Olga Polischuk, Konstantin Mashinsky, Ilya M. Moiseenko, Mikhail Yu Morozov, Viacheslav V. Popov
Summary: The study theoretically investigates the achievement of the laser regime by excitation of weak plasmon modes in structures based on active graphene, and proposes the use of weak plasmon modes with low radiative damping to decrease the threshold for the laser plasmon regime in periodic graphene structures.
PHYSICAL REVIEW APPLIED
(2021)
Article
Computer Science, Information Systems
Chia Ho Wu, Zhenyu Qian, Wei Wang, Jianqi Shen, Xianqing Lin, Li-Yi Zheng, Fang He, Xiaolong Wang, Zhuoyuan Wang, Song Tsuen Peng, Guobing Zhou, Linfang Shen, Yun You, Hang Zhang
Summary: To observe the conversion between guided-wave modes and leaky-wave modes, quadrilateral periodic metal diaphragms arranged in two ways on metal surfaces were analyzed. The dispersion characteristics of the periodic structures were studied by adjusting the lattice constants and geometrical parameters. The experimentally measured results demonstrated the conversion and the frequency dependence of beam elevation.
Article
Physics, Multidisciplinary
Zhesen Yang, Qinghong Yang, Jiangping Hu, Dong E. Liu
Summary: In this study, a realistic Floquet topological superconductor system was investigated, showing that the presence of dissipative behavior in the Floquet Majorana wire is influenced by the superconducting proximity effect. The study also proposed an effective model to simplify calculations of the lifetime of Floquet Majoranas, with findings indicating that the lifetime can be manipulated by external driving fields.
PHYSICAL REVIEW LETTERS
(2021)
Article
Engineering, Aerospace
H. G. Abdelwahed, E. K. El-Shewy, Mahmoud A. E. Abdelrahman, A. A. El-Rahman
Summary: New closed forms of rational, trigonometric, periodical, explosive, hyperbolic, and shock solutions have been revealed in the ionosphere plasma of Earth. By using the Riccati-Bernoulli sub-ODE process to solve the MKP equation, researchers explored the nonextensive impacts on the features of nonlinear waves in this plasma model. The obtained new potential solutions are important achievements in plasma observations and applications in the ionosphere.
ADVANCES IN SPACE RESEARCH
(2021)
Article
Mathematics, Applied
Goncalo A. S. Dias
Summary: The trapping phenomenon of linear water waves by infinite arrays of three-dimensional fixed periodic structures in a two-layer fluid is investigated. The layers have a common interface and move with independent velocities relative to the ground. The existence of real solutions to the dispersion relation requires a stability condition on the layer velocities. A variational formulation leads to a nonlinear spectral problem, and a geometric condition derived from sensible linearization ensures the existence of trapped modes. Symmetries reduce the global problem to the first quadrant of the velocity space. Examples of obstacle configurations independent of the layer velocities are presented, and suggestions for future developments are made.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Engineering, Mechanical
Zongbing Chen, Qianqian Wu, Haotian Yang, Lihong Yang, Jian Xiong
Summary: In this study, a self-locking periodic system composed of corrugated tubes is proposed to enhance the energy absorption efficiency by suppressing lateral splashing. The corrugated tubes exhibit high material utilization ratio and specific energy absorption. The effects of key geometrical parameters are investigated, providing insights for developing energy absorption metamaterials.
INTERNATIONAL JOURNAL OF IMPACT ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Tom Morel, Christophe Mora
Summary: The study reveals that introducing different periodicities into a Josephson junction in a resistor environment can lead to competition between different phases, resulting in nonmonotonic temperature dependence of the differential resistance. This phenomenon is particularly significant at low temperatures and can be confirmed by fermionization and models such as helical wires.
Article
Mathematics, Applied
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
Summary: We present a constructive approach to demonstrate the existence of quasiperiodic solutions in non-perturbative regimes of dissipative systems. The method involves selecting a drift parameter and establishing a quantitative theorem. Numerical results are provided to verify the accuracy of the approach and illustrate its applicability to various examples. The study also offers an efficient algorithm and corresponding routines for verification.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Materials Science, Multidisciplinary
Libo Men, Yilin Yu, Zhaoyang Hou, Xiao Li, Zhengjin Wang
Summary: This study investigates the cracking modes in layered hyperelastic structures composed of brittle films bonded to tougher substrates. It is found that surface cracks initially penetrate through the thickness of the film and are followed by crack channeling and interface debonding as stretch increases. The sequence of cracking modes is determined by the ratio of interfacial debonding energy to fracture energy of the film. This work establishes critical conditions for different cracking modes and provides a pathway to design cracking-resistant stretchable devices.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Physics, Multidisciplinary
Simon B. Jaeger, Tom Schmit, Giovanna Morigi, Murray J. Holland, Ralf Betzholz
Summary: We present a general approach to derive Lindblad master equations for subsystems coupled to dissipative bosonic modes. We apply this approach to the dissipative Dicke model and successfully predict the Dicke phase transition and quantum metastability. The performance of our formalism is validated by comparing with exact diagonalization and numerical integration results.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Applied
Renato Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
Summary: We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. The paper presents the background, assumptions, and numerical methods used to compute the attractors close to the breakdown threshold. The authors hope that their work can stimulate further research in computer-assisted proofs.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Physics, Multidisciplinary
Vo Tien Phong, E. J. Mele
Summary: This study investigates the properties of single-layer graphene under periodic lateral strains, finding that it can form boundary spectra with intrinsic polarity. By comparing the effects of periodic magnetic fields and strain-induced pseudomagnetic fields, the analysis explores their impact on time-reversal symmetry.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Interdisciplinary Applications
A. M. Cabanas, J. A. Velez, L. M. Perez, P. Diaz, M. G. Clerc, D. Laroze, B. A. Malomed
Summary: Discrete dissipative coupled systems exhibit complex behaviors, such as chaos and chimeras. This study investigates chimeras in a chain of parametrically driven sites with onsite damping and cubic nonlinearity. The research reveals regions in the parameter space populated by stable localized states of different types, and identifies a phase transition from stationary disordered states to spatially confined dynamical chaotic states.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Boquan Ren, Yaroslav Kartashov, Hongguang Wang, Yongdong Li, Yiqi Zhang
Summary: Topological edge states can form in periodic materials with specific degeneracies in their modal spectra under the breaking of certain symmetries. Unconventional topological edge states can exist in Floquet insulators based on arrays of helical waveguides with hybrid edges, even if the hybrid edges are long. These edge states are topologically protected and persist in the presence of focusing nonlinearity of the material, expanding the variety of geometrical shapes in which topological insulators can be constructed.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Optics
Sergey K. Ivanov, Yaroslav V. Kartashov
Summary: We investigate the generation of topological edge solitons in rotating Su-Schrieffer-Heeger waveguide arrays. The linear spectrum of the non-rotating topological array is characterized by a topological gap containing two edge states. Rotation of the array alters the spectrum and can displace these edge states from the topological gap. However, defocusing nonlinearity can bring them back into the gap and give them the typical tail structure of topological edge states. We present a diverse bifurcation structure for rotating topological solitons and demonstrate their potential stability.
Article
Optics
Boquan Ren, Hongguang Wang, Yaroslav V. Kartashov, Yongdong Li, Yiqi Zhang
Summary: Higher-order topological insulators can support topologically protected states with lower dimensionality than the structure itself. This study presents the bifurcation of nonlinear photonic disclination states in disclination lattices with pentagonal or heptagonal cores. Nonlinearity allows for tuning the states' location and affects their shapes. The stability of these nonlinear topological states depends on the structure of the disclination lattice.
Article
Optics
Salim B. Ivars, Yaroslav V. Kartashov, P. Fernandez de Cordoba, J. Alberto Conejero, Lluis Torner, Carles Milian
Summary: By manipulating the pump beam in two-dimensional cylindrical microcavities, it is possible to achieve broadband and perfectly synchronized two-dimensional frequency combs. We have discovered a new type of nonlinear waves, called photonic snake states, which exist in the hyperbolic regime of cylindrical microresonators and exhibit spectral heterogeneity and intrinsic synchronization. These photonic snakes are robust against perturbations and provide a new paradigm for frequency comb generation with potential applications in communications, metrology, and spectroscopy.
Article
Optics
Sergey K. Ivanov, Vladimir V. Konotop, Yaroslav Kartashov, Lluis Torner
Summary: We demonstrate the existence of different types of vortex solitons in self-focusing Kerr media using optical moire lattices. We study the properties of these states in lattices with commensurate and incommensurate geometries, and in both the localization and delocalization regimes. The formation of vortex solitons strongly depends on the twist angle, and their power exhibits intervals of nearly linear function with the propagation constant, showing a high level of stability. Moreover, stable embedded vortex solitons are found in the incommensurate phase above the localization-delocalization transition.
Article
Physics, Multidisciplinary
A. A. Arkhipova, Y. V. Kartashov, S. K. Ivanov, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, S. P. Kulik, V. O. Kompanets, S. V. Chekalin, F. Ye, V. V. Konotop, L. Torner, V. N. Zadkov
Summary: We observe both linear and nonlinear light localization at the edges and corners of truncated moire' arrays composed of periodic mutually twisted square sublattices at Pythagorean angles. By exciting corner linear modes in femtosecond-laser written moire' arrays, we find significant differences in their localization properties compared to bulk excitations. We also investigate the effect of nonlinearity on corner and bulk modes and experimentally observe the transition from linear quasilocalized states to surface solitons at higher input powers. Our results represent the first experimental demonstration of localization phenomena induced by truncation of periodic moire' structures in photonic systems.
PHYSICAL REVIEW LETTERS
(2023)
Article
Mathematics, Interdisciplinary Applications
Sergey K. Ivanov, Yaroslav V. Kartashov
Summary: This paper investigates the existence and stability of pi-solitons on a ring of periodically oscillating waveguides. The longitudinal oscillations of the waveguides lead to the emergence of anomalous topological pi-modes at both ends of the structure, resulting in the formation of previously unexplored in-phase and out-of-phase pi-modes. The properties and stability of these topological solitons depend on the size of the ring and the spacing between the two ends of the array.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Yaroslav Kartashov
Summary: In this study, we investigate vortex solitons in large-scale arrays composed of N elliptical waveguides. By adjusting the twist angles between neighboring waveguides, we can change the discrete rotational symmetry of the array, which affects the properties and stability of the vortex solitons.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Optics
Sergey K. Ivanov, Sergei A. Zhuravitskii, Nikolay N. Skryabin, Ivan V. Dyakonov, Alexander A. Kalinkin, Sergei P. Kulik, Yaroslav V. Kartashov, Vladimir V. Konotop, Victor N. Zadkov
Summary: The study demonstrates the macroscopic Zeno effect in a topological photonic system, where the decay of certain subspace of edge modes in the system is suppressed, independent of the existence of exceptional points. By introducing controlled losses, the transparency of the system with respect to the topological modes increases, while coupling a topological array with a non-topological one results in a monotonic decrease in output power with increasing absorption. This effect is strongly dependent on the intricate topology of the system and remains robust against disorder, providing potential applications for light control in non-Hermitian systems.
LASER & PHOTONICS REVIEWS
(2023)
Article
Physics, Multidisciplinary
Yifan Sun, Pedro Parra-Rivas, Carles Milian, Yaroslav Kartashov, Mario Ferraro, Fabio Mangini, Raphael Jauberteau, Francesco R. Talenti, Stefan Wabnitz
Summary: This study presents a general approach to exciting stable dissipative three-dimensional and high-order solitons and breathers in passively driven nonlinear cavities. A paradigmatic example is used to illustrate the findings, showing that three-dimensional solitons or light bullets are the only stable states that exist under specific parameters. This rare property in passive nonlinear systems allows for deterministic formation of target solitons or breathers.
PHYSICAL REVIEW LETTERS
(2023)
Article
Optics
Boquan Ren, Antonina A. A. Arkhipova, Yiqi Zhang, Yaroslav V. V. Kartashov, Hongguang Wang, Sergei A. A. Zhuravitskii, Nikolay N. N. Skryabin, Ivan V. V. Dyakonov, Alexander A. A. Kalinkin, Sergei P. P. Kulik, Victor O. O. Kompanets, Sergey V. V. Chekalin, Victor N. N. Zadkov
Summary: The introduction of controllable deformations into periodic materials that lead to disclinations has allowed for the construction of higher-order topological insulators hosting topological states at disclinations. In this study, nonlinear photonic disclination states were observed in waveguide arrays with pentagonal or heptagonal disclination cores inscribed in a transparent optical medium. The transition between nontopological and topological phases in these structures is controlled by the Kekule distortion coefficient, and the spatial localization of the disclination states can be controlled by their power. This observation opens up new prospects for investigating nonlinear effects in topological systems with disclinations.
LIGHT-SCIENCE & APPLICATIONS
(2023)
Article
Physics, Applied
Shuang Shen, Yaroslav Kartashov, Yongdong Li, Yiqi Zhang
Summary: We demonstrate the existence of two coexisting types of topological Floquet edge states in one-dimensional Floquet trimer arrays with periodically oscillating waveguides, within two different topological gaps in the Floquet spectrum. These edge states arise due to the introduction of nontrivial topology through longitudinal periodic oscillations of the waveguide centers. We further show that both types of linear edge states can give rise to stable topological Floquet edge solitons in a focusing nonlinear medium, and these solitons can be dynamically created using local excitations.
PHYSICAL REVIEW APPLIED
(2023)
Article
Nanoscience & Nanotechnology
Boquan Ren, Yaroslav V. Kartashov, Lukas J. Maczewsky, Marco S. Kirsch, Hongguang Wang, Alexander Szameit, Matthias Heinrich, Yiqi Zhang
Summary: We study linear and nonlinear higher-order topological insulators based on fractal waveguide arrays. These fractal structures have discrete rotational symmetries and multiple internal edges and corners in their optical potential landscape, and lack an insulating bulk. By systematically shifting the waveguides in the fractal arrays, we can form topological corner states at the outer corners of the array. These corner states can be efficiently excited by injecting Gaussian beams into the outer corner sites of the fractal arrays.
Article
Optics
Sergey K. Ivanov, Yaroslav V. Kartashov, Lluis Torner
Summary: We introduce a new type of thresholdless three-dimensional soliton states in higher-order topological insulators based on a Su-Schrieffer-Heeger array of coupled waveguides. These structures have a topological gap with corner states in their linear spectrum. We find that a focusing Kerr nonlinearity allows stable three-dimensional solitons to exist, which inherit topological protection from the linear corner states and can survive in the presence of disorder. The spatial localization and temporal widths of these solitons depend on the array dimerization and they reduce instabilities caused by higher-order effects.
