We describe the breathing dynamics of the self-similar core and the oscillating tails of a dispersion-managed (DM) soliton. The path-averaged propagation equation governing the shape of the DM soliton in an arbitrary dispersion map is derived. The developed theory correctly predicts the locations of the dips in the tails of the DM soliton. A general solution of the propagation equation is presented in terms of chirped Gauss-Hermite orthogonal functions.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1364/ol.23.001351 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Self-Similar Ligand for 2D Zr(IV)-Based Metal-Organic Frameworks: Fluorescent Sensing and Catalysis.
Inorg Chem
December 2024
Institute of Materials Research and Engineering (IMRE), Agency of Science, Technology and Research (A*STAR), 2 Fusionopolis Way, Singapore 138634, Republic of Singapore.
Two-dimensional (2D) metal-organic framework sheets, in comparison to the 3D analogues, offer potential advantages for intercalation of guest components between the layers, exfoliation/dispersion into solutions, and processing into thin films. As a versatile platform for leveraging organic functions, the 2D Zr(IV)-carboxylate net here features a dendritic Sierpinski tritopic linker with conjugated alkyne branches and a photoactive triphenylamine core. The 2D solid can be easily dispersed in water and many other solvents, resulting in stable and fluorescent suspension for sensing nitro aromatic compounds and Fe ions with high quenching efficiencies and ultralow limits of detection.
View Article and Find Full Text PDFGrowth of a Tessellation: Geometric rules for the Development of Stingray Skeletal Patterns.
Adv Sci (Weinh)
December 2024
Max Planck Institute of Colloids and Interfaces, Potsdam Science Park, Am Mühlenberg 1 OT Golm, 14476, Potsdam, Germany.
The skeletons of sharks and rays, fashioned from cartilage, and armored by a veneer of mineralized tiles (tesserae) present a mathematical challenge: How can the continuous covering be maintained as the skeleton expands? This study, using microCT and custom visual data analyses of growing stingray skeletons, systematically examines tessellation patterns and morphologies of the many thousand interacting tesserae covering the hyomandibula (a skeletal element critical to feeding), over a two-fold developmental change in hyomandibula length. The number of tesserae remains surprisingly constant, even as the hyomandibula expands isometrically, with all hyomandibulae displaying self-similar distributions of tesserae shapes/sizes. Although the distribution of tesserae geometries largely agrees with the rules for polyhedra tiling of complex surfaces-dominated by hexagons and a minor fraction of pentagons and heptagons, but very few other polygons-the agreement with Euler's classic mathematical laws is not perfect.
View Article and Find Full Text PDFOxidation-Induced Oxide Shell Rupture and Phase Separation in Eutectic Gallium-Indium Nanoparticles.
ACS Nano
September 2024
Department of Mechanical Engineering & Materials Science and Engineering Program, State University of New York at Binghamton, Binghamton, New York 13902, United States.
Eutectic gallium-indium (EGaIn), a room-temperature liquid metal, has garnered significant attention for its applications in soft electronics, multifunctional materials, energy engineering and drug delivery. A key factor influencing these diverse applications is the spontaneous formation of a native passivating oxide shell that not only encapsulates the liquid metal but also alters the properties from the bulk counterpart. Using environmental scanning transmission electron microscopy, we report observations of the oxidation of EGaIn nanoparticles by ambient air under high-energy electron beam irradiation.
View Article and Find Full Text PDFSelf-Similar Growth of Bose Stars.
Phys Rev Lett
March 2024
Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia.
Article Synopsis
- The study provides an analytical solution for Bose star growth within a system of gravitationally interacting particles.
- After the formation of the Bose star, the surrounding particle bath follows a self-similar behavior described by a kinetic equation, which influences the mass changes of the star.
- The findings not only clarify why star growth slows down at a specific mass but also suggest the potential formation of various mass objects in dark matter scenarios.
Band conductivity oscillations in a gate-tunable graphene superlattice.
Nat Commun
May 2022
Institute of Experimental and Applied Physics, University of Regensburg, D-93040, Regensburg, Germany.
Electrons exposed to a two-dimensional (2D) periodic potential and a uniform, perpendicular magnetic field exhibit a fractal, self-similar energy spectrum known as the Hofstadter butterfly. Recently, related high-temperature quantum oscillations (Brown-Zak oscillations) were discovered in graphene moiré systems, whose origin lies in the repetitive occurrence of extended minibands/magnetic Bloch states at rational fractions of magnetic flux per unit cell giving rise to an increase in band conductivity. In this work, we report on the experimental observation of band conductivity oscillations in an electrostatically defined and gate-tunable graphene superlattice, which are governed both by the internal structure of the Hofstadter butterfly (Brown-Zak oscillations) and by a commensurability relation between the cyclotron radius of electrons and the superlattice period (Weiss oscillations).
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!