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Related Concept Videos

Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Lattice Energies of Ionic Crystals01:27

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
Equipotential Surfaces and Field Lines01:29

Equipotential Surfaces and Field Lines

Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere. The equipotential surface is always perpendicular to the electric field lines, and while it is three-dimensional, it can be treated as an equipotential line in a two-dimensional case. These equipotential lines are also always perpendicular to electric field lines. The term equipotential is often used as a noun, referring to an equipotential line or...
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This substitution...

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Related Experiment Video

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Visualizing Surface T-Cell Receptor Dynamics Four-Dimensionally Using Lattice Light-Sheet Microscopy
09:24

Visualizing Surface T-Cell Receptor Dynamics Four-Dimensionally Using Lattice Light-Sheet Microscopy

Published on: January 30, 2020

Two-color surface lattice solitons.

Zhiyong Xu1, Yuri S Kivshar

  • 1Nonlinear Physics Center, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT, Australia. xzy124@rsphysse.anu.edu.au

Optics Letters
|November 4, 2008
PubMed
Summary
This summary is machine-generated.

Researchers explored two-color surface lattice solitons in nonlinear quadratic media. Novel stable twisted solitons were discovered, demonstrating robustness across a wide range of conditions.

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Area of Science:

  • Nonlinear optics
  • Photonics
  • Condensed matter physics

Background:

  • Surface solitons are localized light structures at the interface of nonlinear media and a periodic potential.
  • Photonic lattices provide a versatile platform for controlling light propagation.
  • Nonlinear quadratic media exhibit unique light-matter interactions crucial for soliton formation.

Purpose of the Study:

  • To investigate the properties of two-color surface solitons in semi-infinite photonic lattices.
  • To analyze the influence of phase mismatch on the stability and existence of nonlinear surface modes.
  • To identify and characterize novel classes of two-color twisted surface solitons.

Main Methods:

  • Numerical simulations of light propagation in nonlinear quadratic media.
  • Analysis of phase mismatch effects on soliton dynamics.
  • Characterization of soliton stability through parameter space exploration.

Main Results:

  • Existence and stability analysis of two-color surface lattice solitons.
  • Discovery of novel classes of two-color twisted surface solitons.
  • Identification of a large domain of stability for these novel soliton types.

Conclusions:

  • Two-color surface lattice solitons exhibit complex behaviors influenced by phase mismatch.
  • Novel stable twisted surface solitons represent a significant finding in nonlinear photonics.
  • The discovered stable solitons have potential applications in all-optical devices and light manipulation.