Related Experiment Video
Updated: Apr 28, 2026

07:42
Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
2.5K
Lattice surface solitons in diffusive nonlinear media driven by the quadratic electro-optic effect
Optics Express
|June 13, 2014
Summary
We theoretically investigated surface lattice solitons in nonlinear optical media. Stable surface solitons exist for self-focusing nonlinearity, while self-defocusing nonlinearity yields unstable twisted solitons and stable gap solitons.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Photonics
Background:
- Surface solitons are localized nonlinear waves at interfaces.
- Optical lattices create periodic potentials for light propagation.
- Quadratic electro-optic effects influence light-matter interactions.
Purpose of the Study:
- To theoretically investigate surface lattice solitons.
- To analyze their stability under different nonlinear conditions.
- To explore their behavior at the interface of optical lattices and diffusive nonlinear media.
Main Methods:
- Theoretical analysis using nonlinear wave equations.
- Numerical simulations to confirm stability properties.
- Investigation of self-focusing and self-defocusing saturable nonlinearities.
Main Results:
- Stable surface solitons are formed in the semi-infinite gap for self-focusing nonlinearity.
- For self-defocusing nonlinearity, stable surface gap solitons and unstable twisted solitons are predicted.
- Surface gap solitons exhibit stable propagation except near the Bloch band edge.
Conclusions:
- The type of nonlinearity significantly impacts surface lattice soliton behavior and stability.
- Stable surface gap solitons offer potential for optical device applications.
- Understanding soliton dynamics is crucial for designing advanced photonic systems.
Related Concept Videos
Trends in Lattice Energy: Ion Size and Charge
23.3K
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:
23.3K
Bewley Lattice Diagram
1.6K
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.
1.6K
Electrostatic Boundary Conditions in Dielectrics
2.1K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....
2.1K
Gauss's Law in Dielectrics
5.8K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
5.8K
Poisson's And Laplace's Equation
4.3K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
4.3K
The Electrical Double Layer
224
In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...
224

