Related Experiment Video
Updated: Jun 22, 2026
08:48
Low-cost Custom Fabrication and Mode-locked Operation of an All-normal-dispersion Femtosecond Fiber Laser for Multiphoton Microscopy
Published on: November 22, 2019
Multipole-mode solitons in Bessel optical lattices
Optics Express
|June 9, 2009
Summary
We investigated stable multipole-mode solitons in Bessel lattices. These solitons exist in different lattice rings and form multi-ring structures at high powers.
Area of Science:
- Nonlinear optics
- Optical physics
- Soliton dynamics
Background:
- Solitons are self-reinforcing light waves that maintain their shape.
- Bessel lattices offer unique potential for guiding and controlling light propagation.
- Understanding soliton behavior in complex potentials is crucial for optical technologies.
Purpose of the Study:
- To investigate the fundamental properties of quiescent and rotating multipole-mode solitons.
- To determine the stability conditions for these solitons within Bessel lattices.
- To explore the structural characteristics of solitons under varying power conditions.
Main Methods:
- Numerical simulations of nonlinear wave propagation.
- Analysis of soliton stability through eigenvalue problems.
- Investigation of soliton behavior in defocusing nonlinear media with Bessel lattices.
Main Results:
- Multipole-mode solitons were successfully identified in various rings of the Bessel lattice.
- Soliton stability was confirmed for propagation constants exceeding a critical value, dependent on lattice depth.
- A distinct multi-ring structure emerged for solitons in the high-power limit.
Conclusions:
- Axially symmetric Bessel lattices can support stable multipole-mode solitons.
- The stability and structure of these solitons are governed by the propagation constant and lattice properties.
- High-power solitons exhibit complex multi-ring configurations, offering potential for advanced optical applications.
Related Concept Videos
01:20Bessel Function of Order Zero
A common physical example of wave propagation with radial symmetry is the ripple formed when a stone is dropped into a still pond. The disturbance originates at a central point and travels outward as a circular wave. As the radius of the wavefront increases, the same initial energy is distributed along a progressively larger circumference. Consequently, the amplitude, or height, of the wave decreases with distance from the center. This decay behavior cannot be captured by simple sine or cosine...
01:28Symmetry in Maxwell's Equations
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
01:03Modes of Standing Waves - I
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
01:04Modes of Standing Waves: II
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
01:28Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
01:25Poisson's And Laplace's Equation
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.