Related Experiment Video
Updated: May 7, 2026
14:18
Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
Published on: February 28, 2016
11.0K
Discrete localized modes supported by an inhomogeneous defocusing nonlinearity
Goran Gligorić1, Aleksandra Maluckov, Ljupčo Hadžievski
1P* Group, Vinča Institute of Nuclear Sciences, University of Belgrade, P.O.B. 522, 11001 Belgrade, Serbia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 16, 2013
Summary
Stable unstaggered bright solitons are found in lattices with rapidly growing nonlinearity, unlike uniform lattices. These novel solitons coexist with other localized modes and have potential applications in optics and condensates.
Area of Science:
- Nonlinear physics
- Optical physics
- Condensed matter physics
Background:
- Spatially uniform nonlinear lattices typically support stable localized modes.
- The existence of unstaggered discrete bright solitons is limited in uniform self-defocusing lattices.
Purpose of the Study:
- To investigate the existence and stability of discrete solitons in spatially inhomogeneous nonlinear lattices.
- To explore novel soliton solutions not found in uniform lattice systems.
Main Methods:
- Numerical simulations were employed to find soliton solutions.
- Variational approximation (VA) was used for theoretical analysis.
- Exact solutions were derived for surface solitons in semi-infinite systems.
Main Results:
- Stable unstaggered (UnST) discrete bright solitons exist in lattices with rapidly increasing self-defocusing (SDF) nonlinearity.
- These UnST solitons coexist with stable staggered (ST) localized modes.
- The threshold norm for UnST surface solitons vanishes in inhomogeneous systems, unlike in uniform lattices.
Conclusions:
- Spatially inhomogeneous nonlinearity is key to supporting novel stable discrete bright solitons.
- The findings extend to self-focusing lattices and have implications for optical waveguide arrays and Bose-Einstein condensates.
Related Concept Videos
01:26Linear Approximation in Frequency Domain
505
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
505
01:19Limits with Oscillating Discontinuities
650
An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the...
650
01:16Confocal Fluorescence Microscopy
16.0K
Confocal microscopy is an advanced microscopic technique. The prime advantage of the confocal microscope over other microscopy techniques is its ability to block the out-of-focus light from the illuminated samples using pinholes. It is widely used with fluorescence optics to obtain high-resolution, sharp contrast images. Unlike optical microscopes, confocal microscopes use a focused beam of light laser to scan the entire sample surface at different z-planes. These microscopes are, therefore,...
16.0K
01:03Modes of Standing Waves - I
3.3K
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...
3.3K
01:28Standing Waves in a Cavity
1.7K
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:
1.7K
01:20Region of Convergence of Laplace Tarnsform
1.4K
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...
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...
1.4K