Related Experiment Video
Updated: Jul 16, 2025
14:18
Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
Published on: February 28, 2016
11.5K
Azimuthons induced by degenerate linear eigenmodes and their conversions under nonlinear modulation.
Optics Express
|September 15, 2023
Summary
This study presents a method for generating azimuthons in nonlinear Kerr media. Azimuthon conversions, including Rabi oscillations, are demonstrated through nonlinear modulation, with direct conversion effective for neighboring states.
Area of Science:
- Nonlinear optics
- Mathematical physics
Background:
- Azimuthons are complex light structures in nonlinear optical media.
- Understanding their generation and dynamics is crucial for optical technologies.
Purpose of the Study:
- To present a novel method for generating azimuthons.
- To investigate the conversion dynamics between different azimuthon states.
Main Methods:
- Theoretical analysis of azimuthon formation in a nonlinear Kerr medium.
- Utilizing longitudinal nonlinear modulation to induce conversions.
- Investigating resonance conditions for direct conversion.
Main Results:
- Azimuthons are described as combinations of modulated linear eigenmodes with a propagation constant shift.
- Direct conversion between neighboring azimuthons is achieved under resonance, exhibiting Rabi oscillation.
- Conversion between non-neighboring azimuthons is less efficient, requiring cascaded modulation.
Conclusions:
- The proposed method effectively generates azimuthons.
- Resonance-driven Rabi oscillations facilitate direct conversion between adjacent azimuthon states.
- Cascaded modulation is necessary for efficient conversion of non-neighboring azimuthons.
Related Concept Videos
01:03Modes of Standing Waves - I
2.9K
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...
2.9K
01:21Linear Approximation in Time Domain
99
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
99
01:26Linear Approximation in Frequency Domain
109
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....
109
01:11Atomic Nuclei: Larmor Precession Frequency
1.5K
The earth's gravitational field produces a 'twisting force' perpendicular to the angular momentum of a spinning mass (such as a spinning top) that causes the mass to 'wobble' around the gravitational field axis in a phenomenon called precession. Similarly, the magnetic moment (μ) of a spinning nucleus precesses due to an external magnetic field directed along the z-axis. The precession of the magnetic moment vector about the magnetic field is called Larmor precession,...
1.5K
01:28Induced Electric Dipoles
4.3K
A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
4.3K
01:23Transfer function and Bode Plots-II
373
In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
373