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Bilateral symmetry breaking in nonlinear circular cylinders
Optics Express
|January 22, 2015
Summary
This study reveals symmetry breaking in nonlinear optics using simple circular cylinders. It
Area of Science:
- Nonlinear optics
- Mathematical physics
Background:
- Symmetry breaking is a known phenomenon in nonlinear systems.
- Previous studies in nonlinear optics often used simplified models.
- Temporal coupled mode theories have also been employed.
Purpose of the Study:
- To rigorously investigate symmetry breaking in simple nonlinear optical systems.
- To analyze the scattering of plane waves by circular cylinders with Kerr nonlinearity.
- To demonstrate solutions that break lateral reflection symmetry.
Main Methods:
- Analysis of plane wave scattering.
- Modeling of one and two circular cylinders with Kerr nonlinearity.
- Numerical simulations to observe symmetry breaking.
Main Results:
- Demonstrated the existence of solutions that break lateral reflection symmetry.
- Confirmed symmetry breaking in systems with one or two circular cylinders.
- Provided a rigorous study of this phenomenon in these specific geometries.
Conclusions:
- Symmetry breaking can occur in simple nonlinear optical systems like cylinders.
- This work offers a foundational study for more complex nonlinear optical systems.
- The findings contribute to understanding wave interactions in nonlinear media.
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