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Diffractive Lugiato-Lefever equation driven by a double tightly focused pump.
Mateus C P Dos Santos1,2, Shatrughna Kumar3, Wesley B Cardoso4
1Universidade Federal do Triângulo, Instituto de Ciências Tecnológicas e Exatas, Mineiro, 38064-200, Uberaba, Minas Gerais, Brazil.
Physical Review. E
|February 20, 2025
Summary
We present a model of an optical cavity exhibiting symmetry breaking in bound states, influenced by localized hot spots and nonlinearities. This phenomenon occurs under specific phase shifts and loss conditions in the Lugiato-Lefever equation.
Area of Science:
- Nonlinear Optics
- Mathematical Physics
Background:
- The Lugiato-Lefever (LL) equation models nonlinear optical phenomena in cavities.
- Understanding bound states and symmetry breaking is crucial for optical system design.
Purpose of the Study:
- To investigate bound states in an optical cavity model based on the 1D LL equation.
- To explore symmetry breaking phenomena induced by a double hot spot (HS) pump with a phase shift.
Main Methods:
- Modeling an optical cavity using the 1D Lugiato-Lefever equation.
- Introducing a symmetric double hot spot (HS) pump with a phase shift.
- Analyzing cubic and quintic nonlinearities and system loss.
Main Results:
- Identified families of bound states pinned to the double HS.
- Observed symmetry breaking (SB) between bound state peaks for 0<χ<π with loss.
- Demonstrated stable symmetric and asymmetric bound states in the quintic nonlinearity case.
Conclusions:
- Symmetry breaking is an analytically explained phenomenon in the LL model with double HS.
- The system supports stable bound states even with background instability in the quintic case.
