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Acoplamientos no lineales 2D PT-simétricos: Estabilidad y dinámica de potencia en el sistema sinusoidal
Jaseera Chilappurath1,2, Aysha Muhsina K1
1Department of Physics, Government Arts and Science College, Kozhikode 673018, Kerala, India.
Chaos (Woodbury, N.Y.)
|August 26, 2025
Resumen
Este estudio revela cómo los potenciales imaginarios afectan la estabilidad del haz en sistemas simétricos de paridad-tiempo (PT). Los solitones son estables por debajo de un umbral, pero se vuelven inestables por encima de él, alterando la dinámica del haz y la transferencia de energía.
Área de la Ciencia:
- Óptica no lineal
- La mecánica cuántica
- Física matemática
Sus antecedentes:
- Los sistemas simétricos de paridad-tiempo (PT) ofrecen propiedades únicas para la propagación de ondas.
- Los sistemas acoplados no lineales son cruciales para comprender fenómenos ópticos complejos.
- Los potenciales imaginarios introducen ganancias y pérdidas, impactando significativamente en la dinámica del sistema.
Objetivo del estudio:
- Investigar la estabilidad y la dinámica de potencia de los haces en un sistema acoplado sinusoidal cúbico simétrico 2D PT.
- Para analizar la influencia de los diferentes potenciales imaginarios en el comportamiento solitario.
- Determinar los umbrales de estabilidad y caracterizar la dinámica de los solitones en diferentes fases simétricas PT.
Principales métodos:
- Análisis del valor propio para determinar la estabilidad.
- Examen de los ángulos de fase para la sincronización de los modos.
- Análisis de las funciones propias, el vector de Poynting y el intercambio de potencias.
- Caracterización de las formas de onda solitonas y las fluctuaciones de amplitud.
Principales resultados:
- Los solitones son estables por debajo del potencial umbral, mostrando oscilaciones de potencia periódicas y formas de onda simétricas.
- Por encima del umbral, surgen inestabilidades, lo que lleva a funciones propias asimétricas y fluctuaciones de amplitud irregulares.
- La transición de fases estables a inestables está marcada por la distorsión de la forma de onda y la transferencia de potencia alterada.
- La frecuencia de oscilación está influenciada por el equilibrio ganancia/pérdida, que afecta a la transferencia de energía.
Conclusiones:
- La no linealidad, la fuerza de acoplamiento y el potencial imaginario son factores críticos para la estabilidad del solitón en sistemas PT-simétricos.
- El estudio proporciona información sobre la propagación del haz óptico y el control de ondas no lineales.
- La comprensión de estas dinámicas es esencial para el diseño de dispositivos y sistemas ópticos avanzados.
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