Bi-stability and period-doubling cascade of frequency combs in exceptional-point lasers.

Nanophotonics

Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, 90089, USA.

Published: June 2025


Category Ranking

98%

Total Visits

921

Avg Visit Duration

2 minutes

Citations

20

Article Abstract

Recent studies have demonstrated that a laser can self-generate frequency combs when tuned near an exceptional point (EP), where two cavity modes coalesce. These EP combs induce periodic modulation of the population inversion in the gain medium, and their repetition rate is independent of the laser cavity's free spectral range. In this work, we perform a stability analysis that reveals two notable properties of EP combs, bi-stability and a period-doubling cascade. The period-doubling cascade enables halving of the repetition rate while maintaining the comb's total bandwidth, presenting opportunities for the design of highly compact frequency comb generators.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC12199559PMC
http://dx.doi.org/10.1515/nanoph-2025-0069DOI Listing

Publication Analysis

Top Keywords

period-doubling cascade
12
bi-stability period-doubling
8
frequency combs
8
repetition rate
8
cascade frequency
4
combs
4
combs exceptional-point
4
exceptional-point lasers
4
lasers studies
4
studies demonstrated
4

Similar Publications

The memristor, theorized by Leon Chua in 1971, functions as a fundamental electronic component, directly linking electric charge and magnetic flux. As a result of their nonlinear characteristics, memristive circuits generally exhibit chaotic attractors in addition to periodicity. In this work, we consider the Muthuswamy-Chua system, a chaotic circuit consisting of an inductor, a capacitor, and a memristor.

View Article and Find Full Text PDF

In the present article, a prey-predator-scavenger model is proposed and investigated with quadratic harvesting of predator and scavenger populations. The system is assumed to follow the Crowley-Martin functional response to describe the interaction between prey and predator populations. The positivity and boundedness of the system with respect to positive initial conditions are established.

View Article and Find Full Text PDF

Recent studies have demonstrated that a laser can self-generate frequency combs when tuned near an exceptional point (EP), where two cavity modes coalesce. These EP combs induce periodic modulation of the population inversion in the gain medium, and their repetition rate is independent of the laser cavity's free spectral range. In this work, we perform a stability analysis that reveals two notable properties of EP combs, bi-stability and a period-doubling cascade.

View Article and Find Full Text PDF

Global dynamics and asymmetric fractal dimension in a nontwist circle map.

Chaos

February 2025

Departamento de Física, Instituto de Geociências e Ciências Exatas, Universidade Estadual Paulista (UNESP), 13506-900 Rio Claro, São Paulo, Brazil.

We consider the standard nontwist map with strong dissipation that leads the system to a 1D circular map with a quadratic sinusoidal oscillation and two control parameters. The 2D Lyapunov and isoperiodic diagrams reveal a complex interplay between domains of periodicity embedded in regions dominated by quasiperiodic and chaotic behaviors. Arnold tongues and shrimp-like, among other sets of periodicities, compose this rich dynamical scenario in the parameter space.

View Article and Find Full Text PDF

A underlying complex dynamical behavior of double Allee effects in predator-prey system is studied in this article to understand the predator-prey relation more intensely from different aspects. We first propose a system with the Caputo sense fractional-order predator-prey system incorporating the Allee effect in prey populations to explain how the memory effect can change the different emergent states. Local stability analysis is analyzed by applying Matignon's condition for the FDE system.

View Article and Find Full Text PDF