Chimera states in a large laterally coupled laser array with four different waveguide structures

Shuangquan Gu; Qi Fang; Pei Zhou; Nianqiang Li

doi:10.1063/5.0151330

Chimera states in a large laterally coupled laser array with four different waveguide structures

Chaos. 2023 Jul 1;33(7):073152. doi: 10.1063/5.0151330.

Authors

Shuangquan Gu^{1

2}, Qi Fang^{1

2}, Pei Zhou^{1

2}, Nianqiang Li^{1

2}

Affiliations

¹ School of Optoelectronic Science and Engineering and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China.
² Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province and Key Lab of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China.

PMID: 37499249
DOI: 10.1063/5.0151330

Abstract

Chimera states are rich and fascinating phenomena existing in many networks, where the identical oscillators self-organize into spatially separated coexisting domains of coherent and incoherent oscillations. Here, we report these states in the large laterally coupled laser array with four different waveguiding structures, with which a variety of chimera patterns can be revealed. We present the bifurcation diagrams giving birth to them and find that the chimeras exist in the boundary of the steady state and multi-period oscillation solutions, which applies to all the prevalent waveguiding structures considered. We also find that the waveguiding structures play an important role in the chimera states, e.g., the array composed of the index antiguiding with gain-guiding has a wider chimera region compared to other waveguides considered. Additionally, the effects of the crucial parameters including the laser separation ratio, pump rate, frequency detuning, and linewidth enhancement factor on the observed phenomena are discussed. Our analysis shows that the frequency detuning between lasers and the linewidth enhancement factor affects the lifetime and pattern of chimeras. The results could guide the design of laser arrays or introduce more insight into a new understanding of the dynamical behaviors of networks.