期刊
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS
卷 28, 期 1, 页码 -出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JSTQE.2021.3076083
关键词
Laser dynamics semiconductor laser arrays; stability analysis
资金
- Engineering and Physical Sciences Research Council (EPSRC) [EP/M024237/1]
- EPSRC [EP/M024237/1] Funding Source: UKRI
Studying the simplified rate equation models for coupled laser pairs can provide approximate solutions and explicit expressions for the boundaries of stable dynamics. This is important for understanding the dynamics of two-element VCSEL arrays and the effects of material, device, and operating conditions.
The five coupled rate equations used to describe laterally-coupled pairs of lasers with weak coupling and unequal pumping are reduced to a new system of three equations. This enables approximate closed-form steady-state solutions and explicit expressions for the boundaries between regions of stable and unstable dynamics to be found. The results of applying these approximations to specific cases of coupled laser pairs are shown to be in good agreement with results obtained from numerical solutions of the original set of five equations as well as earlier results from the literature. In addition the approximations based on the reduced set of equations allow a systematic investigation of the effects of material, device and operating conditions on trends and novel features in the dynamics of laterally-coupled laser pairs. The algebraic results give insight into trends with parameters without the need for extensive numerical computation and should therefore be of use in modelling two-element VCSEL arrays for numerous potential applications.
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