scholarly journals Suppressing spatiotemporal lasing instabilities with wave-chaotic microcavities

Science ◽  
2018 ◽  
Vol 361 (6408) ◽  
pp. 1225-1231 ◽  
Author(s):  
Stefan Bittner ◽  
Stefano Guazzotti ◽  
Yongquan Zeng ◽  
Xiaonan Hu ◽  
Hasan Yılmaz ◽  
...  

Spatiotemporal instabilities are widespread phenomena resulting from complexity and nonlinearity. In broad-area edge-emitting semiconductor lasers, the nonlinear interactions of multiple spatial modes with the active medium can result in filamentation and spatiotemporal chaos. These instabilities degrade the laser performance and are extremely challenging to control. We demonstrate a powerful approach to suppress spatiotemporal instabilities using wave-chaotic or disordered cavities. The interference of many propagating waves with random phases in such cavities disrupts the formation of self-organized structures such as filaments, resulting in stable lasing dynamics. Our method provides a general and robust scheme to prevent the formation and growth of nonlinear instabilities for a large variety of high-power lasers.

1993 ◽  
Vol 10 (4) ◽  
pp. 658 ◽  
Author(s):  
H. Adachihara ◽  
P. Ru ◽  
J. V. Moloney ◽  
O. Hess ◽  
E. Abraham

2019 ◽  
Vol 16 (150) ◽  
pp. 20180586 ◽  
Author(s):  
Yutaka Hori ◽  
Hiroki Miyazako

Diffusion and flow-driven instability, or transport-driven instability, is one of the central mechanisms to generate inhomogeneous gradient of concentrations in spatially distributed chemical systems. However, verifying the transport-driven instability of reaction–diffusion–advection systems requires checking the Jacobian eigenvalues of infinitely many Fourier modes, which is computationally intractable. To overcome this limitation, this paper proposes mathematical optimization algorithms that determine the stability/instability of reaction–diffusion–advection systems by finite steps of algebraic calculations. Specifically, the stability/instability analysis of Fourier modes is formulated as a sum-of-squares optimization program, which is a class of convex optimization whose solvers are widely available as software packages. The optimization program is further extended for facile computation of the destabilizing spatial modes. This extension allows for predicting and designing the shape of the concentration gradient without simulating the governing equations. The streamlined analysis process of self-organized pattern formation is demonstrated with a simple illustrative reaction model with diffusion and advection.


2011 ◽  
Vol 26 (7) ◽  
pp. 075014 ◽  
Author(s):  
V P Kalosha ◽  
K Posilovic ◽  
T Kettler ◽  
V A Shchukin ◽  
N N Ledentsov ◽  
...  

Author(s):  
X. Liu ◽  
L.C. Hughes ◽  
M.H. Rasmussen ◽  
M.H. Hu ◽  
V.A. Bhagavatula ◽  
...  

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