scholarly journals Interpretation and Dynamics of the Lotka–Volterra Model in the Description of a Three-Level Laser

Photonics ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 16
Author(s):  
Vicente Aboites ◽  
Jorge Francisco Bravo-Avilés ◽  
Juan Hugo García-López ◽  
Rider Jaimes-Reategui ◽  
Guillermo Huerta-Cuellar

In this work, the Lotka–Volterra equations where applied to laser physics to describe population inversion and the number of emitted photons. Given that predation and stimulated emissions are analogous processes, two rate equations where obtained by finding suitable parameter transformations for a three-level laser. This resulted in a set of differential equations which are isomorphic to several laser models under accurate parameter identification. Furthermore, the steady state provided two critical points: one where light amplification stops and another where continuous-wave operation is achieved. Lyapunov’s first method of stability yielded the conditions for the convergence to the continuous-wave point, whereas a Lyapunov potential provided its stability regions. Finally, the Q-Switching technique was modeled by introducing a periodic variation of the quality Q of the cavity. This resulted in the transformation of the asymptotically stable fixed point into a limit cycle in the phase space.

2021 ◽  
pp. 1-1
Author(s):  
Jianxun Wang ◽  
Yixin Wan ◽  
Xinjie Li ◽  
Qiang Liu ◽  
Hao Li ◽  
...  

2006 ◽  
Vol 89 (4) ◽  
pp. 041113 ◽  
Author(s):  
T. Kettler ◽  
L. Ya. Karachinsky ◽  
N. N. Ledentsov ◽  
V. A. Shchukin ◽  
G. Fiol ◽  
...  

1999 ◽  
Vol 11 (11) ◽  
pp. 1345-1347 ◽  
Author(s):  
A.E. Zhukov ◽  
A.R. Kovsh ◽  
V.M. Ustinov ◽  
Yu.M. Shernyakov ◽  
S.S. Mikhrin ◽  
...  

2003 ◽  
Vol 39 (10) ◽  
pp. 777 ◽  
Author(s):  
D. Gollub ◽  
S. Moses ◽  
M. Fischer ◽  
A. Forchel

2021 ◽  
Vol 42 (11) ◽  
pp. 112801
Author(s):  
Feng Liang ◽  
Degang Zhao ◽  
Zongshun Liu ◽  
Ping Chen ◽  
Jing Yang ◽  
...  

Abstract In this work, we reported the room-temperature continuous-wave operation of 6.0 W GaN-based blue laser diode (LD), and its stimulated emission wavelength is around 442 nm. The GaN-based high power blue LD is grown on a c-plane GaN substrate by metal organic chemical vapor deposition (MOCVD), and the width and length of the ridge waveguide structure are 30 and 1200 μm, respectively. The threshold current is about 400 mA, and corresponding threshold current density is 1.1 kA/cm2.


1997 ◽  
Vol 3 (2) ◽  
pp. 359-365 ◽  
Author(s):  
N.M. Margalit ◽  
J. Piprek ◽  
S. Zhang ◽  
D.I. Babic ◽  
K. Streubel ◽  
...  

2012 ◽  
Vol 101 (24) ◽  
pp. 241110 ◽  
Author(s):  
N. Bandyopadhyay ◽  
Y. Bai ◽  
S. Tsao ◽  
S. Nida ◽  
S. Slivken ◽  
...  

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