Theoretical analysis of the dynamic behavior of highly-efficient erbium/ytterbium codoped fiber lasers

1996 ◽  
Vol 8 (11) ◽  
pp. 1462-1464 ◽  
Author(s):  
T. Tellert ◽  
F. Di Pasquale ◽  
M. Federighi
Keyword(s):  
Theoretical Analysis ◽  
Dynamic Behavior ◽  
Fiber Lasers ◽  
Highly Efficient

Root locus-based stability analysis for biological systems

2021 ◽  
pp. 2150023
Author(s):  
Shinq-Jen Wu
Keyword(s):  
Steady State ◽  
Theoretical Analysis ◽  
Dynamic Behavior ◽  
Biological System ◽  
Setting Time ◽  
Mode Analysis ◽  
Root Locus ◽  
Stability Margins ◽  
Independent Variables ◽  
Simulation Results

Background: The first objective for realizing and handling biological systems is to choose a suitable model prototype and then perform structure and parameter identification. Afterwards, a theoretical analysis is needed to understand the characteristics, abilities, and limitations of the underlying systems. Generalized Michaelis–Menten kinetics (MM) and S-systems are two well-known biochemical system theory-based models. Research on steady-state estimation of generalized MM systems is difficult because of their complex structure. Further, theoretical analysis of S-systems is still difficult because of the power-law structure, and even the estimation of steady states can be easily achieved via algebraic equations. Aim: We focus on how to flexibly use control technologies to perform deeper biological system analysis. Methods: For generalized MM systems, the root locus method (proposed by Walter R. Evans) is used to predict the direction and rate (flux) limitations of the reaction and to estimate the steady states and stability margins (relative stability). Mode analysis is additionally introduced to discuss the transient behavior and the setting time. For S-systems, the concept of root locus, mode analysis, and the converse theorem are used to predict the dynamic behavior, to estimate the setting time and to analyze the relative stability of systems. Theoretical results were examined via simulation in a Simulink/MATLAB environment. Results: Four kinds of small functional modules (a system with reversible MM kinetics, a system with a singular or nearly singular system matrix and systems with cascade or branch pathways) are used to describe the proposed strategies clearly. For the reversible MM kinetics system, we successfully predict the direction and the rate (flux) limitations of reactions and obtain the values of steady state and net flux. We observe that theoretically derived results are consistent with simulation results. Good prediction is observed ([Formula: see text]% accuracy). For the system with a (nearly) singular matrix, we demonstrate that the system is neither globally exponentially stable nor globally asymptotically stable but globally semistable. The system possesses an infinite gain margin (GM denoting how much the gain can increase before the system becomes unstable) regardless of how large or how small the values of independent variables are, but the setting time decreases and then increases or always decreases as the values of independent variables increase. For S-systems, we first demonstrate that the stability of S-systems can be determined by linearized systems via root loci, mode analysis, and block diagram-based simulation. The relevant S-systems possess infinite GM for the values of independent variables varying from zero to infinity, and the setting time increases as the values of independent variables increase. Furthermore, the branch pathway maintains oscillation until a steady state is reached, but the oscillation phenomenon does not exist in the cascade pathway because in this system, all of the root loci are located on real lines. The theoretical predictions of dynamic behavior for these two systems are consistent with the simulation results. This study provides a guideline describing how to choose suitable independent variables such that systems possess satisfactory performance for stability margins, setting time and dynamic behavior. Conclusion: The proposed root locus-based analysis can be applied to any kind of differential equation-based biological system. This research initiates a method to examine system dynamic behavior and to discuss operating principles.

Theoretical analysis of lens array for uniform irradiation on target in multimode fiber lasers

2014 ◽  
Vol 12 (10) ◽  
pp. 101402-101407
Author(s):  
Jian Lin Jian Lin ◽  
Lixin Xu Lixin Xu ◽  
Shengbo Wang Shengbo Wang ◽  
Haixiao Han Haixiao Han
Keyword(s):  
Theoretical Analysis ◽  
Fiber Lasers ◽  
Multimode Fiber ◽  
Lens Array

Theoretical analysis of the energy evolution in dissipative soliton fiber lasers

2015 ◽  
Vol 51 (6) ◽  
pp. 577-581
Author(s):  
A. S. Skidin ◽  
I. A. Yarutkina ◽  
O. V. Shtyrina ◽  
M. P. Fedoruk
Keyword(s):  
Theoretical Analysis ◽  
Fiber Lasers ◽  
Dissipative Soliton ◽  
Energy Evolution

scholarly journals High-power and highly efficient operation of wavelength-tunable Raman fiber lasers based on volume Bragg gratings

2014 ◽  
Vol 22 (6) ◽  
pp. 6605 ◽  
Author(s):  
Jun Liu ◽  
Deyuan Shen ◽  
Haitao Huang ◽  
Chujun Zhao ◽  
Xiaoqi Zhang ◽  
...  
Keyword(s):  
High Power ◽  
Fiber Lasers ◽  
Bragg Gratings ◽  
Efficient Operation ◽  
Volume Bragg Gratings ◽  
Wavelength Tunable ◽  
Highly Efficient

Experimental Analysis of Cracked Rotor

2004 ◽  
Vol 127 (3) ◽  
pp. 313-320 ◽  
Author(s):  
Tong Zhou ◽  
Zhengce Sun ◽  
Jianxue Xu ◽  
Weihua Han
Keyword(s):  
Fatigue Crack ◽  
Theoretical Analysis ◽  
Dynamic Behavior ◽  
Experimental Analysis ◽  
Nonlinear Dynamic ◽  
Experimental Confirmation ◽  
Experimental Result ◽  
Cracked Rotor ◽  
Narrow Slot ◽  
Theoretical Results

The dynamic behavior of a cracked rotor has been theoretically analyzed by many researchers. In this paper, an experimental confirmation of the theoretical results is sought, especially for the nonlinear dynamic behavior of the cracked rotor. The crack in the rotor was simulated by a real fatigue crack, instead of a narrow slot. It can be seen from the orbit and spectrum of the rotor’s center that the effect of the crack becomes obvious only if the crack is deep enough. The experimental result conforms to theoretical analysis very well.

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