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Nonlinear Dynamics Of Lasers [Kietas viršelis]

(Univ Di Firenze, Italy And Ino-cnr, Italy), (Univ Du Sud-toulon Var, France), (Ino-cnr, Italy)
  • Formatas: Hardback, 148 pages
  • Serija: Topics In Systems Engineering 4
  • Išleidimo metai: 23-Feb-2023
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811272514
  • ISBN-13: 9789811272516
Kitos knygos pagal šią temą:
Nonlinear Dynamics Of LasersDidesnis paveikslėlis
  • Formatas: Hardback, 148 pages
  • Serija: Topics In Systems Engineering 4
  • Išleidimo metai: 23-Feb-2023
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811272514
  • ISBN-13: 9789811272516
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9789811272516.html
"In the early 1980s, the late luminary Tito Arecchi was the first to highlight the existence of chaos in a laser model. Since then, along with several colleagues, he developed many important lines of research in this field, such as generalized multistability, laser with injected signal, laser with delayed feedback and the worldwide accepted classification of lasers in A, B and C, depending on their typical relaxation rates. Later, chaos control and synchronization were investigated in lasers and other systems, providing innovative schemes. Very recently, in his last contribution to laser physics, the model of the laser with feedback demonstrating that it possesses universal features was revisited. This book aims to present the research activity by Prof. Arecchi and his colleagues in the domain of nonlinear dynamics of lasers, since his seminal works of 1982 till the latest. Also included is our last contribution on jerk dynamics of laser's minimal universal model and a brief history of the discovery of laser where the reader will discover or rediscover many anecdotes about it"--
In memoriam --- Tito Arecchi (11 December 1933--15 February 2021) vii
Acknowledgments xi
List of Figures
xvii
List of Tables
xix
1 Laser Physics and Laser Instabilities
1(16)
1.1 Introduction
1(1)
1.2 Semiclassical theory
2(6)
1.3 Fundamental results of the semiclassical theory
8(7)
1.4 References
15(2)
2 Generalized Multistability and its Control in a Laser
17(16)
2.1 Introduction
18(1)
2.2 Two-level non-autonomous laser model
19(5)
2.2.1 Rescaled form
20(1)
2.2.2 Jacobian matrix
20(4)
2.3 Two-level autonomous laser model
24(4)
2.3.1 Fixed points
25(1)
2.3.2 Jacobian matrix
25(3)
2.4 Control of generalized multistability
28(3)
2.5 Discussion
31(1)
2.6 References
31(2)
3 Minimal Universal Model for Chaos in Laser with Feedback
33(20)
3.1 Introduction
33(3)
3.2 Minimal universal model
36(4)
3.2.1 Dimensionless form
36(1)
3.2.2 Fixed points
36(1)
3.2.3 Jacobian matrix
37(1)
3.2.4 Bifurcation diagram
38(1)
3.2.5 Numerical computation of the Lyapunov exponents
38(2)
3.3 Experimental part
40(6)
3.4 Discussion
46(1)
3.5 Conclusions
47(1)
3.6 Appendix
48(1)
3.7 References
49(4)
4 Slow Invariant Manifold of Laser with Feedback
53(14)
4.1 Introduction
53(2)
4.2 Slow-fast dynamical system
55(1)
4.3 Stability analysis
56(3)
4.3.1 Fixed points, Jacobian matrix and eigenvalues
56(1)
4.3.2 Bifurcation diagram
57(1)
4.3.3 Numerical computation of the Lyapunov characteristic exponents
58(1)
4.4 Slow invariant manifold
59(4)
4.5 Discussion
63(1)
4.6 References
64(3)
5 Phase Control in Nonlinear Systems
67(14)
5.1 Introduction
67(2)
5.2 Phase control of intermittency in dynamical systems
69(9)
5.2.1 Crisis-induced intermittency and its control
69(1)
5.2.2 Experimental setup and implementation of the phase control scheme
69(3)
5.2.3 Phase control of the laser in the pre-crisis regime
72(5)
5.2.4 Phase control of the intermittency after the crisis
77(1)
5.3 Conclusions and discussions
78(1)
5.4 References
79(2)
6 The Jerk Dynamics of Laser's Minimal Universal Model
81(16)
6.1 Introduction
81(1)
6.2 Preliminaries
82(2)
6.3 The jerk form of laser's minimal universal model
84(6)
6.3.1 Jerk form in z
85(3)
6.3.2 Stability analysis
88(1)
6.3.3 Jacobian matrix
88(2)
6.3.4 Bifurcation diagram
90(1)
6.3.5 Numerical computation of the Lyapunov exponents
90(1)
6.4 Experimental part
90(5)
6.5 Discussion
95(1)
6.6 References
96(1)
7 A Short History of the Discovery of LASER
97(12)
7.1 The nature of light
97(1)
7.2 The birth of Quantum Mechanics
98(2)
7.3 From MASER to LASER
100(4)
7.4 LASER applications
104(2)
7.5 References
106(3)
Appendix A Appendix
109(8)
A.1 Laser rate equations
109(1)
A.1.1 Stationary solutions
110(1)
A.2 First normalization
110(2)
A.2.1 Stationary solutions
111(1)
A.2.2 Linear stability analysis
111(1)
A.3 Second normalization
112(2)
A.3.1 Stationary solutions
113(1)
A.3.2 Linear stability analysis
113(1)
A.4 Third normalization
114(3)
A.4.1 Stationary solutions
114(1)
A.4.2 Linear stability analysis
115(2)
Appendix B Appendix
117(2)
Bibliography 119(8)
Index 127