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Nonlinear Optical Systems

  • Date Published: March 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107062672

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About the Authors
  • Guiding graduate students and researchers through the complex world of laser physics and nonlinear optics, this book provides an in-depth exploration of the dynamics of lasers and other relevant optical systems, under the umbrella of a unitary spatio-temporal vision. Adopting a balanced approach, the book covers traditional as well as special topics in laser physics, quantum electronics and nonlinear optics, treating them from the viewpoint of nonlinear dynamical systems. These include laser emission, frequency generation, solitons, optically bistable systems, pulsations and chaos and optical pattern formation. It also provides a coherent and up-to-date treatment of the hierarchy of nonlinear optical models and of the rich variety of phenomena they describe, helping readers to understand the limits of validity of each model and the connections among the phenomena. It is ideal for graduate students and researchers in nonlinear optics, quantum electronics, laser physics and photonics.

    • Provides a unitary vision of nonlinear optical models and of the phenomena they describe
    • Encompasses static (i.e. stationary) phenomena, temporal (i.e. dynamical) effects and spatial phenomena to give the reader a comprehensive understanding of the phenomena in play
    • Includes topics usually considered in courses on laser physics/quantum electronics and nonlinear optics, giving readers a broader understanding of the subject
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    Reviews & endorsements

    'Nonlinear Optical Systems achieves an unmatched coverage in a field that has grown into many sub-disciplines in a very clear and coherent manner. This is a beautiful and self-contained book that starts with the fundamentals and goes on to cover the dynamical phenomena and optical pattern formation in quantum optical systems. Written by the leading lights of the field, [it] is a 'must have' for any serious student and researcher in the field of quantum optics, nonlinear optics and laser physics.' M. Suhail Zubairy, Texas A&M University

    'This is an excellent book that covers a large variety of nonlinear optical phenomena with a unified view and notation. Of particular significance and novelty is the exhaustive treatment of spatial and temporal instabilities inside laser and laser-like systems.' Vittorio Degiorgio, University of Pavia

    'This book is truly a wonderful reference for beginning graduate students, teachers and active researchers in the field of laser science, quantum electronics and nonlinear dynamics of optical systems. Written by internationally recognized and award-winning scientists, [it] is a fabulous overview of these broad areas of research from the 1960s (and earlier) to modern times. The authors have presented a range of material with enough detail for the reader to gain deep insight into the physics being discussed, yet relegated enough of the technical details to the extensive reference list so as not to distract the reader. The book is divided into three sections with a logical progression: steady state and propagation, dynamical phenomena and transverse effects. It is an excellent review of these fields, a great pedagogical tool and a 'must-have-on-your-desk' reference.' Frank A. Narducci, Naval Air Systems Command

    'The reader will gain an in-depth familiarity with the field. This book can be used as a rich research resource and as a complementary text. It is suitable for graduate students as well as researchers in the field.' A. Zakery, Optics and Photonics News

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    Product details

    • Date Published: March 2015
    • format: Hardback
    • isbn: 9781107062672
    • length: 464 pages
    • dimensions: 253 x 195 x 24 mm
    • weight: 1.18kg
    • contains: 169 b/w illus.
    • availability: Available
  • Table of Contents

    Preface
    Part I. Models, Propagation, Steady-State Phenomena:
    1. Rate equation model for the laser
    2. Interaction of a system of two-level atoms with the electromagnetic field
    3. The Maxwell–Bloch equations
    4. Inclusion of the irreversible processes in the atomic equations
    5. Linear and nonlinear propagation in irreversible Maxwell–Bloch equations
    6. Optical nonlinearities: materials with quadratic nonlinearities
    7. Optical nonlinearities: materials with cubic nonlinearities
    8. Optical resonators: the planar ring cavity, empty cavity, linear cavity
    9. Nonlinear active ring cavity: the ring laser, stationary states
    10. The adiabatic elimination principle
    11. Nonlinear passive ring cavity: optical bistability
    12. Modal equations for the ring cavity: the single-mode model
    13. Single- and two-mode models
    14. Nonlinear dynamics in Fabry–Perot cavities
    15. Inhomogeneous broadening
    16. The semiconductor laser
    17. Laser without inversion and the effects of atomic coherence
    Part II. Dynamical Phenomena, Instabilities, Chaos:
    18. Some general aspects in nonlinear dissipative dynamical systems
    19. Special limits in the single-mode model
    20. The linear stability analysis of Maxwell–Bloch equations
    21. Adiabatic elimination in the complete Maxwell–Bloch equations
    22. Dynamical aspects in the laser
    23. Single- and multi-mode operation in inhomogeneously broadened lasers
    24. Dynamical aspects in optical bistability
    25. Self-pulsing in other optical systems
    Part III. Transverse Optical Patterns:
    26. Gaussian beams and modes of cavities with spherical mirrors
    27. General features about optical pattern formation in planar cavities
    28. The LL model
    29. Spatial patterns in cavities with spherical mirrors
    30. Cavity solitons
    Appendixes
    References
    Index.

  • Resources for

    Nonlinear Optical Systems

    Luigi Lugiato, Franco Prati, Massimo Brambilla

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  • Authors

    Luigi Lugiato, Università degli Studi dell'Insubria, Italy
    Luigi Lugiato is Professor Emeritus at Università dell'Insubria, Como, Italy. He has received numerous honors as a result of his many pioneering contributions in nonlinear optics and quantum optics. These include the Albert A. Michelson Medal of the Franklin Institute, the Quantum Electronics Prize of the European Physical Society, the Max Born Award of the Optical Society of America and the Fermi Prize and Medal of the Italian Physical Society. He is member of Academia Europaea and a Fellow of the Optical Society of America, the American Physical Society and the European Physical Society.

    Franco Prati, Università degli Studi dell'Insubria, Italy
    Franco Prati is an Associate Professor at Università dell' Insubria, Como, Italy. He has worked in laser physics and nonlinear optics since 1987. His main contributions concern the study of temporal and spatio-temporal instabilities in nonlinear optical systems. He is co-author of more than 80 papers in peer-reviewed journals, and he is an Outstanding Referee of the American Physical Society and member of the Optical Society of America.

    Massimo Brambilla, Università degli Studi e Politecnico di Bari, Italy
    Massimo Brambilla is an Associate Professor at Politecnico di Bari, Italy. He has worked in nonlinear and quantum optics since 1986, participating in the early studies of optical pattern formation and dynamics and contributing to more than 100 journal papers and numerous conference presentations. He is active in the theoretical research of nonlinear optical systems, with a special focus on spatio-temporal dynamics of the coherent field and solitonic phenomena. He is a member of the Optical Society of America.

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