Pulse Propagation In Nonlinear Optical Fibers Using Phase Sensitive Amplifiers

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Pulse Propagation in Nonlinear Optical Fibers Using Phase-Sensitive Amplifiers

Author :
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Pulse Propagation in Nonlinear Optical Fibers Using Phase-Sensitive Amplifiers by :

Download or read book Pulse Propagation in Nonlinear Optical Fibers Using Phase-Sensitive Amplifiers written by and published by . This book was released on 1994 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical model for pulse propagation in a nonlinear fiber-optic communications line is presented where linear loss in the fiber is balanced by a chain of periodically-spaced, phase-sensitive amplifiers (PSAs). A multiple scale analysis is employed to average over the strong, rapidly-varying and periodic perturbations to the governing nonlinear Schrodinger equation (NLS). The analysis indicates that the averaged evolution is governed by a fourth-order nonlinear diffusion equation which evolves on a length scale much greater than that of the typical soliton period. In a particular limit, stable steady-state hyperbolic secant solutions of the averaged equation are analytically found to exist provided a minimum amount of over-amplification is supplied. Further, arbitrary initial conditions within a wide stability region exponentially decay onto the steady-state. Outside of this analytic regime, extensive numerical simulations indicate that soliton-like steady-states exist and act as exponential attractors for a wide region of parameter space. These simulations also show that the averaged evolution is quite accurate in modeling the full NLS with loss and phase-sensitive gain. The bifurcation structure of the fourth-order equation is explored. A subcritical bifurcation from the trivial solution is found to occur for a specific over-amplification value. Further, a limit point, or fold, is also found which connects the stable branch of solutions with the unstable branch from the subcritical bifurcation. The bifurcation structure can be further explored in parameter space with the use of AUTO which is capable of tracking steady-state solutions for a wide range of parameters.

Stability of Pulses in Nonlinear Optical Fibers Using Phase-sensitive Amplifiers

Author : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Stability of Pulses in Nonlinear Optical Fibers Using Phase-sensitive Amplifiers by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Stability of Pulses in Nonlinear Optical Fibers Using Phase-sensitive Amplifiers written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pulse Propagation in Nonlinear Optical Fibers Using Phrase-sensitive Amplifiers

Author : Jose Nathan Kutz
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (221 download)

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Book Synopsis Pulse Propagation in Nonlinear Optical Fibers Using Phrase-sensitive Amplifiers by : Jose Nathan Kutz

Download or read book Pulse Propagation in Nonlinear Optical Fibers Using Phrase-sensitive Amplifiers written by Jose Nathan Kutz and published by . This book was released on 19?? with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shaping Light in Nonlinear Optical Fibers

Author : Sonia Boscolo
Publisher : John Wiley & Sons
ISBN 13 : 1119088127
Total Pages : 486 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Shaping Light in Nonlinear Optical Fibers by : Sonia Boscolo

Download or read book Shaping Light in Nonlinear Optical Fibers written by Sonia Boscolo and published by John Wiley & Sons. This book was released on 2017-05-30 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a contemporary overview of selected topics in fiber optics. It focuses on the latest research results on light wave manipulation using nonlinear optical fibers, with the aim of capturing some of the most innovative developments on this topic. The book’s scope covers both fundamentals and applications from both theoretical and experimental perspectives, with topics including linear and nonlinear effects, pulse propagation phenomena and pulse shaping, solitons and rogue waves, novel optical fibers, supercontinuum generation, polarization management, optical signal processing, fiber lasers, optical wave turbulence, light propagation in disordered fiber media, and slow and fast light. With contributions from leading-edge scientists in the field of nonlinear photonics and fiber optics, they offer an overview of the latest advances in their own research area. The listing of recent research papers at the end of each chapter is useful for researchers using the book as a reference. As the book addresses fundamental and practical photonics problems, it will also be of interest to, and benefit, broader academic communities, including areas such as nonlinear science, applied mathematics and physics, and optical engineering. It offers the reader a wide and critical overview of the state-of-the-art within this practical – as well as fundamentally important and interesting – area of modern science, providing a useful reference which will encourage further research and advances in the field.

Nonlinear Optics

Author : Karsten Rottwitt
Publisher : CRC Press
ISBN 13 : 1466565837
Total Pages : 345 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Nonlinear Optics by : Karsten Rottwitt

Download or read book Nonlinear Optics written by Karsten Rottwitt and published by CRC Press. This book was released on 2014-12-11 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the fundamental aspects of nonlinear optics from basic principles to applications. Starting from the polarization induced by an electric field in a material, it relates the induced polarization to the propagating fields. It describes the properties of the induced polarization through a material response expressed both in the time and frequency domains leading to the nonlinear wave equation. The second part of the book focuses on applications of nonlinear interaction between light and matter, and considers nonlinearities in crystals and optical fibers.

Computational Wave Propagation

Author : Bjorn Engquist
Publisher : Springer Science & Business Media
ISBN 13 : 1461224225
Total Pages : 224 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Computational Wave Propagation by : Bjorn Engquist

Download or read book Computational Wave Propagation written by Bjorn Engquist and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications COMPUTATIONAL WAVE PROPAGATION is based on the workshop with the same title and was an integral part of the 1994-1995 IMA program on "Waves and Scattering." We would like to thank Bjorn Engquist and Gregory A. Kriegsmann for their hard work in organizing this meeting and in editing the proceedings. We also take this opportunity to thank the National Science Foundation, the Army Research Office, and the Office of Naval Research, whose financial support made this workshop possible. A vner Friedman Robert Gulliver v PREFACE Although the field of wave propagation and scattering has its classical roots in the last century, it has enjoyed a rich and vibrant life over the past 50 odd years. Scientists, engineers, and mathematicians have devel oped sophisticated asymptotic and numerical tools to solve problems of ever increasing complexity. Their work has been spurred on by emerging and maturing technologies, primarily concerned with the propagation and reception of information, and the efficient transmission of energy. The vitality of this scientific field is not waning. Increased demands to precisely quantify, measure, and control the propagation and scattering of waves in increasingly complex settings pose challenging scientific and mathematical problems. These push the envelope of analysis and comput ing, just as their forerunners did 50 years ago. These modern technological problems range from using underwater sound to monitor and predict global warming, to periodically embedding phase-sensitive amplifiers in optical fibers to insure long range digital communication.

Fiber Optical Parametric Amplifiers, Oscillators and Related Devices

Author : Michel E. Marhic
Publisher : Cambridge University Press
ISBN 13 : 0521861020
Total Pages : 379 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Fiber Optical Parametric Amplifiers, Oscillators and Related Devices by : Michel E. Marhic

Download or read book Fiber Optical Parametric Amplifiers, Oscillators and Related Devices written by Michel E. Marhic and published by Cambridge University Press. This book was released on 2008 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2007 book comprehensively covers the theory, techniques and practice of all types of fiber OPAs and related devices.

Shaping Light in Nonlinear Optical Fibers

Author : Sonia Boscolo
Publisher : John Wiley & Sons
ISBN 13 : 1119088151
Total Pages : 589 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Shaping Light in Nonlinear Optical Fibers by : Sonia Boscolo

Download or read book Shaping Light in Nonlinear Optical Fibers written by Sonia Boscolo and published by John Wiley & Sons. This book was released on 2017-03-15 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a contemporary overview of selected topics in fiber optics. It focuses on the latest research results on light wave manipulation using nonlinear optical fibers, with the aim of capturing some of the most innovative developments on this topic. The book’s scope covers both fundamentals and applications from both theoretical and experimental perspectives, with topics including linear and nonlinear effects, pulse propagation phenomena and pulse shaping, solitons and rogue waves, novel optical fibers, supercontinuum generation, polarization management, optical signal processing, fiber lasers, optical wave turbulence, light propagation in disordered fiber media, and slow and fast light. With contributions from leading-edge scientists in the field of nonlinear photonics and fiber optics, they offer an overview of the latest advances in their own research area. The listing of recent research papers at the end of each chapter is useful for researchers using the book as a reference. As the book addresses fundamental and practical photonics problems, it will also be of interest to, and benefit, broader academic communities, including areas such as nonlinear science, applied mathematics and physics, and optical engineering. It offers the reader a wide and critical overview of the state-of-the-art within this practical – as well as fundamentally important and interesting – area of modern science, providing a useful reference which will encourage further research and advances in the field.

Stability of Pulses on Optical Fibers with Phase Sensitive Amplifiers

Author :
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (634 download)

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Book Synopsis Stability of Pulses on Optical Fibers with Phase Sensitive Amplifiers by :

Download or read book Stability of Pulses on Optical Fibers with Phase Sensitive Amplifiers written by and published by . This book was released on 1995 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optical Signal Processing in Highly Nonlinear Fibers

Author : Mário Fernando Santos Ferreira
Publisher : CRC Press
ISBN 13 : 0429557191
Total Pages : 98 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Optical Signal Processing in Highly Nonlinear Fibers by : Mário Fernando Santos Ferreira

Download or read book Optical Signal Processing in Highly Nonlinear Fibers written by Mário Fernando Santos Ferreira and published by CRC Press. This book was released on 2020-05-18 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an updated description of the most relevant types of highly nonlinear fibers. It also describes some of their actual applications for nonlinear optical signal processing. Multiple types of highly nonlinear fibers are considered, such as silica-based conventional highly nonlinear fibers, tapered fibers, photonic crystal fibers, and fibers made of highly nonlinear materials, namely lead-silicate, tellurite, bismuth oxide, and chalcogenide glasses. Several nonlinear phenomena occurring on such highly nonlinear fibers are described and used to realize different functions in the area of all-optical signal processing.  Describes several nonlinear phenomena occurring on optical fibers, namely nonlinear phase modulation, parametric and stimulated scattering processes, optical solitons, and supercontinuum generation.  Discusses different types of highly nonlinear fibers, namely silica-based conventional highly nonlinear fibers, tapered fibers, and photonic crystal fibers.  Examines fibers made of highly nonlinear materials, namely lead-silicate, tellurite, bismuth oxide, and chalcogenide glasses.  Describes the application of several nonlinear phenomena occurring on highly nonlinear fibers to realize different functions in the area of all-optical signal processing, namely optical amplification, multiwavelength sources, pulse generation, optical regeneration, wavelength conversion, and optical switching. Mário F. S. Ferreira received his PhD degree in 1992 in physics from the University of Aveiro, Portugal, where he is now a professor in the Physics Department. Between 1990 and 1991, he was at the University of Essex, UK, performing experimental work on external cavity semiconductor lasers and nonlinear optical fiber amplifiers. His research interests have been concerned with the modeling and characterization of multisection semiconductor lasers, quantum well lasers, optical fiber amplifiers and lasers, soliton propagation, nanophotonics, optical sensors, polarization, and nonlinear effects in optical fibers. He has written more than 400 scientific journal and conference publications and several books in the area of mathematical physics, optics, and photonics. He has served as chair and committee member of multiple international conferences, as well as guest editor and advisory board member of several international journals.

AASERT93/The Modeling of High-Speed Nonlinear Optical Communications

Author :
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis AASERT93/The Modeling of High-Speed Nonlinear Optical Communications by :

Download or read book AASERT93/The Modeling of High-Speed Nonlinear Optical Communications written by and published by . This book was released on 1996 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ms. Anne Niculae has been studying the mathematical modeling of technologies which can facilitate high-bandwidth optical communications, specifically: the modeling of novel phase sensitive amplifiers (PSAs) for long distance pulse propagation in nonlinear optical fibers; the modeling of timing jitter in erbium-doped fibers lasers mode locked by an input bit stream.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulation of Pulse Propagation in Nonlinear Optical Fibers

Author : Uwe Bandelow
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (766 download)

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Book Synopsis Simulation of Pulse Propagation in Nonlinear Optical Fibers by : Uwe Bandelow

Download or read book Simulation of Pulse Propagation in Nonlinear Optical Fibers written by Uwe Bandelow and published by . This book was released on 2003 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Properties of Phase-sensitive Fiber-optic Parametric Amplifiers for Signal Processing

Author : Weilin Xie
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Nonlinear Properties of Phase-sensitive Fiber-optic Parametric Amplifiers for Signal Processing by : Weilin Xie

Download or read book Nonlinear Properties of Phase-sensitive Fiber-optic Parametric Amplifiers for Signal Processing written by Weilin Xie and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The capability and performance of the widely deployed fiber-optic and photonic systems strongly depend on the noise and nonlinearities of the optical amplifiers. In this context, phase-sensitive fiber-optic parametric amplifiers (PS-FOPAs), relying on four-wave mixing in optical fibers, outperforms conventional phase-insensitive amplifier thanks to the unique phase-sensitivity that can be exploited for noiseless amplification and mitigation of the nonlinear impairment. In conjunction with the vast gain spectrum and other functionality such as wavelength conversion, they have been regarded as a promising candidate for the next generation optical amplifiers towards all-optical communication and processing.The PS-FOPA is conventionally described by the fundamental coupled wave equations derived from the nonlinear Schrödinger equation that contains only three or four interacting waves. However, for a more general case, the emergence of high-order waves will inevitably affect the phase-sensitivity. The objective of this thesis aims at the thorough investigation of the nonlinear properties in terms of the gain properties and the phase sensitivities with respect to different configurations of a dual-pump signal-idler degenerate PS-FOPA. The more accurate numerical analysis is obtained by using the 7-wave model that incorporates the first order high-order waves stemming from the high-order four-wave mixing processing. This model permits to assess a more precise physical interpretation of the multi-wave interactions based on phase matching conditions, revealing the underlying relations between the dispersion and the phase-sensitivity. Moreover, the simultaneous phase and amplitude regenerative capability of a basic PS-FOPA is evaluated for the overall optimization. It allows fully exploiting the potential ability of a basic PS-FOPA acting as a fundamental building block of the future all-optical functionalities. The analysis approach based on this model permits application-oriented optimization and is of particular guiding significance for design and optimization of PS-FOPA in various scenarios.

Optical Signal Processing in Highly Nonlinear Fibers

Author : Mário Fernando Santos Ferreira
Publisher : CRC Press
ISBN 13 : 9780367492267
Total Pages : 142 pages
Book Rating : 4.4/5 (922 download)

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Book Synopsis Optical Signal Processing in Highly Nonlinear Fibers by : Mário Fernando Santos Ferreira

Download or read book Optical Signal Processing in Highly Nonlinear Fibers written by Mário Fernando Santos Ferreira and published by CRC Press. This book was released on 2020-06-09 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an updated description of the most relevant types of highly nonlinear fibers. It also describes some of their actual applications for nonlinear optical signal processing. Multiple types of highly nonlinear fibers are considered, such as silica-based conventional highly nonlinear fibers, tapered fibers, photonic crystal fibers, and fibers made of highly nonlinear materials, namely lead-silicate, tellurite, bismuth oxide, and chalcogenide glasses. Several nonlinear phenomena occurring on such highly nonlinear fibers are described and used to realize different functions in the area of all-optical signal processing.  Describes several nonlinear phenomena occurring on optical fibers, namely nonlinear phase modulation, parametric and stimulated scattering processes, optical solitons, and supercontinuum generation.  Discusses different types of highly nonlinear fibers, namely silica-based conventional highly nonlinear fibers, tapered fibers, and photonic crystal fibers.  Examines fibers made of highly nonlinear materials, namely lead-silicate, tellurite, bismuth oxide, and chalcogenide glasses.  Describes the application of several nonlinear phenomena occurring on highly nonlinear fibers to realize different functions in the area of all-optical signal processing, namely optical amplification, multiwavelength sources, pulse generation, optical regeneration, wavelength conversion, and optical switching. Mário F. S. Ferreira received his PhD degree in 1992 in physics from the University of Aveiro, Portugal, where he is now a professor in the Physics Department. Between 1990 and 1991, he was at the University of Essex, UK, performing experimental work on external cavity semiconductor lasers and nonlinear optical fiber amplifiers. His research interests have been concerned with the modeling and characterization of multisection semiconductor lasers, quantum well lasers, optical fiber amplifiers and lasers, soliton propagation, nanophotonics, optical sensors, polarization, and nonlinear effects in optical fibers. He has written more than 400 scientific journal and conference publications and several books in the area of mathematical physics, optics, and photonics. He has served as chair and committee member of multiple international conferences, as well as guest editor and advisory board member of several international journals.

Existence and Stability of Multi-pulses with Applications to Nonlinear Optics

Author : Vahagn Emil Manukian
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (65 download)

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Book Synopsis Existence and Stability of Multi-pulses with Applications to Nonlinear Optics by : Vahagn Emil Manukian

Download or read book Existence and Stability of Multi-pulses with Applications to Nonlinear Optics written by Vahagn Emil Manukian and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: In the present work we study the existence and stability of multi-pulses in dynamical systems that arise as traveling-wave equations for a partial differential equation (PDE) with symmetries. The motivation comes from two different models that describe the propagation of pulses in optical fibers. In the first part of the thesis we consider reversible, Z2 symmetric dynamical systems with heteroclinic orbits related via symmetries. The heteroclinic orbits are assumed to undergo an orbit flip bifurcation upon changing appropriate parameters. We construct multi-bump solutions close to the heteroclinic orbits and investigate their PDE stability by using Lin's method and Lyapunov-Schmidt reduction. We apply this abstract theory to a model equation that describes the propagation of pulses in optical fibers with phase sensitive amplifiers. Our results show that stable multi-pulses exist. In the second part we consider parameter-dependent dynamical systems with reflection and SO(2) symmetry, which possess a homoclinic solution to a saddle focus. The reflection symmetry is broken by the second parameter which plays the role of the wave speed. We derive the bifurcation equations for the existence of N-pulse solutions and solve them for N = 3. As a result we obtain standing and traveling 3-pulse solutions which we describe through the phase differences and the distances between consecutive bumps. We also investigate stability of these 3-pulses. We derive the stability matrix for multi-bump solutions and compute to the leading order the location of the eigenvalues for the 3-pulses.

Progress in Optics

Author :
Publisher : Elsevier
ISBN 13 : 0080930182
Total Pages : 417 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Progress in Optics by :

Download or read book Progress in Optics written by and published by Elsevier. This book was released on 2002-12-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains five articles presenting reviews of several topics of current research which are likely to be of interest to optical scientists and optical engineers. The first article, by J. Ohtsubo, deals with the dynamics of feedback-induced instability and chaos. The characteristics of semiconductor lasers based on the rate equations, including various laser structures, are reviewed and the effects of optical feedback in semiconductor lasers are then discussed. the general area of the nonlinear interaction of ultrafast pulses with optical and photonic crystal fibres are discussed. In particular, ultrafast pulse measurements, pulse shaping and pulse control are discussed. transient optical phenomena that take place in the spatial-temporal dynamics of ultrashort pulses. The interplay of diffractive and dispersive phenomena is examined. They include coupled processes of amplitude and phase reshaping, spectral variations and polarity reversal for different types of light pulses. Reflection and refraction effects that take place at the interface between media with time-dependent dielectric susceptibilities are also discussed. principles of optical coherence tomography (OCT). This is a relatively new discipline with important potential applications in macropscopic, microscopic and endoscopic imaging. The article begins with a brief summary of the field and then describes various OCT interferometer configurations and discusses basic sample signal extraction techiques. The article also covers subjects such as contrast generation techniques, resolution, signal processing techiques for image display, image enhancement, speckle suppression and OCT detection sensitivity. A description of optical delay lines used in OCT is also presented. concerned with modulation instability (MI) of electromagnetic waves in inhomogeneous and in discrete media. The article pays special attention to the MI of electromagnetic waves in nonlinear optical fibres with periodic amplification, dispersion and birefringence. The MI in random media is also covered. Other topics discussed in this article are discrete nonlinear systems with cubic, quadratic and vectorial interactions and nonlinear optical systems such as tunnel-coupled filters. Some of the readers may note that authors from six different countries have contributed to this volume, thus helping to maintain the international character of this series.