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Elsevier

Optical Communications from a Fourier Perspective

Fourier Theory and Optical Fiber Devices and Systems

  • 1st Edition - November 17, 2023
  • Latest edition
  • Authors: Palle Jeppesen, Bjarne Tromborg
  • Language: English

Optical Communications from a Fourier Perspective: Fourier Theory and Optical Fiber Devices and Systems covers Fourier theory and signal analysis over photonic component… Read more

Description

Optical Communications from a Fourier Perspective: Fourier Theory and Optical Fiber Devices and Systems covers Fourier theory and signal analysis over photonic components, including time lenses in optical communication. Sections cover wave propagation in optical waveguides based on Maxwell equations and the nonlinear Schrödinger equation. Optical Fourier transform in the form of time lens is covered, for example in modulation format conversion and spectrum magnification, and couplers and their use for optical discrete Fourier transformation are also discussed. Other important subjects are discussed such as shot noise, thermal noise and also the basics of four wave mixing in relation to time lenses. Detailed derivations and a deeper background for the chapters are provided in appendices where appropriate. Some of the theory is more generally applicable beyond optical communication and is of relevance also for communications engineering. The Fourier theory dimension of the book presents the relationship between Fourier series and Fourier integrals and also the related Laplace transform.

Key features

  • Introduces Fourier theory and signal analysis tailored to applications in optical communications devices and systems
  • Provides a strong theoretical background and a ready resource for researchers and advanced students in optical communication and optical signal processing
  • Starts from basic theory and then develops descriptions of useful applications

Readership

Researchers, students, and engineers in optical communications, Researchers, students, and engineers in the areas of electronics, photonics, and telecommunications

Table of contents

1. The Dirac delta function and Heaviside step function

2. Fourier series, Parseval's theorem, FFT and Cooley-Tukey algorithm

3. Fourier integrals and Fourier series

4. Properties of the Fourier transform and Heaviside's step function

5. Complex signal, complex envelope and Hilbert transform

6. Correlation functions, spectral density, Wiener-Khinchine theorem

7. Linear, time-invariant systems

8. Transfer matrices and frequency filters

9. Laplace transforms, transfer functions, Nyquist criterion

10. Maxwell's equations, optical waveguides and Poynting's vector

11. Pulse propagation in optical fibers

12. Split step Fourier method and nonlinear Schrodinger equation

13. Introduction to modulation formats

14. Required bandwidth for heterodyne and homodyne detection

15. Bandpass noise

16. Bit error rate

17. Pulse shaping using optical Fourier transform

18. Spectrum magnification

19. Optical Fourier transformation, dispersion compensation, jitter suppression

20. Regeneration of WDM phase-modulated signals

21. Time-space duality, dispersion and diffraction, time lens

22. Couplers and their use for optical DFT

23. Multicarrier modulation, OFDM, DFT, Nyquist modulation

24. Optical orthogonal frequency division modulation

Review quotes

"...the book contains a short discussion on the basic relations for the wave propagation in optical fibers but a detailed discussion of the specific propagating modes is outside the scope of this book… An important focus of the book is related to all-optical signal processing...This book covers a vast amount of material and it impresses by a very thorough analysis with extensive appendices...The book is thus very well suited for an advanced undergraduate student with respect to the first part of the book and for a graduate student with respect to the second part of the book. It is also very helpful that each chapter is concluded with a short summary at its end...represents a valuable extension to the existing literature providing the reader with a very deep knowledge for better understanding advanced optical communication systems."—Klaus Petermann, Technische Universität Berlin, Germany, IEEE Photonics Society News

Product details

  • Edition: 1
  • Latest edition
  • Published: November 17, 2023
  • Language: English

About the authors

PJ

Palle Jeppesen

Palle Jeppesen is professor emeritus at the Technical University of Denmark (DTU) and a researcher with many years’ experiences in optical fiber communications, lasers, fibers, systems, and ultra-high-speed optical communications. He has been a member of the Danish Technical Research Council, the Scientific Council for the Danish National Encyclopedia, and on the boards of a number of large corporate entities. His current research interests are optical signal processing, optical multi-level modulation formats, and terabit optical communication.

Affiliations and expertise
Palle Jeppesen, Professor Emeritus, Technical University of Denmark (DTU), Department of Electrical and Photonics Engineering, Denmark

BT

Bjarne Tromborg

Bjarne Tromborg was formerly a research and teaching professor at the Technical University of Denmark (DTU) best known for his work in particle physics and photonics. He has been a member of the Danish Natural Science Research Council and many technical program committees. He has published widely on the topics of optoelectronics, semiconductor lasers, and optical communications

Affiliations and expertise
Technical University of Denmark (DTU)

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