Optical communications from a Fourier perspective : Fourier theory and optical fiber devices and systems /

Optical Communications from a Fourier Perspective: Fourier Theory and Optical Fiber Devices and Systems covers a broad range of subjects spanning Fourier theory and signal analysis over photonic components, including time lenses in optical communication.

Αποθηκεύτηκε σε:

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας:	Jeppesen, Palle
Άλλοι συγγραφείς:	Tromborg, Bjarne
Μορφή:	Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:	Αγγλικά
Έκδοση:	Amsterdam : Elsevier, 2024.
Θέματα:	Optical communications. Télécommunications optiques. Optical communications
Διαθέσιμο Online:	ScienceDirect
Ετικέτες:	Προσθήκη ετικέτας Δεν υπάρχουν, Καταχωρήστε ετικέτα πρώτοι!

Πίνακας περιεχομένων:

Front Cover
Optical Communications From a Fourier Perspective
Copyright
Contents
Preface
Acknowledgments
1 The Dirac delta function and Heaviside step function
1.1 Definition of the Dirac delta function
1.2 Dirichlet integrals
1.3 Properties of the delta function
1.4 The Heaviside step function
1.5 Summary
2 Fourier series, Parseval's theorem, FFT and Cooley-Tukey algorithm
2.1 Fourier series
2.2 Train of rectangular pulses
2.3 Train of delta pulses and the comb function
2.4 Parseval's power theorem for periodic signals
2.5 The discrete Fourier transform
2.5.1 Discrete Fourier transform of a sampled function
2.6 FFT based on Cooley-Tukey algorithm
2.7 Summary
3 Fourier integrals and series
3.1 The Fourier transformation and the Fourier integral theorem
3.2 From Fourier series to integrals
3.3 From Fourier integrals to series
3.4 Notation
3.5 Summary
4 Properties of the Fourier transform and Heaviside's step function
4.1 Important properties
4.1.1 Convolution of two functions
4.1.2 Convolution theorem for the discrete Fourier transform
4.2 Important examples of Fourier transforms
4.3 Relation between pulse and spectral widths
4.3.1 Spectral bandwidth of a real signal
4.4 Fourier transform of the Heaviside step function
4.4.1 The principal value integral
4.5 Integration theorem and other examples involving the step function
4.6 Sampling theorem for aperiodic functions
4.7 Numerical calculation of the Fourier transform
4.7.1 DFT and differential operators
4.7.2 Fourier transforms and window functions
4.8 Numerical calculation of the inverse Fourier transform
4.9 Summary
5 Complex signal, complex envelope, and Hilbert transform
5.1 Complex signal
5.2 Complex envelope of a bandpass signal.
8 Transfer matrices and frequency filters
8.1 Transfer functions, transfer matrices, and quadrature filter
8.2 Frequency filters
8.2.1 Third-order lowpass Butterworth filter
8.2.2 Third-order highpass Butterworth filters
8.2.3 Bandpass filters
8.3 Summary
9 Laplace transforms, transfer functions, Nyquist criterion
9.1 The Laplace transform and its inverse
9.2 Important properties of Laplace transform
9.3 Important examples of Laplace transforms
9.4 Transfer functions for passive and active LTI systems
9.5 Laplace-method applied on series resonant circuit
9.6 Transimpedance front end
9.7 Nyquist criterion
9.8 Summary
10 Maxwell's equations, optical waveguides, and Poynting vector
10.1 Maxwell's equations and Helmholtz equation
10.2 Wave propagation in planar optical waveguide
10.3 Wave propagation in a step-index optical fiber
10.4 Wave propagation in a graded-index optical fiber
10.5 Derivation of the wave equation for both rectangular and circular waveguide
10.6 Poynting vector and photodetection
10.7 Summary
11 Pulse propagation in optical fibers
11.1 Fundamental equations for a general pulse shape
11.2 Introduction of a new time reference
11.3 Fiber impulse response
11.4 Introduction of a Gaussian input pulse
11.5 Propagation of a Gaussian pulse
11.6 Material and waveguide dispersion
11.7 Pulse propagation in a dispersion compensating fiber
11.8 Summary
12 Split-step Fourier method and nonlinear Schr̲dinger equation
12.1 The nonlinear Schr̲dinger equation
12.2 Operators for dispersion and nonlinearity
12.3 Split-step Fourier method
12.3.1 Symmetrized split-step Fourier method
12.4 Fundamental soliton solution to the NLSE
12.4.1 Numerical example
12.5 Summary
13 Introduction to modulation formats.
13.1 Intensity modulation and direct detection
13.2 ASK, PSK, and FSK binary modulation
13.3 Multilevel modulation formats
13.3.1 Phase modulator
13.3.2 Delay interferometer
13.3.3 Mach-Zehnder modulator
13.3.4 Dual Mach-Zehnder modulator
13.4 Differential binary and quadrature PSK
13.4.1 Precoding and DQPSK modulation
13.4.2 DQPSK receiver with interferometric direct detection
13.4.3 DQPSK receiver with heterodyne detection
13.5 Short introduction to PDM and WDM
13.6 Summary
14 Required bandwidth for heterodyne and homodyne detection
14.1 Baseband signal
14.2 Modulated transmitter
14.3 Heterodyne detection
14.4 Homodyne detection
14.5 Summary
15 Bandpass noise
15.1 Introduction
15.2 Gaussian bandpass noise
15.3 Formulas for autocorrelation functions and power spectral densities
15.4 Autocorrelation and cross-correlation functions of quadrature components
15.5 Power spectral density functions of quadrature components
15.6 Proof of statistical independence of quadrature components
15.7 Bandlimited white noise
15.8 Summary
16 Bit error rate
16.1 Receiver noise in direct ASK detection
16.2 Bit error rate for ASK direct detection
16.3 ASK direct detection and the quantum limit
16.4 Synchronous ASK heterodyne detection
16.5 Synchronous ASK homodyne detection
16.6 Synchronous BPSK heterodyne detection
16.7 Synchronous BPSK homodyne detection
16.8 Summary
17 Pulse shaping using optical Fourier transform
17.1 Output pulse shaping using Cd configuration
17.1.1 Generation of rectangular optical pulse shape
17.2 Output spectrum shaping using a dC configuration
17.3 OTDM-to-WDM conversion using a dC configuration
17.4 OTDM-to-WDM conversion in WDM-PON
17.5 WDM-to-OTDM conversion using a dC conversion.
17.6 WDM-to-OTDM conversion using a complete dCd configuration
17.7 WDM-to-OTDM conversion using a Cd configuration
17.8 WDM-to-OTDM conversion using a complete CdC configuration
17.9 Optical Nyquist transmission using time-domain optical Fourier transformation
17.10 Summary
18 Spectrum magnification
18.1 Gaussian input pulse
18.2 Rectangular input pulse
18.3 Spectrum magnification of WDM signals
18.4 Summary
19 Optical Fourier transformation, dispersion compensation, jitter suppression
19.1 Dispersion compensation for general input pulse shape
19.1.1 Gaussian input reproduced to Gaussian output
19.1.2 Gaussian input pulse reproduced completely
19.2 Time lens used for jitter suppression in direct detection receiver
19.3 Trends and opportunities for time lenses
19.4 Summary
20 Regeneration of WDM phase-modulated signals
20.1 FWM basics
20.2 Nonlinear equations for nonstatic fields
20.3 Degenerate FWM
20.3.1 Degenerate pumps. Phase-insensitive amplifier
20.3.2 Transfer of chirp from pump to idler by degenerate FWM
20.4 Degenerate signal and idler. Phase sensitive amplifier
20.5 Time lenses and WDM phase regeneration for BPSK modulation
20.5.1 The phase regenerator
20.6 Summary
21 Time-space duality, dispersion and diffraction, time lens
21.1 Gaussian pulse propagating in a dispersive fiber
21.2 Introduction to the Gaussian beam
21.3 Relations between dispersion of a narrow pulse and diffraction of a narrow beam
21.3.1 Fresnel-Kirchhoff diffraction
21.3.2 Frauenhofer diffraction
21.4 Comparison with thin optical cell with quadratic index variation
21.5 Comparison with thin optical lens
21.6 Summary
22 Couplers and their use for optical DFT
22.1 Scattering matrices
22.2 Optical DFT using an N<U+00D7>N coupler
22.3 Summary.

Optical communications from a Fourier perspective : Fourier theory and optical fiber devices and systems /

Παρόμοια τεκμήρια