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.
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| Format: | Electronic eBook |
| Language: | English |
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Amsterdam :
Elsevier,
2024.
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| Online Access: | ScienceDirect |
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| 082 | 0 | 4 | |a 621.382/7 |2 23/eng/20240206 |1 https://id.oclc.org/worldcat/ddc/E3PrwR8hWg3gJycjXhMvgcqX3w |
| 100 | 1 | |a Jeppesen, Palle. | |
| 245 | 1 | 0 | |a Optical communications from a Fourier perspective : |b Fourier theory and optical fiber devices and systems / |c Palle Jeppesen, Bjarne Tromborg. |
| 260 | |a Amsterdam : |b Elsevier, |c 2024. | ||
| 300 | |a 1 online resource | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Optical communications. | |
| 650 | 6 | |a Télécommunications optiques. |0 (CaQQLa)201-0016343 | |
| 650 | 7 | |a Optical communications |2 fast |0 (OCoLC)fst01046655 | |
| 700 | 1 | |a Tromborg, Bjarne. | |
| 776 | 0 | 8 | |i Print version: |z 0443238006 |z 9780443238000 |w (OCoLC)1389877608 |
| 856 | 4 | 0 | |3 ScienceDirect |u https://www.sciencedirect.com/science/book/9780443238000 |