Optical Communications from a Fourier Perspective

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

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• Análise real, variáveis ??reais
• Ciência dos materiais
• Óptica aplicada
• Eletromagnetismo eletricidade, magnetismo e
• A tecnologia laser e holografia
• Processamento de sinais
• Engenharia das comunicações e telecomunicações

Fourier series; Fourier integrals; Dirac delta function; Laplace transforms; optical transmission systems; optical fibers; modulation formats; Maxwell equations; nonlinear Schroedinger equation; time lenses