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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. 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. The book covers wave propagation in optical waveguides based on Maxwell equations and the nonlinear Schrödinger equation. Various modulation formats are addressed along with coherent detection and required bandwidth. 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 such as noise, linewidth, and coherence are discussed in relation to semiconductor lasers. Detailed derivations and a deeper background for the chapters are provided in appendices where appropriate. - 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