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This lecture covers the definition of the Fourier transform and its application in describing waves in single-mode fibers, including the propagation of chirped pulses and the effect on the spectrum. It also delves into the concept of propagation constants, discussing the real and imaginary parts, effective refractive index, and the linear and nonlinear contributions. The lecture further explores the linear part of the propagation constant, dispersion parameters, and the relationship between phase velocity and group velocity.