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The nonlinear propagation of coherent optical fields has been extensively explored in the framework of nonlinear optics, while the linear propagation of incoherent fields has been widely studied in the framework of statistical optics. However, these two fundamental fields of optics have been mostly developed independently of each other, so that a satisfactory understanding of statistical nonlinear...
Summary form only given. Modulation instability (MI) is a common phenomenon in coherent non-linear wave systems; it can be typically observed on top of a broad pulse or an optical beam. In this case, small noise perturbations grow exponentially as the pulse propagates, transferring energy from large wavelengths into smaller wavelengths. In a sense, MI phenomena can be regarded as a precursor of bright...
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