This dissertation discusses the spectrum broadening and pulse compression ofthe ultrashort pulse propagation in cascaded hollow fibers, by solving the GeneralizedNonlinear Schr?dinger Equation with the Split Step Fourier Method. The simulationshows that the technique using cascaded hollow fibers is a reliable route to achievefew to mono-cycle pulses of high energy. The main contents of this dissertation can beclassified as follows:1. Deduction of correct spectrum broadening formula for the ultralshort pulsepropagation in cascaded hollow fibers from the spectrum broadening formula;2. Calculation of the spectrum broadening of the ultralshort pulse propagationin hollow fibers at different conditions;3. Calculation and analysis of the spectrum broadening, phases andcompression possibility of the ultrashort pulse propagation in cascaded hollowfibers, by solving the Generalized Nonlinear Schr?dinger Equation with the SplitStep Fourier Method, and demonstrate the benefits of using cascaded hollowfibers with different radius to achieve ultralshort pulse of high energy.
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