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The program utilized the Fast Fourier Transform and its inverse to simulate the effects of third-order dispersion on pulse shaping during transmission in optical fibers. Third-order dispersion is a phenomenon where the phase velocity of a wave is dependent on the wave's frequency, resulting in a distortion of the pulse shape. By using the Fast Fourier Transform and its inverse, the program was able to accurately model and analyze the behavior of pulses in optical fibers. This is an important area of study, as optical fibers are crucial components in modern communication systems and understanding their behavior is essential for improving their performance.