<p> In this thesis, we have developed a full time domain approach for the simulation of pulse propagation in the optical fiber. Same as split-step method in frequency domain, this approach also treats the linear and nonlinear process alternately. To avoid the back and forth transformation between time and frequency domains, a digital Infinite Impulse Response (IIR) filter is used to treat the linear propagation directly in time domain. The signal samples pass through a pre-extracted IIR digital filter where the convolution is simply replaced by a series of operations that consist of shift and multiplication only. </p> <p> Compared with frequency domain method, this approach is fully realized in a "data-flow" fashion. Compared with time domain finite impulse response (FIR) method, this approach can save more memory and computation time. </p> <p> This approach is verified by comparing with the conventional frequency domain split-step Fourier method, and it is applied to the simulation of the pulse propagation, including polarization mode dispersion (PMD) effect in the optical fiber. </p> / Thesis / Master of Applied Science (MASc)