A typical deep water acoustic time-front consists of well-defined early ray-like arrivals followed by a diffuse finale. However, internal waves scatter the time-front to cause intensity and phase fluctuations. Internal waves also ensonify the shadow zone, where no acoustic energy is expected to arrive. Previous studies have used the high-frequency based path-integral method or complementary Monte-Carlo Parabolic Equation (PE) simulations to study the time-front statistics. A physicsbased model that relates the wave-field statistics, and the internal wave spectrum, to the broadband statistics, is not yet available. This work builds a new broadband scattering model, which is based on the eigenfunctions of the waveguide, termed modes. The modes are depth-dependent functions, which form an orthonormal basis set that span the pressure field. The mode-based model is based around the
mode-based transport theory approach to predict the cross-mode correlations over the pulse bandwidth. The model predictions are set up for a broadband source with 75 Hz center frequency and 30 Hz bandwidth. The model considers modes 1-75 to predict the broadband Transmission Losses (TL), time wander, and intensity levels in the shadow zone, along various sections of a typical deep water time-front. The model predictions are compared with pulse statistics from Monte-Carlo PE simulations. The predictions of pulse statistics show good agreement with PE simulations. Applying the transport theory is however computationally expensive for a large number of modes. The limited number of modes (1-75) in the model hence cause minor deviations in intensity for the early ray-like arrivals, and yet work well for the finale.