Normal mode propagation of impulsive sound with the moving source and receiver

A representation of impulsive sound propagation with the moving source and receiver in ocean waveguides is derived based on the normal mode theory. The Doppler frequency shift of individual normal mode of narrow-band pulse is analyzed. By studying the correlation between emitted and received signals, the Doppler matched condition and the Doppler compensation interval are obtained. An experiment of long-range impulse propagation at 55 km in shallow water is to verify for testing the theoretical results of the Doppler shift compensation.