A normal mode method for propagation modeling in common horizontally strati
fied shallow water, which is called beam-displacement ray-mode (BDRM) theor
y, is introduced. The peculiarity of this method is that the boundary effec
ts on the sound field can be expressed by the equivalent boundary reflectio
n coefficient, so BDRM theory can be extended to elastic bottom easily. The
oretical calculations of shallow-water sound field show that BDRM has high
accuracy and fast speed. The pulse propagation in shallow water is also cal
culated by BDRM, and the calculated waveforms are in good agreement with th
e measured waveforms.