This thesis researches the mechanism of acoustic mode coupling in inhomogeneous water volume and primarily analyzes the interference of the acoustic intensity as a function of source range and frequency.

The common method of finding normal coordinate for the multidimensional linear microvibration;

Then,it introduces the normal coordinate and its operator.

Then the paper used the projection operator to structure the normal coordinate component,thus combined 15 normal vibration patterns of propadiene molecule.

Based on the theory of the particles suspended in fluid experience acoustic radiation forces and the structure model of one-dimensional multilayer resonance separator,the structure model based on the two-dimensional normal vibration modes was proposed.

This paper studies the normal mode fluctuation of sound propagation in random shallow water.

This method is based on the coupled mode-parabolic equation method(CMPE) and the normal mode solution is carried out with the aid of Galerkin s method.

Based on the Wave Equation it is derived the propagation model of a moving source,then extended the result to the normal mode solution which is proper for computer implementation.