A theoretical analysis of a sound profile in an ocean

As sound velocity in an ocean is influenced by the temperature and pressure of the water, it can be approximated as a function of depth. The authors derived a relation between sound velocity and ocean depth, which is called the `sound profile´, which can be calculated from transmitted and received signals by using a sonar system. Further, they derived ray paths of sound energy in deep water where temperature is assumed to be constant. For simplifying an analysis of the sound profile, the authors consider an ocean to be horizontally divided into n layers with different sound profiles. Finally, the authors made a program for estimating sound profile on the condition that an ocean is divided into 3 layers