TURNING-POINT CONVERGENCE-ZONES IN UNDERWATER SOUND CHANNELS(Ⅱ)A GENERALIZED RAY THEORY

A generalized ray solution,which can be used for calculating the acoustic fields near the causticsand turning points,is obtained by using a generalized phase-integral approximation.This solutionhas a clear physical picture and is convenient for the numerical calculation.The caustic structure andthe intensity distribution at the turning-point convergence-zones in underwater sound channels arediscussed in detail,and the simple and widely applicable intensity expressions are given.The theo-retical analysis shows that for high-pass signals and narrow-band signals,the signals received at theturning-point convergence-zones have the same waveform as the emitted signal or its Hilbert transform.