The saddle point method applied to some problems in acoustics

The paper presents examples of applying the saddle point method (called also the method of the steepest descent path) to some problem s of acoustics. The method is shortly reminded in its basic form and more complex options which, however, improve the results and widen the range of eventual applications. As examples the phenomena of reflection and transmission of the spherical wave at a fluid-fluid interface and the far field radiated from the circular duet are discussed.