On optimal acoustic field excitation in oceanic waveguides

We propose criteria and develop methods for stable optimization when synthesizing acoustic fields in the case of their excitation by a finite set of coherent sources in oceanic waveguides. As an example, we consider methods of amplitude-phase focusing of the field of a vertical emitting array to a given point of a refractive waveguide. We show that the problem of optimal field focusing can be approximately reduced to that of focusing of the most powerful and stable wave components. We use the ray representation of the field.