Excitation of low-frequency acoustical signals by a vertical array of interacting emitters in oceanic waveguides

We present the results of experiments on the excitation of joint oscillations in a system of electromagnetic emitters submerged in a fluid having the shape of rigid cylinders with ring elastic membranes in the end faces. A mathematical model of the antenna formed by the given set of sound emitters is constructed. Interaction of emitters is considered through the additive pressures exerted on each of the membranes by sound waves excited by neighboring emitters. Variations in pressures of gases filling the cylinders and their influence on oscillations of membranes are also considered. We put forth a system of the integro-differential equations in partial derivatives with decelerations over time describing the forced joint oscillations of emitters. In the harmonic case, solutions to the system are obtained. Numerical calculations are compared with experimental data to verify the model and improve its parameters.