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Gaussian-beam transmission formula

An exact Gaussian-beam transmission formula is presented for the output of a receiving transducer due to the field of a transmitting transducer. The field of the transmitting transducer is expressed in terms of a Gaussian-beam transmitting characteristic and Gaussian beams propagating in all directions. The output of the receiving transducer is expressed in terms of a Gaussian-beam receiving characteristic and the output of Gaussian-beam receivers. The branch-cut disks for both transmission and reception are centered at the reference point of the transducer. The transmission formula provides an efficient way of computing near-field interactions between transducers.