title: A depth-dependent formula for shallow water propagation.
abstract: In shallow water propagation, the sound field depends on the proximity of the receiver to the sea surface, the seabed, the source depth, and the complementary source depth. While normal mode theory can predict this depth dependence, it can be computationally intensive. In this work, an analytical solution is derived in terms of the Faddeeva function by converting a normal mode sum into an integral based on a hypothetical continuum of modes. For a Pekeris waveguide, this approach provides accurate depth dependent propagation results (especially for the surface decoupling) without requiring complex calculation methods for eigenvalues and corresponding eigenfunctions.
authors.affiliation: Behavioural Biology, Institute of Biology, Leiden University, Sylviusweg 72, 2333 BE, The Netherlands.
authors.forename: Hüseyin Özkan
authors.initials: HÖ
authors.lastname: Sertlek
authors.affiliation: TNO, Acoustic and Sonar Group, P.O. Box 96864, 2509 JG, The Hague, The Netherlands.
authors.forename: Michael A
authors.initials: MA
authors.lastname: Ainslie