Parameter sensitivity of acoustic propagation in models of curved fronts over uniform slopes
Authors
DeCourcy, Brendan J.
ORCID
Loading...
Other Contributors
Siegmann, W. L.
Lin, Ying-Tsong
Herron, Isom H., 1946-
Kapila, Ashwani K.
Lin, Ying-Tsong
Herron, Isom H., 1946-
Kapila, Ashwani K.
Issue Date
2017-08
Keywords
Mathematics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
Abstract
A modification of the sloping bottom curved front model including continuous sound speed variation is examined for the importance of front width. Analysis of parameter sensitivity in the idealized front is used as a baseline for comparisons. The proposed model for a continuous front includes a range dependent sound speed representation chosen for mathematical convenience. Using the same physical derivation of mode number conservation and confirmation through asymptotic approximation, the continuous front model yields convenient equations for parameter dependence of along-front wavenumber. These equations agree with the idealized front results for the real part of the horizontal wavenumber as the front width diminishes, and captures the significantly altered behavior of modal attenuation coefficients. A comparison of partial Transmission Loss (TL) fields for the idealized and continuous fronts further illustrates the behavioral differences between a sharp front and fronts of varying width. These differences include leaky modes that decay faster along shore in the continuous front than analogous modes in the idealized front, as well as the introduction of near-resonant modes which have a significant effect on the near-field and do not exist in the idealized front formulation.
Description
August 2017
School of Science
School of Science
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
Access
Restricted to current Rensselaer faculty, staff and students. Access inquiries may be directed to the Rensselaer Libraries.