Accession Number : AD0873487

Title :   Composite Math Models for Sonar Transducer Array Systems.

Descriptive Note : Technical publication Sep 66-Dec 69,

Corporate Author : NAVAL UNDERSEA RESEARCH AND DEVELOPMENT CENTER SAN DIEGO CA

Personal Author(s) : Hickman, J. S.

Report Date : FEB 1970

Pagination or Media Count : 61

Abstract : The paper gives a derivation of the entire set of equations which comprise a composite math model for any sonar transducer array system operating in a linear or pseudo-linear manner. Included are the amplifier-delay-line network, the transducer elements of the array, the elastic properties, and geometric configuration of all surfaces and structures including the dome which affect the abiility of the array system to perform its mission and ultimately that part of the ocean affecting the array system. Within the bounds of pseudo-linearity, the composite math model constitutes an exact description of the relevant behavior of the sonar transducer array system; thus, approximations which may be necessary for a given application are perturbations of exact equations rather than equations derived from inexact theories. Furthermore, despite the immense complexity of a sonar transducer array system, the equations which comprise the composite math model are in a form that permits their physical meaning to be readily apparent so physical intuition can be applied. (Author)

Descriptors :   (*SONAR ARRAYS, MATHEMATICAL MODELS), (*ELECTROACOUSTIC TRANSDUCERS, MATHEMATICAL MODELS), SONAR SIGNALS, SONAR PROJECTORS, HYDROPHONES, UNDERWATER SOUND, SURFACE PROPERTIES, MATRICES(MATHEMATICS), FOURIER ANALYSIS, INTEGRALS, DISTRIBUTION FUNCTIONS.

Subject Categories : Acoustic Detection and Detectors

Distribution Statement : APPROVED FOR PUBLIC RELEASE