Accession Number : AD0758019

Title :   A Statistical Theory of Reverberation and Similar First Order Scattered Fields (A). Supplementary Remarks: Focussing Effects with a Velocity Gradient (Aa). Probability Models of Received Scattered and Ambient Fields (B). Supplement (Ba).

Descriptive Note : Rept. for Apr 68-Dec 72,

Corporate Author : MIDDLETON (DAVID) CAMBRIDGE MASS

Personal Author(s) : Middleton,David

Report Date : DEC 1972

Pagination or Media Count : 92

Abstract : Eariler work of the author (1967) on reverberation and scattering is extended to include absorption, multiple reflection, and non-zero velocity gradients. The results are extended and modified to include the focusing effects of a velocity gradient. The focusing factor, (beta sub Q) is derived in detail for conventional ray tracing and outlined for caustics and foci. Explicit first-order probability models are constructed for mixed gauss and poison processes, including various moments of scattered (and ambient) fields. The supplement updates some of the results therein, indicating improved analytical models. (Author Modified Abstract)

Descriptors :   (*UNDERWATER SOUND, REVERBERATION), (*INFORMATION THEORY, STATISTICAL ANALYSIS), STOCHASTIC PROCESSES, MATHEMATICAL MODELS, ABSORPTION, REFLECTION, SONAR SIGNALS, DOPPLER EFFECT, SCATTERING

Subject Categories : Cybernetics
      Acoustic Detection and Detectors
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE