Dense Sets And The Projection Theorem For Acoustic Harmonic Waves In A Homogeneous Finite Depth Ocean

Gilbert, Robert P., 1932-; Xu, Yongzhi

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Dense Sets And The Projection Theorem For Acoustic Harmonic Waves In A Homogeneous Finite Depth Ocean

1988
By Gilbert, Robert P., 1932- ; Xu, Yongzhi
Series: DEL-SG

Details

Personal Author:

Gilbert, Robert P., 1932- ; Xu, Yongzhi
NOAA Program & Office:

Sea Grant ; OAR (Oceanic and Atmospheric Research)
Sea Grant Program:

DELU (Delaware Sea Grant)
Description:

In a homogeneous constant depth ocean with a free surface and a rigid bottom, the propagating outgoing acoustic waves will evanesce except for a finite number of propagating modes. Here the authors consider the density properties of the propagating far-field in a proper subspace of "L2(D1)" where "D1" is the unit cylinder. The propagating far field is decomposed into orthogonal components which allows a numerical algorithm to be generated for the express purpose of reconstructing an object imbedded in a finite depth ocean.
Keywords:

Elastic plates and shells
Series:

DEL-SG
Sea Grant Document Number:

DELU-T-88-004
Document Type:

Technical Report
Funding:

Grant no. NA86AA-D-SG040
Rights Information:

Public Domain
Compliance:

Library
Main Document Checksum:

urn:sha256:150c302a684d71d5f74e660dee92fd8d578905ff37ef207571cd5d573f2a6938
Download URL:

https://repository.library.noaa.gov/view/noaa/39861/noaa_39861_DS1.pdf
File Type:

[PDF - 311.16 KB ]

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