A simple method of calculating pulse amplitudes and shapes arising from reflection from linear segments
Abstract
A new formulation for the amplitude and pulse shape from reflections from a linear segment for a bistatic planar geometry is presented. The formulation is useful in calculating reverberation from high intensity signals in an deep ocean basin where long range propagation can occur. This reverberation is important in calculating the acoustic interference to sonar arising from the detonation of nuclear or large chemical explosives, and for modeling long range active sonar. The reflections computed with the new formulation are significantly different from those of earlier versions of the reverberation model, with pulses generally shorter and more intense, leading to predictions of louder but more sporadic reverberation than previously estimated. 9 refs
 Authors:
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab., CA (United States)
 Sponsoring Org.:
 USDOE, Washington, DC (United States)
 OSTI Identifier:
 10126339
 Report Number(s):
 UCRLID108539
ON: DE92008979; IN: DDV890005
 DOE Contract Number:
 W7405ENG48
 Resource Type:
 Technical Report
 Resource Relation:
 Other Information: PBD: 2 Jan 1988
 Country of Publication:
 United States
 Language:
 English
 Subject:
 45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; UNDERWATER; SOUND WAVES; REFLECTION; EXPLOSIONS; DETECTION; WAVE PROPAGATION; SONAR; GEOMETRY; PULSES; AMPLITUDES; SIGNALS; NUCLEAR EXPLOSION DETECTION; 450300
Citation Formats
Erickson, S.A. Jr. A simple method of calculating pulse amplitudes and shapes arising from reflection from linear segments. United States: N. p., 1988.
Web.
Erickson, S.A. Jr. A simple method of calculating pulse amplitudes and shapes arising from reflection from linear segments. United States.
Erickson, S.A. Jr. 1988.
"A simple method of calculating pulse amplitudes and shapes arising from reflection from linear segments". United States.
doi:.
@article{osti_10126339,
title = {A simple method of calculating pulse amplitudes and shapes arising from reflection from linear segments},
author = {Erickson, S.A. Jr.},
abstractNote = {A new formulation for the amplitude and pulse shape from reflections from a linear segment for a bistatic planar geometry is presented. The formulation is useful in calculating reverberation from high intensity signals in an deep ocean basin where long range propagation can occur. This reverberation is important in calculating the acoustic interference to sonar arising from the detonation of nuclear or large chemical explosives, and for modeling long range active sonar. The reflections computed with the new formulation are significantly different from those of earlier versions of the reverberation model, with pulses generally shorter and more intense, leading to predictions of louder but more sporadic reverberation than previously estimated. 9 refs},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1988,
month = 1
}

A new formulation for the amplitude and pulse shape from reflections from a linear segment for a bistatic planar geometry is presented. The formulation is useful in calculating reverberation from high intensity signals in an deep ocean basin where long range propagation can occur. This reverberation is important in calculating the acoustic interference to sonar arising from the detonation of nuclear or large chemical explosives, and for modeling long range active sonar. The reflections computed with the new formulation are significantly different from those of earlier versions of the reverberation model, with pulses generally shorter and more intense, leading tomore »

Generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. [Solution of sparse, symmetric, positivedefinite systems of linear equations arising from discretization of boundaryvalue problems for elliptic partial differential equations]
A generalized conjugate gradient method is considered for solving sparse, symmetric, positivedefinite systems of linear equations, principally those arising from the discretization of boundary value problems for elliptic partial differential equations. The method is based on splitting off from the original coefficient matrix a symmetric, positivedefinite one which corresponds to a more easily solvable system of equations, and then accelerating the associated iteration by using conjugate gradients. Optimality and convergence properties are presented, and the relation to other methods is discussed. Several splittings for which the method seems particularly effective are also discussed; and for some, numerical examples are given.more » 
Simple solution to a problem arising from the processing of finite accuracy digital data using integer arithmetic
The reconstruction of physical events by digital electronic processing of multiparameter analog data introduces artifacts caused by the digitization process. Several methods of minimizing these artifacts are described. 3 figures. 
Solution of homogeneous systems of linear equations arising from compartmental models
Systems of linear differential equations with constant coefficients, Ax = xdot, with the matrix A having nonnegative offdiagonal elements and zero column sums occur in compartmental analysis. The steadystate solution leads to the homogeneous system of linear equations Ax(infinity) = xdot(infinity) = 0. LU factorization, the Crout algorithm, error analysis, and solution of a modified system are treated. 3 figures.