Wave scattering in waveguides

Dacol, Dalcio K.; Roy, Dilip G.

doi:10.1063/1.1563847

Cited by 9 publications

(4 citation statements)

References 13 publications

(3 reference statements)

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“…2 by a wavenumber factor k = / c. The procedure developed in Ref. 2 can be used to obtain equations describing scattering in a general case and it can be formulated without a specific expression for the Green's function in the waveguide. This Green's function obeys Bergmann's extension of the Helmholtz equation 9 to a nonuniform fluid plus appropriate boundary conditions:…”

Section: Scattering In An Inhomogeneous Mediummentioning

confidence: 99%

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The partial-wave expansion for scattering in waveguides

Dacol

Roy

2006

The Journal of the Acoustical Society of America

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The scattering of acoustic waves by objects located inside a waveguide is discussed, assuming that the scattering amplitude for the object in an extended uniform medium is known. The scattering process is described by using an expansion of the scattering amplitude in terms of spherical harmonics. An appropriate multipole decomposition of the waveguide Green's function is developed and the effective scattering amplitude in the waveguide is obtained. An important property of the effective scattering amplitude, the generalized optical theorem, is obtained and its implications for scattering in a waveguide are discussed. The scattering problem is formulated entirely and explicitly in terms of the waveguide Green's functions, which makes this approach very flexible in regard to the choice of the incident field. It also establishes the connection between propagation and scattering and allows for the independent computation of the propagation and scattering aspects of the problem. This is the main advantage of using the scattering amplitude in an extended uniform medium as an input. The connection of this work with previous work in scattering in waveguides is discussed.

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Section: Scattering In An Inhomogeneous Mediummentioning

confidence: 99%

“…With this approach, the scattering properties of the object are subsumed in a series of field-dependent source terms added to the wave equation, the solution of this equation must then satisfy proper boundary conditions on the medium's boundaries. 2 The basic formulation of the approach adopted in this work was presented in Ref. 2.…”

Section: Introductionmentioning

confidence: 99%

The partial-wave expansion for scattering in waveguides

Dacol

Roy

2006

The Journal of the Acoustical Society of America

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“…The scalar diffraction theory developed here can be useful for accurate estimates of the RCS for more complicated and realistic engine intakes and exhaust ducts. The scattering of classical scalar waves by objects confined to the interior of a waveguide or a cavity is also of practical interest [3].…”

Section: Introductionmentioning

confidence: 99%

Wave scattering by axisymmetric arbitrarily shaped cavities with insertions

Vinogradova

Shafalyuk

2012

2012 International Conference on Electromagnetics in Advanced Applications

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“…The Ingenito model cannot account for changes in medium sound speed along the target depth and assumes that the incident field is planar over the target extent. Other approaches [16][17][18][19][20][21][22] for modeling object scattering in a waveguide are similarly limited, applicable to or implemented only for objects contained in an iso-speed layer. Some models 16,17,[23][24][25][26] are only valid for horizontally stratified range-independent environments while others, such as the sonar equation, 27 are only valid for compact scatterers, 28 small compared to the acoustic wavelength, in a waveguide.…”

Section: Introductionmentioning

confidence: 99%

Effects of incident field refraction on scattered field from vertically extended cylindrical targets in range-dependent ocean waveguides

Küsel

Ratilal

2009

The Journal of the Acoustical Society of America

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The effect of incident field refraction on the scattered field from vertically extended cylindrical targets is investigated. A theoretical model for the total scattered field from a cylindrical target in a range-dependent ocean waveguide is developed from Green's theorem. The locally scattered field on the target surface is estimated as a function of the incident field by applying the appropriate boundary conditions on continuity of acoustic pressure and normal velocity, making the model applicable to general penetrable cylinders. The model can account for depth dependence in medium sound speed and hence refraction in the incident field along the target depth. Numerical implementation is done for a passive acoustic reflector, a long cylindrical air-filled rubber hose, often deployed vertically in experiments to provide calibration and charting consistency for wide-area active sonar systems. Analysis with the model indicates that refraction in the incident field along the target depth must be taken into account to accurately estimate the scattered field level from vertically extended cylindrical targets. It is demonstrated that the standard Ingenito waveguide target scattering model, which assumes that the incident field is planar along the target extent, can lead to significant errors of 10 dB or more in estimating the scattered field level.

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Wave scattering in waveguides

Cited by 9 publications

References 13 publications

The partial-wave expansion for scattering in waveguides

The partial-wave expansion for scattering in waveguides

Wave scattering by axisymmetric arbitrarily shaped cavities with insertions

Effects of incident field refraction on scattered field from vertically extended cylindrical targets in range-dependent ocean waveguides

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