Iterative Scattering of a Gaussian Beam by an Array of Circular Conducting and Dielectric Cylinders

Elsherbeni, Atef Z.; Hamid, M.; Tian, Guocai

doi:10.1163/156939393x00507

Cited by 77 publications

(57 citation statements)

References 12 publications

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“…The problem of scattering of laser and electromagnetic Gaussian beams by cylindrical objects has been the subject of various studies [46,47]. Here, we shall investigate the same problem in an acoustic context.…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

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Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Azarpeyvand

2013

Journal of Sound and Vibration

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ABSTRACT-The acoustic radiation force resulting from a 2D focused Gaussian beam incident on cylindrical objects in an inviscid fluid is investigated analytically. The incident and the reflected sound fields are expressed in terms of cylindrical wave functions and a weighting parameter, describing the beam shape and its location relative to the particle.Our main interest here is to study the possibility of using Gaussian beams for axial and lateral handling of rigid cylindrical particles by exerting attractive forces, towards the beam source and axis, respectively. Results have been presented for Gaussian beams with different waist sizes and wavelengths and it has been shown that the interaction of a focused Gaussian beam with a rigid cylinder can result in attractive axial and lateral forces under specific operational conditions. Results have also revealed that attractive axial forces generally occur when the backscattering amplitude is suppressed. The results provided here may provide a theoretical basis for development of single-beam acoustic handling devices.

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Section: Incident Gaussian Fieldmentioning

confidence: 99%

“…The incident Gaussian beam, , with complex coordinate system, i.e. having amplitude and phase distribution, satisfies the following two-dimensional Helmholtz equation [46][47][48][49],…”

Section: Incident Gaussian Fieldmentioning

confidence: 99%

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Azarpeyvand

2013

Journal of Sound and Vibration

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“…When the cross-polarized RCS is desired, or | m (r) − 1| 1 is not satisfied, these quantities can be obtained from the second term in the series but at the cost of a much more elaborate technique that necessitates the calculation of the field and of the Green's function inside the mean medium [12]. However, the convergence of the Born series is not guaranteed and, if it converges, more than two terms may be needed in the series to achieve a reasonable accuracy [13,14]. For a given random realization of f (r), the cost of an "exact" numerical solution of this very large problem via a full-wave calculation performed in the frequency domain with a boundary element and finite element method (BE-FEM) is prohibitive even when efficient domain decomposition methods are employed (e.g., [5,6]).…”

Section: Introductionmentioning

confidence: 99%

Solution of the Electromagnetic Scattering Problem From an Electrically Large Random Dielectric Medium

Stupfel¹,

Picard²

2013

PIER B

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Abstract-The time-harmonic electromagnetic scattering problem from a random inhomogeneous dielectric medium (here a turbulent plasma wake created by the atmospheric reentry of a vehicle) is considered. The electronic density of the plasma, that gives rise to its dielectric permittivity, has a fluctuating part f (r), the variance and correlation function of which are known a priori. Because the electrical dimensions of the wake can be very large, the numerical solution of Maxwell's equations via a full-wave calculation performed with a boundary element and finite element method is prohibitive when statistical quantities such as the mean Radar Cross Section (RCS) and its variance are required, that necessitate a large number of random realizations. To remedy this difficulty, two approximations are considered and illustrated for a 2D scattering problem. First, a Mie series approach is adopted where the medium is discretized with small disks, thus reducing considerably the number of unknowns for a given random realization of f (r), and a domain decomposition method is proposed to further reduce the complexity of the numerical solution of the corresponding system. Second, the statistical mean and the variance of the RCS are derived in closed-form from the Born approximation and yield accurate results when, as expected, the statistical mean of the relative dielectric permittivity is close to unity and | f (r)| is small. Conversely, it is shown how these expressions can be used to validate the results obtained with the Mie series approximation. Numerical examples are presented that illustrate the potentialities of these techniques.

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“…Then in [16], the similar iterative boundary condition technique is extended and used for the plane wave scattering from the arbitrarily oriented multi circular cylinders made up of the perfect conductor or dielectric materials. Also in [17], the Gaussian beam scattering from the similar circular cylinders are analyzed. In all these papers it is indicated that iterative boundary condition technique is very safe in terms of the convergence and accuracy.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Nonconcentric Reflector Antenna-in-radome System by the Iterative Reflector Antenna and Radome Interaction

Oğuzer¹,

Altintas²

2007

Journal of Electromagnetic Waves and Applications

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Abstract-Nonconcentric reflector antenna-in-radome systems are used in applications especially requiring smaller radome coverages. The analysis of this two-dimensional geometry is performed for the Epolarization case. Here the geometry is decomposed into two parts and the analysis is performed by imposing the boundary conditions on each part as an iterative manner. This is known as the iterative boundary condition method in the literature. Convergence and accuracy are established numerically and it is seen that the expectations are really verified in reasonable CPU times. Also various numerical results are obtained for the description of the radiation characteristics.

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Iterative Scattering of a Gaussian Beam by an Array of Circular Conducting and Dielectric Cylinders

Cited by 77 publications

References 12 publications

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Acoustic radiation force on a rigid cylinder in a focused Gaussian beam

Solution of the Electromagnetic Scattering Problem From an Electrically Large Random Dielectric Medium

Analysis of the Nonconcentric Reflector Antenna-in-radome System by the Iterative Reflector Antenna and Radome Interaction

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