Application of different orthogonal coordinates using modified method of discrete sources for solving a problem of wave diffraction on a body of revolution

Kyurkchan, A. G.; Manenkov, S. A.

doi:10.1016/j.jqsrt.2012.05.010

Cited by 27 publications

(25 citation statements)

References 14 publications

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“…To verify the correctness of the proposed method, we compared the dependences of the scattering dia gram g(θ, ϕ) (here, (θ, ϕ) are spherical coordinates) of a thin disk with a radius ka = 50 and a highly oblate spheroid with semiaxes ka = 50 and kc = 0.5, where To solve the problem of plane wave diffraction by an oblate spheroid, we used a version of the modified dis crete source method (MDSM) [9,10]. Figure 1 shows the angular dependences of the magnitude of the scat tering diagram for a thin disk (solid curve) and a spher oid (open dots) with the dimensions specified above.…”

Section: Numerical Resultsmentioning

confidence: 99%

A hybrid approach to solving the problem of diffraction by plane screens

Kyurkchan

Manenkov

2015

Acoust. Phys.

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A new version of the method of continued boundary conditions is proposed for solving the prob lem of diffraction of a plane wave by a plane three dimensional screen whose size is large compared to the wavelength. The cases of acoustically soft and rigid screens are considered. Numerical results are presented for circular, elliptic, and square screens. The fulfillment of the optical theorem and the Ufimtsev theorem for the aforementioned screen shapes is verified.

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Section: Numerical Resultsmentioning

confidence: 99%

A hybrid approach to solving the problem of diffraction by plane screens

Kyurkchan

Manenkov

2015

Acoust. Phys.

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“…This problem is rather complicated to be realized numerically because the geometry has no axial symmetry. The problem is solved here using the modified method of discrete sources (MMDS) [1][2][3][4][5][6]. The close problem of diffraction of a plane wave by a plane grating of impedance bodies of revolution was earlier considered in [4].…”

Section: Introductionmentioning

confidence: 99%

“…Namely, we have used the spherical, spheroidal, and toroidal coordinates. The use of the appropriate coordinate system allowes us to substantially decrease the dimen sion of the algebraic system to which the diffraction problem is reduced [5,6].…”

Section: Introductionmentioning

confidence: 99%

Two approaches to the solution of the problem of diffraction by a plane grating of dielectric bodies of revolution

Manenkov

2015

J. Commun. Technol. Electron.

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On the basis of the modified method of discrete sources two approaches are developed for the solution of the 3D problem of scattering by a plane grating of dielectric revolution bodies. An efficient algo rithm of finding the periodic Green's function of the grating is suggested. The proposed methods are com pared. Numerical results for various geometries of the grating elements are obtained. The fulfillment of the energy conservation law is checked.

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“…In the papers [14,15] the problem of wave diffraction on strongly elongated or strongly flattened bodies as well as toroidal bodies of revolution has been considered. To solve the problem we use the elongated or flattened spheroidal or toroidal coordinates.…”

Section: Introductionmentioning

confidence: 99%

“…The most simple tensors E ν and H ν are defined in cylindrical coordinates. In order to transform these tensors to the corresponding orthogonal coordinates we use the formula [15,16] …”

Section: Introductionmentioning

confidence: 99%