Reflectivity of spherical shield

Vinogradov, S. S.

doi:10.1007/bf01038778

Cited by 21 publications

(17 citation statements)

References 1 publication

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“…4b). The reason for the occurrence of this effect is explained in [16]. It should be emphasized that as the incident-wave frequency passes through the eigen-oscillation frequency, four possible cases are observed: 1) at first, we have the minimum and then the maximum of σ s ; 2) at first we have the maximum and then the minimum of σ s ; 3) the minimum of σ s is absent and only its maximum is present; 4) the maximum of σ s is absent, and only its minimum is present.…”

Section: Influence Of the Resonant Regimes Of A Sphere With Circular mentioning

confidence: 97%

Nonsymmetric electromagnetic oscillations in a sphere with circular hole

Svishchev

2006

Radiophys Quantum Electron

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The initial boundary-value problem is reduced to an infinite system of linear algebraic equations of the second kind with compact operator. The system can be solved by the truncation method with any predetermined accuracy. A few first eigenfrequencies of a sphere with circular hole are calculated. They correspond to oscillations with azimuthal index equal to one. The influence of resonant regimes (in particular, the mode coupling effect) of the considered structure on its scattering properties is studied.

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Section: Influence Of the Resonant Regimes Of A Sphere With Circular mentioning

confidence: 97%

Nonsymmetric electromagnetic oscillations in a sphere with circular hole

Svishchev

2006

Radiophys Quantum Electron

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“…The electromagnetic wave diffraction by a PEC axially symmetric screen has been considered, for example, in [2][3][4][5]. In [3][4], the problem was solved using Geometrical and Physical Optics methods.…”

Section: Introductionmentioning

confidence: 99%

“…However, this method converges only for the E-polarized axially symmetric problem. A PEC spherical disk was considered in [5] by the method of analytical regularization. This method has a controlled accuracy, however only the diffraction problem with an orthogonally incident plane wave can be solved.…”

Section: Introductionmentioning

confidence: 99%

Interpolation-type numerical method for electromagnetic wave diffraction by a perfectly conducting axially symmetric screen

Bulygin

2010

2010 International Conference on Mathematical Methods in Electromagnetic Theory

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A problem of monochromatic electromagnetic wave diffraction by a perfectly electrically conducting (PEC) surface of rotation located in an infinite homogeneous isotropic medium is investigated. The problem is reduced to sets of hypersingular and singular integral equations which is solved by the method of discrete singularities [1], using interpolation type quadrature formulas. From the solutions of these sets the scattered electric field expression and the scattering patterns is obtained.

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“…PEC spherical disk was considered in [5] by the method of analytical regularization. This method has a controlled accuracy, but using the method presented in [5] only the problem with a plane wave propagating along the axis of the spherical disk can be solved. In contrast, the method presented here has a guaranteed convergence for an arbitrary primary field.…”

mentioning

confidence: 99%

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confidence: 99%

Visibility of a spherical disk illuminated by a plane wave under the grazing incident

Bulygin

2010

2010 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves

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The electromagnetic wave diffraction by a PEC axially symmetric screen has been considered, for example, in [2][3][4][5]. In [3][4] the problem was solved using Geometrical and Physical Optics methods. In the present paper the exact Maxwell equations with fields, which satisfy Sommerfeld radiation condition, Meixner edge condition and PEC boundary condition on the rotation surface are solved using the rigorous theory of singular and hypersingular integral equations [1]. In [4], the authors reduced the above-mentioned problem to a set of integrodifferential one-dimensional equations and solved it numerically using piecewise constant presentation of unknown functions. However, this method converges only for the E-polarized axially symmetric problem. PEC spherical disk was considered in [5] by the method of analytical regularization. This method has a controlled accuracy, but using the method presented in [5] only the problem with a plane wave propagating along the axis of the spherical disk can be solved. In contrast, the method presented here has a guaranteed convergence for an arbitrary primary field.The dependence of the fields on time is given by a factor i t e ϖ , which is omitted henceforth. Choose cylindrical coordinates , ,z ρ ϕ where the z axis coincides with the surface S axis of rotation. Than the surface S is created by rotation of some contour ( ) ( ) [ ] : , , 1 ,1 Ã t z t t ρ ∈ − around the axis z . If t is the integration variable, we will use notations like ( ) ( ) 0 0 : , : t z z t ρ ρ = = , [ ] 1,1 t ∈ − , while for the observation point we will use notations as ( ) ( ) : , : z z ρ ρ τ τ = = , [ ] 1,1 τ ∈ − . The current density components j τ and j ϕ and the primary field 0 E components are represented in terms of the Fourier series on the surface S as follows: ( ) ( ) ( ) 0 , m im m j t j t e ψ ν ν ψ ∞ = = ∑ , ( ) ( ) ( ) 0 0 0 , m im m E t E t e ψ ν ν ψ ∞ = = ∑ , , ν τ ϕ = (1) Introduce unknown functions ( ) ( ) m u t and ( ) ( ) m w t connected with the current density components: ( ) ( ) ( ) ( ) ( ) 2 1 m m t j t u t t τ ρ = − , ( ) ( ) ( ) ( ) ( ) 2 1 m m j t h t w t t ϕ τ = − ,The considered scattering problem is reduced to a set systems of hypersingular and singular integral equations for unknown functions ( ) ( ) m u x and ( ) ( ) m w x :

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Reflectivity of spherical shield

Cited by 21 publications

References 1 publication

Nonsymmetric electromagnetic oscillations in a sphere with circular hole

Nonsymmetric electromagnetic oscillations in a sphere with circular hole

Interpolation-type numerical method for electromagnetic wave diffraction by a perfectly conducting axially symmetric screen

Visibility of a spherical disk illuminated by a plane wave under the grazing incident

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