<i>Acoustic and Electromagnetic Waves</i> by D. S. Jones

Jones, D. S.; Greenspon, Joshua E.

doi:10.1121/1.395770

Cited by 28 publications

(57 citation statements)

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“…Both the method developed and the results obtained are detailed in the numerous textbooks [2][3][4][5]. Following this technique, researchers have tried to construct the solution of the problem by combining two similar solutions for spaced edges of the conducting surface.…”

Section: Introductionmentioning

confidence: 99%

Diffraction of Plane Wave by Strip With Arbitrary Orientation of Wave Vector

Sautbekov¹

2011

PIER M

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Abstract-The classical problem for diffraction of a plane wave with an arbitrarily oriented wave vector at a strip is considered asymptotically by Wiener-Hopf method. The boundary-value problem has been broken down into distinct Dirichlet and Neumann problems. Each of these boundary-value problems is consecutively solved by a reduction to a system of singular boundary integral equations and then to a system of Fredholm integral ones of second kind. They are solved effectively by a reduction to a system of linear algebraic equations with the help of the etalon integral and the saddle point method.

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Section: Introductionmentioning

confidence: 99%

Diffraction of Plane Wave by Strip With Arbitrary Orientation of Wave Vector

Sautbekov¹

2011

PIER M

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“…The boundary conditions for the functions u andū follow from the known boundary conditions for the electric and magnetic vectors (1) [1,2,8,9]: at a conducting surface, the value u and the normal derivative ofū should vanish, and on the surface of a dielectric the continuity conditions should be enforced on the values u andūε(x) as well as on the normal derivatives of u andū.…”

Section: Formulation Of the Diffraction Problem And Its Solutionmentioning

confidence: 99%

“…We shall solve a stationary diffraction problem for the monochromatic field with time dependence determined by the factor exp(−iωt) which is hereafter omitted. In the Cartesian coordinate system, one usually describes two-dimensional diffraction field in terms of two independent polarizations having the following components of the electric and magnetic vectors [1,2,8,9,19] …”

Section: Formulation Of the Diffraction Problem And Its Solutionmentioning

confidence: 99%

“…It takes into account finite thickness of a screen and finite extent of the region inside a slot, passing by radiation. This approach is based on the mode-matching method [2], which looks like the method used in the rigorous diffraction theory [1,8,9]. It provided the possibility to obtain the solutions [3][4][5][6][10][11][12][13], which may be unwieldy, but is greatly simple than the rigorous solution for a screen of infinitesimal thickness [15] and is convenient for computer programming.…”

Section: Introductionmentioning

confidence: 99%

“…That is why the problem of simulation of a plane wave diffraction by slots in conducting screens, as well the like problem of diffraction by a complementary screen in the form of a strip, is of great interest [2,3,[8][9][10][11][12][13][14]. The classic statement of these problems proceeds from the premise of a conducting screen having infinitesimal thickness [1,2,8,9]. Their rigorous solutions as a limiting case of the solution for an elliptical cylinder were obtained more than half a century ago [15].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Diffraction of a Plane Electromagnetic Wave by a Slot in a Conducting Screen of Finite Thickness Placed in Front of a Half-Infinite Dielectric

Rudnitsky¹

2008

PIER

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Abstract-The problem of diffraction of a plane electromagnetic wave by a slot in a planar perfectly conducting screen of arbitrary thickness in the presence of a half-infinite dielectric arranged at a distance from a screen is solved rigorously on the bases of eigenfunction expansion and mode matching technique. The calculation algorithm for various components of the electric and magnetic field vectors in the entire space is presented, and a simple computation method for corresponding diffraction integrals is described. Just one more method of field visualization is demonstrated, which utilizes a picture of the energyflux lines.

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The scattering of electromagnetic waves by a perfectly conducting infinite cylinder

Colton¹,

Monk²

1990

Math Methods in App Sciences

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We consider the scattering of a plane time-harmonic electromagnetic wave by a perfectly conducting infinite cylinder with axis in the direction k, where k is the unit vector along the z axis. Suppose the incident wave propagates in a direction perpendicular to the cylinder. For a given observation angle 0, let F,(O, a)k be the far-field pattern of the electric field corresponding to an incident wave with direction angle a polarized perpendicular to the z axis and let FN(O;a)k be the far-field pattern of the magnetic field corresponding to an incident wave with direction angle a polarized parallel to the z axis. Let {am}:=, be a distinct set of angles in [ -n, 2 3 and p a complex number. Then, necessary and sufficient conditions are given for the set { (1 -p)F& a,) + pFN(& aJ}mm= I to be complete in L z [ -n, n]. Applications, together with numerical examples, are given to the inverse scattering problem of determining the shape of the cylinder from a knowledge of the far-field data.

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Acoustic and Electromagnetic Waves by D. S. Jones

Cited by 28 publications

References 0 publications

Diffraction of Plane Wave by Strip With Arbitrary Orientation of Wave Vector

Diffraction of Plane Wave by Strip With Arbitrary Orientation of Wave Vector

Diffraction of a Plane Electromagnetic Wave by a Slot in a Conducting Screen of Finite Thickness Placed in Front of a Half-Infinite Dielectric

The scattering of electromagnetic waves by a perfectly conducting infinite cylinder

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