Diffraction by a wide unidirectionally conducting strip

1968 ◽  
Vol 46 (18) ◽  
pp. 2107-2117 ◽  
Author(s):  
E. V. Jull
Keyword(s):  
Integral Equation ◽  
Electromagnetic Wave ◽  
Surface Wave ◽  
Cross Section ◽  
Plane Electromagnetic Wave ◽  
Normal Incidence ◽  
Wave Excitation ◽  
Strip Surface ◽  
Scattering Cross ◽  
Conducting Strip

The diffraction of a plane electromagnetic wave by an infinitely long, unidirectionally conducting strip is formulated as a Wiener–Hopf integral equation and is solved asymptotically for a wide strip by transform techniques. In addition to the diffracted fields produced by a perfectly conducting strip, surface-wave excitation and scattering at the edges and interaction between the ends of the lines of conductivity appear in the solution. These effects are illustrated by numerical results of the scattering cross section at normal incidence for various directions of conductivity.

SCATTERING BY A NARROW UNIDIRECTIONALLY CONDUCTING INFINITE STRIP

1960 ◽  
Vol 38 (12) ◽  
pp. 1623-1631 ◽  
Author(s):  
S. R. Seshadri
Keyword(s):  
Integral Equation ◽  
Electromagnetic Wave ◽  
Cross Section ◽  
Plane Electromagnetic Wave ◽  
Scattering Cross Section ◽  
Wave Number ◽  
Infinite Strip ◽  
Total Scattering ◽  
Scattering Cross ◽  
Total Scattering Cross Section

The scattering of a plane electromagnetic wave of wave number k by a uni-directionally conducting infinite strip of width 2a is investigated, The problem is formulated in terms of an integral equation whose solution is obtained by a well-known procedure in the form of a series in powers of ka. Expressions for the far-zone fields and the first two terms in the series for the total scattering cross section are obtained.

Currents Induced on a Conducting Strip

1971 ◽  
Vol 49 (4) ◽  
pp. 495-498 ◽  
Author(s):  
Lotfollah Shafai
Keyword(s):  
Integral Equation ◽  
Electromagnetic Wave ◽  
Fourier Analysis ◽  
Conformal Transformation ◽  
Plane Electromagnetic Wave ◽  
Regular Function ◽  
Induced Currents ◽  
Conducting Strip

An integral equation for the singular currents on a conducting strip illuminated normally by a plane electromagnetic wave polarized parallel to the strip is obtained and the singularities of the currents are treated by using a conformal transformation. The integral equation is then solved numerically by a Fourier analysis of the resulting unknown but regular function, and the computed results for the induced currents on the strip are presented.

Modification of scattering of waves by central loading

1968 ◽  
Vol 46 (24) ◽  
pp. 2755-2763 ◽  
Author(s):  
Chin-Lin Chen
Keyword(s):  
Plane Wave ◽  
Cross Section ◽  
Cross Sections ◽  
Normal Incidence ◽  
Physical Explanation ◽  
Lumped Element ◽  
Scattering Cross ◽  
Back Scattering ◽  
Conducting Wire ◽  
Scattering Cross Sections

The problem of the scattering of a plane wave by a long, thin, perfectly conducting wire is studied. The scatterer is loaded at its center by a lumped element. The effects of the loading on the scattering of waves are investigated. Numerical results are obtained for the case of normal incidence. The results show that for relatively short wires, the back-scattering cross sections may be modified effectively by central loading, while for longer wires, the modification is rather difficult to achieve. To nullify the back-scattering cross section completely, it is necessary to use active loading if kh > 3.6. A physical explanation is also presented.

Dependent Scattering Properties of Woven Fibrous Insulations for Normal Incidence

1995 ◽  
Vol 117 (1) ◽  
pp. 160-166 ◽  
Author(s):  
Sunil Kumar ◽  
S. M. White
Keyword(s):  
Electromagnetic Wave ◽  
Plane Electromagnetic Wave ◽  
Normal Incidence ◽  
Woven Fabrics ◽  
Fibrous Materials ◽  
Parallel Fibers ◽  
Closed Form Solutions ◽  
Incident Plane ◽  
Additional Interaction ◽  
The Difference

The scattering properties of woven fibrous materials are examined in this paper and a simple model is presented to account for the interactions between the scattered radiation from different individual fibers. The case of a normally incident plane electromagnetic wave is considered. Fiber sizes in the Rayleigh regime are considered for developing closed-form solutions. Previous studies in the literature that have addressed the scattering properties of fibrous materials have mostly ignored the effect of constructive or destructive addition of scattered waves from individual fibers, the exception being the case of parallel fibers. The difference in the effects of interference on scattering properties of parallel fibers and of woven fabrics arises from the additional interaction of radiation scattered from mutually perpendicular fibers in the latter case, which further complicates the analysis.

SCATTERING BY A PERFECTLY CONDUCTING CYLINDER IN A GYROELECTRIC MEDIUM: NUMERICAL RESULTS

1964 ◽  
Vol 42 (5) ◽  
pp. 860-872 ◽  
Author(s):  
S. R. Seshadri
Keyword(s):  
Electromagnetic Wave ◽  
Circular Cylinder ◽  
Cross Sections ◽  
Plane Electromagnetic Wave ◽  
Numerical Results ◽  
Gyrotropic Medium ◽  
Magnetic Vector ◽  
Scattering Cross ◽  
Incident Plane ◽  
Scattering Cross Sections

The numerical results on the various scattering cross sections of a perfectly conducting circular cylinder embedded in a gyrotropic medium are presented for the case in which both the gyrotropic axis and the magnetic vector of the incident plane electromagnetic wave are parallel to the axis of the cylinder.

Reflexion of a plane wave at a plasma half-space

1970 ◽  
Vol 4 (1) ◽  
pp. 67-81 ◽  
Author(s):  
P. C. Clemmow ◽  
V. B. Karunarathne
Keyword(s):  
Electromagnetic Wave ◽  
Boundary Conditions ◽  
Half Space ◽  
Diffuse Scattering ◽  
Oblique Incidence ◽  
Plane Electromagnetic Wave ◽  
Current Source ◽  
Normal Incidence ◽  
Plane Boundary ◽  
Method Of Solution

The problem of a monochromatic plane electromagnetic wave incident from vacuum on the plane boundary of a plasma half-space is considered. The method of solution is based on the representation of the disturbance in the plasma half- space as that generated by some current source in the complementary half-space into which, for the purpose of the representation, the plasma is conceived to extend. The specular reflexion boundary conditions and the diffuse scattering boundary conditions are treated in turn, first for normal incidence and then for oblique incidence.

scholarly journals Scattering and radiation of water waves by a submerged rigid disc in a two-layer fluid

2019 ◽  
Vol 475 (2232) ◽  
pp. 20190331 ◽  
Author(s):  
Najnin Islam ◽  
Souvik Kundu ◽  
Rupanwita Gayen
Keyword(s):  
Integral Equation ◽  
Cross Section ◽  
Water Waves ◽  
Hydrodynamic Force ◽  
Added Mass ◽  
Damping Coefficient ◽  
Total Scattering ◽  
Scattering Cross ◽  
Total Scattering Cross Section ◽  
Rigid Disc

Interaction of water waves with a horizontal rigid disc submerged in the lower layer of a two-layer fluid is studied in three dimensions using linear theory. The governing boundary value problem is reduced to a two-dimensional hypersingular integral equation. This integral equation is further reduced to a one-dimensional Fredholm integral equation of the second kind in terms of a newly defined function. The solution to the latter integral equation is used to compute the total scattering cross section and the hydrodynamic force for the scattering problem and the added mass and the damping coefficient for the radiation problem. Haskind relations connecting the solutions of the radiation and the scattering problems are also derived. The effects of variations of the submergence depth of the disc and the depth of the upper layer on different physical quantities are investigated. We observe amplification of the added mass and the damping coefficient, the total scattering cross section and the hydrodynamic force when the disc goes near the interface or when the height of the upper layer decreases. Known results for a horizontal disc submerged in a single-layer fluid of infinite depth are recovered from the present analysis.

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