Multiple scattering of a plane electromagnetic wave by hemispherical bosses on an infinite plane

1996 ◽  
Vol 74 (3-4) ◽  
pp. 108-113 ◽  
Author(s):  
A.-K. Hamid
Keyword(s):  
Electromagnetic Wave ◽  
Plane Wave ◽  
Plane Electromagnetic Wave ◽  
Ground Plane ◽  
Image Plane ◽  
Angle Of Incidence ◽  
Infinite Plane ◽  
Incident Plane ◽  
Section Versus ◽  
The Given

An analytic solution to the problem of scattering of a plane electromagnetic wave by a system of hemispherical bosses on a perfectly conducting ground plane is obtained using the solution of scattering by a system of full spheres and the method of images. The system considered is replaced by a system of complete spheres in the absence of the ground plane, but with the given incident plane wave and also a supplement, image plane wave, chosen such that the boundary conditions for the total field are satisfied at all points where the ground plane is located in the original problem. Numerical results for a different system of simulations are presented for the normalized backscattering cross section versus the angle of incidence.

Electromagnetic scattering by a dielectric sphere partially buriedin an infinte plane

2002 ◽  
Vol 80 (9) ◽  
pp. 979-986
Author(s):  
A -K Hamid ◽  
M Hamid
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Plane Electromagnetic Wave ◽  
Ground Plane ◽  
Scattering Problem ◽  
Dielectric Constants ◽  
Angle Of Incidence ◽  
Spherical Scatterer ◽  
Incident Plane ◽  
The Given

An analytical solution of the scattering problem of a plane electromagnetic wave scattered by a dielectric spherical scatterer residing or partially buried in an infinite perfectly conducting ground plane is formulated in conjunction with the method of images. With imaging, the geometry is replaced by two touching or overlapping dielectric spheres in the absence of the ground plane, but with the given incident plane wave and its plane-wave image to satisfy the boundary conditions on the ground plane in the original problem. Numerical results are presented for the normalized scattering cross section at an arbitrary height from the ground plane, at any specific angle of incidence, and different relative dielectric constants. PACS Nos.: 41.10H, 41.90

Scattering of a plane wave by a hemispheroidal boss on an infinite plane

1992 ◽  
Vol 70 (8) ◽  
pp. 615-622 ◽  
Author(s):  
I. R. Ciric ◽  
M. F. R. Cooray
Keyword(s):  
Plane Wave ◽  
Original Problem ◽  
Ground Plane ◽  
Plane Waves ◽  
Point Of View ◽  
Infinite Plane ◽  
Metallic Surfaces ◽  
Conducting Plane ◽  
Incident Plane ◽  
Image Technique

An analytic solution is presented for the problem of scattering of a plane wave by a hemispheroidal boss on a perfectly conducting plane. The solution is based on an image technique, by which the original problem is reduced to that of the scattering of two plane waves by a full spheroid, in the absence of the infinite plane. One of these waves is just the given incident plane wave and the other one is chosen such that the boundary conditions in the original problem are satisfied. The field scattered by the hemispheroidal boss on the infinite plane is obtained by the superposition of the fields scattered by the full spheroid in an unbounded space, due to each of the two plane waves. The theory is given for the scattering of both scalar and vector waves. Numerical results are presented for the normalized-scattering cross section in the electromagnetic case for various conducting and dielectric hemispheroidal bosses, of different sizes and axial ratios. From a practical point of view, the solution is significant for the wave scattering by metallic surfaces with various protuberances and by a variety of structures, towers, antennas, and artificial and natural formations on the ground plane.

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.

Diffraction of a high-frequency plane electromagnetic wave by a perfectly conducting circular disc

1965 ◽  
Vol 61 (1) ◽  
pp. 247-270 ◽  
Author(s):  
D. S. Jones
Keyword(s):  
Electromagnetic Wave ◽  
High Frequency ◽  
Plane Electromagnetic Wave ◽  
Linear Equations ◽  
Circular Disc ◽  
High Frequencies ◽  
Incident Plane ◽  
Method Of Solution ◽  
Asymptotic Development ◽  
Simultaneous Linear Equations

AbstractA method already developed for the diffraction of scalar waves by a circular disc is generalized so as to be applicable to the diffraction of an electromagnetic wave. The generalization leads, in a straightforward manner, to an asymptotic development of the current density on the disc at high frequencies. The principal complication which arises is in solving three simultaneous linear equations for three constants which occur in the method of solution. Detailed calculations are given for a normally incident plane wave.

DIFFRACTION OF A PLANE ELECTROMAGNETIC WAVE BY AN INFINITE SET OF PARALLEL METALLIC PLATES IN AN ANISOTROPIC PLASMA

1967 ◽  
Vol 45 (5) ◽  
pp. 1911-1923 ◽  
Author(s):  
C. P. Wu
Keyword(s):  
Electromagnetic Wave ◽  
Plane Electromagnetic Wave ◽  
Angle Of Incidence ◽  
Parallel Plates ◽  
Rapid Variation ◽  
Magnetostatic Field ◽  
Transmission Coefficients ◽  
Phase Functions ◽  
Infinite Set ◽  
Metallic Plates

The diffraction of a plane electromagnetic wave by an infinite set of parallel metallic plates is considered. The plates are assumed to be vanishingly thin and infinitely conducting, and are immersed in a cold plasma which is rendered anisotropic by an external magnetostatic field parallel to the edges of the plates. An exact solution is obtained by using the Wiener–Hopf technique for the case in which the fields have no variation in the direction of the external static magnetic field.It is found that, because of the anisotropy of the medium, the reflection becomes nonvanishing for the TM mode incident normally at the interface between the parallel plates and the free plasma regions. Also, the reflection coefficient is no longer an even or odd function of the angle of incidence. When the degree of anisotropy is relatively small, the results practically reduce to those in an isotropic dielectric, except that the phase functions of the reflection and transmission coefficients would experience a rapid variation for small incident angles. Some numerical examples showing the effects of anisotropy are given.

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