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

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.

scholarly journals Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material

2009 ◽  
Vol 2009 ◽  
pp. 1-6 ◽  
Author(s):  
Constantine A. Valagiannopoulos
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Hypergeometric Functions ◽  
Integral Formula ◽  
Scattering Problem ◽  
Double Series ◽  
Infinite Cylinder ◽  
Shaped Particle ◽  
Plane Wave Scattering ◽  
Good Agreement

An infinite cylinder of arbitrary shape is embedded into a circular one, and the whole structure is illuminated by a plane wave. The electromagnetic scattering problem is solved rigorously under the condition that the materials of the two cylinders possess similar characteristics. The solution is based on a linear Taylor expansion of the scattering integral formula which can be useful in a variety of different configurations. For the specific structure, its own far field response is given in the form of a double series incorporating hypergeometric functions. The results are in good agreement with those obtained via eigenfunction expansion. Several numerical examples concerning various shape patterns are examined and discussed.

scholarly journals A Generalized case of Electromagnetic Scattering from a finite number of Ferromagnetic cylinders

2015 ◽  
Vol 4 (3) ◽  
pp. 8 ◽  
Author(s):  
T. Kumar ◽  
N. Kalyanasundaram ◽  
B. K. Lande
Keyword(s):  
Finite Number ◽  
Electromagnetic Scattering ◽  
Scattered Field ◽  
Near Field ◽  
Scattering Problem ◽  
Normal Incidence ◽  
Generalized Solution ◽  
Numerical Results ◽  
Infinite Length ◽  
Angle Of Incidence

A generalized solution of the scattering problem from an array containing a finite number of axially magnetized ferromagnetic cylinders of infinite length placed in free space is presented in this paper. The analysis is carried out by matching the tangential boundary conditions at the surface of each cylinder to find the unknown expansion coefficients of the scattered field. Planar arrays consist of a finite number of ferromagnetic microwires are considered to obtain the numerical results for TMz and TEz polarizations in terms of the variation in scattered field components of the near field and scattering cross section (SCS) with respect to angle of incidence, radius of microwires, spacing among the microwires and operating frequency. For validation purpose, numerical results of the proposed analysis specialized for the case of single microwire and normal incidence for TMz polarization are compared with the results available in the literature for the specialized case and both are found to be matched completely.

scholarly journals Electromagnetic diffraction and scattering of a complex-source beam by a semi-infinite circular cone

2013 ◽  
Vol 11 ◽  
pp. 31-36 ◽  
Author(s):  
H. Brüns ◽  
L. Klinkenbusch
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Multipole Expansion ◽  
Circular Cone ◽  
Plane Wave Incident ◽  
Complex Source ◽  
Full Plane ◽  
Complex Valued ◽  
Electromagnetic Diffraction

Abstract. A complex-source beam (CSB) is used to investigate the electromagnetic scattering and diffraction by the tip of a perfectly conducting semi-infinite circular cone. The boundary value problem is defined by assigning a complex-valued source coordinate in the spherical-multipole expansion of the field due to a Hertzian dipole in the presence of the PEC circular cone. Since the incident CSB field can be interpreted as a localized plane wave illuminating the tip, the classical exact tip scattering problem can be analysed by an eigenfunction expansion without having the convergence problems in case of a full plane wave incident field. The numerical evaluation includes corresponding near- and far-fields.

scholarly journals Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides

2016 ◽  
Vol 2016 ◽  
pp. 1-16 ◽  
Author(s):  
Ana Morán-López ◽  
Juan Córcoles ◽  
Jorge A. Ruiz-Cruz ◽  
José R. Montejo-Garai ◽  
Jesús M. Rebollar
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Communication Systems ◽  
Scattering Problem ◽  
Mathematical Formulation ◽  
Building Blocks ◽  
Analysis And Design ◽  
Mode Spectrum ◽  
Analytic Expressions ◽  
Commercial Software Package

The analysis of the electromagnetic scattering at discontinuities between equilateral triangular waveguides is studied. The complete electromagnetic solution is derived using analytical closed form expressions for the mode spectrum of the equilateral waveguide. The mathematical formulation of the electromagnetic scattering problem is based on the quasi-analytical Mode-Matching method. This method benefits from the electromagnetic field division into symmetries as well as from the plane wave formulation presented for the expressions involved. The unification of the surface integrals used in the method thanks to the plane wave formulation is revealed, leading to expressions that are very well suited for its implementation in an electromagnetic analysis and design code. The obtained results for some cases of interest (building blocks for microwave components for communication systems) are verified using other numerical methods included in a commercial software package, showing the potential of the presented approach based on quasi-analytic expressions.

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.

Electromagnetic scattering by a system of two parallel dielectric prolate spheroids

1990 ◽  
Vol 68 (4-5) ◽  
pp. 376-384 ◽  
Author(s):  
M. F. R. Cooray ◽  
I. R. Ciric ◽  
B. P. Sinha
Keyword(s):  
Electromagnetic Wave ◽  
Incident Wave ◽  
Electromagnetic Scattering ◽  
Scattered Field ◽  
Plane Electromagnetic Wave ◽  
Angle Of Incidence ◽  
Algebraic Equations ◽  
Column Matrix ◽  
Prolate Spheroids ◽  
Expansion Coefficients

An exact solution to the problem of scattering of a plane electromagnetic wave by two dielectric prolate spheroids with parallel major axes is obtained by expanding the incident, scattered, and transmitted electric and magnetic fields in terms of an appropriate set of vector spheroidal eigenfunctions. The incident wave is considered to be a monochromatic, uniform plane electromagnetic wave of arbitrary polarization and angle of incidence. The boundary conditions are imposed by expressing the electromagnetic field scattered by one spheroid in terms of the spheroidal coordinates attached to the other, using the translational addition theorems for vector spheroidal wave functions. The column matrix of the total transmitted and scattered field-expansion coefficients is equal to the product of a square matrix, which is independent of the direction and polarization of the incident wave, and the column matrix of the known incident field-expansion coefficients. The solution of the associated set of algebraic equations gives the unknown transmitted and scattered field-expansion coefficients. Even though the problem is formulated in general, the numerical results are presented for the bistatic and backscattering cross sections of two lossless prolate spheroids with various axial ratios and center-to-center distances.

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