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 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 Spherical-multipole analysis of an arbitrarily directed complex-source beam diffracted by an acoustically soft or hard circular cone

2015 ◽  
Vol 13 ◽  
pp. 57-61 ◽  
Author(s):  
A. Reinhardt ◽  
H. Bruens ◽  
L. Klinkenbusch ◽  
M. Katsav ◽  
E. Heyman
Keyword(s):  
Numerical Analysis ◽  
Boundary Value Problem ◽  
Analytical Approach ◽  
Circular Cone ◽  
Legendre Functions ◽  
Soft Or ◽  
Associated Legendre Functions ◽  
Multipole Analysis ◽  
Complex Source ◽  
Complex Valued

Abstract. An analytical approach to analyze the diffraction of an arbitrarily directed complex-source beam (CSB) by an acoustically soft or hard semi-infinite circular cone is presented. The beam is generated by assigning a complex-valued location to a point source; its waist and direction are defined by the real and imaginary parts of the source coordinate, respectively. The corresponding scalar boundary-value problem is solved by a spherical-multipole analysis. The solution requires the calculation of associated Legendre functions of the first kind for complex-valued arguments which turns out to be a non-trivial task. Beside a numerical analysis of the corresponding algorithms we present numerical results for the total near- and scattered far-fields.

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

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.

scholarly journals Acoustic scattering of a complex-source beam by the edge of a plane angular sector

2014 ◽  
Vol 12 ◽  
pp. 179-186 ◽  
Author(s):  
H. Brüns ◽  
L. Klinkenbusch
Keyword(s):  
Plane Wave ◽  
Acoustic Scattering ◽  
Classical Case ◽  
Soft Or ◽  
New Approach ◽  
Angular Sector ◽  
Multipole Analysis ◽  
Incident Plane ◽  
Complex Source ◽  
Complex Valued

Abstract. The scattering and diffraction of a complex-source beam (CSB) by an acoustically soft or hard plane angular sector is treated by a rigorous spherical-multipole analysis in sphero-conal coordinates. By assigning a complex-valued radial source coordinate to the corresponding Green's function, the CSB is directed exactly towards the corner of the sector. Since the CSB can be interpreted as a localized plane wave, its interaction with the corner in the presence of the semi-infinite structure can be analyzed in detail. In opposite to the classical case of a non-localized incident plane wave, the resulting multipole series is strongly convergent and no summation techniques are necessary to obtain meaningful results. The numerical results include a convergence analysis, total near fields as well as scattered far fields and prove the applicability of this new approach.

Sign in / Sign up

Export Citation Format

Share Document