Mellin transform solution for the static line-source excitation of a dielectric wedge

1993 ◽  
Vol 41 (12) ◽  
pp. 1675-1679 ◽  
Author(s):  
R.W. Scharstein
Keyword(s):  
Line Source ◽  
Mellin Transform ◽  
Dielectric Wedge ◽  
Source Excitation

A note on the two-dimensional electrostatic field produced by a line charge near a dielectric wedge

2019 ◽  
Vol 72 (3) ◽  
pp. 341-357
Author(s):  
A D Rawlins
Keyword(s):  
Electrostatic Field ◽  
General Problem ◽  
Line Source ◽  
Arbitrary Number ◽  
Mellin Transform ◽  
Two Dimensional ◽  
Dielectric Wedge ◽  
Line Charge

Summary We shall consider the problem of determining the correct electrostatic field produced when an infinite two-dimensional line source is influenced by an adjacent infinite dielectric wedge. This result corrects a number of previous attempts at this problem, which are shown to be in error. The method avoids using the Mellin transform which has lead to some of these earlier errors. The method is used to solve a more general problem of the electrostatic field produced by an arbitrary number of line sources located in an arbitrary number of contiguous dielectric wedges.

Electromagnetic fields in the presence of an infinite dielectric wedge

2006 ◽  
Vol 462 (2072) ◽  
pp. 2503-2522 ◽  
Author(s):  
Mohamed A Salem ◽  
Aladin H Kamel ◽  
Andrey V Osipov
Keyword(s):  
Electromagnetic Fields ◽  
Line Source ◽  
Numerical Scheme ◽  
Singular Integral Equations ◽  
Neumann Series ◽  
Asymptotic Approximations ◽  
Spectral Functions ◽  
Dielectric Wedge ◽  
Higher Order Terms ◽  
Neumann Type

Electromagnetic fields excited by a line source in the presence of an infinite dielectric wedge with refractive index N are determined by application of the Kontorovich–Lebedev transform. Singular integral equations for spectral functions are solved by perturbation procedure, and the solution is obtained in the form of a Neumann series in powers of . The devised numerical scheme permits evaluation of the higher-order terms and, thus, extends the perturbation solution to values of N not necessarily close to unity. Asymptotic approximations for the near and far fields inside and outside the dielectric wedge are derived. The combination of the Neumann-type expansion of the transform functions with the representation of the field as a Bessel function series extends solutions derived with the Kontorovich–Lebedev method to the case of real-valued wavenumbers and arbitrarily positioned source and observer. Numerical results showing the influence of wedges with various values of dielectric and magnetic constants on the directivity of a line source are presented and verified through finite-difference frequency-domain simulations.

Electromagnetic scattering from a dielectric-coated elliptic cylinder

1988 ◽  
Vol 66 (12) ◽  
pp. 1115-1122 ◽  
Author(s):  
H. A. Ragheb ◽  
L. Shafai
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Line Source ◽  
Elliptic Cylinder ◽  
Geometrical Parameters ◽  
Wave Excitation ◽  
Type Curves ◽  
Boundary Value Method ◽  
Design Type ◽  
Source Excitation

An exact treatment using the boundary-value method for solving the problem of scattering of a line-source field or a plane wave by a perfectly conducting elliptic cylinder coated with a confocal dielectric elliptical shell is presented. For the line-source excitation the total field is calculated, while for the plane-wave excitation the echo width is obtained. A sample and interesting results for the backscattering echo width versus different geometrical parameters are obtained and presented. A set of design-type curves, which are useful for locating the maximum or minimum backscattering echo width, are also provided.

scholarly journals Subsurface, thermoelastic line source excitation of a transversely isotropic half space

Wave Motion ◽  
2017 ◽  
Vol 72 ◽  
pp. 87-100 ◽  
Author(s):  
James B. Spicer ◽  
Fan W. Zeng ◽  
Lauren R. Olasov
Keyword(s):  
Half Space ◽  
Line Source ◽  
Transversely Isotropic ◽  
Source Excitation
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