Calculation of self-impedance and radiation efficiency of a dipole near a lossy cylinder with arbitrary cross section by using the moment method and a spectrum of two-dimensional solutions

2001 ◽  
Vol 32 (2) ◽  
pp. 108-112 ◽  
Author(s):  
Jian Yang ◽  
Jan Carlsson ◽  
Per-Simon Kildal ◽  
Charlie Carlsson
Keyword(s):  
Cross Section ◽  
Moment Method ◽  
Arbitrary Cross Section ◽  
Radiation Efficiency ◽  
Two Dimensional ◽  
The Moment

Long waves in a uniform channel of arbitrary cross-section

1968 ◽  
Vol 32 (2) ◽  
pp. 353-365 ◽  
Author(s):  
D. H. Peregrine
Keyword(s):  
Solitary Wave ◽  
Cross Section ◽  
Gravity Waves ◽  
Equations Of Motion ◽  
Rectangular Channel ◽  
Arbitrary Cross Section ◽  
Long Waves ◽  
Order Of Approximation ◽  
Two Dimensional ◽  
Uniform Channel

Equations of motion are derived for long gravity waves in a straight uniform channel. The cross-section of the channel may be of any shape provided that it does not have gently sloping banks and it is not very wide compared with its depth. The equations may be reduced to those for two-dimensional motion such as occurs in a rectangular channel. The order of approximation in these equations is sufficient to give the solitary wave as a solution.

Two-dimensional toroidal MHD equilibria of arbitrary cross-section

1983 ◽  
Vol 29 (1) ◽  
pp. 173-175 ◽  
Author(s):  
Ferdinand F. Cap
Keyword(s):  
Equilibrium Problem ◽  
Cross Section ◽  
Arbitrary Cross Section ◽  
Two Dimensional ◽  
New Approach ◽  
Mhd Equilibrium ◽  
Mhd Equilibria

A new approach to the solution of the MHD equilibrium problem is outlined.

scholarly journals Signal Propagation in Soil Medium: A Two Dimensional Finite Element Procedure

2021 ◽  
Author(s):  
Frank Kataka Banaseka ◽  
Kofi Sarpong Adu-Manu ◽  
Godfred Yaw Koi-Akrofi ◽  
Selasie Aformaley Brown
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Scattered Field ◽  
Radar Cross Section ◽  
Transverse Magnetic ◽  
Arbitrary Cross Section ◽  
Observation Angle ◽  
Two Dimensional ◽  
Total Field ◽  
Dimensional Finite Element

A two-Dimensional Finite Element Method of electromagnetic (EM) wave propagation through the soil is presented in this chapter. The chapter employs a boundary value problem (BVP) to solve the Helmholtz time-harmonic electromagnetic model. An infinitely large dielectric object of an arbitrary cross-section is considered for scattering from a dielectric medium and illuminated by an incident wave. Since the domain extends to infinity, an artificial boundary, a perfectly matched layer (PML) is used to truncate the computational domain. The incident field, the scattered field, and the total field in terms of the z-component are expressed for the transverse magnetic (TM) and transverse electric (TE) modes. The radar cross-section (RCS), as a function of several other parameters, such as operating frequency, polarization, illumination angle, observation angle, geometry, and material properties of the medium, is computed to describe how a scatterer reflects an electromagnetic wave in a given direction. Simulation results obtained from MATLAB for the scattered field, the total field, and the radar cross-section are presented for three soil types – sand, loam, and clay.

Two-dimensional oscillations in a canal of arbitrary cross-section

1965 ◽  
Vol 61 (3) ◽  
pp. 827-846 ◽  
Author(s):  
A. M. J. Davis
Keyword(s):  
Integral Equation ◽  
Cross Section ◽  
Arbitrary Cross Section ◽  
Inviscid Fluid ◽  
Degenerate Kernel ◽  
Two Dimensional ◽  
Small Kernel ◽  
Uniform Cross Section ◽  
Set Up ◽  
Image Position

AbstractAn infinitely long canal with uniform cross-section is filled with inviscid fluid. It is required first to show that any small two-dimensional motion of the fluid can be represented as the superposition of normal mode disturbances. A suitable generalized Green's function G(x, y; ξ) is constructed and is used to set up an integral equation (2·9) for the velocity potential on the free surface. It is shown that the eigenfunctions are complete and so are their (possibly time-dependent) extensions to the whole canal, in the sense that an arbitrary disturbance possesses a unique representation. In section 5, it is required to find asymptotic approximations to the large eigenvalues of (2·9). For this purpose a different integral equation (5·5) is set up on the canal, the kernel of which is the sum of a degenerate kernel and a small kernel. The solutions of this equation can therefore be obtained by iteration. The form of the mth eigenvalue is shown to befor sufficiently large m.

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