Asymptotic Solution of Integral Equation for Magnetic Current in Slot Radiators and Coupling Apertures

2005 ◽  
Vol 63 (2) ◽  
pp. 89-107 ◽  
Author(s):  
V. A. Katrich ◽  
M. V. Nesterenko ◽  
N. A. Khizhnyak
Keyword(s):  
Integral Equation ◽  
Asymptotic Solution ◽  
Magnetic Current

scholarly journals A Design of Vertical Polarized Conformal Antenna and Its Array Based on UAV Structure

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Zhang Wei ◽  
Yang Junfeng
Keyword(s):  
Integral Equation ◽  
Unmanned Aircraft ◽  
Installation Space ◽  
Band Spectrum ◽  
Optimized Design ◽  
Aircraft Carrier ◽  
Magnetic Current ◽  
Scanning Angle ◽  
Conformal Antenna ◽  
Field Integral

The designs of conformal antenna and its array usually need to combine with different carrier structures. As for cone or cylindrical carrier, through using of invasive weed optimization (IWO), the conformal array should be the optimized design as the antenna installation space requirements of cylindrical carrier; through adopting the antenna unit miniaturization method, it designs out a conformal antenna and makes it easier to be installed and the omnidirectional circular polarized beam is also realized. As for unmanned aircraft carrier, it designs out the low profile of conformal vertical polarization antenna unit; through using the electric field integral equation (EFIE) and electric/magnetic current combined-field integral equation (JMCFIE) and multilevel fast multipole algorithm (MLFMA), it analyzes the two different characteristics of unmanned aircraft carrier on the influence of antenna performance. The results obtained through experiments and JMCFIE analysis are in good agreement; according to unmanned aircraft carrier, it also designed out the antenna in X/K-band spectrum; through IWO, the antenna array is optimized; the test results show that the array scanning angle can reach the corresponding beam direction.

Reflexion and transmission at a plane screen with periodically arranged circular or elliptical apertures

1973 ◽  
Vol 61 (1) ◽  
pp. 109-127 ◽  
Author(s):  
F. G. Leppington ◽  
H. Levine
Keyword(s):  
Integral Equation ◽  
Asymptotic Solution ◽  
Sound Wave ◽  
Infinite Plane ◽  
Rectangular Array ◽  
Transmission Coefficients ◽  
Single Aperture ◽  
Rigid Plane ◽  
Periodic Arrangement

A plane harmonic sound wave is considered to be incident upon a rigid plane screen that contains a periodic rectangular array of circular or elliptical apertures, and a characterization is sought for the reflexion and transmission coefficients of the scattered waves when the relationships aperture dimension [Lt ] spacing [Lt ] wavelength apply. The problem is analysed with the help of an integral equation over a single aperture and, as a consequence of the determination of the leading terms in its asymptotic solution, some prior results for more general (that is, irregular) aperture spacing are confirmed and specific features of the interaction in the periodic arrangement are established. Similar formulations are devised and given attention for the related problems in which (i) the screen is backed by a rigid infinite plane and (ii) the apertures contain rigid pistons capable of executing normal displacements compatible with an assigned and common impedance. A section is devoted to the solution, based on expansion of its kernel, for an integral equation of the first kind with a plane circular or elliptical domain.

On a Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation

1977 ◽  
Vol 352 (1670) ◽  
pp. 339-349 ◽  
Keyword(s):  
Integral Equation ◽  
Asymptotic Solution ◽  
Volterra Integral Equation ◽  
Arbitrary Number ◽  
Mellin Transform ◽  
Nonlinear Volterra Integral Equation ◽  
Present Technique

A Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation presented earlier by Kumar (1971) has been improved upon in the present paper. The application of the present technique makes it possible to get an arbitrary number of terms in the asymptotic solution for large values of argument. An example has been worked out in detail.

Asymptotic Solution of Palm's Integral Equation

1963 ◽  
Vol 11 (4) ◽  
pp. 553-560 ◽  
Author(s):  
Olavi Hellman
Keyword(s):  
Integral Equation ◽  
Asymptotic Solution

Indentation of an Elastic Layer by an Array of Punches Moving With Steady Velocity

1971 ◽  
Vol 38 (1) ◽  
pp. 92-98 ◽  
Author(s):  
L. M. Keer ◽  
C. Sve
Keyword(s):  
Integral Equation ◽  
Asymptotic Solution ◽  
Elastic Layer ◽  
Wave Speed ◽  
Plane Elasticity ◽  
Contact Length ◽  
Dual Series Equations ◽  
Infinite Array ◽  
Rayleigh Wave Speed ◽  
Steady Velocity

A solution is presented for the problem of an elastic layer that is indented by an infinite array of punches moving with a steady velocity below the Rayleigh wave speed. The layer is assumed to be loaded symmetrically about its midplane. The equations of plane elasticity are used to develop dual series equations which are reduced to a single Fredholm integral equation. An asymptotic solution to the integral equation is developed for the case when the ratio of contact length to punch spacing is small, and it is compared with a numerical solution. Numerical calculations for the effective stiffness of the layer and the stresses along the midplane are included.

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