The Asymptotic Solution of an Integral Equation for Magnetic Current in a Problem of Waveguides Coupling Through Narrow Slots

Abstract

Abstract-Based on the asymptotic method of averaging, an approximate analytical solution of the integral equation concerning a magnetic current in slot-hole coupling apertures of electrodynamic volumes, which differ profitably from the known ones in literature, has been obtained. The formulas for the currents and characteristics scattering of transverse and longitudinal slots in common broad and narrow walls of rectangular waveguides are given. The comparison to results obtained by other methods and experimental data has been done.

Application of Quasi Monte Carlo Integration Technique in Efficient Capacitance Computation

“…As the third example, a cylindrical capacitor is considered as shown in Figure 3 with inner cylinder radius a = 1 m, outer radius b = 2 m and length L = 2π m. The self term matrix element as given (8) with ρ n taking constant values a or b depending on the value of n. The segment S n has the midpoints (ρ n , φ n , z n ) and is sampled by Halton points φ and z along the φ and z directions respectively with base 3. The capacitance values are computed for several cases such as with respect to variation in number of segments and variation in spacing between the cylindrical plates.…”

“…The Method of Moments (MoM) [1][2][3][4] is one of the widely used numerical techniques employed for the solution of variety of problems formulated in the form of integral equations [5][6][7][8][9][10]. The MoM is based upon the transformation of an integral equation, into a matrix equation by employing expansion of the unknown in terms of known basis functions with unknown coefficients to be determined.…”

Electromagnetic Fields Excitation by a Multielement Vibrator-Slot Structures in Coupled Electrodynamics Volumes

“…Here J 0 1 (2) and J 0 3 are unknown current amplitudes, f 1(2) (s 1 (2) ) and f 3 (s 3 ) are distribution functions, obtained by solving equations for currents in a single vibrator and a slot by averaging method [21,22]. For the vibrator-slot structure excited by fundamental wave H 10 according to [13], we have…”

Study of an Electrically Anisotropic Cylinder Excited Magnetically by a Straight Strip Line

“…It is common knowledge that the magnetic field produced by the excited structure is given by the following integral [29]:…”