Single-Series Solution to the Radiation of Loop Antenna in the Presence of a Conducting Sphere

Abstract

Abstract-A ring source of arbitrary current backed by a perfectly conducting sphere is analyzed through Green's function formulation. The infinite double sum of the Green's function is written in terms of a single series by performing a transformation of the coordinate system. The resulting form is used for the numerical evaluation of the scattering integral. The operation of the coupled loop-sphere structure is understood via the discussion of several numerical results.

An Overview of the Watson Transformation Presented Through a Simple Example

“…With use of the spherical eigenfunctions and their orthogonality properties specified in [15], the expansions for each component of the surface current (1) are obtained.…”

Measurement of Rf PCB Dielectric Properties and Losses

“…lower than theoretically expected. It is primarily due to the radiation loss that affects the characterizing of the loss factor of the quarterwavelength open stub resonator [12][13][14][15][16][17][18]. As shown in Figure 5, a parallel-plane structure is placed in a 9 m × 6 m × 6 m Semi-Anechoic Chamber for measuring its overall maximum radiation field.…”

CLOSED–FORM SOLUTION TO THE SCATTERING OF a SKEW STRIP FIELD BY METALLIC PIN IN a SLAB

“…The quantity multiplying the Green's function in (21), is necessary for the evaluation of a line integral [15]. In our case, it is simplified to give:…”

“…Our purpose is to find the "secondary" Green's function, namely the field owed to the tiny metallic pin, through the scattering theorem employed in [21]. Consequently, we need the Green's function of the coupled cylinder-slab structure and the incident field upon it, developed by the singular source of the previous section.…”