A fast calculation of impedances of dipoles near cylindrical structure by applying asymptotic waveform evaluation in a spectrum of 2D solutions

Abstract

for the simulation of weakly nonlinear communication circuits, IEEE Trans Microwave Theory Tech 52 (2004

On the odd-even property of functions for boundary currents over k/sub z/ in a spectrum of two-dimensional solutions

“…Using the odd-even properties in Tables I and III, one can obtain that is an even function over and replacing with in the above integral leads to (9) Therefore (10) which shows only positive is needed. The above analysis can be repeated for the other mutual coupling elements.…”

“…It is efficient to calculate mutual couplings between 3-D elements contributed from 2-D cylindrical structures by using S2DS [3]- [5], [9]. For example, the mutual coupling from the incremental transverse current at to the transverse E-field at due to the existence of 2-D cylindrical structure can be expressed as (7) (3) where is the mutual coupling in spectral domain from at via the 2-D structure to at , which can be written as (8) where…”

“…The 3-D excitation elements are in this work discretized into small current source segments that are treated as incremental current sources, which are referred to as 3-D transverse electric and magnetic currents and , 3-D longitudinal electric and magnetic currents and , respectively. The algorithm G2DMULT is based on the S2DS technique that calculates the spectral Green's functions of 2-D multiregion structures by using the method of moment (MoM) [6]- [9]. It makes use of the following definition of the Fourier transform and the inverse transform [8] (1)…”

“…I T has been shown that it is very efficient to calculate the radiating or scattering characteristics and impedances of threedimensional (3-D) excitation elements in the vicinity of two-dimensional (2-D) cylindrical structures by using a spectrum of two-dimensional solutions (S2DS) [1]- [9]. For the impedance calculation, the inverse Fourier transform must be performed [9].…”

“…For the impedance calculation, the inverse Fourier transform must be performed [9]. For the calculation of the far-field functions at an elevation angle (referred to a axis along the cylinder axis), the 2-D solution at is needed.…”