A1 A.A. Muller

AD

A1 S. Lucyszyn

AD

PB iet

T1 Properties of purely reactive Foster and non-Foster passive networks

JN Electronics Letters

VO 51

IS 23

SP 1882

OP 1884

AB The mathematical concept of strongly real functions of positive and negative types is introduced to network theory for the first time. The driving-point reactance/susceptance of a pure Foster network, made up of only ideal positive inductance and capacitance elements, is a strongly real function of real frequency of positive type. As a corollary, for a pure non-Foster network made up of only ideal negative inductance and capacitance elements, the driving-point reactance/susceptance is a strongly real function of real frequency of negative type. It is shown that a condition for a purely reactive passive network to exhibit a positive or negative reactance/susceptance-frequency gradient is that the driving-point immittance should have alternating poles and zeroes lying on the real frequency axis. Finally, it is shown that either purely Foster or non-Foster networks can be constructed by combining ideal Foster and non-Foster reactive elements.

K1 driving-point reactance

K1 network theory

K1 driving-point susceptance

K1 negative inductance

K1 reactive Foster network

K1 capacitance element

K1 frequency gradient

K1 nonFoster passive network

K1 positive inductance

K1 driving-point immittance

DO http://dx.doi.org/10.1049/el.2015.1429

UL http://digital-library.theiet.org/;jsessionid=4rqj4qfm4dqpr.x-iet-live-01content/journals/10.1049/el.2015.1429

LA English

SN 0013-5194

YR 2015

OL EN