The Pulsed-Field Multiport Antenna System Reciprocity Relation and Its Applications—A Time-Domain Approach

Abstract

Abstract-A novel time-domain approach to the derivation of the pulsed electromagnetic field multiport antenna system reciprocity theorem is presented. The theorem interrelates the field and system properties in two states: the transmitting state and the receiving state. General time-domain Thévenin (voltage-source, impedance-based) and Norton (electric-current source, admittance-based) type equivalent circuits are constructed for antenna systems whose local properties are described in terms of multiport Kirchhoff circuits. Applications to an indoor wireless communication performance analysis and the analysis of cosmic microwave background radiation measurement are briefly indicated. Numerical results are provided for the pulsed-field transfer between two wire loops, a configuration that is representative for the operation of wireless telecommunication systems and for the pulsed-field EM interference analysis in nano-electronic integrated circuit devices.

Loop-to-loop pulsed electromagnetic field wireless signal transfer

“…For the case of loops of sufÀciently small maximum diameter, the application of the electromagnetic reciprocity theorem of the time-convolution type leads to the following expression for the equivalent Thévenin circuit generator voltage [5] …”

“…In the plots, |X| is normalized with respect to the spatial extent of the prototype power exponential pulse via |X| norm = |X|/c 0 t w and the generator source voltage V G (t) is normalized as in [5] via The numerical results are evaluated for two types of excitations: (i) a time-differentiated power exponential pulse (see Fig. 4 for the relevant receiving loop response); (ii) a time-differentiated power exponential ringing cosine pulse (see Fig.…”

“…The electromagnetic tool for the analysis is provided by the electromagnetic Àeld/source reciprocity theorem of the timeconvolution type that has been discussed in [5]. Through it, the response of the receiving loop follows from an equivalent Thévenin Kirchhoff circuit whose generator voltage strength is expressed in terms of the exciting current in the transmitting loop and the geometry of the loop-to-loop conÀguration.…”

Time-domain analysis of the pulsed EM field in planarly layered configurations: Principles and software implementation

“…ii The signal intercepted by a nearby located receiving antenna can be calculated using, e.g., the general framework in [17]. iii The availability of the eld quantities with (practical) arbitrary spatial and temporal resolutions is the basis for constructing TD equivalents of the radiation patterns, with [18], [19] discussing effective energy evaluation methodologies that are conducive to this end.…”

Receiving‐antenna Kirchhoff‐equivalent circuits and their scattering reciprocity properties

“…The method of analysis presented in this paper adopts the rigorous procedure based on the Lorentz reciprocity theorem of the time-convolution type [8]. This formulation applies the reciprocity theorem to a single antenna interrelating the global EM field quantities in the embedding with the local Kirchhoff-circuit quantities of one and the same antenna system operating in the transmitting and receiving mode [9].…”