A Simplified Derivation of Causality From Passivity for the Impedance Representation of Transmitting Antennas

A relatively simple, straightforward, self-contained derivation, sufficiently general for most engineering purposes, is given to show that passivity implies causality for the input-impedance representation of linear, single-port, time-invariant transmitting antennas. The necessary and sufficient con...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 70; no. 1; pp. 762 - 766
Main Author Yaghjian, Arthur D.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Antennas
Bandwidth
Causality
Derivation
Fourier transforms
Impedance
Input impedance
networks
Passivity
Reactance
Representations
Stability
Stability criteria
Time domain analysis
Transmission
Transmitting antennas
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Summary:A relatively simple, straightforward, self-contained derivation, sufficiently general for most engineering purposes, is given to show that passivity implies causality for the input-impedance representation of linear, single-port, time-invariant transmitting antennas. The necessary and sufficient condition on the time-domain input impedance for the electrical stability of these antennas is also derived. It is shown that a series resistance-reactance representation of the input impedance of an antiresonant passive antenna has a noncausal and nonpassive time-domain resistance and reactance, even though the total time-domain input impedance satisfies the passivity, causality, and stability conditions.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2021.3098531