Closed-Form Formulas for Frequency-Dependent Per-Unit-Length Inductance and Resistance of Microstrip Transmission Lines That Provide Causal Response

Closed-form expressions for the approximation of frequency variations of per-unit-length resistance and inductance of microstrip transmission lines are presented. The provided expressions guarantee causality of the time-domain response. They are valid from dc up to the highest frequencies for which...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2014-12, Vol.56 (6), p.1604-1612
Main Authors: Djordjevic, Antonije R., Stojilovic, Mirjana, Sarkar, Tapan K.
Format: Article
Language:English
Subjects:
Approximation
Approximation methods
Causality
Closed-form solutions
Electromagnetic compatibility
Exact solutions
Frequency shift keying
Frequency variation
Ground plane
Inductance
Mathematical analysis
Microstrip
microstrip lines
Microstrip transmission lines
Power transmission lines
Resistance
signal integrity (SI)
transmission lines
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Summary:Closed-form expressions for the approximation of frequency variations of per-unit-length resistance and inductance of microstrip transmission lines are presented. The provided expressions guarantee causality of the time-domain response. They are valid from dc up to the highest frequencies for which the quasi-static analysis of microstrip transmission lines is applicable. Additionally, the expressions take into account the finite width of the ground plane and can deal with a broad range of dimensions of microstrip lines. The correctness of the formulas is experimentally verified.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2014.2327052