Eur. Phys. J. Appl. Phys.
Volume 81, Number 2, February 2018
|Number of page(s)||9|
|Section||Instrumentation and Metrology|
|Published online||08 June 2018|
Kron–Branin modelling of ultra-short pulsed signal microelectrode
Normandy University UNIROUEN, ESIGELEC, IRSEEM, Technopole du Madrillet,
Avenue Galilée, BP 10024,
Saint Etienne du Rouvray, France
2 Normandy University UNIROUEN, GPM UMR 6634 CNRS, Technopole du Madrillet, Av. de l’Université, 76801 Saint Etienne du Rouvray, France
* e-mail: Zhifei.Xu@esigelec.fr
Received in final form: 23 January 2018
Accepted: 21 February 2018
Published online: 8 June 2018
An uncommon circuit modelling of microelectrode for ultra-short signal propagation is developed. The proposed model is based on the Tensorial Analysis of Network (TAN) using the Kron–Branin (KB) formalism. The systemic graph topology equivalent to the considered structure problem is established by assuming as unknown variables the branch currents. The TAN mathematical solution is determined after the KB characteristic matrix identification. The TAN can integrate various structure physical parameters. As proof of concept, via hole ended microelectrodes implemented on Kapton substrate were designed, fabricated and tested. The 0.1-MHz-to-6-GHz S-parameter KB model, simulation and measurement are in good agreement. In addition, time-domain analyses with nanosecond duration pulse signals were carried out to predict the microelectrode signal integrity. The modelled microstrip electrode is usually integrated in the atom probe tomography. The proposed unfamiliar KB method is particularly beneficial with respect to the computation speed and adaptability to various structures.
© EDP Sciences, 2018
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