Exact solutions for shielded printed microstrip lines by the Carleman-Vekua method
- 1 January 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Microwave Theory and Techniques
- Vol. 37 (1) , 21-33
- https://doi.org/10.1109/22.20017
Abstract
Exact analytical solutions for the field of the quasi-TEM (transverse electromagnetic) mode in various cross-sectional configurations of rectangularly shielded printed microstrip lines are obtained on the basis of Carleman-type singular integral equations (SIEs). For the kernel of the SIE, strongly and uniformly convergent series expansions have recently been developed that are suitable for the exact solution of the equation by the Carleman-Vekua regularization method, which proceeds by first solving the so-called dominant equation. The procedure leads to rapidly convergent series solutions for the field of the quasi-TEM mode even when the conductors are large or very near the shield, i.e., in situations for which numerical techniques become inadequate. Characteristic values of the shielded microstrip lines are evaluated by summing a few terms, while field plots, requiring more terms, are shown for various configurations including the case of close proximityKeywords
This publication has 3 references indexed in Scilit:
- Exact solutions for rectangularly shielded lines by the Carleman-Vekua methodIEEE Transactions on Microwave Theory and Techniques, 1988
- Strongly convergent Green's function expansions for rectangularly shielded microstrip linesIEEE Transactions on Microwave Theory and Techniques, 1988
- Strongly and uniformly convergent Green's function expansionsJournal of the Franklin Institute, 1987