DocumentCode :
1300651
Title :
Analytically determined quasi-static parameters of shielded or open multiconductor microstrip lines
Author :
Homentcovschi, Dorel ; Oprea, Radu
Author_Institution :
Inst. of Appl. Math., Acad. of Sci., Bucharest, Romania
Volume :
46
Issue :
1
fYear :
1998
fDate :
1/1/1998 12:00:00 AM
Firstpage :
18
Lastpage :
24
Abstract :
An exact analytical expression for the capacitance matrix of a shielded or open multiconductor microstrip structure is derived by solving the system´s dual integral equations by constructing a Volterra boundary-value problem (BVP). The solution is expressed in terms of infinite matrices with very good convergence properties. This new approach uses a series of Bessel functions rather than trigonometric series to approximate the solution which results in an efficient algorithm. Simplified formulas are given for the even and odd capacitance of symmetric coupled microstrip lines and compared to the results given by the finite analytical solution available in this particular case. Numerical examples demonstrate that the method yields accurate results and is computationally effective for structures having a large number of conductors
Keywords :
Bessel functions; Volterra equations; boundary-value problems; capacitance; convergence of numerical methods; electromagnetic shielding; microstrip lines; transmission line matrix methods; Bessel function; Volterra boundary-value problem; algorithm; capacitance matrix; convergence; dual integral equations; multiconductor microstrip line; quasi-static parameters; shielding; symmetric coupled microstrip lines; Boundary conditions; Capacitance; Coupling circuits; Electric potential; Geometry; Integral equations; Microstrip; Multiconductor transmission lines; Symmetric matrices; Transmission line matrix methods;
fLanguage :
English
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9480
Type :
jour
DOI :
10.1109/22.654918
Filename :
654918
Link To Document :
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