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An exact TEM calculation of loss in a stripline of arbitrary dimensions

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2 Author(s)
Rawal, S. ; Dept. of Electr. Eng., Houston Univ., TX, USA ; Jackson, D.R.

Based on a modification of a conformal mapping originally introduced by R.H.T. Bates (1956), an exact expression for the quasi-static conductive attenuation constant αc, of a general stripline with arbitrary dimensions is obtained. The method is based on a quasi-static formula for αc which assumes a transverse electromagnetic (TEM) mode and is thus restricted to the case where the skin depth is small compared to the strip thickness. The final formula for αc involves an integral of only a smoothly varying function, since an analytic extraction of a term representing the singular behavior of the charge density is performed in the analysis. A comparison of the results obtained using the present method and the approximate formulas of S.B. Cohn (1955) shows that a maximum error of about 5-6% occurs in the Cohn formulas at a point where the two approximate formulas are joined

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:39 ,  Issue: 4 )