By Baumann C.
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Extra resources for A simple and fast look-up table method to compute the Exp and Ln functions
10 presents closed form expressions for and Z for CPW on cylindrical surfaces. 11 presents the effect of metal thickness on and Z of conventional CPW. 1(a) and (b). These two CPW structures are designated as sandwiched CPW and CPW on a doublelayer substrate respectively. In these ﬁgures the CPW center strip conductor width S is equal to 2a and the distance of separation between the two semi-inﬁnite ground planes in 2b. Consequently the slot width W is equal to b 9 a. The two dielectric substrate thicknesses are designated as h , h and as h , h 9 h in the case of sandwiched CPW and CPW on a double-layer substrate, respectively.
2 closed form expressions for and Z for CPW variants are presented. These expressions are derived using conformal mapping techniques. The conformal mapping technique assumes a quasi-static TEM mode of propagation along the line. 3 brieﬂy explains iterative techniques to determine quasi-static and Z . The iterative methods considered are the relaxation method and the hybrid method. 4 presents a detailed analysis of CPW using the spectral domain method. In this method the frequency dependence ignored in the conformal mapping technique is taken into consideration.
7 presents the characteristics of CPW with elevated or buried center strip conductor. Using these CPW structures very high Z can be achieved. 8 presents the characteristics of CPW with ground plane or center strip conductor underpasses. Using these CPW structures very low Z can be achieved. 9 presents the ﬁeld components of conventional CPW. 10 presents closed form expressions for and Z for CPW on cylindrical surfaces. 11 presents the effect of metal thickness on and Z of conventional CPW. 1(a) and (b).