By Rainee N. Simons

Up to date assurance of the research and functions of coplanar waveguides to microwave circuits and antennas

The distinct characteristic of coplanar waveguides, in place of extra traditional waveguides, is their uniplanar building, within which the entire conductors are aligned at the similar facet of the substrate. this selection simplifies production and permits speedier and cheaper characterization utilizing on-wafer techniques.

Coplanar Waveguide Circuits, elements, and structures is an engineer's whole source, accumulating all the on hand facts at the topic. Rainee Simons completely discusses propagation parameters for traditional coplanar waveguides and contains important info comparable to the derivation of the elemental equations, actual causes, and numerical examples.

Coverage additionally contains:

- Discontinuities and circuit parts
- Transitions to different transmission media
- Directional couplers, hybrids, and magic T
- Microelectromechanical platforms established switches and part shifters
- Tunable units utilizing ferroelectric fabrics
- Photonic bandgap constructions
- revealed circuit antennas

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**Additional info for Coplanar Waveguide Circuits Components & Systems**

**Sample text**

In [9] both and Z are computed as a function of h in the range of 5 to 50 m for a CPW with S : 50 m, W : 30 m, : 13, : 4, and the thickness of the lower substrate, (h 9 h ) equal to 500 m. The computed results are shown to be in good agreement with those obtained using a full wave analysis. The second variant is shown in Fig. 9(b). This structure has an inﬁnitely thick lower dielectric substrate; that is, h is equal to inﬁnity. When h : -, the capacitance C is given by Eq. 25).

4), respectively. From Eqs. 5), when : 1, we have C : 0. 34) From Eqs. 35)(a) K(k ) . 35)(b) and Substituting Eqs. 35) into Eq. 5 Schematic of a CPW on a dielectric substrate of ﬁnite thickness. CONVENTIONAL COPLANAR WAVEGUIDE ON A MULTILAYER DIELECTRIC SUBSTRATE 21 which yields from Eq. 14), C ( 9 1) K(k ) K(k ) . 37) Lastly, from Eq. 38) The expression above of and Z is identical to those given by [4], [5]. 6(a) and (b), respectively, for a CPW on an alumina substrate. 2) is about 10 to 15 percent.

The Z is experimentally determined using a TDR [13], [15] or from scattering parameters (S-parameters) [14] measurements. It should be pointed out that Eq. 05 in. 138 in. 8 to 15 m. Further, as discussed earlier, the accuracy of the computed results depends on the ratios W /h and S/(S ; 2W ). 5. 3 percent. 5. 8 percent. 4; the difference in Z ranges from a few percent to as much as 11 percent. 02 in. 12 Continued. 2 discussed the application of conformal mapping method to CPW and its variants.