By Rainee N. Simons

Up to date insurance of the research and purposes of coplanar waveguides to microwave circuits and antennas

The specified characteristic of coplanar waveguides, in place of extra traditional waveguides, is their uniplanar development, within which the entire conductors are aligned at the similar aspect of the substrate. this option simplifies production and permits quicker and cheaper characterization utilizing on-wafer techniques.

Coplanar Waveguide Circuits, elements, and structures is an engineer's whole source, gathering the entire on hand info at the topic. Rainee Simons completely discusses propagation parameters for traditional coplanar waveguides and contains worthwhile information comparable to the derivation of the basic equations, actual reasons, 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 section shifters
- Tunable units utilizing ferroelectric fabrics
- Photonic bandgap constructions
- published circuit antennas

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

**Example text**

28) into Eq. 1) gives C K(k ) . 29) Substituting Eqs. 14) gives : 1; . 30) Substituting Eq. 31) and Eqs. 31) gives Z : (( The expression for K(k ) . ; 1)/2 K(k ) 30 and Z are identical to those given by Wen [1]. 5. In this case : 1 and h : h : -. Hence Eq. 33) where k and k are given by Eqs. 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.

28). Knowing C , C , and C allows one to derive an expression of as follows: : ( 9 ) K(k ) K(k ) ;1 . 49) The Z from Eq. 20a) is 30 Z : ( K(k ) . 50) In [7] the Z computed using Eq. 50) and by the spectral domain method are compared for a wide range of parameters. The spectral domain computations are carried out at 1 GHz to avoid the effect of frequency dispersion. 2 presents this comparison. The comparison shows that the accuracy of the conformal mapping results in better than 1 percent for wide range of physical dimensions and available dielectric materials.

The CPW is then divided into several partial regions and the electric ﬁeld is assumed to exist only in that partial region. In this manner the capacitance of each partial region is determined separately. The total capacitance is then the sum of the partial capacitances [2]. Expressions for the partial capacitances of the sandwiched CPW will be derived ﬁrst and later extended to the case of CPW on a double-layer dielectric. 2(a) to (c). 5 :C ;C ;C . 1) In this equation C and C are the partial capacitance of the CPW with only the lower and the upper dielectric layers, respectively.