By Rainee N. Simons
This can be the 1st ebook dedicated totally to the idea and functions of coplanar waveguides, that are turning into very important instead to the extra universal stripline and microstripline waveguides. * writer is stated specialist with a variety of guides during this sector. * First publication committed fullyyt to the speculation and purposes of coplanar waveguides. * vital purposes in telecommunications.
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Extra resources for Coplanar waveguide circuits, components, and systems
19) where c is the velocity of light in free space. 19) give 1 , Z : cC ( 60 K(k ) K(k ) \ ; : . 3(a) to (c). Since these structures resemble those in the previous example, Eqs. 10) are still valid. However, the only change is in the equation for the partial capacitance C , which is as follows : K(k ) . 6) for the modulus of the elliptical integral is still valid. In a manner similar to the previous case by combining the above equations an expression for is obtained which is as follows : : 1 ; q ( 9 1) ; q ( 9 ).
65) : 9 9 : ; 9 k. 66) where FREQUENCY-DEPENDENT TECHNIQUES FOR IMPEDANCE 37 The solutions to Eqs. 68c) For the slot line under consideration k : k : k and k : : k . Hence, for small values of the transform variable , that is, " " : (k 9 , can be less than zero. In that case the hyperbolic functions in Eqs. 68) are replaced by trigonometric functions. The eight unknown coefﬁcients A ( ) to D ( ) are related to the horizontal electric- and magnetic-ﬁeld components at the interfaces y : 0 and y : D by the continuity conditions, to the surface current density on the metal and the electric ﬁeld in the slot at y : h .
However, the only change is in the equation for the partial capacitance C , which is as follows : K(k ) . 6) for the modulus of the elliptical integral is still valid. In a manner similar to the previous case by combining the above equations an expression for is obtained which is as follows : : 1 ; q ( 9 1) ; q ( 9 ). 17) for the partial ﬁlling factors q and q are valid in this case also. Lastly Eq. 20) holds good for the characteristic impedance. In the sections that follow several limiting cases will be discussed and expressions for and Z presented.