Normalized impedance means impedance divided by the characteristic impedance of the air, [z.sub.0] = [rho][c.sub.0].

The resultant matrix is the

normalized impedance matrix [[??]], as shown in

2(c) presents the

normalized impedance of the material, the real value of which is near unity within the non-resonant region, ensuring a good match between the antenna and air.

2(a) represents the relation between

normalized impedance ratio ([Z.sub.a]/[Z.sub.0]) and ([Z.sub.S1]/[Z.sub.0]) plotted against electrical lengths [[theta].sub.a] or [[theta].sub.S1] and likewise Fig.

The magnitude and phase of the

normalized impedance for a vent length of 1.0 m (39.4 in.) is compared in Figure 8.

To scale the impedance of the model from the

normalized impedance, i.e., [g.sub.0], to [Z.sub.o], all the J-inverters have to be divided by [Z.sub.o] as given in (2).

So, there is a nonlinear transformation between

normalized impedance z=r+jx and transition parameters [[phi].sub.r], [[phi].sub.x], [[theta].sub.r] and [[theta].sub.x].

* E-mail: sharmasunil43@gmail.com Table 1: Variation of

Normalized Impedance Relative to Tube Radius for Constant Value of Stenosis Height.

The

normalized impedance [Z.sub.norm] (t) is defined by Eq.

Figure 2 shows the

normalized impedance results when the width [W.sub.rf] is varied from 8 to 16 mm and all the other parameters are fixed: [R.sub.cs] = 26 mm, [L.sub.rf] = 16 mm, [G.sub.sf] = 10 mm and [W.sub.f] = 1.94 mm.

Based on the Bloch-Floquet theorem, the propagation constant and the

normalized impedance of the CRLH TL unit cell can be expressed as [4]

Assuming that the available impedance values are in the range of 10 [OMEGA] < [Z.sub.i] < 150 [OMEGA], the

normalized impedance values have the range of 0.2 < [z.sub.i] < 3.