and by substitution of (11) into (10), the scattering parameters are now found in terms of

impedance matrix as follows,

Another approach by Jiang [5] and Mimani and Munjal [6] is based on an

impedance matrix, which is obtained by either plane wave analysis or the boundary or finite element method.

Consider, for example, the

impedance matrix representation of a system in which case we have

Impedance matrix or Z-matrix is other useful method.

For fiber lining, the absorption is modeled using a complex

impedance matrix expressed in modal coordinates to describe the impedance of the lining on the acoustic cavity.

Figure 2(b) illustrates the condition number of the

impedance matrix for three EFIE schemes.

which is the inverse matrix of the

impedance matrix [?

The microwave network is described by

impedance matrix [Y].

Three-phase modeling of unbalanced distribution systems during open conductors and/or shunt fault conditions using the bus

impedance matrix.

While using an

impedance matrix to define a network might be more intuitive, it is actually more difficult to get the proper measurements; therefore, S-Parameters are the choice of the digital designer.

Rather than expressing the relationship between a's and b's in terms of a nonlinear large-signal scattering matrix S, we can alternatively express the relationship between voltages (V's) and currents (I's) in terms of a nonlinear large-signal

impedance matrix Z, as follows

The

impedance matrix, derived from the relations between voltage and current at z = -l and z = 0, is obtained as