Читать книгу Introduction To Modern Planar Transmission Lines - Anand K. Verma - Страница 101

The output port‐2 is open‐circuited, I₂ = 0. Therefore, from matrix equation (3.1.17): V₁ = A V₂ and I₁ = CV₂.At the open‐circuited output port 2: I₂ = 0, V₁ = V₂ and I₁ = Y V₂. On comparing these equations: A = 1 and C = Y. At the short‐circuited output port 2: V₂ = 0, V₁ = BI₂ and I₁ = DI₂.Using Fig (3.7), for V₂ = 0, V₁ = 0 and I₁ = I₂. On comparing these equations: B = 0 and D = 1. Finally, the [ABCD] matrix of shunt admittance can be written as

(3.1.24)

The [ABCD] matrix could be easily evaluated for the L, T, and π networks, shown in Fig (3.8). The [ABCD] matrix of each element is known and the complete circuit is a cascading of the elements.

Figure 3.7 Shunt admittance.

Figure 3.8 Basic networks.