Читать книгу Introduction To Modern Planar Transmission Lines - Anand K. Verma - Страница 71

The transmission line section could be treated as a circuit element. Its transfer function is obtained either with respect to the source voltage V_g or with respect to the input voltage V_s at the port‐ aa, as shown in Fig (2.8a). The load current is obtained from Fig (2.8d):

(2.1.102)

The voltage across the load is

(2.1.103)

The transfer function of a transmission line with respect to the source voltage is

(2.1.104)

For a lossless transmission line connected to a matched source and a matched load, i.e.γℓ = jβℓ, Z_g = Z₀, Z_TH = Z₀, Z_L = Z₀, Γ_g = 0 the transfer function is

(2.1.105)

However, if the transfer function is defined by the ratio of the input voltage at the port – aa to the output voltage , H(ω) = e^−γℓ. It is obtained from equation (2.1.104) for Z_g = 0.