The inverse scattering problem for LCRG transmission lines

The inverse scattering problem for one‐dimensional nonuniform transmission lines with inductance L(z), capacitance C(z), series resistance R(z) and shunt conductance G(z) per unit length (z∈R) is considered. It is reduced to the inverse scattering problem for the Zakharov–Shabat system. It is found that one can construct from the data the following functions of the travel time x: q±(x)=[(1/4)(d/dx)(ln(L/C))±(1/2)(R/L−G/C)] ×exp(∓∫x∞(R/L+G/C)dy).