A Closed Form Analytic Solution for Coupled Nonuniform Transmission Lines

A closed form analytic solution is introduced for arbitrary Coupled Nonuniform Transmission Lines (CNTLs). First, the differential equations of CNTLs are written as a suitable matrix differential equation. Then, the matrix differential equation is solved to obtain the chain parameter matrix of CNTLs. Afterward, the voltage and current of lines are obtained at any point using the chain parameter matrix. The validation of the introduced solution is studied, finally.