求解传输线方程定解的一般边界条件

General Boundary Condition for Definite Solution of Transmission Line Equation

求解传输线上电压/电流分布是分析其工作状态的基础,“微波技术与天线”教材给出了三种边界条件(源端条件、终端条件、电源和阻抗条件)来求解传输线方程通解中的待定系数,从而确定传输线上电压/电流分布。给出传输线方程定解的一般边界条件,即假定已知传输线上任意某点的电压/电流,确定传输线上的电压/电流分布,并将教材中的三种边界条件归纳为一般边界条件的特例。

In the Microwave Technology and Antenna course teaching,transmission line status is featured by the voltage/current distribution on transmission line.In some textbooks,three boundary conditions(source condition,terminal condition,and the condition of source and terminal impedance)are given to solve the coefficients of the general solution of transmission line equation.In this paper,a general boundary condition(voltage/current on any spot of the transmission line)is proposed to determine the voltage/current distribution on the transmission line,and the traditional three boundary conditions can be treated as the specific cases of the general boundary condition.