BLT方程的时域扩展及其在微带线中的应用

摘要

Using microstrip lines as application background, and by employing inverse Laplace transform, multiplications appearing in BLT equation in frequency domain are changed into temporal convolution, and together with series operations, the BLT equation in frequency domain is expanded to time domain. By making use of this BLT equation in time domain, the terminal transient response voltage of an uniform lossy microstrip line is calculated. The numerical simulation results show that the computed results derived from the BLT equation in time domain have a good agreement with those ones in frequency domain, consequently, the validity of the expansion is proved. The numerical simulation results also supply references to the study of lump source excitation effects on microstrip lines.%以微带线为应用背景,使用拉普拉斯逆变换将频域BLT方程中的乘积运算转换为时域卷积,结合级数运算,将频域BLT方程扩展到时域BLT方程,并应用该时域BLT方程计算了均匀有耗微带线的瞬态终端响应电压.数值仿真结果表明,时域BLT方程与频域BLT方程的计算结果一致,从而验证了扩展得到的时域BLT方程的有效性,仿真结果也为微带线的集总源激励效应研究提供了参考.