Time-Domain Electromagnetic Wave Propagation in MultilayeredMedia

微电子电路封装技术的最新进展已经开始要求对多层介质中的时域电磁波传播有深入的了解。讨论了多层介质中时域电磁波传播的理论和应用中的几个问题：(1)双变形技术在瞬变辐射和耦合问题中的应用；(2)各向异性介质中的瞬变传播；(3)集成电路中非常规传输结构中的波传播；(4)带状传输线中不连续引起的信号失真和电磁散射；(5)三维集成电路封装中的串扰。双变形技术是一种基于变换方法的波模法，它的发展可以寻求更好的物理解释。另一方面，直接的时间域构造，如空间-时间域积分方程法、特征线法、有限差分法、传输线矩阵法，在主要考虑早期响应时有助于提高计算速度，也将被探索。由于各种新的应用，电磁波传播的时域分析取代了频域分析而备受关注。在超大规模集成电路设计中，多层结构由于能够实现更紧凑的封装而变得越来越流行，但由于瞬变电磁耦合而引起的串扰问题必须最小化。当被电磁脉冲激活时，沿不同方向或位于不同高度的相邻传输线可能遭受严重的串扰。随着上升时间变短和时钟频率变高，电路可能会因为过多的串扰而无法工作。这项研究将集中在寻找可靠和计算效率高的技术来计算串扰和辐射量。主要目标之一将是开发等效电路模型，以促进计算机辅助设计。

Recent progress in microelectronic circuit packaging technologies has begun to require a thorough understanding of time-domain electromagnetic wave propagation in multilayered media. Several issues in the theory and applications of the time-domain electromagnetic wave propagation in multilayered media will be addressed: (1) the applications of the double-deformation technique to transient radiation and coupling problems; (2) transient propagation in anisotropic media; (3) wave propagation along nonconventional transmission structures in integrated circuits; (4) signal distortion and electromagnetic scattering due to discontinuities in strip transmission lines; (5) crosstalk in three- dimensional integrated circuit packaging. Better physical interpretation can be sought for through the development of the double deformation technique, which is a wave-mode approach based on transform method. On the other hand, the direct time-domain formations such as the space-time domain integral equations, the method of characteristics, the finite-difference method, the transmission line matrix method help increase computation speed when early-time response is of main concern and will also be explored. Time domain analysis of electromagnetic wave propagation has gained much attention in place of frequency domain analysis because of various new applications. In very-large-scale integrated circuit design, multilayered structures are becoming more popular in light of their capability of achieving a more condensed package, yet the crosstalk problems caused by transient electromagnetic coupling have to be minimized. When activated with electromagnetic pulses, adjacent strips of transmission lines running in different directions or located at different heights can suffer from significant crosstalk. As the rise-time becomes shorter and the clock-rate higher, the circuit may be rendered inoperative because of excessive crosstalk. This research will focus on finding reliable and computationally efficient techniques to calculate the amount of crosstalk and radiation. One of the main goals will be to develop equivalent circuit models to facilitate computer-aided design.