Time Domain Wave Propagation in Multilayered Integrated Circuits.
Abstract
The analysis of resonance, input impedance and radiation of the elliptic disk, microstrip structure is rigorously formulated in this paper, using the Scalar and Vector Mathieu Transforms. With the help of these transforms, the resonance frequencies of the structure can be derived exactly using galerkin's method and approximately using a perturbational approach. Expressions for the input impedance and the radiation pattern are also obtained. Theory for quasi-TEM modes propagating in a transversely inhomogeneous (multi-dielectric) longitudinally uniform transmission line, previously derived for time-harmonic waves, is derived for transient signals. It is seen that, while the starting point for the theory is completely different, the result is similar to the time-harmonic theory, and previously derived properties for propagating modes also apply in the transient case. The range of applicability is discussed with a simple example. Exact image method, recently introduced for the solution of electromagnetic field problems involving sources above a planar interface between two homogeneous media, is shown to be valid also for sources located in complex space, which makes its application possible for Gaussian beam analysis.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 31, 1987
- Accession Number
- ADA187462
Entities
People
- Jin A. Kong
Organizations
- Massachusetts Institute of Technology