MRTD (Multi Resolution Time Domain) Method in Electromagnetics (Synthesis Lectures in Computational Electromagnetics)

Modern RF devices are built on a variety of technologies for a wide array of functionalities (cellular telephony, wireless data systems, radar, and many others). Design turnaround and performance gains found in the semiconductor device market are now expected in the RF circuit arena. Such work generally requires a full-wave electromagnetic simulator, and time domain techniques are particularly well suited to these devices. This lecture presents techniques that can be used to model complex microwave structures in multiresolution time domain method (MRTD). The authors purpose is to present the MRTD technique to readers unfamiliar with wavelet analysis and who have little or no experience in numerical modeling. Advanced readers will benefit from the discussion of new MRTD techniques and examples. The first section of the lecture presents a general overview of the MRTD technique, as well as its properties and implementation. Subsequent sections focus on the implementation of the MRTD technique using Haar basis functions. Readers will find the Haar wavelets presentation a simple introduction to MRTD that also presents the framework for a powerful, adaptive simulator. In addition, the MRTD technique is presented as an adaptive alternative to finite difference time domain method (FDTD). This lecture includes a brief overview of the FDTD and several MRTD examples will be contrasted to FDTD.