Date of Award
Master of Science (MS)
Martin, Anthony Q
An extrapolation technique is presented which reduces the computational demands of obtaining a wide-band electromagnetic response from a resonant antenna using traditional computational methods. It has been shown that a wide-band response can be extrapolated by fitting early-time and low-frequency data as a summation of orthogonal polynomials. However, because the polynomials provide compact time support, representation of long time responses intrinsic to resonant structures in practice proves inefficient and can lead to numerical instabilities. This thesis outlines incorporating damped sinusoids to efficiently and reliably extrapolate time and frequency responses of resonant antennas due to a wide-band source. A genetic algorithm is used to select necessary parameters. The current response of several resonant antennas is accurately extrapolated. The transmission-line matrix method and the method of moments are used to compute early-time and low-frequency data, respectively. Fundamentally different discretizations are used, illustrating the independence of the technique and the computational methods used.
Frye, James, "Extrapolation of Time and Frequency Responses of Resonant Antennas using Damped Sinusoids and Orthogonal Polynomials" (2007). All Theses. 84.