Event Type:

Department Colloquium

Date/Time:

Tuesday, February 7, 2006 - 07:00

Location:

Dearborn 118

Guest Speaker:

Institution:

North Carolina State University

Abstract:

Speaker is Candidate for The Mathematics Department Numerical Analysis position. We consider an electromagnetic interrogation technique in two dimensions for identifying the dielectric parameters of a first order dispersive dielectric (Debye medium). In this technique a travelling acoustic pressure wave in the Debye medium is used as a virtual reflector for an interrogating microwave electromagnetic pulse that is generated in free space. The reflections of the microwave pulse from the air-Debye interface and from the acoustic pressure wave are recorded at a remote antenna. The data is used in an inverse problem formulation to estimate the locally pressure dependent dielectric parameters of the Debye medium. Using statistical error analysis we construct confidence intervals for all the presented estimates, thereby providing a probabilistic statement about the computational procedure with uncertainty aspects of estimates. Relevant applications include noninvasive interrogation of living tissue to detect anomalies such as cancerous tumors.