Abstract:

I will first give a general mathematical formulation of array and

distributed sensor imaging, emphasizing interdisciplinary

issues that arise in several areas where imaging is well

developed, such as seismic imaging, ultrasonic non-destructive

testing, sonar, etc. In the second lecture I will discuss various

optimization issues that arise in array imaging and leading to

some interesting analytical problems involving generalized prolate

spheroidal wave functions. In the third lecture I will discuss imaging

in random media (clutter) and the advances that have been made

there recently. I will show results from extensive numerical simulations.

I will first give a general mathematical formulation of array and

distributed sensor imaging, emphasizing interdisciplinary

issues that arise in several areas where imaging is well

developed, such as seismic imaging, ultrasonic non-destructive

testing, sonar, etc. In the second lecture I will discuss various

optimization issues that arise in array imaging and leading to

some interesting analytical problems involving generalized prolate

spheroidal wave functions. In the third lecture I will discuss imaging

in random media (clutter) and the advances that have been made

there recently. I will show results from extensive numerical simulations.

October 10th, Wednesday, 5:00-6:00 pm

Mathematics
520

Tea
will be served at 4:30pm