Columbia Mathematics Department Colloquium

" Optimal illumination and wave form design for imaging edges"


George C. Papanicolaou



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