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Schedule for the Mini-Course on Waves in Inhomogeneous Media
July 28 - August 8, 2003

Lectures will be held in room LCB 215 unless noted otherwise
WEEK 1
Monday, July 28 9:15 - 9:30 Welcome and information from organizers
9:30 - 10:30 Schuster: Overview of geophysical seismic inversion
11:00 - 12:00 Symes: Seismic imaging as an inverse problem
2:00 - 3:00 E. Cherkaev: Inverse problems for Maxwell equations in time and frequency domains
Tuesday, July 29 9:30 - 10:30 Papanicolaou: Overview of imaging in clutter
11:00 - 12:00 Symes: High frequency asymptotics and imaging operators
1:30 - 2:30 Schuster: Basics of seismic migration
4:00 - 5:00 Problem / discussion session
Wednesday, July 30 9:30 - 10:30 Papanicolaou: Synthetic aperture imaging and Kirchhoff migration
11:00 - 12:00 Symes: Basics of seismic traveltime tomography
3:30 - 7:30 Barbeque
Thursday, July 31
Lectures in Olpin Union
Panorama Room East
9:30 - 10:30 Papanicolaou: Introduction to waves in random media
11:00 - 12:00 Symes: A step beyond linearization: velocity analysis
1:30 - 2:30 Papanicolaou: Basic time reversal and matched fields
3:00 - 4:00 Robert Nowack: Gaussian beam migration
4:00 - 5:00 Problem / discussion session
Friday, August 1
Lectures in Olpin Union
Panorama Room East
9:30 - 10:30 Papanicolaou: Local data covariance reduction
11:00 - 12:00 E. Cherkaev: Ill-posed problems and regularization
1:30 - 2:30 Schuster: Galileo was a migrationist
3:00 - 4:00 Dobson: Introduction to waves in periodic media
Saturday, August 2 Free day
Sunday, August 3 Canyon hike. Those interested please meet on the Math Plaza at 8:00 am.
WEEK 2
Monday, August 4 9:30 - 10:30 Milton: Rainbows, halos, and glories: mathematics in nature
11:00 - 12:00 A. Cherkaev: Waves in chains and lattices 1
1:30 - 2:30 Balk: Linear waves in plain media: What ships and ducks have in common (quantitatively)?
3:00 - 4:00 Dobson: Waves in periodic media and optimal design 1
4:00 - 5:00 Problem / discussion session
Tuesday, August 5 9:30 - 10:30 Milton:Analyticity of the effective medium constant
11:00 - 12:00 A. Cherkaev: Waves in chains and lattices 2
1:30 - 2:30 Golden: Sea ice 1
3:00 - 4:00 Dobson: Waves in periodic media and optimal design 2
4:00 - 5:00 Balk: Propagation through random media: Twinkle, twinkle little star
Wed, August 6 9:30 - 10:30 Milton: Some surprises concerning the speed at which a pulse propagates in a composite medium
11:00 - 12:00 A. Cherkaev: Waves in chains and lattices 3
1:30 - 2:30 Golden: Sea ice 2
3:00 - 4:00 Balk: Turbulent transport: How does the rain start?
4:00 - 5:00 E. Cherkaev: Recovering spectral functions from effective measurements
Final problem / discussion session
Mini-symposium on current research topics in waves in inhomogeneous media
Thursday, August 7 9:30 - 10:10 Jakob Jensen (TU Denmark): Topology optimization of bandgap structures
10:10 - 10:50 Eduard Kirr (Chicago): From periodic to random inhomogeneities along optical waveguides
11:20 - 12:00 Alexander Figotin (UC Irvine): Unidirectional wave propagation in nonreciprocal photonic crystals
1:30 - 2:10 McKay Hyde (Minnesota): Fast, high-order methods for scattering by inhomogeneous media
2:10 - 2:50 Yury Grabovsky (Temple): Extrapolation of complex electromagnetic permittivity function using least squares approach
3:10 - 3:50 Oscar Bruno (Caltech): High-order, high-frequency methods in computational electromagnetism
3:50 - 4:30 Tom Robbins: Traveling periodic waves for integrodifference models
Friday, August 8 Mini-course concludes. No lectures scheduled since many participants will be traveling to the conference in Irvine.
VIGRE Steering Committee
Department of Mathematics
University of Utah
155 South 1400 East; Room 233
Salt Lake City, UT 84112
email: viscom@math.utah.edu