Research Experience for Undergraduates
Program in Mathematics at Mississippi State University
Location: Allen 14
Phase problems in inverse scattering
The phase problem consists of the determination of the phase
of a complex-valued function from its amplitude. In general, there are
infinitely many complex-valued functions with the same amplitude. What additional information does one need in
order to recover the phase from amplitude measurements?
Such an important problem arises in various fields, one of which is neutron reflectometry, where the aim is to determine material properties of thin films by probing them with a neutron beam and by measuring the amplitude of the complex-valued reflection coefficient. Can one construct the phase of the reflection coefficient so that material properties of thin films unambiguously determined by amplitude measurements alone?
Refreshments served in our faculty lounge at 3:30 p.m.