Seminars in Applied Mathematics and Statistics

Speaker Name: 
George Papanicolaou
Speaker Title: 
Professor of Mathematics
Speaker Organization: 
Stanford University
Start Time: 
Monday, October 16, 2017 - 4:00pm
End Time: 
Monday, October 16, 2017 - 5:00pm
E2 180
Prof. Dongwook Lee

Title: Imaging with intensities only

Abstract: High frequency imaging with optical, infrared or microwave systems must be done with only intensities because phases, or time resolved signals, cannot be recorded. Phase retrieval methods have been developed over a long time and are flexible and effective but depend on prior information about the image and can give uneven results. When, however, multiple illuminations of the object to be imaged are available then it may be possible to recover the missing phase information. This is holographic imaging. I will present some recent results that use multiple illuminations and I will discuss associated imaging methods, their resolution and their robustness. I will also present the results of numerical simulations using these methods in optical and microwave imaging.