Mathematical Sciences: Inverse Problems in Potential        Scattering
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
Professors R. Lavine and A. Nachman plan to continue their                 joint work on some of the analytical problems still standing in the             way of a complete theory of exact inversion in potential scattering.            They propose to determine a general class of potentials and                     corresponding scattering amplitudes for which one can implement the             Nachman-Ablowitz inversion method.                                                   The first objective of this research is to be able to                      characterize among all functions of energy and incoming and outgoing            angles, those which are scattering amplitudes for local potentials.                  Further objectives are to find a reconstruction procedure for              noisy data, study the stability of the inversion, and the                       possibility of reconstruction from partial knowledge of the data.                    Extensions to analogous problems with time-dependent scatterers            will also be considered.                                                             Research of this type is aimed at solving the long standing                problem of reconstructing the shape of an obstacle from measurements            of reflected and scattered acoustic or electromagnetic waves.
[{'FirstName': 'Richard', 'LastName': 'Lavine', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard B Lavine', 'EmailAddress': None, 'NSF_ID': '000213351', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Adrian', 'LastName': 'Nachman', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Adrian Nachman', 'EmailAddress': 'adnm@math.rochester.edu', 'NSF_ID': '000191852', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'University of Rochester', 'CityName': 'ROCHESTER', 'ZipCode': '146113847', 'PhoneNumber': '5852754031', 'StreetAddress': '910 GENESEE ST', 'StreetAddress2': 'STE 200', 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '25', 'CONGRESS_DISTRICT_ORG': 'NY25', 'ORG_UEI_NUM': 'F27KDXZMF9Y8', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ROCHESTER', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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