The theory of reciprocity as described by Hoult may be generalized to account for the near, intermediate and radiation zone fields of the magnetic dipole. This form of reciprocity is important where the wavelength of the NMR signal is not large compared to the distance scale of the system. In these situations the effects of interference may be significant. In addition, both the frequency dependence and distance dependence of the NMR signal are altered. In general, the distance dependence of the signal may follow a 1/r3, 1/r2 or a 1/r dependence and the signal may be proportional to w, w2 or w3. Finally, the signal will reflect the full vector field nature of the magnetic dipole. The mathematical expression of the generalized reciprocity is equivalent to that of Hoult if the appropriate retarded potential form of the magnetic field is utilized.

Agency
National Institute of Health (NIH)
Institute
National Center for Research Resources (NCRR)
Type
Biotechnology Resource Grants (P41)
Project #
5P41RR002305-15
Application #
6121036
Study Section
Project Start
1998-09-30
Project End
1999-09-29
Budget Start
1997-10-01
Budget End
1998-09-30
Support Year
15
Fiscal Year
1998
Total Cost
Indirect Cost
Name
University of Pennsylvania
Department
Type
DUNS #
042250712
City
Philadelphia
State
PA
Country
United States
Zip Code
19104
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