Work

Generalized Reciprocity

Year: 1998

Type: article

Abstract: The remarkable theorem of reciprocity as described by D. I. Hoult and R. E. Richards (J. Magn. Reson. 24, 71 (1976)) may be generalized to account for the near, intermediate, and radiation zone fields of a magnetic dipole. This form of reciprocity may be important when 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 amplitude are altered. In general, the distance dependence of the signal follows a weighted sum of 1/r3, 1/r2, and 1/r dependence. The frequency dependence of the signal amplitude is a function of omega, omega2, and omega3. Finally, the signal reflects the full vector field nature of the magnetic dipole. The mathematical expression of generalized reciprocity is completely equivalent to that of Hoult and Richards if the appropriate retarded potential form of the magnetic field is utilized.

Source: Journal of Magnetic Resonance

DOI: 10.1006/jmre.1997.1355

Authors: E.K. Insko, M.A. Elliott, J.C. Schotland, J.S. Leigh

Institution: University of Pennsylvania

Language: English

Topic: Advanced NMR Techniques and Applications

Subfield: Spectroscopy

Field: Chemistry

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,500

Funders: National Institutes of Health, National Center for Research Resources