Analysis of functional magnetic resonance imaging (fMRI) data requires the application of techniques that are able to identify small signal changes against a noisy background. Many of the most commonly used methods cannot deal with responses which change amplitude in a fashion that cannot easily be
Response function analysis of magnetic optical rotation
β Scribed by William A. Parkinson; Jens Oddershede
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 148 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
The Verdet constant describing magnetic optical rotation MOR in atoms and molecules is analyzed in terms of polarization propagators. The effect, rotation of the plane of polarization of light by a perturbing magnetic field, is modeled through Ε½ . quadratic response functions QRFs . For atomic systems, we prove that the standard third-order MOR expression simplifies to the Becquerel dispersion formulation, also known as the normal Verdet constant. This is shown to arise naturally from QRFs under spherical symmetry. A general proof is also offered for the gauge origin invariance of third-order expressions in systems possessing an inversion center. Finally, methods for assessing the completeness of basis-set representation with respect to MOR calculations are discussed.
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