International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

International Tables for Crystallography (2006). Vol. C. ch. 4.4, p. 442

Section 4.4.2.7.2. Rotation of the polarization direction

I. S. Andersona and O. Schärpff

4.4.2.7.2. Rotation of the polarization direction

| top | pdf |

The polarization direction can be changed by the adiabatic change of the guide-field direction so that the direction of the polarization follows it. Such a rotation is performed by a spin turner or spin rotator (Schärpf & Capellmann, 1993[link]; Williams, 1988[link]).

Alternatively, the direction of polarization can be rotated relative to the guide field by using the property of precession described above. If a polarized beam enters a region where the field is inclined to the polarization axis, then the polarization vector P will precess about the new field direction. The precession angle will depend on the magnitude of the field and the time spent in the field region. By adjustment of these two parameters together with the field direction, a defined, though wavelength-dependent, rotation of P can be achieved. A simple device uses the non-adiabatic fast passage through the windings of two rectangular solenoids, wound orthogonally one on top of the other. In this way, the direction of the precession field axis is determined by the ratio of the currents in the two coils, and the sizes of the fields determine the angle [\varphi] of the precession. The orientation of the polarization vector can therefore be defined in any direction.

In order to produce a continuous rotation of the polarization, i.e. a well defined precession, as required in neutron spin-echo (NSE) applications, precession coils are used. In the simplest case, these are long solenoids where the change of the field integral over the cross section can be corrected by Fresnel coils (Mezei, 1972[link]). More recently, Zeyen & Rem (1996[link]) have developed and implemented optimal field-shape (OFS) coils. The field in these coils follows a cosine squared shape that results from the optimization of the line integral homogeneity. The OFS coils can be wound over a very small diameter, thereby reducing stray fields drastically.

References

First citation Mezei, F. (1972). Neutron spin-echo: a new concept in polarized thermal neutron techniques. Z. Phys. 255, 146–160.Google Scholar
First citation Schärpf, O. & Capellmann, H. (1993). The xyz-difference method with polarized neutrons and the separation of coherent, spin-incoherent, and magnetic scattering cross sections in a multidetector. Phys. Status Solidi A, 135, 359–379.Google Scholar
First citation Williams, W. G. (1988). Polarized neutrons. Oxford Series on Neutron Scattering in Condensed Matter, Vol. 1. Oxford: Clarendon Press.Google Scholar
First citation Zeyen, C. M. E. & Rem, P. C. (1996). Optimal Larmor precession magnetic field shapes: application to neutron spin echo three-axis spectrometry. Meas. Sci. Tech. 7, 782–791.Google Scholar








































to end of page
to top of page