Transverse magnetic field polarization

A larger frequency shift is possible if the laser is placed in longitudinal or transverse magnetic fields which cause a Zeeman splitting of the upper and lower laser level. With polarizers and quarter wavelength plates one can select the shifted a+ or a- component... 

We consider the cylindrical nanowire geometry shown in Fig. 17.1, with an incident plane wave normal to the cylinder axis and with an amplitude Eg. This is the simplest case to solve analytically and the one most often treated in experimental spectroscopic investigations of single nanowires. Possible orientations of linearly polarized incident light with respect to the wire axis are bounded by two cases. The first is the transverse magnetic (TM) polarization where the electric field is polarized parallel to the wire axis, and the second is the transverse electric (TE) polarization where the electric field is polarized perpendicularly to the wire axis. In TM polarization, the condition of continuity of the tangential electric field is expected to maximize the internal field, while in TE polarization, the dielectric mismatch should suppress the internal field. The incident plane wave may be expanded in cylindrical functions as ... 

Figure 4-a illustrates how p spin in Mu and Mu evolves in a transverse magnetic field. The frequency of Mu evolution is at the limit of the time resolution and is not observed. The Mu polarization looks as if depolarized, and this is called hf relaxation , i.e. the relaxation that occurs at the rate of the hf freqiKncy. Figure 4-b is a typical asymmetry spectrum of pS Rotation measured at 18G, where the evolutions of Mu and diamagnetic muon are observed superimposed. (Note the difference of the time scale from Fig. 4a). The fast damping of the Mu asymmetry is apparent, and is caused by the two sli tly different frequencies of Mu precessions. Thus it is customary to measure the u evolution in a much lower field ( 3G) in which such a two-frequency splitting is not significant. The precession of the diamagnetic muons is usually measured around lOOG to see more p rotations.

Schematic diagram of experimental arrangement to detect collisionally induced resonances. The symbols " L and M1" denote polarization directions of the electric field amplitudes with respect to an externally applied transverse magnetic field.

For an oriented polymer, the magnitude of the observed second moment static magnetic field H0, which can be conveniently defined by the polar and azimuthal angles A, transverse isotropy, to which the following discussion is limited, the observed second moment will depend only on the angle A, there being no preferred orientation in the plane normal to the 3 direction. The treatment follows that originally presented by McBrierty and Ward 9>. 

Fig. 5. Transverse relaxation times of carbonyl carbon as a function of rotational correlation time, rc (a), at four polarizing magnetic field strengths, and as a function of field strength, B0, against four different correlation times (b), according to Eq. (1).

Extinction calculations for obliquely incident light, also taken from Asano (1979), are shown in Fig. 11.16. The symmetry axis is parallel to the z axis and the direction of the incident beam, which makes an angle with the symmetry axis, lies in the xz plane, the plane of incidence. The incident light is polarized cither with its electric field or its magnetic field perpendicular to the plane of incidence these two polarization states are denoted by TE (transverse electric) and TM (transverse magnetic). 

TE) and transverse magnetic (TM) parts. However, Rumsey [53] detailed a secondary method of solving the same equations that effected a decomposition of the field into left-handed and right-handed circularly polarized parts. For such unique field solutions to the time-harmonic Maxwell equations (e = electric permittivity, p = magnetic permeability) ... 

---