Magnetic component , of electromagnetic

RS (or BS) theory is driven by the magnetic component of the electromagnetic field, not the electric (as discussed exclusively in the present chapter). 

In the process of absorption or emission of infrared radiation involving transitions between two vibrational states the interaction is usually between the molecule and the electric, rather than the magnetic, component of the electromagnetic radiation (see Section 2.1). For this... 

James Clerk Maxwell predicted the existence of electromagnetic waves in 1864 and developed the classical sine (or cosine) wave description of the perpendicular electric and magnetic components of these waves. The existence of these waves was demonstrated by Heinrich Hertz 3 years later. 

In this final section, it is shown that the three magnetic field components of electromagnetic radiation in 0(3) electrodynamics are Beltrami vector fields, illustrating the fact that conventional Maxwell-Heaviside electrodynamics are incomplete. Therefore Beltrami electrodynamics can be regarded as foundational, structuring the vacuum fields of nature, and extending the point of view of Heaviside, who reduced the original Maxwell equations to their presently accepted textbook form. In this section, transverse plane waves are shown to be solenoidal, complex lamellar, and Beltrami, and to obey the Beltrami equation, of which B is an identically nonzero solution. In the Beltrami electrodynamics, therefore, the existence of the transverse 1 = implies that of , as in 0(3) electrodynamics. 

Equations (723) and (727) therefore represent a closed, cyclically symmetric, algebra in which all three space-like components are meaningful. The cyclical commutator basis can be used to build a matrix representation of the three spacelike magnetic components of the electromagnetic wave in the vacuum... 

Non-Abelian electrodynamics has been presented in considerable detail in a nonrelativistic setting. However, all gauge fields exist in spacetime and thus exhibits Poincare transformation. In flat spacetime these transformations are global symmetries that act to transform the electric and magnetic components of a gauge field into each other. The same is the case for non-Abelian electrodynamics. Further, the electromagnetic vector potential is written according to absorption and emission operators that act on element of a Fock space of states. It is then reasonable to require that the theory be treated in a manifestly Lorentz covariant manner. 

Microwaves are electromagnetic waves (see p. 329) and there are electric and magnetic held components. Charged particles start to migrate or rotate as the electric held is applied,which leads to further polarization of polar particles. Because the concerted forces applied by the electric and magnetic components of... 

Meanwhile, let us consider a few simple examples, illustrating the spatial behavior of the migrated electromagnetic fields. The first example represents the results of migration of the magnetic component of the field generated by a local horizontal electric dipole, located at some depth, zq, in the homogeneous lower half-space of conductivity ab- The current in the dipole is described by the delta-pulse ... 

An electromagnetic wave has two components, electric E and magnetic H. The two components vary in a coordinated fashion with time, and they are orthogonal in space with respect to one another as shown in Figure 4.2. As the wave proceeds through space (and time) the electrical component E varies sinusoidally, and the magnetic component of equal amplitude H does the same, but the two sinusoidal waves are out of phase with one another by 90°, or jt/2. 

The interaction bet veen electromagnetic vaves and matter is quantified by the two complex physical quantities - the dielectric permittivity, s, and the magnetic susceptibility, fi. The electric components of electromagnetic waves can induce currents of free charges (electric conduction that can be of electronic or ionic origin). 

FIGURE 13.2 Diagrammatic illustration of a plane electromagnetic wave. E and H represent the electrical and magnetic components of the wave E and are their respective amplitndes. 

Another important ingredient for a magnetic resonance experiment is represented by the presence of the radio-frequency (rf) field. Only the magnetic component of the electromagnetic field, ie,. Bi(0=Siocos( 27tvt) interacts with the magnetic moment of the nuclei. The amplitude of the rf field is Bio and i is the carrier frequency. This field is produced by a rf coil and leads to a perturbation Hamiltonian... 

Spectroscopy is a powerful technique that finds applications in all branches of science and technology. It is the investigation of interaction of electromagnetic waves and matter. The electric field strength of the electric component, which is perpendicular to the magnetic component, of an electromagnetic wave at certain time t is given by ... 

Note that NMR, EPR and Mbssbauer spectroscopies are all magnetic phenomena, so it is the magnetic component of the electromagnetic radiation that is absorbed by matter. All other forms of spectroscopy relate... 

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