Transverse electromagnetic radiation

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. 

In ionic and partially ionic crystals optic vibrations are associated with strong electric moments and hence can interact directly with the transverse electric field of incident infrared electromagnetic radiation. In terms of the phenomenological theory of infrared dispersion, if , and D are the electric field, polarization and displacement vectors respectively, then... 

Fig. 2. An Illustration of Electromagnetic Radiation can be imagined as a self-propaj ting transverse oscillating wave of electric and magnetic fields. This diagram shows a plane linearly polarized wave propagating from left to light. The electric field is in a vertical plane (E) blue and the magnetic field in a horizontal plane (M) red...

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