Electromagnetic fields anisotropic media

M contains all the information about the anisotropic optical properties of the medium that supports the electromagnetic fields some of its 36 tensor components are the target of the ellipsometric measurements of anisotropic crystals. This optical matrix M is thus defined by... 

The geometry of the ellipsometric measurement is shown in Fig. 2.13. The anisotropic material medium under study has coordinate z > 0, while the isotropic ambient medium (air) has z < 0 the electromagnetic field components of interest are the tangential components Ex, Ey, Hx, and Hy the plane of incidence is the xz plane. 

An applied electric field can be the electric held component of an electromagnetic wave, in which case electronic excitations or other optical responses may ensue. These are the topic of the next chapter. Here, the concern is with electrostatics, specihcally, the dielectric, or insulative, properties of materials. In an electrical conductor, an applied electric held, E, produces an electric current - ions, in the case of an ionic conductor, or electrons, in the case of an electronic conductor. Electrical conductivity has already been examined in earlier chapters. In insulating solids, the topic of the current discussion, the response to an applied electric held is a static spatial displacement of the bound ions or electrons, resulting in an electrical polarization, P, or net dipole moment (charge separahon) per unit volume, which is a vector quantity. In a homogeneous linear and isotropic medium, the polarization and electric held are aligned. In an anisotropic medium, this need not be so. The fth component of the polarization is related to the jth component of the electric held by ... 

In this chapter we will consider the electromagnetic field of the magnetic dipole in a uniform anisotropic medium as well as in an anisotropic medium with horizontal interfaces. 

Electromagnetic Field of the Magnetic Dipole in a Uniform Anisotropic Medium... 

The first important step is to revisit the electromagnetism of an anisotropic medium, which has been briefly alluded to in Chapters 3 and 6. For optical propagation in an anisotropic medium such as a hquid crystal, the physical parameters of interest are the field vectors, the material polarization induced by these fields, and the power flow. The electromagnetic nature of fight and the optical responses of the liquid crystals (assuming source- and current-free p = 0, / = 0) are described by Maxwell s equations ... 

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