By Martin Dressel
During this ebook the authors completely talk about the optical houses of solids, with a spotlight on electron states and their reaction to electrodynamic fields. Their assessment of the propagation of electromagnetic fields and their interplay with condensed subject is through a dialogue of the optical houses of metals, semiconductors, and superconductors. Theoretical strategies, size strategies and experimental effects are lined in 3 interrelated sections. the quantity is meant to be used by means of graduate scholars and researchers within the fields of condensed subject physics, fabrics technological know-how, and optical engineering.
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Extra info for Electrodynamics of Solids: Optical Properties of Electrons in Matter
E. reflected power) is then given by the very general expression Zˆ S − Zˆ S R= Zˆ S + Zˆ S 2 . 30) As we discuss in more detail in Chapter 9, a reflection of waves also occurs if the impedance of a guiding structure (waveguide, cable) changes; hence the previous equation holds for any impedance mismatch. The reflectivity at the interface does not depend on whether the wave travels from medium 1 to medium 2 or from medium 2 to medium 1; the reflectivity of an interface is reciprocal. The phase φr , however, changes by π .
18) of the complex wavevector qˆ into Eq. 28). The final result for the complex impedance is: 4π Zˆ S = RS + iX S = c µ1 1 1/2 + i 4πωσ1 = µ1 ˆ 4π c 1/2 . 30) The real part RS is called the surface resistance and the imaginary part X S the 1, which is certainly true in the case surface reactance. If we assume that | 1 | of metals at low temperatures and low frequencies but may also be fulfilled for dielectrics, we obtain from Eq. 32a) σ12 + σ22 1/2 σ12 + σ22 1/2 + σ2 σ12 + σ22 1/2 . 32b) For highly conducting materials at low frequencies, 2 | 1 | or σ1 |σ2 |, we find RS = −X S ; meaning that the surface resistance and (the absolute value of) the reactance are equal in the case of a metal.
29). In the case of metals at low frequencies, 1 < 0 and σ2 is positive. 12 The negative sign of X is a result of the definition of the surface impedance as Zˆ = R + iX and thus S S S S purely conventional; it is often neglected or suppressed in the literature. 4 Changes of electromagnetic radiation at the interface Next we address the question of how the propagation of electromagnetic radiation changes at the boundary between free space and a medium, or in general at the interface of two materials with different optical constants Nˆ and Nˆ .
Electrodynamics of Solids: Optical Properties of Electrons in Matter by Martin Dressel