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By Frederick Wooten (Auth.)
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M. Lifshitz, "Electrodynamics of Continuous Media," Pergamon Press, Oxford, 1960. Chapter 3 ABSORPTION AND DISPERSION This chapter consists mostly of a rather elementary treatment of absorp tion and dispersion. It includes some simple examples of applications to optical properties and photoemission. The classical theory of absorption and dispersion is due mainly to Lorentz and Drude. , all transitions for which the final state of an electron lies in a different band but with no change in k-vector in the reduced zone scheme.
5 Define a complex conductivity à = σ1 + ia& where σχ is the usual real conductivity σ that appears in Maxwell's equations. Maxwell's equa tions, including the properties of the medium, can now be written in terms of a complex conductivity rather than a complex dielectric function. What is the relationship of σ to έ? What is the relationship of Jind(q, ω) to E(q, co) in terms of â(q, ω)? Define a transverse "optical" conductivity σ τ . What is the relationship of στ to The only apparent similarity between Eqs. 119) is that each provides a relation ship between a total electric field and an induced current density. Before proceeding with a simplification of Eq. 119), it is worth noting that the real dielectric function ε that appears in Maxwell's equations is a longitudinal dielectric function. 120) This is the reason for the relative simplicity of Eq. 113). It is clear from Eq. 120) that the dielectric function appearing in Maxwell's equations is a longitudinal dielectric function.