Optics

Download Electrodynamics of Solids: Optical Properties of Electrons by Martin Dressel PDF

By Martin Dressel

During this booklet 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 topic is via a dialogue of the optical houses of metals, semiconductors, and superconductors. Theoretical innovations, dimension concepts and experimental effects are coated in 3 interrelated sections. the amount is meant to be used through graduate scholars and researchers within the fields of condensed subject physics, fabrics technology, and optical engineering.

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14). This leads to the following expressions for the impedance: µ1 ˆ 4π 4π µ1 ω 4π µ1 = Zˆ S = = 2 ˆ c N c qˆ c 1/2 . 28) If σ1 = 0, the dielectric constant ˆ and thus the impedance are real; in this case the electric displacement and magnetic induction fields are equal ( Dˆ = Bˆ ) and in phase (φ = 0). The above equation is then reduced to Z S = (4π/c)(µ1 / 1 )1/2 . 19 × 10−10 s cm−1 = 377 c . 1. The presence of non-magnetic matter (µ1 = 1) in general leads to a decrease of the electric field compared with the magnetic field, implying a reduction of | Zˆ S |; for a metal, | Zˆ S | is small ˆ Depending on the context, Zˆ S is also called the characteristic because | Hˆ | | E|.

10b) . From Eq. 10b), we obtain Nˆ E 0t = E 0i − E 0r . 11) Combining this equation with Eq. 7d) on setting ψ = 0. Note, we only consider µ1 = µ1 = 1. The phase shift φr is the difference between the phases of the reflected and the incident waves. 13) with a phase change φr = arctan 2(k n − kn ) n + k 2 − n2 − k 2 2 . 14) 36 2 The interaction of radiation with matter Et Ei λ' λ Er ε1 , µ1 , σ1 ε 1' , µ 1' , σ 1' x y z Fig. 4. Incident Ei , reflected Er , and transmitted electric wave Et traveling normal to the interface between two media.

The first exponent of this equation describes the fact that the velocity of light (phase velocity) is reduced from its value in free space c to c/n. The second exponent gives the damping of the wave, E(r) ∝ exp{−αr/2} = exp{−r/δ0 }. It is the same for electric and magnetic fields because their wavevectors q are the same. The amplitudes of the fields are reduced by the factor exp{−2π k/n} per wavelength λ in the medium (Fig. 2). 0 Direction of propagation Fig. 2. Spatial dependence of the amplitude of a damped wave as described by Eq.

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