Exercise 5.2.3 Attenuation of Light

Starting from
   
Ex  =    exp – w · k · x
c
  ·  exp[ i · (kx · x  –  w · t)] 
         
    Decreasing
amplitude
Plane wave
Give maximal values for k (damping constant, attenuation index, extinction coefficient) if a penetration depth of 1m, 100 m 104 m is specified for the light intensity.
Calculate what that would mean in terms of only e'' or only e''.
Discuss the results with respect to the complex index of refractions of Si and the dielectric function of GaAs as given in this link for frequencies above and below the band gap (after you located the band gap by straight thinking).
 

Link to the solution

 

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go to 5.2.3 The Complex Index of Refraction

go to Solution to Exercise 5.1-1: Derivation of Snellius Law

go to Solution to Exercise 5.2-1: Fresnel Equations and LEDs

go to Complex Index of Refraction of Silicon

go to Solution to 5.2-3: Attenuation of Light

go to Solution to Exercise 5.2-3: Rayleight Scattering

go to Solution to 5.2-4: Fresnel Equations and Polarization

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