What do the peaks in the reflectance spectrum of silicon samples represent?

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    Reflectance Spectrum
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SUMMARY

The peaks in the reflectance spectrum of silicon samples are primarily attributed to variations in the real and imaginary components of the refractive index, as described by the Kramers-Kronig relations. The standard Fresnel coefficients were utilized in the analysis, and while the band gap of silicon is 1.1 eV, the peaks do not solely represent this value. Instead, they may indicate different band gaps in relation to the Brillouin zone. Understanding these peaks requires a deeper exploration of the refractive index's behavior in silicon.

PREREQUISITES
  • Understanding of Fresnel coefficients in optics
  • Knowledge of band gap energy in semiconductors, specifically silicon's 1.1 eV
  • Familiarity with the Kramers-Kronig relations
  • Basic principles of reflectance spectroscopy
NEXT STEPS
  • Research the application of Kramers-Kronig relations in optical measurements
  • Study the impact of band gap variations on optical properties in semiconductors
  • Explore advanced reflectivity calculations using complex refractive indices
  • Investigate the relationship between the Brillouin zone and optical properties of materials
USEFUL FOR

Researchers in materials science, optical engineers, and anyone involved in the analysis of semiconductor properties, particularly those studying silicon reflectance spectra.

hjelmgart
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Hello,

I am currently analysing some relfectance data I obtained from measurements on several silicon samples. During the process I used the standard fresnel coefficients, and suddenly I began to wonder, what the peaks describe? The last graph at this link shows it for normal incident light, I think.

My typical approach is to relate peaks to the band gap, but then I remembered silicon has a band gap of 1,1 eV.

So what explains the peaks? I am still thinking, that it is related to the band gap. But the band gap isn't constant either? The 1,1 eV is just the lowest gap, right?

So do the peaks represent different band gaps with respect to the brillouin zone, or how is it?

Any suggestions or explanations appreciated! Or possibly a source, that explains it, as I so far had no luck at finding such.
 
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One reflectivity peak is due to a peak in the real refractive index, the other is due to a peak in the imaginary refractive index: and that the formula for calculating reflectivity applies for real- and complex-valued refractive indices.

Note too, that the real and imaginary refractive index components are linked via the Kramers-Kronig relations.

Claude.
 

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