Complex refractive index mesurement from reflectivity data

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SUMMARY

The discussion centers on deriving the complex refractive index of a material from reflectivity measurements at a single angle. Participants confirm the necessity of using Kramers-Kronig relations for accurate calculations. Gobil ellipsometry is highlighted as a method that directly measures the refractive index (n), extinction coefficient (k), and dielectric constants (e1, e2). Additionally, the formula R = (n-1)² + k² / (n+1)² + k² is provided for reflectivity data analysis from a photospectrometer, emphasizing the need to consider multiple reflections.

PREREQUISITES
  • Understanding of Kramers-Kronig relations
  • Familiarity with Gobil ellipsometry techniques
  • Knowledge of reflectivity measurement principles
  • Basic grasp of complex refractive index components (n and k)
NEXT STEPS
  • Research Kramers-Kronig relations in detail
  • Explore Gobil ellipsometry for direct measurement techniques
  • Study the impact of multiple reflections in reflectivity data
  • Learn about advanced reflectivity formulas and their applications
USEFUL FOR

Researchers in optics, materials scientists, and engineers involved in optical characterization and refractive index measurement will benefit from this discussion.

Gobil
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hi All,

Just wondering how you get the complex refractive index of a material from relectivity measurements at a single angle. I understand you must infer some of the data, using the Kramers Kronig relations, is this right?

Is there a direct way of calculating it? I see from an article on elipsometry that is you have the ratio of the reflction of plane and parallel polarised light

from wiki

Ps/Pp = tan(Phi)exp(ixdelta)

where delta is the phase shift, and the amplitued is tan(Phi), but here you still have one unkown. Any ideas on doing this without the kramers kronig relation?

cheers
Gobil
 
Science news on Phys.org
ellipsometry measures n, k and e1, e2 directly. however if you have reflectivity data from photospectrometer then you may use R=(n-1)^2+K^2/(n+1)^2+k^2, you will have to account for multiple reflections
 

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