Calculating Penetration Depth for TIR of Evanescent Waves at Glass-Air Interface

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SUMMARY

The discussion focuses on calculating the penetration depth of an evanescent wave at the glass-air interface, specifically when total internal reflection (TIR) occurs. The refractive index of glass is given as 1.5, and the wavelength of the incident light is 5000 angstroms at an angle of 60 degrees. It is established that the critical angle for TIR is less than 60 degrees, confirming that TIR occurs. The amplitude of the evanescent wave is reduced to 1/e of its original value, which is crucial for determining the penetration depth.

PREREQUISITES
  • Understanding of total internal reflection (TIR)
  • Knowledge of refractive indices, specifically for glass and air
  • Familiarity with wave amplitude and its mathematical representation
  • Basic skills in trigonometry and geometry for angle calculations
NEXT STEPS
  • Research the mathematical derivation of penetration depth for evanescent waves
  • Learn about the critical angle and its implications in optics
  • Explore the properties of evanescent waves in different media
  • Study the relationship between wavelength and penetration depth in optical physics
USEFUL FOR

Students and professionals in physics, particularly those studying optics, wave phenomena, and anyone involved in experiments or applications related to total internal reflection and evanescent waves.

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Homework Statement

: Calculate the penetration depth of an evanescent wave undergoing TIR from glass (n = 1.5) to air interface, such that the amplitute is reduced to 1/e times its original value. Wavelength of the incident light is 5000 angstroms and 60 degrees. First make sure that incident angle of 60 degrees produces TIR - the critical angle is less than 60 degrees.[/B]

Homework Equations

The Attempt at a Solution



I proved that the critical angle is less than 60 degrees. How does that relate to penetration depth and the amplitute of the evenescent wave?[/B]
 
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Try writing down a few of the equations. Drawing a picture can help also.
 

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