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METR 415/715. Wednesday February 6 2013. Imaginary part of index of refraction. When n i is non-zero, absorption of an EM wave occurs as it passes through a medium. n i is sometimes referred to as the absorption index n i depends on the wavelength

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metr 415 715

METR 415/715

Wednesday February 6 2013

imaginary part of index of refraction
Imaginary part of index of refraction
  • When ni is non-zero, absorption of an EM wave occurs as it passes through a medium.
  • ni is sometimes referred to as the absorption index
  • nidepends on the wavelength
  • Figure 4.1 (page 77) shows values of nifor water and ice – small for visible and higher for UV and IR
intensity as a function of travel through a medium
Intensity as a function of travel through a medium
  • Eq 4.2, p.77
  • Βa= absorption coefficient
transmittance t
Transmittance t
  • The fraction of radiation intensity that survives the trip over the distance x.
  • The fraction that was NOT transmitted must have been absorbed and thereofre converted to another form of energy such as heat
beer s law
Beer’s Law
  • The intensity of a beam of monochromatic radiation falls off exponentially as it traverses a uniform medium
  • The rate at which it falls off is proportional to βa
penetration depth
Penetration Depth
  • Defined as the value of x for which

t(x) = e-1 or approximately 37%

• Check Figure 4.2 on page 79 for water and ice

• How does that influence color of pools water? Light penetration into the ocean?