Can a Thin Film Be Fabricated to Reflect or Transmit No Light?

sweetvirgogirl
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The equations for R and T in the E > U0 barrier are essentially the same as for light passing through a transparent film. It is possible to fabricate a thin film that reflects no light? Is it possible to fabricate one that transmits no light?
Why or why not?
 
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Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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