Electrostatic Mechanism of Emission Enhancement in Hybrid Metal-semiconductor Light-emitting Heterostructures Page: 33
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The experimentally measured decay constant and the recombination lifetime can
be considered to be proportional only when recombination within the light-emitting
structure is essentially homogeneous and not subject to any electric fields in directions
lacking quantum confinement. This requirement arises from the fact that the
experimentally measured quantity, the intensity per unit time, is defined to be:
1(t) = -1 n(r, t) dr (3.8.3)
If the carrier concentration is homogenous over the area being measured, and
there are no electric fields, then n is independent of position, and the integral above
evaluates simply to A /-1 n, where A1 is the area of the region of measurement.
Therefore the decay constant Tdecay for the intensity in this situation would be given by:
-O Tdecay I
Tdecay = T
Hence the two at
0 0 (3.8.3)
Hence the two are equal.
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Llopis, Antonio. Electrostatic Mechanism of Emission Enhancement in Hybrid Metal-semiconductor Light-emitting Heterostructures, dissertation, May 2012; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc115113/m1/43/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .