Average transmission probability of a random stack

Details Average transmission probability of a random stack Average transmission probability of a random stack

2009-07-31

arxiv.org/abs/0907.5557v1

European Journal of Physics 31 (2010) 47-55

Physics

Quantum Physics

10 pages, 6 figures

Scientific paper

The transmission through a stack of identical slabs that are separated by gaps with random widths is usually treated by calculating the average of the logarithm of the transmission probability. We show how to calculate the average of the transmission probability itself with the aid of a recurrence relation and derive analytical upper and lower bounds. The upper bound, when used as an approximation for the transmission probability, is unreasonably good and we conjecture that it is asymptotically exact.

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