随机堆栈的平均传输概率
Average transmission probability of a random stack
摘要:
通常通过计算传输概率的对数的平均值来处理通过由具有随机宽度的间隙分开的相同板的堆叠的传输。我们展示了如何计算平均的传输概率本身的援助的递归关系,并推导出分析的上限和下限。的上限,当用作近似的传输概率,是不合理的好,我们猜想,它是渐近精确的。
英文摘要:
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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