T. Opatrny, MEAN-VALUE AND UNCERTAINTY OF OPTICAL-PHASE - A SIMPLE MECHANICAL ANALOGY, Journal of physics. A, mathematical and general, 27(21), 1994, pp. 7201-7208
There exist several definitions of the mean value and the phase uncert
ainty of an optical field. We show that one of these definitions is es
pecially simple and intuitive because of its mechanical analogy. On th
is basis, we also derive the summation rule and the Tchebyshev inequal
ity for random angular and phase variables and a number-phase uncertai
nty relation.