Fried’s coherence length measurement of dynamic Kolmogorov type turbulence using autocorrelation function

A new method to find Fried’s coherence length of a dynamic Kolmogorov type turbulence in laboratory environment is reported in this paper. This method utilises autocorrelation function obtained from the quantitative characteristics of a rotating pseudo random phase plate in one of the arms of Mach-Zehnder interferometer. Theoretical formalism and experimental verification are presented.

Some Landau–Kolmogorov Type Inequalities for Differential Operators Generated by Polynomials

In this paper, we establish some Landau–Kolmogorov type inequalities for differential operators generated by polynomials in the following formfor all , where 0 < g ≤ p ≤ ∞, and the differential operator P (D) is obtained from the polynomial P (x) by substituting . Moreover, the explicit form of and are given.