OPTIKA ATMOSFERY I OKEANA JOURNAL
V.E. ZUEV INSTITUTE OF ATMOSPHERIC OPTICS
Vol. 15, issue 11, article # 4
pdf Tartakovsky V. A., Sennikov V. A. Conditions for the appearance and density of real-plane zeros in a fluctuating wave. // Atmospheric and oceanic optics. 2002. V. 15. No. 11. P. 878-882.Copy the reference to clipboard
Abstract:
It is established that a scalar quasi-monochromatic wave vanishes in the observation plane as a linear function of two variables, if the probability density of the logarithmic derivative of the wave amplitude decreases at infinity as x-3. The coefficient with the negative third index of the Laurent series for this probability density determines the number of real-plane zeros. The general results obtained can be reduced to well-known particular cases.