Abstract
With the investigation of turbulence using a shadow instrument with photoelectric recording, the statistical characteristics of the signal taken off from the instrument are used to obtain information on the statistics of the investigated medium [1, 2]. In situations where the investigated medium is moving perpendicular to the instrument axis (for example, with experiments in hydro- and aerodynamic tubes), it is convenient to use the transient characteristics of the signal. In the present article an investigation is made of the connection of the transient correlation function and the frequency spectrum of a shadow-instrument signal with the energy spectrum of the optical inhomogeneities in the medium; a method is given for reconstructing the spectrum of the inhomogeneities from the correlation function or the transient spectrum of the signal.
Similar content being viewed by others
Literature cited
V. N. Stasenko, “Use of a shadow instrument for determination of the characteristics of turbulence,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1970).
S. R. Stefanov, A. M. Trokhan, and Yu. D. Chashechkin, “Investigation of the turbulent pulsations of the refractive index of water using Töpler instrument,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1971).
L. M. Soroko, Principles of Holography and Coherent Optics [in Russian], Nauka, Moscow (1971).
Yu. I. Kopilevich, “Connection between the characteristics of the signal of a shadow instrument and the spectrum of the turbulence,” Zh. Prikl. Mekh. Tekh. Fiz., No. 6 (1975).
T. L. Ho, “Coherence degradation of Gaussian beams in a turbulent atmosphere,” J. Opt. Soc. Am.,60, No. 5 (1970).
V. N. Tatarskii, “The propagation of waves in a turbulent atmosphere” [in Russian], Nauka, Moscow (1967).
G. Korn and T. Korn, Handbook on Mathematics [in Russian], Nauka, Moscow (1974).
A. S. Gurvich, N. S. Time, L. S. Turovtsev, and V. F. Turchin, “Reconstruction of the spectrum of turbulent pulsations in the atmosphere from optical measurements,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana, No. 5 (1974).
V. F. Turchin, V. P. Kozlov, and M. S. Malkevich, Using Methods of Mathematical Statistics for Solving Incorrect Problems, Usp. Fiz. Nauk, No. 3 (1970).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 73–77, January–February, 1978.
Rights and permissions
About this article
Cite this article
Kopilevich, Y.I. Reconstruction of turbulence spectrum from transient characteristics of a shadow-instrument signal. J Appl Mech Tech Phys 19, 58–62 (1978). https://doi.org/10.1007/BF00851363
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00851363