Russian Federation
Russian Federation
UDC 52-466
A formula for the function of spatial coherence of a spherical wave propagating in a turbulent atmosphere, obtained on the basis of the wave equation, and calculations illustrating variations of the scale of coherence of a spherical wave depending on the ratio of the path length to the wavelength are presented.
spherical wave, coherence, turbulent atmosphere, wave equation
1. Rytov S.M., Kravcov Yu.A., Tatarskiy V.I. Vvedenie v statisticheskuyu radiofiziku. Ch.2. Sluchaynye polya. M.: Nauka, 1978, 463 s.
2. Klyackin V.I. Statisticheskoe opisanie dinamicheskih sistem s fluktuiruyuschimi parametrami. Sovremennye problemy fiziki. M.: Nauka, 1975, 239 s.
3. Gochelashvili K.S., Shishov V.I. Volny v sluchayno-neodnorodnyh sredah // Itogi nauki i tehniki. Radiofizika. Fizicheskie osnovy elektroniki. Akustika. T.1. M.: VINITI. 1981. 144 s.
4. Gurvich A.S., Kon A.I., Mironov V.L., Hmelevcov S.S. Lazernoe izluchenie v turbulentnoy atmosfere. M.: Nauka, 1976, 280 s.
5. Zuev V.E., Banah V.A., Pokasov V.V. Optika turbulentnoy atmosfery. Leningrad: Gidrometeoizdat, 1988, 270 s.
6. Tatarskii V.I., Zavorotnyi V.V. On The Connection Between The Extended Huygens-Fresnel Principle And The Path-Integral Approximate Computation Based On Orthogonal Expansions // Proc. SPIE. 1986. V. 642. P. 276-281. DOI:https://doi.org/10.1117/12.975509.
7. Charnotskii M.I., Gozani J., Tatarskii V.I., Zavorotnyi V.U. Wave propagation theories in random media based on the path-integral approach // Progress in Optics. Elsevier, 1993. V. 32. P. 203–266.
8. Samelsohn G., Mazar R. Path-integral analysis of scalar wave propagation in multiple-scattering random media // The American Physical Society. Physical Review E. 1996. V.54. No.5. P.5697-5706.
9. Banah V.A., Zaloznaya E.D., Zaloznaya I.V., Falic A.V. Funkciya prostranstvennoy kogerentnosti sfericheskoy volny v turbulentnoy atmosfere. Raschet na osnove volnovogo uravneniya // Optika atmosfery i okeana. 2025. T. 38. № 10. S. 788–793. DOI:https://doi.org/10.15372/AOO20251002.
10. Tatarskiy V.I. Rasprostranenie voln v turbulentnoy atmosfere. M.: Nauka, 1967, 548 s.
11. Feyzulin Z.I., Kravcov Yu.A. K voprosu o rasshirenii lazernogo puchka v turbulentnoy srede // Izv. vuzov. Radiofizika. 1967. T. 10. № 1. S. 68–73.
12. Banakh V.A., Mironov V.L. Phase approximation of the Huygens–Kirchhoff method in problems of space-limited optical beam propagation in a turbulent atmosphere // Opt. Let. 1979. V. 04. N 08. P. 259-261.
