Expansion of random wave phase in terms of eigenfunctions of phase correlation function

Yusup N. Isaev; Elena V. Zakharova

doi:10.1117/12.454403

29 January 2002 Expansion of random wave phase in terms of eigenfunctions of phase correlation function

Yusup N. Isaev, Elena V. Zakharova

Proceedings Volume 4538, Optics in Atmospheric Propagation and Adaptive Systems IV; (2002) https://doi.org/10.1117/12.454403
Event: International Symposium on Remote Sensing, 2001, Toulouse, France

Abstract

In numerical experiment the authors investigate a representation of the phase of random optical wave through the Karhunen-Loeve-Obukhov (KLO) functions obtained with the use of phase correlation function calculated from experimental data. For such KLO basis the averaged relative error of phase expansion is 5% for 10 basis functions in the expansion series, whereas for the KLO basis calculated with the Kolmogorov structure function of phase the error of phase expansion 5% has been obtained for 78 basis functions. When propagation medium is close to Kolmogorov model it is possible to use this KLO basis obtained for a single section of distorted phase distribution for representation of whole phase distribution.

Citation Download Citation

Yusup N. Isaev and Elena V. Zakharova "Expansion of random wave phase in terms of eigenfunctions of phase correlation function", Proc. SPIE 4538, Optics in Atmospheric Propagation and Adaptive Systems IV, (29 January 2002); https://doi.org/10.1117/12.454403

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