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 a 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.
| Original language | English |
|---|---|
| Pages (from-to) | 168-173 |
| Number of pages | 6 |
| Journal | Proceedings of SPIE - The International Society for Optical Engineering |
| Volume | 4538 |
| DOIs | |
| Publication status | Published - 2002 |
| Externally published | Yes |
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Keywords
- Adaptive optics
- Atmospheric turbulence
- Correlation function
- Optimal basis
- Wavefront expansion
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering
Cite this
Expansion of random wave phase in terms of eigenfunctions of phase correlation function. / Isaev, Yusup N.; Zakharova, Elena V.
In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 4538, 2002, p. 168-173.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Expansion of random wave phase in terms of eigenfunctions of phase correlation function
AU - Isaev, Yusup N.
AU - Zakharova, Elena V.
PY - 2002
Y1 - 2002
N2 - 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 a 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.
AB - 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 a 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.
KW - Adaptive optics
KW - Atmospheric turbulence
KW - Correlation function
KW - Optimal basis
KW - Wavefront expansion
UR - http://www.scopus.com/inward/record.url?scp=0036395329&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036395329&partnerID=8YFLogxK
U2 - 10.1117/12.454403
DO - 10.1117/12.454403
M3 - Article
VL - 4538
SP - 168
EP - 173
JO - Proceedings of SPIE - The International Society for Optical Engineering
JF - Proceedings of SPIE - The International Society for Optical Engineering
SN - 0277-786X
ER -