Abstract. The problem of reliability of aerosol parameters determination by lidar sensing methods is considered. Linearized algorithms for processing signals from lidar sounding of a weakly turbid atmosphere are presented. To improve the accuracy of the results, it is proposed to use the least squares method with a predetermined background illumination value. Along with the microstructural characteristics of aerosol particles, an approximate value of the attenuation coefficient is determined from the experimental trace-meter measurements data. Using results of background illumination calculation, an expression is obtained for magnitude of the attenuation coefficient deviation from its approximate value. The accuracy of determining the attenuation coefficient when solving a system of two equations is shown to be higher than when solving a system of three equations, but it is insufficient in the case of single sensing pulse. To improve the accuracy, a large number of echo signals along the sounding path are analyzed. The presented results relate to typical parameters of the aerosol of a slightly turbid atmosphere and typical characteristics of sounding lidars.

Keywords: homogeneous atmosphere, attenuation coefficient, backscattering coefficient, lidar equation, background illumination

References:

1. Egorov A.D., Kostsov V.V., Kalinichev D.V., Kuklin O.A., Potapova I.A., Khlyabich P.P. Sovremennyye problemy gidrometeorologii i ustoychivogo razvitiya Rossiyskoy Federatsii (Modern Problems of Hydrometeorology and Sustainable Development of the Russian Federation), All-Russian Scientific and Practical Conference, Collection of abstracts, 2019, рр. 86–87. (in Russ.)
2. Dyachenko N.V., Bobrovsky A.P., Nikitenko A.A., Kostsov V.V., Mikhteeva E.Yu., Potapova I.A., Skoblikova A.L., Khlyabich P.P., Yakovleva T.Yu. Informatsionnyye tekhnologii i sistemy: upravleniye, ekonomika, transport, pravo, 2019, no. 1(33), pp. 140–142. (in Russ.)
3. Dyachenko N.V., Bobrovsky A.P., Kryukovskikh E.P., Kostsov V.V., Mikhteeva E.Yu., Potapova I.A., Skoblikova A.L., Khlyabich P.P., Yakovleva T.Yu. Informatsionnyye tekhnologii i sistemy: upravleniye, ekonomika, transport, pravo, 2019, no. 1(33), pp. 143–146. (in Russ.)
4. Bobrovsky A.P., Dyachenko N.V., Kostsov V.V., Kuklin O.A., Mikhteeva E.Yu., Potapova I.A., Skoblikova A.L., Khlyabich P.P., Yakovleva T.Yu. Informatsionnyye tekhnologii i sistemy: upravleniye, ekonomika, transport, pravo, 2019, no. 1(33), pp. 76–79. (in Russ.)
5. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A., Drabenko V.A. Natural and Technical Sciences, 2012, no. 4(60), pp. 21–25. (in Russ.)
6. Egorov A.D., Ivlev L.S., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A., Drabenko D.V. Estestvennyye i antropogennyye aerozoli (Natural and anthropogenic aerosols), Collection of reports, 2018, рр. 47–52. (in Russ.)
7. Egorov A.D., Potapova I.A. Estestvennyye i antropogennyye aerozoli (Natural and anthropogenic aerosols), Collection of reports, 2018, рр. 53–59.
8. Patent RU 2560142 C1, Sposob aspiratsionnoy opticheskoy spektrometrii dispersnoy sredy (Method for Aspiration Optical Spectrometry of a Dispersed Medium), Egorov A.D., Potapova I.A., Drabenko V.A., Patent application no. 2014115935/28, Priority 21.04.2014, Published 20.08.2015. (in Russ.)
9. Patent RU2547474 C1, Sposob distantsionnogo zondirovaniya neodnorodnoy atmosfery (Method for Remote Sensing of an Inhomogeneous Atmosphere), Egorov A.D., Potapova I.A., Drabenko V.A., Patent application no. 2013147355/28, Priority 23.10.2013, Published 10.04.2015. (in Russ.)
10. Patent RU2538028 C1, Sposob mnogopozitsionnogo opredeleniya opticheskikh kharakteristik atmosfery (Method for Multi-Position Determination of the Optical Characteristics of the Atmosphere), Egorov A.D., Potapova I.A., Sanotskaya N.A., Drabenko V.A., Patent application no. 2013126894/28, Priority 11.06.2013, Published 10.01.2015. (in Russ.)
11. Patent RU 2624834, Sposob distantsionnogo opticheskogo zondirovaniya neodnorodnoy atmosfery (Method for Remote Optical Sensing of an Inhomogeneous Atmosphere), Egorov A.D., Dikinis A.V., Potapova I.A., Patent application no. 2015156982, Priority 29.12.2015, Published 07.07.2017. (in Russ.)
12. Egorov A.D., Potapova I.A. Trudy Glavnoy geofizicheskoy observatorii im. A.I. Voyeykova, 2003, no. 552, pp. 14–18. (in Russ.)
13. Patent RU 2607050 C1, Sposob opredeleniya dispersnogo sostava aerozolya (Method for Determining the Dispersed Composition of Aerosol), Egorov A.D., Abramov V.M., Potapova I.A., Sanotskaya N.A., Patent application no. 2015132868, Priority 06.08.2015, Published 10.01.2017. (in Russ.)
14. Egorov A.D., Drabenko V.A., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A. Estestvennyye i antropogennyye aerozoli (Natural and Anthropogenic Aerosols), Collection of reports, 2014, рр. 25–26. (in Russ.)
15. Patent RU 2473931 C1, Sposob opticheskogo zondirovaniya neodnorodnoy atmosfery (Method for Optical Sensing of an Inhomogeneous Atmosphere), Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A., Patent application no. 2011129732/28, Priority 18.07.2011, Published 27.01.2013. (in Russ.).
16. Patent RU 2495452 C2, Sposob distantsionnogo opticheskogo zondirovaniya slabo rasseivayushchey atmosfery (Method for Remote Optical Sensing of a Weakly Scattering Atmosphere), Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A., Patent application no. 2011143951/28, Priority 31.10.2011, Published 10.10.2013. (in Russ.)
17. Patent RU 2441261 C1, Sposob opticheskogo zondirovaniya atmosfery (Method for Optical Sensing of the Atmosphere), Egorov A.D., Blakitnaya P.A., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A. Patent application no. 2010143286/28, Priority 22.10.2010, Published 27.01.2012. (in Russ.)
18. Patent RU 2439626 C2, Sposob opredeleniya prozrachnosti atmosfery (Method for Determining the Transparency of the Atmosphere), Egorov A.D., Potapova I.A., Patent application no. 2009144060/28, Priority 27.11.2009, Published 10.01.2012. (in Russ.)
19. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Drabenko V.A. Meteorologicheskiy vestnik, 2013, no. 2(5), pp. 42–51. (in Russ.)
20. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Oshurkova A.A. Uchenyye zapiski Rossiyskogo gosudarstvennogo gidrometeorologicheskogo universiteta, 2011, no. 18, pp. 48–56. (in Russ.)
21. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Drabenko V.A., Oshurkova A.A. Uchenyye zapiski Rossiyskogo gosudarstvennogo gidrometeorologicheskogo universiteta, 2010, no. 16, pp. 87–93. (in Russ.)
22. Egorov A.D., Rzhonsnitskaya Yu.B., Potapova I.A., Sanotskaya N.A. Natural and Technical Sciences, 2010, no. 1(45), pp. 215–222. (in Russ.)
23. Egorov A.D., Potapova I.A. Trudy Glavnoy geofizicheskoy observatorii im. A.I. Voyeykova, 2004, no. 553, pp. 131–142. (in Russ.)
24. Patent RU 2017139 C1, Sposob opredeleniya kontsentratsiy gazovykh komponentov sloya atmosfery (Method for Determining the Concentration of Gaseous Components of the Atmospheric Layer), Egorov A.D., Egorova I.A., Patent application no. 4918909/25, Priority 27.03.1991, Published 30.07.1994. (in Russ.)
25. 25. Yegorov A.D., Kopp I.Z., Perelman A.Y. Progress in Biomedical Optics and Imaging – Proc. SPIE "Lidar and Atmospheric Sensing", 1995, vol. 2505, рр. 38–43.
26. Yegorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Drabenko V.A., Sanotskaya N.A., Shchadin A.V. International Journal of Remote Sensing, 2014, vol. 35, рр. 5750–5765.
27. Yegorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B. International Journal of Remote Sensing, 2008, vol. 29, рр. 2449–2468.
28. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A., Drabenko V.A., Oshurkova A.A. Uchenyye zapiski Rossiyskogo gosudarstvennogo gidrometeorologicheskogo universiteta, 2011, no. 22, pp. 123–127. (in Russ.)
29. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B. Journal of Optical Technology, 2007, no. 10(74), pp. 665–668.
30. Potapova I.A. Uchenyye zapiski Rossiyskogo gosudarstvennogo gidrometeorologicheskogo universiteta, 2009, no. 9, pp. 86–91. (in Russ.)
31. Egorov A.D., Potapova I.A., Privalov D.V. Trudy Glavnoy geofizicheskoy observatorii im. A.I. Voyeykova, 2006, no. 555, pp. 30–34. (in Russ.)
32. Egorov A.D., Potapova I.A., Privalov D.V., Rzhonsnitskaya Yu.B. Sistematicheskiye i sluchaynyye pogreshnosti obrashcheniya lidarnykh signalov maloy moshchnosti (Systematic and Random Errors in the Inversion of Low-Power Lidar Signals), Deposited manuscript no. 1230-gm2005, 16.12.2005. (in Russ.)
33. Yegorov A.D., Potapova I.A. Proceedings, 31st International Symposium on Remote Sensing of Environment, ISRSE 2005: Global Monitoring for Sustainability and Security. 2005.
34. Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B. Uchenyye zapiski Rossiyskogo gosudarstvennogo gidrometeorologicheskogo universiteta, 2011, no. 17, pp. 51–55. (in Russ.)
35.  Egorov A.D., Potapova I.A., Rzhonsnitskaya Yu.B., Sanotskaya N.A. Journal of Optical Technology, 2013, no. 3(80), pp. 171–173.