The influence of a fallacy in specific effective scattering surface evaluation on the result of double-frequency retrieval of rain intensity
| Linkova, АМ |
Organization: O.Ya. Usikov Institute for Radiophysics and Electronics of the NASU |
| https://doi.org/10.15407/rej2021.02.016 |
| Language: ukranian |
Abstract: Subject and Purpose. The amount of precipitation is important information for the agro-climatic justification of agro-technical and reclamation actions directly controlling crop yields. The inverse problem of rain intensity retrieval from the remote sensing data is an incorrect mathematical physical problem described by a nonlinear integral equation. The purpose of this work is to analyze how errors in the specific effective scattering surface evaluation affect the results of double-frequency retrieval of the rain intensity obtained through the inverse problem solution by the previously proposed method. Methods and Methodology. Numerical simulation by using an approach based on regularization techniques and intended for the integral scattering equation solution is carried out for double-frequency sensing in the microwave range Results. Numerical simulations of the rain intensity retrieval have been performed at the operating wavelengths 0.82 and 3.2 cm in the range 1…30 mm/h and for different values of received power errors. It has been shown that an error in the specific effective scattering surface evaluation has a greater effect on the reliability of the intensity retrieval in the shorter wavelength case. And it exerts practically no effect (not exceeding 5 %) at the longer wavelength and at the rain intensity below 15 mm/h, which, however, is true for heavier rains, too. Conclusion. The analysis of the results has shown that the error of the rain intensity retrieval remains within acceptable limits (below 20 %) provided that the error in the specific effective scattering surface evaluation does not exceed 15 % at the shorter wavelength. At the longer wavelength, it can reach 30 %. |
| Keywords: integral equation, inverse problem, rain intensity |
Manuscript submitted 21.12.2020
Radiofiz. elektron. 2021, 26(2): 16-22
Full text (PDF)
References:
| 1. Meteo. Agrometeorology (in Russian). 2021. Available from: https://meteo.ua/agro | ||||
| 2. Losev, A.P., Zhurina, L.L., 2001. Agrometeorology. Moscow: Kolos Publ. (in Russian). | ||||
| 3. Zabreiko, P.P., Koshelev, A.I., Krasnoselsky, M.A., Mikhlin, S.G., Rakovshchik, L.S., Stetsenko, V.Ya., 1968. Integral equations. Moscow: Nauka Publ. (in Russian). | ||||
| 4. Abshaev, M.T., Dadali, Yu.A., 1966. About the possibilities of microstructural studies of clouds and precipitation by radar methods. Trudy Vysokogornogo geophisicheskogo Instituta, 5, pp. 71-85 (in Russian). | ||||
| 5. Linkova, A.M., Khlopov, G.I., 2016. Use of the exhaustive search of microstructure parameters of liquid precipitation for solving the inverse problems of recovering their intensity. Naukovi praci Ukrai'ns'kogo gidrometeorologichnogo instytutu, 269, pp. 41-48 (in Russian). | ||||
| 6. Haddad, Z.S., Meagher, J.P., Durden, S.L., Smith, E.A., Im, E., 2006. Drop size ambiguities in the retrieval of precipitation profiles from dual-frequency radar measurements. J. Atmos. Sci., 63(1), pp. 204-217. DOI: https://doi.org/10.1175/JAS3589.1 | ||||
| 7. Rose, C.R., Chandrasekar, V., 2006. A GPM Dual-Frequency Retrieval Algorithm: DSD Profile-Optimization Method. J. Atmos. Oceanic Technol., 23(10), pp. 1372-1383. DOI: https://doi.org/10.1175/JTECH1921.1 | ||||
| 8. Linkova, A.M., 2017. Reconstruction of rain intensity by solving the integral scattering equation for two-frequency sounding. Radiofiz. elektron., 22(3), pp. 23-32. DOI: https://doi.org/10.15407/rej2017.03.023 | ||||
| 9. Linkova, A., Schuenemann, K., Dormidontov, A., 2020. Double Frequency Retrieval of Rain Intensity Using Solution of the Integral Equation of Scattering. In: 2020 IEEE Ukrainian Microwave Week (UkrMW). Kharkiv, Ukraine, 21-25 Sept. 2020, pp. 958-963. Kharkiv: IEEE. DOI: https://doi.org/10.1109/UkrMW49653.2020.9252620 | ||||
| 10. Westwater, E., Cohen, A., 1973. Application of Backus-Gilbert inversion technique to determination of aerosol size distribution from optical scattering measurements. Appl. Opt., 12(6), pp. 1340-1348. DOI: https://doi.org/10.1364/AO.12.001340 | ||||
| 11. Morozov, V.A., 1987. Regular methods for solving the ill-posed problems. Moscow: Nauka Publ. (in Russian). | ||||
| 12. Tikhonov, A.N, Arsenin, V.Ya., 1979. Methods for solving the ill-posed problems. 2nd ed. Moscow: Nauka Publ. (in Russian). | ||||
| 13. Stepanenko, V.D, 1973. Radiolocation in meteorology. Leningrad: Gidrometeoizdat Publ. (in Russian). | ||||
| 14. Yanovsky, F.I., 2003. Radar systems for meteorological navigation of aircraft. Kyiv: Ministry of Education and Science of Ukraine National Aviation University Publ. (in Ukrainian). | ||||
| 15. Mardiana, R., Iguchi, T., Takahashi, N., 2004. A dual-frequency rain profiling method without the use of a surface reference technique. IEEE Trans. Geosci. Remote Sens., 42(10), pp. 2214-2225. DOI: https://doi.org/10.1109/TGRS.2004.834647 | ||||
| 16. Meneghini, R., Kumagai, H., Wang, J.R., Iguchi, T., Kozu, T., 1997. Microphysical retrievals over stratiform rain using measurements from an airborne dual-wavelength radar radiometer. IEEE Trans. Geosci. Remote Sens., 35(3), pp. 487-506. DOI: https://doi.org/10.1109/36.581956 | ||||
| 17. Voitovych, O.A., Linkova, A.M., Khlopov, G.I., 2011. Double frequency profiling of rain parameters. Radiofiz. elektron., 2(16)(3), pp. 51-60 (in Russian). | ||||
| 18. Lavrentiev, M.M, Romanov, V.G, Shishatskiy, S.P, 1980. Ill-posed problems of mathematical physics and analysis. Moscow: Nauka Publ. (in Russian). | ||||
