<span style="font-size:12.0pt;line-height: 115%;font-family:"Times New Roman","serif";mso-fareast-font-family:"Times New Roman"; mso-ansi-language:EN-IN;mso-fareast-language:EN-IN;mso-bidi-language:HI" lang="EN-IN">Theoretical <i>Z-R </i>relationship for precipitating systems using Mie scattering approach</span>

Abstract

Making use of Mie scattering formulation from the classical electromagnetic theory, backscattering efficiency and radar reflectivity have been derived for a wide range of rain rates. The coefficients of <i>Z-R </i>(Z = radar reflectivity factor, <i>R </i>= rain rate, mm/h) relationships have been theoretically computed for 2.84 GHz (used in coastal Doppler radars), 13.8 GHz

(used in the space-borne precipitation radar on-board TRMM satellite) and also 35.5 GHz (to be used in the forthcoming Global Precipitation Mission Radar). The Mie scattering results were compared with those obtained in the Rayleigh approximation. In the present work, analyses have been carried out for the well known Marshall-Palmer and Log-normal

dropsize distributions. The theoretical approach described here however allows for any other dropsize distribution of precipitating system and operating radar frequency.