RETRIEVAL OF RAIN INTENSITY BY SOLUTION OF INTEGRAL EQUATION OF SCATTERING IN THE CASE OF DOUBLE FREQUENCY SENSING

Abstract

Measurement of precipitation amount is of great inte-rest for solution of many practical problems of national economy and agriculture. In this case, the inverse problem of recovering the rain intensity using radar methods is an incorrect problem of mathe-matical physics and is described by a nonlinear integral equation. An approach for solving the integral equation of the electromagnetic waves scattering by a polydisperse medium of water drops is considered by means of double frequency remote sensing in the microwave range. Numerical simulation for retrieval of rain intensity in the range of 1…30 mm/h is performed for operating wavelengths 0.82 and 3.2 cm. It is shown that the proposed approach permits to retrieve the rain intensity with an error less than 20 % for intensities > 5 mm/h and with an error up to 60 % for light rains (less than 5 mm/h).

Keywords

• double frequency sensing
• fredholm integral equation of the first kind
• radar
• rain intensity
• tikhonov regularization