Construction of the Approximate Solution to the Problems of Diffraction of Electromagnetic Waves by Small Particles with the Use of the Pattern Equation Method

Abstract

Evident approximate formulas are given for the integral characteristics of scattering. These formulas can be applied for small 3D scatterers having complex shapes. For some examples, the results of the approximate approach are compared with the exact results obtained with the help of the Pattern Equation Method. It is shown for a wide range of the problem parameters that the accuracy of computations controlled with the use of the calculated balance of the power fluxes for the incident and scattered waves (i.e., with the use of the test of fulfillment of the optical theorem) is quite sufficient for the practice.