Measurement of small particles sizes: inverse problem of radiation scattering theory

It is often necessary to measure the size of small particles in different fields of science and technology. These particles can be solid or fluid aerosols in atmosphere, emulsion and suspension in fluid, bacteria, cells in biological objects, etc. For the particles with the sizes between 10 nm and 100 μm it is convenient to use measurement methods, which are based on measuring the characteristics of light, which is scattered by these particles. The mathematical problems, which are necessary to solve, are the inverse optics problems. That is, it is required to find object parameters by using the results of the radiation interaction with the object.