Review of the null-field method with discrete sources

In this paper the state of the art of the Null-Field Method with Discrete Sources (NFM-DS) will be reviewed. The NFM-DS combines the advantages of the null-field method with the advantages of the method of discrete sources to overcome stability problems of the standard null-field methods encountered in computation of scattering by very elongated particles such as long finite fibres and very flat particles such as flat discs.