In this article, the transmission characteristics of new mixed birefringent filter have been studied. The term ‘mixed’ is used because in this filter both linear and circular birefringence are utilized for shaping its transmission function. The filter has a so called ‘lossless core’, consisting of alternate rotators and retarders, and two linear polarisers at the two ends. Because of the similarity of the proposed mixed birefringent filter with the fan type Solc filter, it has been given the name ‘Mixed Solc Birefringent Filter’ (MSBF).