Based on the 360°computing method of refractive angle for parallel beam diffraction enhanced imaging computed tomography(DE-CT)technique,a new algorithm used to calculate the refractive angle for fan-beam DE-CT technique is developed.The refractive index gradient can be obtained by using the new algorithm with projection data of an object in the range of 0-360°.and the new algorithm only needs to set the analyser at half slope position of the rocking curve.