Abstract: With the development of highly accurate and compact fiber optic gyroscope, based on the special demands of compactification and integration to the transceiver module used in the fiber optic gyroscope and the characteristic of  superluminescent diode(SLD) beam, an array of asymmetrical cylindrical lens collimation optical system was proposed, which could be used to form collimating and spherical the beam. The collimation optical system was thoroughly studied. The configuration parameters (i.e. curvature, thickness) were minutely calculated using the analytical method of both the geometry and matrix optics. Furthermore, in the use of the analytical method of matrix optics the optical transmission matrixes were deduced to optimize the configuration parameters of cylindrical lens. The system was simulated in CODE Ⅴ software and the conclusion was elicited. Theoretically, the radiation angle of SLD beam can be compressed under 0.05 mrad.