A new collimation system, the heteroaxial double half-elliptical cylinder lens (HDHECL), is proposed based on the raytracing method, and the collimation performance of the HDHECL is discussed and compared with conventional lenses. The simulation results suggest that the refractive index of the HDHECL can be larger than 2, the collimation effect is improved with the increase of the refractive index in a certain range, and the divergence angle in the fast-axis direction can be compressed to less than 0.01 mrad theoretically. These results are of significance in theory and practice.In recent years, diode lasers have been widely used in practical applications, such as fiber communications, optical sensors, and optical measuring instruments. Because of the shape and waveguide properties of their active areas, laser diodes generate astigmatic beams with elliptically shaped mode profiles [1,2] . Thus, in practical applications, optical elements are required to be collimated and compensated for the laser beam with different diameters emitted from a laser diode [3][4][5][6][7][8][9][10] . Several methods have been discussed to collimate the divergence angle in the fast-axis direction. Collimation characteristics of the double half-cylindrical lens have been reported in Refs. [3,4]. In the context of the previous methodologies, it is found that the collimation performance can be improved with the structural parameter k 2 decreasing when the double half-cylindrical lens is utilized to collimate the laser diode beam. Extremely small k 2 results in extremely large r 2 and thus the output spot is enlarged, posing a challenge on the practical applications. In this paper, a new structure of cylindrical lens-HDHECL is presented, and its collimation performance is analyzed in detail. The numerical results show that the collimated beam has better properties and smaller spot size than that in Refs. [3,4] under the condition of optimal collimation.The lens configuration, consisting of 2 half-elliptical cylinders with a distance between their centers, is shown schematically in Fig.1. The optic axis of the lens is in the direction of the slow-axis. The divergence rays in the fast-axis direction are incident upon one half-elliptical cylinder, and * after twice refractions, the rays pass through another halfelliptical cylinder. Then the collimated beams are obtained.
Fig.1 Structure of HDHECLThe length of active region of the laser diode is less than 1 m in the perpendicular direction, and hence the light source in the slow-axis direction can be regarded as a line source. Because of the axial symmetry in the direction of propagation, only the upper half beams are considered. The schematic diagram of optical path of the upper half-plane of HDHECL, characterized with five parameters, a 1 , a 2 , b 1 , b 2 and d in the fast-axis direction of the laser diode, is shown in Fig.2. Thereinto, a 1 , b 1 and a 2 , b 2 are the lengths of semi-axes of the left and right half-elliptical cylinder lenses, respectively, and d denotes the distance betwee...