This paper presents a lossless method and apparatus to transform a collimated straight line beam into a collimated spherical arc beam. This apparatus consists of two coaxial axicons, and the propagation direction of the incoming beams is parallel to the optical axis of the two axicons. At least one of the axicons has to be a converging one. The same method can also be used to transform a collimated rectangular beam into a collimated meniscus shape beam. By reversing the beam direction, a collimated spherical arc beam input can be transformed into a collimated straight line beam output, and a collimated meniscus shape beam can be converted into a collimated rectangular beam. A collimated spherical arc beam of certain radius can also be transformed into a collimated spherical arc beam of any desired radius. Numerical simulations and ray trace examples are provided.