Calculation of Diffraction Patterns on inside Cylindrical Surface

In this paper, we propose a calculation method of diffraction patterns on inside cylindrical surface. The proposed method applies the Huygens-Fresnel principle and derives the diffraction distributions on the inside observation surface, which are propagated from point light sources on the outside concentric object surface. Although the calculation of diffraction patterns on the outside observation surface has been reported in the literature, that on the inside cylindrical surface is much different, and it has not been reported in the best of our knowledge. The simulation results of Youngs fringe, as the simplest example of our method, and the diffraction patterns on cylindrical observation with cylindrical image demonstrated the validity of the proposed method. Our method is extremely useful in creating cylindrical computer-generated holograms.