The slit image of a rainbow hologram is analyzed for the case of a narrow laser beam normal to the hologram. The slit image on the screen is found to be of the shape of hyperbola or circle curve. The analytical expressions for the hyperbola or circle curve shown on the screen by a narrow laser beam is derived in this paper. The results agree with the experiments. Some important parameters of a rainbow hologram - such as the angle between reference and object wave, the width and the length of the slit, and the viewing angle of the hologram - can be determined by this reconstruction method. It is helpful for holographers to get a better understanding if they are interested in some holograms made by others and they can learn more from them.
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