In the development of the technology of halftone imaging there has been significant interest in physically modeling the halftone microstructure. An important aspect of the microstructure is the scattering of light within the paper upon which the halftone image is printed. And the scattering of light within paper is the key factors which affect the color reproduction. A new spectral reflection prediction model was proposed in this paper that modified the classical Williams-Clapper model using markov chains, By considering the fact that the incident light entered into a given medium surface and exited from another medium, such as entered from colorant patch and exited from paper sheet. And the complex multiple reflection-transmission process occurring between different layers was described by Markov chain. Considering the transverse scatting influence of light propagated in the paper sheet, we introduced experience probability theory, then we calculated four fundamental transfer matrixes under different situation; finally, a new spectral reflectance model of halftone images based on the optical dot gain was established.