In this paper we propose a simplified mitochondrion model as a system of finite periodic multilayers. Using electromagnetic theory based on the method of transfer matrix, analytically obtain the relations that determine the reflectance and transmittance versus characteristic parameters of the system under consideration. Numerically we obtain reflectance curves (R) and transmittance (T) depending on the wavelength of incident electromagnetic field. We also determine the dependence of R and T spectra to the number of bilayers N and angle 0 incident. It shows a shift of the gap at short wavelengths as shown 0 increases, the results agree with those reported in literature.