Exceptional points (EPs) are singularities in non-Hermitian systems, where the system transmission spectrum varies significantly at the phase transition point. Here, we propose a practical scheme to study the changes of the optomechanically induced transparency (OMIT) spectrum on the exceptional surface (ES), which is formed by designing the structure of the waveguide in a non-Hermitian cavity optomechanical system. By comparing the transmission spectra of the system at different normal points, EPs on the same or different ESs, and exceptional derived points, we find that the peak-valley conversion of the system transmission spectra is obtained at the phase transition point and the arbitrary manipulation of the system transmission spectrum can be realized by moving the system on the same or different ESs. Furthermore, the phenomena of conversion and enhancement of the fast-slow light in the system transmission spectra have also been discovered in our researches. Different from the isolated EP, our proposal can discuss the system properties at different EPs, can find a richer transmission spectrum, and can provide more convenient options for experimental implementation, which paves the way for studying the nature of non-Hermitian systems in a higher dimension.
