The light curved in the CM field

Abstract

In this paper we introduce the CM field in Sections 2 and 3 based on the paper by Wang and Peng (1985), and calculate the light curved in the CM field in Section 4. The result shows thatP makes Δφ_CM larger than Δφ_C at$\theta \in (\cos ^{ - 1} \tfrac{1}{3},\pi - \cos ^{ - 1} \tfrac{1}{3})$, and smaller at$\theta \in (\theta ,\cos ^{ - 1} \tfrac{1}{3}) \cup (\pi - \cos ^{ - 3} \tfrac{1}{3},\pi )$. Under a special circumstance which source, CM lens, and observer are in the same line, if we get Δφ| ₀₌₀ ,$\Delta \phi |_{\theta = \cos ^{ - 1} } 1/3$ and Δφ| _θ=π/2 , we can determine theP(M) andQ(M) of the CM lens,M is the mass of the CM lens.