Kramers–Kronig relation in a Doppler-broadened Λ-type three-level system*
Wang Menga),b), Lu Xiao-Ganga), Bai Jin-Haia), Pei Li-Yac), Miao Xing-Xua), Gao Yan-Leia),b), Wu Ling-Ana), Fu Pan-Minga), Yang Shi-Pingb), Pang Zhao-Guangb), Wang Ru-Quana), Zuo Zhan-Chuna)
       
(a)–(c) Imaginary and (a′)–(c′) real parts of χ ( Δ 1/ Γ 10) as a function of Δ 1/ Γ 10 for Δ 2/ Γ 10 = 0 [(a) and (a′)], 30 [(b) and (b′)], and 50 [(c) and (c′)] with Γ 10/ ku = 0.05, Γ 20/ Γ 10 = 0.1, and G 2/ Γ 10 = 1. In panel (a), the minimum of χ ″ is normalized to −1, while in panels (b) and (c), the maximum of χ ″ is normalized to 1.