Fig. 2: ϕ dependence of the mode amplitudes. | Nature Communications

Fig. 2: ϕ dependence of the mode amplitudes.

From: Terahertz control of linear and nonlinear Magno-phononics

Fig. 2

ad FFT spectra of MP1, MP2, M, and P as a function of THz polarization ϕ at low ETHz. The amplitudes are normalized to the maximal value for each mode (see colorbar at the bottom). The horizontal dashed line at 3.68 THz marks the frequency of M. The MP1, MP2, and M modes are measured at 30% of the maximal ETHz and the P mode is measured at 50% of the maximal ETHz. ETHz = 150 kV/cm. eh Amplitudes of MP1 (e), MP2 (f), M (g), and P (h) as a function of ϕ extracted from (ad). Solid lines are fits. MP1 is fit by the sum of Eq. (2) and Eq. (3) for a Bg mode. MP2 is fit by the sum of Eq. (2) and Eq. (3) for a Ag mode. M is fit by Eq. (3) for a Ag mode. P is fit by Eq. (2) for a Ag mode. The white and gray shadings in the polar plots indicate opposite phases. The numbers on the polar plots represent the maximal amplitudes normalized to the maximal amplitude measured at 30% of the maximal ETHz of different modes. The color bars next to the polar plots indicate the relative strengths of the nonlinear (red) and linear (blue) pathways obtained by the fitting. ip are identical to panels (ah) but acquired at 100% of the maximal ETHz. The error bars show experimental standard error. qu Schematics of the interference. q shows a typical fitting (violet) of the ϕ dependence of MP1 at highest ETHz (m), along with the linear (blue) and nonlinear (red) components of the fitting. ru shows schematics of the MP oscillations excited by the linear channel alone (L, blue curve), the nonlinear channel alone (NL, red curve), and both linear and nonlinear channels (L+NL, violet curves). The blue shaded regions highlight different phases of the oscillations. The curves are offset for clarity.

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