Fig. 1. Schematic diagram of the hybrid cavity magnetic system assisted by an OPA

Fig. 2. Absorption μp and dispersion νp of output detection field as a function of normalized detuning δ/ωb under different magnon-phonon effective coupling strengths K

Fig. 3. The absorption spectrum μp of the output detection field as a function of normalized detuning δ/ωb under different OPA gains G

Fig. 4. Under different cavity-magnon coupling strength g_ma，the absorption spectrum μp（green solid line）and dispersion spectrum νp（magenta dotted line）of the output detection field are used as normalized detuning functions δ/ωb

Fig. 5. Under different OPA gains GK=2πMHz，the transmission rate tp2 of the detection field in the cavity magnetic system as a function of normalized detuning δ/ωb

Fig. 6. Under different OPA gains G，the group delay τ of the cavity magnetic system as a function of normalized detuning δ/ωb