Fig. 1. Schematic of microwave coupled four level atomic system and the schematic sketch of the spatial configuration of laser fields

Fig. 2. Fraunhofer diffraction intensity as a function of $\mathrm{s}\mathrm{i}\mathrm{n}{\theta }_x$ and $\mathrm{s}\mathrm{i}\mathrm{n}{\theta }_y$（${\Delta }_{\mathrm{p}}=\mathrm{7}{\gamma }_{\mathrm{1}}$，$\Omega =\mathrm{8}{\gamma }_{\mathrm{1}}$，$L=\mathrm{8}\zeta$，${\gamma }_{\mathrm{21}}={\gamma }_{\mathrm{31}}=\mathrm{0.004}{\gamma }_{\mathrm{1}}$，${\gamma }_{\mathrm{41}}=\mathrm{1}$，${\Delta }_{\mathrm{c}}=\mathrm{7}{\gamma }_{\mathrm{1}}$，${\Delta }_{\mathrm{m}}=\mathrm{9.8}{\gamma }_{\mathrm{1}}$，$M=N=\mathrm{5}$，${\Lambda }_x={\Lambda }_y=\mathrm{4}{\lambda }_{\mathrm{p}}$）

Fig. 3. The refractive part$\mathrm{R}\mathrm{e}\left({\overline{\rho }}_{\mathrm{41}}^{(\mathrm{1})}\right)$and absorptive part$\mathrm{I}\mathrm{m}\left({\overline{\rho }}_{\mathrm{41}}^{(\mathrm{1})}\right)$of the probe field polarizability versus detuning ${\Delta }_{\mathrm{p}}$（parameters are the same as in Fig. 2（b））

Fig. 4. Modulation diagrams of the transmission function of the probe field（parameters are the same as in Fig. 2（b））

Fig. 5. Fraunhofer diffraction intensity as a function of $\mathrm{s}\mathrm{i}\mathrm{n}{\theta }_x$ and $\mathrm{s}\mathrm{i}\mathrm{n}{\theta }_y$（parameters are the same as in Fig. 2（b））

Fig. 6. Fraunhofer diffraction intensity as a function of $\mathrm{s}\mathrm{i}\mathrm{n}{\theta }_x$ and $\mathrm{s}\mathrm{i}\mathrm{n}{\theta }_y$

Fig. 7. Effect of interaction length L on diffraction efficiency（parameters are the same as in Fig.6（b））