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Bragg scattering of polaritons by a coherent acoustic wave is mediated andstrongly enhanced by the relevant exciton states resonant with the acoustic andoptic fields simultaneously. In this case, in sharp contrast with conventionalacousto-optics, the resonantly enhanced Bragg spectra reveal the multipleorders of diffracted light, i.e., a Brillouin band structure of parametricallydriven polaritons can be directly visualized. We analyze the above scheme forpolaritons in (GaAs) semiconductor microcavities driven by a surface acousticwave (SAW) and show that for realistic values of the SAW, $\nu_{\rm SAW} = 1$GHz and $I_{\rm ac} \lesssim 100$ W/cm$^2$, the main acoustically-induced bandgap in the polariton spectrum can be as large as $\Delta^{\rm MC}_{\rm ac}\simeq 0.6$ meV, and the Bragg replicas up to $n=3$ can be observed.Comment: 5 pages, 3 figure

Bragg Diffraction of Microcavity Polaritons by a Surface Acoustic Wave