In recent years, dielectric rod based metasurface lenses have been particularly investigated for their potential applications in replacing the traditional bulky lens with high efficiency. However, the isolated granular structure may lead to robustness and chromatic aberration concerns. In this work, a low refractive-index embedding medium was applied to solve the structural stability problem that also enables the device to be transferable to desired position or surface. Based on this, a compound metasurface lens composed of randomly interleaved frequency-selective zone sectors is proposed to broaden the bandwidth of the two-dimensional device. The validities of the proposed method and the application potentials for the multifunctional lens that can manipulate RGB three colors have been numerically examined and verified. The current results are of essence in guiding the future design of metasurface lenses for real practice.Metasurface as initially introduced to generalize the Snell's law, which is actually a special case of the grating equation, has attracted great research interests in the field of metamaterials. It enables the manipulation of electromagnetic wave propagation with a gradient geometrical phase profile [1][2][3][4][5][6] . The two-dimensional artificial structure composed of arrays of subwavelength scatters could produce anomalous reflection and refraction phenomena 7,8 , which is practically more promising in realization compared with the three-dimensional ones. the metasurface lens is mostly investigated with the expectation to replace the traditional bulky lens by a piece of structured surface layer, which may hopefully bring about significant advancements for modern optical systems [26][27][28][29][30][31][32] . Compared with the existing thin film based Fresnel's lens that is mainly to yield a required phase profile, the metasurface lens can deal with both transmission magnitude and phase and even polarization in subwavelength scale resolutions. The increased freedoms