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By analyzing the parameters of electronic transitions, we show how bosonic Sratoms in planar optical lattices can be engineered to exhibit optical magnetismand other higher-order electromagnetic multipoles that can be harnessed forwavefront control of incident light. Resonant $\lambda\simeq 2.6\mu$m light forthe $^3D_1\rightarrow {^3}P_0$ transition mediates cooperative interactionsbetween the atoms while the atoms are trapped in a deeply subwavelength opticallattice. The atoms then exhibit collective excitation eigenmodes, e.g., with astrong cooperative magnetic response at optical frequencies, despite individualatoms having negligible coupling to the magnetic component of light. We providea detailed scheme to utilize excitations of such cooperative modes consistingof arrays of electromagnetic multipoles to form an atomic Huygens' surface,with complete $2\pi$ phase control of transmitted light and almost noreflection, allowing nearly arbitrary wavefront shaping. In the numericalexamples, this is achieved by controlling the atomic level shifts of Sr withoff-resonant ${^3P}_J\rightarrow {^3D}_1$ transitions, which results in asimultaneous excitation of arrays of electric dipoles and electric quadrupolesor magnetic dipoles. We demonstrate the wavefront engineering for a Sr array byrealizing the steering of an incident beam and generation of a baby-Skyrmiontexture in the transmitted light via a topologically nontrivial transition of aGaussian beam to a Poincar\'{e} beam, which contains all possible polarizationsin a single cross-section.

Optical magnetism and wavefront control by arrays of strontium atoms