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A three-orbital-model approach for studying spin wave excitations in thestrongly spin-orbit coupled layered perovskite iridates is presented whichprovides a unified description of magnetic excitations as well as theelectronic band structure. The calculated spin wave dispersions with realisticthree-band parameters are in excellent agreement with the RIXS data foriridates, including the strong AF zone boundary dispersion in the single-layercompound $\rm Sr_2 Ir O_4$ and the large anisotropy gap in the bilayer compound$\rm Sr_3 Ir_2 O_7$. The RIXS spin wave data is shown to provide evidence ofmixing between the J=1/2 and 3/2 sectors in both compounds.

Magnetic excitations in a three-orbital model for the strongly spin-orbit coupled iridates: Effect of mixing between the J=1/2 and 3/2 sectors