Photoionization cross sections are obtained using the relativistic Dirac Atomic Rmatrix Codes (darc) for all valence and L-shell energy ranges between 27-270eV. A total of 557 levels arising from the dominant configurations 3s 2 3p 4 , 3s3p 5 , 3p 6 , 3s 2 3p 3 [3d, 4s, 4p], 3p 5 3d, 3s 2 3p 2 3d 2 , 3s3p 4 3d, 3s3p 3 3d 2 and 2s 2 2p 5 3s 2 3p 5 have been included in the target wavefunction representation of the Ar iii ion, including up to 4p in the orbital basis. We also performed a smaller Breit-Pauli (bp) calculation containing the lowest 124 levels. Direct comparisons are made with previous theoretical and experimental work for both valence shell and L-shell photoionization. Excellent agreement was found for transitions involving the 2 P o initial state to all allowed final states for both calculations across a range of photon energies. A number of resonant states have been identified to help analyze and explain the nature of the spectra at photon energies between 250 and 270eV.