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An algorithm based on the scalar Extended Nijboer-Zernike (ENZ) theory is proposed for phase retrieval through single defocused intensity pattern.This algorithm draws on the generalized inverse matrix theory,and the Predictor-Correcto method is also used to correct the linearization errors for medium-to-large aberrations.This method does not need the multi defocused-intensity in the focal region,and it could exclude the displacement during the multi-intensity patterns capturing.Some simulation results are present that this algorithm has good convergence against noise.A confirmatory experiment is carried out.and its results verifying this method are also given.