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A"],"published-print":{"date-parts":[[2026,9,1]]},"abstract":"<jats:p>Accurate propagation-distance determination is critical in ptychographic imaging because axial uncertainty degrades reconstruction fidelity and introduces defocus artifacts. We propose a joint auto-focusing ptychographic iterative engine (jPIE) that treats the sample-to-detector distance as an adjustable parameter and updates it jointly with the object and probe during iterative reconstruction. Using a residual-controlled adaptive strategy, jPIE performs distance correction within the reconstruction loop without slice-by-slice searches. 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