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We present the characterization of intensity distributions and the beam wavefront along the caustic of an iodine photodissociation laser beam at the Prague Asterix Laser System. Its $700\;\mathrm{J},300\;\mathrm{ps}$ laser pulse was attenuated by neutral-density optical filters and focused by an $f/2.2$ aspherical lens. In multiple planes at and around the focus position ($\pm 7\times \mathrm{Rayleigh}\kern0.17em \mathrm{length}$), we measured fluence distributions by far-field imaging with a nonlinearity-corrected camera. We used these measurements to retrieve the beam wavefront by a phase retrieval algorithm with dynamic input–output mixing. We then propagated the beam to the focus position and to the lens position. The calculated peak intensity at the focus position was $7.9\times {10}^{18}\;\mathrm{W}/{\mathrm{cm}}^2$, and $300\;\mathrm{J}$ (43% of the pulse energy) was contained within the intensity region above the relativistic intensity threshold of $0.8\times {10}^{18}\;\mathrm{W}/{\mathrm{cm}}^2@1315.2\;\mathrm{nm}$.
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