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We employ doubly-resonant two-photon excitation into the 74S Rydberg state to spectroscopically measure the dynamic scalar polarizability, alpha 0, and tensor polarizability, alpha 2, of rubidium 5P3/2. To reach the necessary high intensities, we emp loy a cavity-generated 1064 nm optical-lattice light field, allowing us to obtain intensities near 2x10^11 W/m^2. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values alpha 0 =-1149 (pm 2.5 percent) and alpha 2 = 563 (pm 4.2 percent), in atomic units. Methods and results are supported by simulations.
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