关键词: ytterbium isotope, hyperfine structure, selective photoionization

Abstract: Selective photoionization of ytterbium isotope is studied numerically based on a three-step photoionization scheme, 4${\rm f}^{14}$6${\rm s}^{2 1}$S$_{0 }$ (0 cm$^{-1}$) $ \to $ 4${\rm f}^{14}$6${\rm s}$6p$\ {}^{3}$P$_{1 }$ (17992.008 cm$^{-1}$) $ \to $ (4${\rm f}^{13}$6${\rm s}^{2}$6p) (7/2, 3/2)$_{2}$ (35196.98 cm$^{-1}$) $ \to $ auto-ionization state (52353 cm$^{-1}$) $ \to $ Yb$^{+}$, by the density matrix theory with the consideration of atomic hyperfine structures and magnetic sublevels. To examine the physical model, the numerical isotopic abundance of ytterbium is compared with that from mass spectroscopy experiment, showing that they are in good agreement with each other. The excitation process and ionization process of ytterbium, especially for odd isotopes, are discussed and analyzed in detail on this basis. The effects of frequency detuning, power densities, spectral bandwidths, polarization of two excitation lasers, and atomic Doppler broadening on the total ionization yield and isotopic abundance are investigated numerically and the optimal excitation conditions for $^{176}$Yb enrichment are identified semi-quantitatively.

Key words: ytterbium isotope, hyperfine structure, selective photoionization