Polarization Dependence of Two-Photon Absorption in Solids

Two-photon absorption and spectroscopy

“…Кроме того, в работе 172 исследованы свойства симметрии, обусловленные-различием свойств поперечных и продольных экситонов. Εο В таблице попользованы обозначения представлений Бете (см., например, 103 ), их связь с другими обозначениями имеется в работе 102 . Большими латинскими буквами в таблице обозначены следующие выражения:…”

Symmetry adaptation techniques in n-photon absorption spectroscopy

“…We have obtained intensity formulas, for both parity-allowed and parity-forbidden n-photon transitions, which incorporate all the information arising from symmetry considerations. In the particular case n = 2, our results constitute a quantitative counterpart to the qualitative treatment in [4,5]. (By quantitative we mean that the intensity parameters are given by expressions arising from well-defined mechanisms and are calculable from first principles.)…”

“…(By quantitative we mean that the intensity parameters are given by expressions arising from well-defined mechanisms and are calculable from first principles.) The latter point shows that the tables of Bader and Gold [5] can be used for inter-configurational two-photon transitions as well as for intra-configurational two-photon transitions.…”

“…The basic corresponding theoretical models have been developed by Judd [1] and Ofelt [2] for intra-configurational onephoton transitions (see [20] for a recent review) and by Axe [3] for intra-configurational two-photon transitions. The case of two-photon transitions has been the object of further works and extensions : (i) introduction of higher-order mechanisms for intraconfigurational transitions [6,7,9,11], (ii) development of models for inter-configurational transitions [10,12,15,21], and (iii) introduction of symmetry considerations from both a qualitative [4,5] and a quantitative [13,14,18,19,21,22] viewpoint.…”

7F6(Γ1g) → (Γ1g)5D4Two-Photon Transition of Tb3+in Cs2NaTbCl6

“…The selection rules and angular dependences are substantially different from those for one-photon transitions [1][2][3][4][5], thereby providing complementary information for the further investigation of excited states and also allowing examination of the validity of conventional theories. The group-theoretical selection rules and polarization characteristics of two-photon transitions were derived by Inoue and Toyozawa [6] and Bader and Gold [7]. The twophoton absorption between same paríty 4fn states can be described by second-order perturbation theory [1].…”