Analysis of spectral line intensities of TR3+ ions in crystal systems

Abstract

On the base of results from the analysis of known the Judd-Ofelt expression for the line intensities of TR3+ ion spectra, some simple and quite reliable determination methods are given for the luminescent branching ratio connected with the radiative 4Fs/2 + 4 1~ transition and the redistribution of the intensities between the bands in the absorption spectra 41gj2 + 14f3 [ S , L], J } of Nda+ ions in cubic crystals. I n these methods intensity parameters Q4/Q, = X are used as the working parameter. This parameter can serve as the convenient characteristics of the "spectrowopic quality" for laser media. Dependences are obtained among the inter-manifold luminescence branching ratios p i z ( X ) . The methods proposed are illustrated by the results of the measurements of about twenty crystals doped with Nd3+ ions. Ha OCHOBe pe3yJIbTaTOB aHaJIH3a H3BeCTIIOrO BbIpaXeHHH fimaD,Aa-O@JIbTa DJIH HHTeHCHBHOCTea JIHHHa B CIIeICTpaX TR3+ MOHOB IIpeJ&lIO?KeHhI IIpOCTbIe H AOCTaTOqHO HaAemHbIe MeTODbI OIIpeAeJIeHHR Ho3#@MUHeHTOB BeTUJleHHH JI€OMH-HeCUeHUHH, CBR3aHHbIX C H3JIYWiTeJIbHbIMH IIepeX0,AaMH 4Fj/2 + 41J, EI IIepepacnpeaeneam HHTeHcmBHocTeCi MelfCzy nonocaMH B cnempax nornoweHm 41g/2 + 14f3 [S, L], J ) HOHOB Nd3+ B KyGHsecmx KpmcTannmecmx coenme-HHHX. B pa3pa60TaHHbIX MeTonax B HaqecTBe pa6ouero napaMeTpa npeanomeHo napaMeTp MomeT cnymmb yno6aofi xapameprncmKofi ,,cneIwpocKonwxecHoro HCIIOJIh30BaTb OTHOIIIeHHe K03@@HUHeHTOB HHTeHCHBHOCTH R,/Q, x. 3 T O T HaYeCTBa" Xa3epHoii CpeAbI, nOJlyqeHb1 3aBHCHMOCTH MelfCMYJIbTHIIJIeTHbIX K03@@MUHeHTOB BeTBJIeHHR JIIOMHHeCUeHUHH @ , r ( x ) . npeqJIOlfCeHHble MeTOAbI ~n n~~c~p m p y m~c~ peayah~a~ania mMepeHnW OHO.-IO ~s a~r [ a T~ KpkIcTannoB c n p M e c L m HOHOB Nd3+.

Spectroscopic properties and stimulated emission in the4F3/2 →4I11/2 and4F3/2 →4I13/2 transitions of Nd3+ ions from cubic Bi4Ge3O12 crystals

“…Due to the analysis of spectral line intensit,ies by the modified Judd-Ofelt method (cf. [2,3]) the spectral quality parameter ( X ) for Bi4Ge301,-Nd3+ was found, and from the magnitude of this parameter the inter-manifold luminescence branching ratios (&) were determined for 4Fsp --+ 41a,2-1512 transitions. Using the measured spectroscopic data there were also calculated the cross-sections (a,) of all excited I T (of Bi4Ge30,-Nd3+ crystals) in our experiments.…”

Calculation of the optical fluorescence intensities and crystal field parameters of Nd3+ in calcium fluorophosphate

“…Applying the results [5] which connect the factor X = SZ, / Q, with the inter-manifold branching ratio is,, we see that X (exp) = 0.5 describes properly the spectroscopic data [ 11, i.e. that satisfactory laser energetic characteristics may be received a t the frequency of the ,F3/2 --f 4111/2 transition.…”

Spectroscopic properties of Nd0.5Gd0.5Fe3(BO3)4 single crystal

“…The analytical dependencies of the branching ratios on the factor X are given in Refs. 49,50. They show that the quality factor of the studied crystal, unlike the other compounds shown in Table 4, is optimal: branching ratios of the transitions to 4 I 11/2 and 4 I 9/2 states are almost equal and close to 50% (see Table 5).…”

“…It is seen from this Table that coefficients 2 2 for radiative transitions from the 4 F 3/2 state are equal to zero, and, consequently, probabilities of these transitions depend only on ˝4 and ˝6. Therefore, the spectroscopic quality factor X = ˝4/˝6 was introduced for characterization of the considered transitions [49,50]. Values of this factor and life times of the 4 F 3/2 state in the crystal under study as well as in some other crystals are given in Table 4.…”