0SCIENTIFIC REPpRTS
Received: 04 February 2015 Accepted: 21 May 2015 Published: 17 august 2015
R2O3 (R = La, Y) modified erbium activated germanate glasses for mid-infrared 2.7 pm laser materials
Muzhi Cai, Beier Zhou, Fengchao Wang, Tao Wei, Ying Tian, Jiajia Zhou, Shiqing Xu & Junjie Zhang
Er3+ activated germanate glasses modified by La2O3 and Y2O3 with good thermal stability were prepared. 2.7 pm fluorescence was observed and corresponding radiative properties were investigated. A detailed discussion of J-O parameters has been carried out based on absorption spectra and Judd-Ofelt theory. The peak emission cross sections of La2O3 and Y2O3 modified germanate glass are (14.3 ± 0.10) x 10-21 cm2 and (15.4 ± 0.10) x 10-21 cm2, respectively. Non-radiative relaxation rate constants and energy transfer coefficients of 4I11/2 and 4I13/2 levels have been obtained and discussed to understand the 2.7 pm fluorescence behavior. Moreover, the energy transfer processes of 4I11/2 and 4I13/2 level were quantitatively analyzed according to Dexter's theory and Inokuti-Hirayama model. The theoretical calculations are in good agreement with the observed 2.7 pm fluorescence phenomena. Results demonstrate that the Y2O3 modified germanate glass, which possesses more excellent spectroscopic properties than La2O3 modified germanate glass, might be an attractive candidate for mid-infrared laser.
In recent decades erbium doped materials have become a research hotspot due to 2.7 |m mid-infrared emission, which has wide applications in both civilian and military fields such as remote sensing, atmosphere pollution monitoring, eye-safe laser radar, medical surgery and precision guidance1-4. Er3+ is an ideal luminescent center for 2.7 |m emission corresponding to the 4I11/2 ^ 4I13/2 transition. However, for developing more efficient optical devices, besides the active ions, the host material must be considered as well. Thus, seraching for suitable host materials for mid-infrared lasers operating in this wavelength is essential.
Glass continues to attract considerable research interest owing to its feasibility of fabrication and ability to be used as high power solid state laser hosts. The host glasses for mid-infrared emission are expected to possess a minor absorption coefficient in the typical OH- absorption at ~3 |m, low nonradi-ative decay rates and high radiative emission rates5,6. Therefore, a lot of investigations have been focused on fluoride and chalcogenide glasses, especially fluoride glass, mainly owing to their low phonon energy and low OH- content. Although chalcogenide glass has quite low phonon energy and larger refractive index, its preparation process is fairly complex7. Compared to chalcogenide glass, fluoride glass is easily prepared and possesses low phonon energy, high rare earth solubility and extremely low OH- content8,9. Moreover, the fluorozirconate system (ZBLAN) has been made into fiber laser in 1999 and its output power can reach 1.7 W2. Nevertheless, the low mechanical strength and damage threshold limit its further applications in high power or energy fiber laser systems.
The thermal stability, chemical durability, mechanical strength of germanate glass are superior to fluoride glass8. Besides, germanate glass also possesses higher solubility of rare earth ions than chalco-genide glass7. Moreover, germanate glass has the advantages of low phonon energy and good infrared transmission in a wide wavelength range compared with other oxide glass10,11. Thus, from the viewpoint
College of Materials Science and Engineering, China Jiliang University, Hangzhou, 310018, China. Correspondence and requests for materials should be addressed to S.X. (email: shiqingxu@cjlu.edu.cn) or J.Z. (email: jjzhang@ cjlu.edu.cn)
SCIENTIFIC REPORTS | 5:13056 | DOI: 10.1038/^13056
of technological application, germanate glass is quite suitable as host material for mid-infrared laser12. Particularly, barium gallo-germanate (BGG) glass has been investigated extensively as an exist window for high energy lasers operating in the infrared wavelength region13,14. However, BGG glass has the disadvantages of high melting temperature, high viscosity and a large number of hydroxyl groups15,16. A high concentration of hydroxyl groups might lead to a strong absorption band around 2.7 |m and it is harmful for corresponding mid-infrared emission. To address these questions, some fluorine could be added into germanate glass since fluoride ions (F-) proved to be capable of decreasing melt viscosity and minimizing the OH- content15-17. Additionally, germanate glass can be modified by adding or substituting other components such as La2O3 and Y2O3. The addition of La2O3 is expected to improve glass forming ability, while Y2O3 component is expected to improve thermal stability and further reduce OH- content in glass due to its collection of non-bridging oxygen of glass18.
Although the difference of thermal and physical properties of La2O3 and Y2O3 modified germanate glass has been investigated by Jewell et al.19, there are few reports on the spectroscopic properties and mid-infrared emissions of La2O3 and Y2O3 modified germanate glass. In this paper, the thermal stability and spectroscopic properties of GeO2-Ga2O3-BaO-R2O3-5NaF-Er2O3 system (R = La, Y) under the excitations of 808 nm LD were investigated. The research of 2.7 |m spectroscopic properties and corresponding energy transfer mechanism in both La2O3 and Y2O3 modified germanate glasses has been carried out. Besides, energy transfer microscopic parameters were calculated via Dexter's theory and Inokuti-Hirayama model for better understanding of energy transfer processes of Er3+ ions.
Experimental processes. Er3+ doped germanate glasses were synthesized by conventional melting method, which has the following molar compositions: 65GeO2-15Ga2O3-5BaO-(10-x)La2O3-x
Y2O3-5NaF-0.5Er2O3, (x = 0, 10), denoted as GL, GY, respectively. Samples were synthesized by using high-purity of GeO2, Ga2O3, BaO, La2O3, Y2O3, NaF and Er2O3 powders. The stoichiometric chemicals were well-mixed and melted at 1400 °C for 30 min in a covered alumina crucible. The melts were poured onto a preheated steel plate and pressed by another plate for shaping. After annealing at around glass transition temperature, all samples were cut and polished into 10 x 10 x 1.5 mm3 for further measurement.
Refractive indexes of samples were measured by prism minimum deviation method at the wavelength of 1053 nm. The resolution of the instrument was ±0.5 x 10-4. The densities were tested by Archimedes principle using distilled water as an immersion liquid with error limit of ±0.05%. Differential scanning calorimeter (DSC) curve is measured using NETZSCH DTA 404 PC at the heating rate of 10 K/min with maximum error of ±5 °C. Absorption spectra were recorded with a Perkin-Elmer- Lambda 900UV/ VIS/NIR spectrophotometer in the range of 350-1640 nm. Photoluminescence spectra in the ranges of 2600-2800 nm and 1400-1700 nm were determined via a combined fluorescence lifetime and steady state spectrometer (FLSP 920) (Edingburg Co., England), which was detected with a liquid-nitrogen-cooled PbS detector using an 808 nm laser diode (LD) as an excitation source. The 808 nm LD with the same power was also utilized to measure the lifetimes of Er3+:4I11/2 and 4I13/2 levels. The lifetimes were calculated by fitting a single exponential function to the measured data. The same experimental conditions for different samples were maintained so as to get comparable results. All the measurements were performed at ambient temperature.
Results and Discussion
Thermal stability and density. Figure 1 shows the differential DSC curves for the prepared glasses. The glass transition temperature Tg, onset crystallization temperature Tx, and thermal stability AT( = Tx-Tg) in various glasses are displayed in Table 1. It is found that the AT of GL and GY samples are 190 °C and 175 °C, respectively. Compared with AT, the glass formation factor, Kgl = (Tx-Tg)/(Tm-Tg), where Tm is the glass melting temperature, is more suitable to estimate the glass thermal stability. It is clear that Kgl of GL and GY can reach 0.26 and 0.25, respectively. Both AT and Kgl of prepared samples are larger than those of tellurite20, bismuth21 and germanate glass22, while is comparable to BGG glass19. The result suggests that the prepared germanate glasses have good glass forming ability and thermal stability.
Tg is an important factor for laser glass, which gives glass good thermal stability to resist thermal damage at high pumping intensities. The values of Tg of both prepared samples are substantially larger than the other glasses in Table 1. It is interesting to find that the Tg of GY is larger than GL, which is in accordance with the work of John M. Jewell19. The importance of the density for describing the structure of a glass is evident. The density of glass is mainly influenced by the molecular weight of glass components, the integration and the compactness of the glass network. The density of GL (4.76) is larger than GY (4.47), and a most possible reason for the decrement in density is ascribed to the smaller molecular weight of Y2O3 compared to La2O3. Both of the prepared glasses have a smaller density than BGG glass (4.85)13.
Absorption spectra and J-O analysis. Figure 2 reveals the absorption spectra of Er3+ activated germanate glasses modified with La2O3 (GL) and Y2O3 (GY) at room temperature in wavelength region of 380-1600 nm. Absorption bands in this figure are labeled, which correspond to the transitions starting from the "I^ ground state to higher 4In/2, 4I„/2, %/2, 2HU/2, ^5/2,3/2, 2H№ and 4GU/2 levels23. The shape and peak positions of each transition in present glasses are very similar to those of
400 500 600 700 800 900
Temperature(°C) Figure 1. DSC curve of the prepared samples.
Sample Tg (°C) Tx (°C) AT (°C) Kg, Reference
GL 660 850 190 0.26 This work
GY 700 875 175 0.25 This work
Tellurite 354 498 146 0.19 20
bismuth 365 511 146 0.24 21
germanate 618 747 123 0.176 22
Table 1. The measured glass transition temperature (Tg), the onset crystallization temperature (Tx) and the calculated thermal stability (AT) in various glasses.
400 600 800 1000 1200 1400 1600
Wavelength(nm)
Figure 2. Absorption spectrum of the prepared samples. The inset is the enlarged absorption spectrum from 770-830 nm.
other Er3+ doped glasses24,25, except for some tiny divergences that originated from the different ligand field strength of host glasses. It is observed that two absorption peaks (4G11/2 ^ 4I15/2 and 2H11/2 ^ %5/2) are much stronger than other bands. They are sensitive to small changes of local environment around Er3+ ions, called hypersensitive transitions (HSTs)5. The inset of Fig. 2 displays the enlarged absorption spectrum in the range of 770-830 nm. Obvious absorption peaks around 808 nm manifested the prepared glasses can be pumped by low-cost 808 nm laser diodes (LDs).
Samples n2 04 06 Sr.m.> (x10-6) References
GL 5.18 ± 0.06 2.36 ± 0.04 0.78 ± 0.07 0.49 This work
GY 5.72 ± 0.03 2.02 ± 0.05 1.04 ± 0.03 0.29 This work
silicate 4.23 1.04 0.61 5.4 33
Tellurite 3.40 1.00 0.20 - 34
Fluoride 3.08 1.46 1.69 0.32 6
Table 2. J-O intensity parameters (t = 2,4,6) (X10 20 cm2) of Er3+ in various glasses.
Some important spectroscopic and laser parameters of rare earth doped glasses have been commonly analyzed by way of Judd-Ofelt (J-O) theory based on absorption data26-28. Details of the theory and method have been well described elsewhere29-31. Thus, only results will be presented here. The J-O intensity parameters Ot (t = 2, 4, 6) of GL and GY glass were determined in Table 1. The root-mean-square deviation (Srms) in GL and GY glass is as low as 0.49 x 10-6, 0.29 x 10-6, respectively, proving the validity of the results and the reliable calculations.
It can be seen from Table 2 that the value of 02 in GY glass is higher than those of other Er3+ doped glasses. It is well known that 02 is strongly dependent on the RE3+ local environment and it is directly related to the symmetry or polarization of local structure and the covalence of chemical bonds formed by the RE3+ with its ligands. Based on this idea, the higher 02 in GY glass indicates the larger polarization of Y2O3 and asymmetry around Er3+ 32. Thus, the chemical bonds associated with the Er3+ ions is more covalent than those of silicate33, tellurite34, fluoride6 glasses as shown in Table 2. In addition, in this work, the 02 value of GL glass is lower than that of GY glass. According to the electronegativity theory, the covalency of the bond will become stronger with the decrease of the difference of electronegativity between cation and anion35. Since the values of electronegativity, for La, Y and O elements, are 1.1, 1.22, 3.5, respectively, the covalency of Y-O bond is stronger than that of La-O bond. This behavior will lead to the larger polarization of Y2O3 component than that of La2O3 and the asymmetry of the site occupied by Er3+ in GL glass is lower than that of GY glass. On the other hand, the 06 parameter is related to the overlap integrals of 4f and 5d orbit36. The 06 of GY is larger than those of GL, germanate37, tellurite34, silicate33 glasses, smaller than that of fluoride glass6.
Radiative properties. Since Smd is independent of ligand fields and Sed is a function of glass structure and composition38, in order to get flat emission spectrum, it can be effective to increase the relative contribution of the electric-dipole transition39. According to Judd-Ofelt theory, the line strength of the electric dipole components of 2.7 um emissions can be expressed as
Sed (4I11/2 ^ 4I13/2) = <1 |U(2)||) x 02 + (I|U(4)||) X O4 + (I|U(6)||) X ^
= 0.02102 + 0.110 4 + 1.0406 (1)
According to Eq. (1), the Sed is mainly dominated by 06. From Table 2 it is noted that 06 in GY glass is higher than those of other various glasses except fluoride glass. Therefore, compared to GL glass, GY glass is more expected to be an appropriate host material that gets flat emission spectrum from the Er3+:
4I11/2 ^ 4I13/2 transitions.
Further calculation about spontaneous radiative transition probability (Arad), fluorescence lifetime (Trad), and branching ratios ((3) of Er3+ various transition in prepared glasses are listed in Table 3. As is shown in Table 3, the GY glass possesses a larger Arad (36.21 s-1) than that of GL glass (35.03 s-1) for Er3+:4I11/2 ^ 4I13/2 respectively40. It is worth noting that both of prepared glasses possess evidently larger Arad than BGG glass (19 s-1)41. Furthermore, the values of ( in both samples are comparable to those
germanate glasses37,41.
Since multiphonon relaxation rate has a substantial impact on 2.7 |m emissions, a low nonradiative decay rate is required to achieve strong 2.7 |m fluorescence. The multiphonon relaxation rate constant (kmp) from a given excited state can be estimated from the energy-gap law42. The multiphonon relaxation rate constant (kmp) can be defined as,
kmp (T) = /e-a^^ . [1 - e-ffiw»»/kT]-p (2)
where AE is the energy gap between the emitting level and the adjacent lower level. a and / are positive-definite constants depending on glasses. hwmax is the highest phonon energy of the glass. Where p = AE/ñw max is the minimum number of phonons required to bridge the energy gap AE43. In this work, kmp is calculated using the parameters a = 4.6 x 10-3 cm, ( = 6.1 x 107 s-1 and T = 300 K reported for germanate glass44. Via Eq. (2), the kmp values for Er3+:4I11/2 ^ 4I13/2 and 4I9/2 ^ 4I11/2 transitions of GL glass and GY glass are determined as shown in Table 3. The transition of 4I9/2 ^ 4I11/2 is proposed to be a multiphonon decay process compared to 4I11/2 ^ 4I13/2 transition. In addition, the kmp of 4I11/2 ^ 4I13/2
Transitions AE (cm-1) GL GY
Arad (S-1) (3 (%) Trad (ms) Arad (S-1) 3 (%) Trad (ms)
4T _ 4T 113/2 ^ T15/2 6532 170.20 100 5.88 184.57 100 5.42
4T11/2 _ 4T15/2 10225 150.70 81.14 5.38 176.28 82.96 4.71
_%3/2 3693 35.03 18.86 - 36.21 17.04 -
4T9/2 _ 4T15/2 12500 253.86 85.01 3.35 205.51 79.14 3.85
T13/2 5968 41.41 13.87 - 50.99 19.64 -
_4T ^ T11/2 2275 3.34 1.12 - 3.19 1.23 -
4F9/2 _ 4T15/2 15337 2289.43 92.04 0.40 2065.61 91.27 0.44
_%3/2 8806 125.63 5.05 - 111.82 4.94 -
_4l11/2 5112 67.79 2.73 - 81.10 3.58 -
_4T _ T9/2 2837 4.61 0.19 - 4.69 0.21 -
4c _ 4T c3/2 T15/2 18416 1040.44 66.07 0.64 1285.13 66.88 0.52
_4T13/2 11884 426.43 27.08 - 522.51 27.19 -
_4l11/2 8191 35.96 2.28 - 41.89 2.18 -
_%/2 5916 71.94 4.57 - 72.15 3.75 -
2HH/2 _ 4T15/2 19194 10648.38 100 0.09 10224.71 100 0.10
4p _, 4T f7/2 115/2 20492 3359.68 99.24 0.30 3571.00 99.34 0.28
kmp 4T _ 4T T11/2 113/2 6.98 x 103 6.6 x 103
( s-1) %/2 _ 4T11/2 4.75 x 106 4.53 x 106
Table 3. Experimental (fexp) and calculated (fcal) oscillator strengths for selected transitions of Er3+ in various glasses.
2600 2650 2700 2750 2800 2600 2650 2700 2750 2800
Wavelength(nm) Wavelength(nm)
Figure 3. The fluorescence spectrum of the prepared samples at 2.7um (a) and the cross sections (emission and absorption) of prepared samples (b).
transition in both GL glass and GY glass are smaller than those of silicate glass (7.13 x 104 s-1)45 and other germanate glass (1.11 x 104 s-1)45, while comparable to fluorphosphate glass45.
Fluorescence spectra at 2.7 |m. Figure 3 illustrates the mid-infraed emission spectra and cross sections of Er3+ doped GL and GY glasses pumped at 808 nm laser diode(LD). As shown in Fig. 3(a),
the 2.7 |m emissions of both glasses can be observed. It is interesting to find that the 2.7 |m emission intensity of GY glass is stronger than GL glass. Some spectroscopic parameters have been calculated to better explain the interesting situation.
According to the Fuchtbauer-Ladenburg theory the 2.7 |m emission cross section (ffem) can be calculated by
AI (A)
Sven2 J AI (A) dA
where X is the emission wavelength, Arad is the spontaneous radiative transition probability of Er3+: 4I11/2 ^ 4I13/2 transition, c is the velocity of light in vacuum, n is the refractive index of glass host (GL:1.76 and GY: 1.73), I(X) is the 2.7 |m fluorescence intensity, and JI(X)dX is the integrated fluorescence intensity. Based on emission cross section, aem, absorption cross section (ffabs) can be obtained by[51],
Oem ( A) = Oabs (A)
hc_ kT
where Zl and Zu are the partition functions for the lower and the upper levels involved in the considered optical transition, respectively. T is the temperature (here is 300 K), k is the Boltzmann constant and XZL is the wavelength for the transition between the lower Stark sublevels of the emitting multiplets and the lower Stark sublevels of the receiving multiplets.
As shown in Fig. 3(b), the absorption and emission cross sections can be calculated by Eq. (3) and (4). It can be seen that the peak absorption cross sections at 2.7 |im of GL and GY glass are (10.3 ± 0.10) x 10-21 cm2 and (10.1 ± 0.10) x 10-21 cm2, respectively, the peak emission cross section are (14.3 ± 0.10) x 10-21 cm2 and (15.4 ± 0.10) x 10-21 cm2, respectively. Higher emission cross section means that better laser gain can be achieved in glass. It is found that the obtained aem for both glasses are higher than those of fluoride (9.16 x 10-21 cm2)6, bismuthate (7.73 x 10-21 cm2)21 and tungsten- tellurite glass (6.05 x 10-21 cm2)46.
In addition, according to Eq. (5), the effective emission bandwidths (A\eff) have been obtained.
AKff =
JO"em (A) dA
where cr/^ is the peak emission cross section at 2.7 |m. Since the 2.7 |m emission band of Er3+ ions in glass is asymmetric, it is more reasonable to select effective emission bandwidth other than the full width at half maximum as presented in Fig. 3(b). For broadband amplifier, it is required that effective emission bandwidth is as wide as possible to provide multiple channels for signal transmission. It is calculated from Fig. 3(a) that the A\eg- of GL and GY glass can reach 58.4 and 59.3 nm, which is larger than that of chalcogenide glass (56 nm)5. High effective emission bandwidth means that the prepared glasses have potential applications in broadband amplifier operating at 2.7 |m.
According to the ffem(X) and ffabs(X), the gain spectra (G(X)) at 2.7 |m can be calculated by the report18. Figure 4 indicates the gain spectra of 2.7 |m of prepared glasses. Evidently, both GL and GY, when the population inversion P > 0.4, the gain cross sections in range of 2683-2772 nm become positive. It is suggested that Er3+ activated GL and GY glass is an attractive candidate for mid-infrared laser with low pump threshold.
The product of A\f x defined as gain bandwidth, is another important parameter to evaluate the gain performances of prepared samples47. Larger gain bandwidth means better gain property of the material. Due to higher emission cross section and larger emission bandwidth, the GY glass has higher gain performance (9.13 x 10-26 cm3) than GL glass (8.35 x 10-26 cm3). From the above comparsion, it is roundly expected that GY glass have a better gain properties than GL glass at 2.7 |m, which is also in good with the 2.7 fluorescence intensity as shown in Fig. 3(a).
o____=
Energy transfer mechanism and microparameters. Figure 5 reveals the energy transfer process of Er3+ pumped by 808 nm LD. Under 808 nm pumping, the ions in Er3+: 4I15/2 level are excited to the 4I9/2 state by ground state absorption process (GSA). Then the ions in 4I9/2 level non-radiatively decay to 4I11/2 state by multiphonon relaxation process due to small energy gap between 4I9/2 and 4I11/2 level. The ions in 4I11/2 state are populated to 4F7/2 level owing to excited state absorption (ESA: 4I11/2 + a photon ^ 4F7/2) or energy transfer upconversion (ETU1: 4I11/2 + 4I 11/2 ^ 4115/2 + 4F7/2). Afterwards, ions in 4F7/2 level relax non-radiatively to 2H11/2 state due to multiphonon relaxation process. Due to small energy gaps among 2H 11/2, 4S3/2 and 4F9/2 levels, ions in 2HU/2 state decay nonradiatively to 4S3n and 4F9fl level. On the other hand, ions in 4I11/2 level can decay to lower 4I13/2 level by radiative or nonradiative process and radiative process generates 2.7 |m fluorescence. Finally, ions in 4I13/2 state relax radiatively to the ground state and 1.53 |m fluorescence occurs. Besides, ions in 4I13/2 level can also undergo ETU2 process (4I13/2 + 4I13/2 ^ 4I15/2 + 4I9/2), thus resulting in the further population accumulations of 4I9/2 level. The nonradiative rate
2600 2650 2700 2750 2800 2600 2650 2700 2750 2800 Wavelength(nm) Wavelength(nm)
Figure 4. Gain spectra of GL (left) and GY (right) glasses.
Figure 5. The energy transfer mechanism of GL and GY.
of 4I9/2 ^ 4I11/2 transition is so large that ions in 4I9/2 level decay quickly to 4I11/2 level, which is beneficial to populations of the 4I11/2 level and 2.7 | m emissions. Moreover, as is discussed in above, for Er3+: 4I11/2 ^ 4I15/2 transition, GY has a higher multiphonon relaxation rate constant than GL, which makes it have a more active energy transfer process mentioned above. It is worth mentioning that the residual OH- of glass is to the disadvantage of mid-infrared emission. It can quench the 2.7 |m fluorescence via the following processes (4I11/2 + 0 ^ 4I13/2 + 1) in prepared glasses as depicted in Fig. 5. These energy transfer processes are harmful for mid-infrared emissions. Hence, it is necessary to minimize OH- content and weaken unwanted energy transfer from Er3+ to OH-.
To make clear of mid-infrared emission mechanism, a quantitative understanding of energy transfer process about Er3+: 4I11/2 level in present glasses is required. According to FOster48 and Dexter49, the probability rate of energy transfer between donor and acceptor can be estimated as50,51
WD-A = i\Hda I'SDA, (6)
Where |HDA| is the matrix element of the perturbation Hamiltonian between initial and final states in energy transfer process, N is the total phonons in the transfer process m + k = N, SDNIA is the integral
GL GY
Transition N (#phonons-assist) (% contribution) CDA (10-40 cm6-s-1) N (#phonons-assist) (%contribution) CDA (10-40 cm6-s-1)
4l11/2 ^ ïll/2 o (99.99) 1 (o.oi) 4.61 o (99.99) 1 (o.o1) 4.63
4T . T M3/2 ^ T13/2 o (99.99) 1 (o.oi) 5o o (99.99) 1 (o.o1) 52
Table 4. Calculated energy transfer microscopic parameters CDA for 4I11/2 and 4I13/2 levels in present glasses. The number # of phonons necessary to assist the energy transfer process is also indicated with their contributions (in %).
overlap between the m-phonon emission sideband of donor ions and k-phonon absorption line shapes of acceptor ions. In our case, both donor and acceptor are Er3+ ions on 4I11/2 level. In the case of weak electron-phonon coupling, it is suitable for rare earth ions. S^A can be approximated by
D « £e-(S°D+S°A) x (So° +
SDA(o, o, E) 5 (N, AE/hwo),
Where S03 and S0A are the Huang-Rhys factors, SDA (0, 0, E) is the overlap between the zero phonon line shape of emission and absorption. Then the integral overlap in the case of m-phonon emission by the donor and no phonon involvement by the acceptor can be expressed as
SDA(m, ^ E) = J gL {m-pHonon) (E)gl (E) dE = m0Te-SOSDA (0, ^ E I" Ç m
= j e-so fgD , (e - AE J mT J em's
gabs (E) dE, (g)
Where AE = mhu0. Since the measurements are carried out at some finite temperature T, the multi-phonon probability must be included, and the emission cross section (aemis) with m phonon emission and absorption cross section (aabs) with k phonon absorption can be proposed as
n D = rr D
tsprniç im — tihnnnri\ ^pr
Some-S
is (m-phonon) remis m) « mj (n + 1) nemis (E El), (9)
a a — Soe-s° _ k A
aabs (k—phonon) = aabs k ) ~ --a"bs + E 2)1 (10)
Where E1 = mhu0, E2 = khu0, and AE = Ej + E2, A,+denotes the transiation of emission cross section wavelength by m-phonon emission, A + = 1/(1/A- mhu0), and A— represents the translation of absorption cross section spectra wavelength due to k-phonon absorption A— = 1/(1/A + mhu>0).
The energy transfer coefficient is then expressed by
6cgD Sm n
Cda = ^T D E e—(2n+1) SoS0-(n + 1)m f aeDmis (A +) (A) dA,
(2n)4 n 2g!D,m=o m! J (11)
In this work, both the donor and acceptor are Er3+ ions. Energy transfer properties of 4IJJ/2 and 4I13/2 level in GL and GY have been calculated using Eqs (6)-(11) and listed in Table 4. The results show that the energy transfer processes of Er3+: 4IJJ/2 and 4I 13/2 level are scarcely phonon dependent. The energy transfer coefficient CD-A in GL and GY of Er3+: 4IJ3/2 level are as high as 50 x 10—40 and 52 x 10 —40 cm6/s, respectively, but 4IJJ/2 level is 4.61 x 10—40 and 4.63 x 10—40 cm6/s, respectively. This suggests the energy of 4I 13/2 level in present glasses can more efficiently transfer to the same level nearby compared with 4I11/2 level, which is helpful to deplete the populations of 4I13/2 level and promote population inversion between 4I11/2 and 4I13/2 level.
Figure 6 displays the decay curves of 4In/2 and 4I13/2 level in both glasses pumped by 808 LD. It is found that the decay tendency of GY is slower than GL at both 975 and 1530 nm. To shed new light on the population behavior of 4In/2 level and 4I13/2 level, the energy transfer processes of these energy levels were analyzed quantitatively on the basis of Inokuti-Hirayama (I-H) model. I-H model can also be used to estimate the energy transfer process among Er3+ ions, which is expressed as52,53
.......GL
....... GY
~' t — Fitting curve of GL
- 1 — Fitting curve of GY
\ X=975 nm
500 1000 Decay time(us)
¿0.6 *
• fH
10.4 =
1500 0
• Fitting curve of GL ■ Fitting curve of GY
^=1.53 \xm
Decay time(ms)
Figure 6. Decay data (dash line) of 4I11/2 level at 975 nm (a) and I13/2 level at 1530 nm (b) in prepared glasses together with fitting curves (solid line) via I-H model.
Sample I-H model
975 nm 1530 nm
Tm (ms) Q Tm (ms) Q
GL 0.0018 0.23 4.17 0.043
GY 0.00197 0.21 6.11 0.053
Table 5. Lifetime (t0), and energy transfer parameter (Q) of Er3+: 4I11/2 and 4I13/2 level in prepared samples.
— = exp
- Q f t 3/s
T m i T m )
where s is 6, 8 or 10 depending on whether the dominant mechanism of interaction is dipole-dipole, dipole-quadrupole or quadrupole-quadrupole, respectively. t 0 is the intrinsic lifetime. The energy transfer parameter (Q) is defined as
Q = rfi - -)NErR? 3 i s)
where r (1-3/s) is equal to 1.77 for dipole-dipole interactions (s = 6), 1.43 for dipole- quadrupole interactions (s = 8) and 1.3 in the case of quadrupole-quadrupole interactions (s = 10). NEr is the concentration of Er3+ ions (in ions cm-3) and Rc is the critical transfer distance defined as the donor-acceptor separation for which the energy transfer rate is equal to the rate of intrinsic decay of the donors.
The decay curves of present samples have been well fitted by I-H model for s = 6 and the results are listed in Table 5. This indicates that the energy transfer among Er3+ ions takes place due to dipole-dipole interactions. From Table 5, it can be found that the energy transfer parameter Q for GY sample is lower than that of GL sample in 4I11/2 level while the Q value of GY sample is higher than that of GL sample in 4I13/2 level. The higher the value Q is, the stronger the energy transfer process becomes. It is indicated that higher Q of 4I13/2 level and lower Q of 4I11/2 level for GY sample are more beneficial for the population inversion between them and enhancing 2.7 |im emissions. It is in accordance with the result of Fig. 3(a).
Conclusions
Er3+ doped germanate glasses modified by La2O3 and Y2O3 with good thermal stability were prepared. 2.7 |m fluorescence was observed and corresponding radiative properties were investigated. J-O parameters have been discussed in detail based on absorption spectra and Judd-Ofelt theory. The peak emission cross sections of La2O3 and Y2O3 modified germanate glass are (14.3 ± 0.10) x 10-21 cm2 and (15.4 ± 0.10) x 10-21 cm2, respectively. To understand the 2.7 |m fluorescence, non-radiative relaxation rate constants and energy transfer coefficients of 4I11/2 and 4I13/2 levels have been obtained and discussed. Moreover, the energy transfer processes of 4I11/2 and 4I13/2 level were quantitatively analyzed according to Dexter's theory and Inokuti-Hirayama model. The theoretical calculations are in good agreement with the observed 2.7 |m fluorescence phenomena. Results demonstrate that the Y2O3 modified germanate glass possesses more excellent spectroscopic properties than La2O3 modified germanate glass, and might be an attractive candidate for mid-infrared laser materials.
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Acknowledgments
This research was financially supported by the Chinese National Natural Science Foundation (No. 51172252, 51372235, 61308090 and 51272243), Zhejiang Provincial Natural Science Foundation of China (No. LR14E020003, LY13F050003 and LY14E020007).
Author Contributions
M.Z.C. wrote the main manuscript text. B.E.Z., F.C.W. and T.W. checked up. J.J. Zhang. and S.Q.X. are responsible for the experiment. All authors reviewed the manuscript.
Additional Information
Competing financial interests: The authors declare no competing financial interests.
How to cite this article: Cai, M. et al. R2O3 (R =La, Y) modified erbium activated germanate glasses for mid-infrared 2.7 |im laser materials. Sci. Rep. 5, 13056; doi: 10.1038/srep13056 (2015).
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