# Optical Spectra Properties and Continuous-Wave Laser Performance of Tm,Y:CaF2 Single Crystals

Authors: Jingxin Ding; Beibei Zhao; Weiwei Ma; Hao Yu; Xiaobo Qian; Lingchen Kong; Jingya Wang; Guoqiang Xie; Anhua Wu; Fanming Zeng; Liangbi Su
Journal: International Journal of Optics
 (2018)

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## Abstract

3 at.% Tm,x at.% Y:CaF2 crystals (x=0, 0.5, 1, 2, and 3) were grown by the vertical Bridgman method and investigated. Codoping Y3+ ions can manipulate the local structure of Tm3+ ions in the CaF2 crystal and then improve the spectroscopic properties. Compared with 3 at.% Tm:CaF2, 3 at.% Tm, 3 at.% Y:CaF2 crystal has several advantages. Firstly, the absorption cross section is improved from 0.35 × 10−20 cm−2 to 0.45 × 10−20 cm−2 at 767 nm, and the fluorescence intensity had elevated 3.4 times. Secondly, the linewidth of the fluorescence spectrum and lifetime also increased from 164 nm to 191 nm and from 6.16 ms to 8.15 ms at room temperature, respectively. Furthermore, quantum efficiency improved from 58.2% to 80.3%. The maximum laser output power of 583 mW and slope efficiency of 25.3% were achieved in 3 at.% Tm, 3 at.% Y:CaF2 crystal under 790 nm diode pumping.


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## Body

## 1. Introduction

Calcium fluorides, as laser substrates, possess various advantages of large size, high thermal conductivity, well controlled crystal growth processes, and low nonlinear refractive coefficient. Trivalent rare-earth ions, like Tm, Nd, Pr, doped CaF2 crystals behave broad, smooth absorption and emission spectra due to heterovalent substitution of Ca2+ within the structure without loss of structural integrity [1]. Various RE3+ optical centers could be formed in this fluoride by substituting divalent cation ions, and the excessive charge of rare-earth ions is compensated by interstitial fluorine. The Nd3+ doped CaF2 crystal as a laser-pumped-amplifier medium has been abandoned due to a very serious concentration quenching effect which results from the clustering of the neodymium ions and kinds of cross-relaxation type energy transfer processes, which weaken their emission quantum efficiency [2]. However, the [Nd3+-Nd3+] quenching pairs in clusters can be easily dissociated by codoping buffer ions such as Y3+ ions [3–8], La3+ ions [9], and Sc3+ ions [10]. For example, Nd,Y:CaF2 crystal, Y3+ ions were codoped in Nd:CaF2 crystal which substitute for Ca2+ forming complicated local structure that performs an effect on spectroscopic properties [8].As the solid-state lasers medium, the doped Tm3+ calcium fluoride crystal proves the potential to achieve efficient compact diode-pumped lasers with an oscillation wavelength near 2 μm which could be directly pumped around 790 nm (3H6→3H4 absorption transition) due to much lower nonradiative losses caused by multiphonon relaxation [11]. Tm ions act both as a sensitizer and activator in a single-doped sample, meaning that a higher concentration is necessary for effective absorption of 800 nm laser excitation. Compared to oxide crystals, pure CaF2 crystal has a thermal conductivity as high as 10 W/cm·K [12] and low phonon energy (maximum value of 495 cm−1) [13], making it very suitable for a laser host crystal and becoming one of the first laser hosts in the early 1960 nm. The predecessors have done some researches on Tm3+ doped CaF2 single crystals and found that Tm:CaF2 crystals possessed broadband absorption and emission properties [11, 14, 15]. The spectroscopic investigation on Tm3+ doped crystals indicates that Tm3+ ions interactions occur (forming the cross relaxation) at relatively low dopant concentrations (nearly 1%), that is, two excited ions in the 3F4 upper ground level 7F6 for one absorbed pump photon. The distinction between isolated and clustered ions is observed in the emission spectra due to different doped concentration. Besides, nonradiative processes related to 3H5-3F4 induced by [Tm-Tm] clusters in the crystals could result in strong heat generation and distortions reducing quantum efficiency [16]. To achieve higher power laser at 2 μm, one of the efficient ways is to prepare Tm:CaF2 with higher Tm deponent concentrations avoiding clustering. However, a spectral region around 1.45 μm associated with a 3H4→3F4 optical transition could be vanished when the Tm3+ dopant concentration is beyond 1.34% due to [Tm-Tm] clusters [14], and the energy may be absorbed by the ground stated 3H6. However, when the concentration of Tm becomes higher, some other possible ways of energy transfer would occur, such as 1G4 + 3H4→3F4 + 1D2 [17], 3H5→3H6 [18], and 3H5 + photo800nm→1G4. Therefore, we take the advantage of Y3+ as buffer ions reported in Nd,Y:CaF2 [3, 8] crystals to prepare the Tm,Y:CaF2 crystals to break the [Tm-Tm] clusters and increase the Tm3+ emission intensity as well as efficiency in higher concentration, and the laser performance and wide emission spectrum have been expected. Importantly, the incorporation of Y3+ ions to the influences of spectroscopic properties in Tm3+ doped CaF2 single crystals had not been investigated systematically.In this paper, to improve high pump absorption efficiency and high gain per unit length, a series of 3 at.% Tm andx at.% Y:CaF2 crystals have been grown by the vertical Bridgman method, and spectroscopic properties were studied systematically. We have carried out laser experiments and obtained continuous-wave laser output.


## 2. Experimental

The single crystal samples, namely, 3 at.% Tm,x at.% Y:CaF2 (x=0, 0.5, 1, 2, 3) crystals (at.%, atom percent), were grown by the traditional vertical Bridgman method. High purity fluorides crystalline powders (4 N), CaF2, TmF3, YF3, were used as starting materials, and 1 wt% PbF2 was selected as an oxygen scavenger avoiding oxidation and volatilization additionally. These materials were completely mixed by molar ratios and filled into an assembled platinum crucible. The growth parameters are as follows: the temperature of the melt around 130°C, the pulling rate 0.8 mm/h, the cooling rate 20°C/h. The samples (the same thickness of about 2 mm) were handled with cutting and double-face optically polishing for spectral measurement.By recording absorption and emission spectra, we investigated the spectroscopic properties of the crystals. The absorption spectra were measured by using a Jasco V-570 UV/VIS/NIR spectrophotometer. The fluorescence spectra and lifetime were obtained with a FLS980 time-resolved fluorimeter with grating blazed at 1820 nm and detected using a Hamamatsu InSb. Measuring of fluorescence spectra was performed under pumping at 808 nm with a CW laser operation. All the measurements were conducted at room temperature.


## 3. Results and Discussion

### 3.1. Phase Identification and Crystal Structure

3 at.% Tm,x at.% Y:CaF2 crystals (x=0,0.5,1,2,3) have been analyzed by powder XRD and behave the purity phase CaF2 without any impure peaks as shown in Figure 1(a). The XRD patterns of the crystals have matched well with the JCPDS standard card of CaF2 ICSD 00-075-0363 indicating that the fluorite cubic structure (Fm-3 m) has not been changed by the increasing concentration of yttrium. Tm3+ and Y3+ ions substitute for Ca2+ ions in the CaF2 lattice, and smaller F− ions have taken placed in the interstitial positions of the empty cubes to compensate the charge and maintain electrical neutrality leading to the smaller Bragg’s angels and larger lattice parameters which could be distinguished clearly on the enlarged view of (111) in Figure 1(a). The lattice parameters of series of 3 at.% Tm, x at.% Y:CaF2 (x=0.5, 1, 2, 3) single crystals are 5.46785 Å, 5.46947 Å, 5.47535 Å, 5.4763 Å, respectively, much larger than 5.4559 Å of Tm:CaF2, and increase with the rising codoping Y3+ ion concentration as shown in Figure 1(b). These observations confirm that Tm3+ and Y3+ ions had been effectively doped into the host lattice of CaF2.Figure 1
The XRD patterns (a) and lattice parameters (b) of 3 at.% Tm,x at.% Y:CaF2 crystals.
(a)
(b)


### 3.2. Absorption and Emission Properties

The absorption spectra from 500 nm to 2000 nm at room temperature of 3 at.% Tm,x at.% Y are shown in Figure 2(a). Due to various splitting energy levels of 3H6 and 3F4, the absorption bands have been divided into several peaks. Several main absorption bands, 3H6-3F2 (652 nm), 3H6-3F3 (675 nm), 3H6-3H4 (667 nm, 792 nm), 3H6-3H5 (1135 nm, 1206 nm), 3H6-3F4 (1620 nm, 1668 nm), have been marked in the spectra. Clearly, all the absorption cross sections are increased with the Y ions. Additionally, the absorption 3H6-3H4, which is usually used for diode pumping, inset in the picture has been analyzed in detail at 767 nm and 792 nm in the same bands caused by different emission centers, defined as A-center and B-center.Figure 2
Absorption spectra (a) and energy level diagrams (b) of 3 at.% Tm,x at.% Y:CaF2 crystals at 300 K.
(a)
(b)The largest absorption cross section at 767 nm of 3 at.% Tm, 3 at.% Y:CaF2 improves to 0.45 × 10−20 cm−2, much larger than that reported in [14]. On the other side, the absorption cross section at 792 nm decreases gradually from 0.22 × 10−20 cm−2 to 0.12 × 10−20 cm−2 with the increasing Y ions. Y ions play an important role in modulating spectral performance. The absorption spectra of Tm3+ ions can be significantly altered by codoping with Y3+ ions. The changeable absorption cross sections indicate that the local structure and symmetry of the calcium fluoride crystal have been modified by changing the amount of deponent codoping Y3+ ions. The increasing phenomenon could be attributed to the stronger crystal field caused by interstitial F− ions in the lattice induced by the codoped Y3+ separating the [Tm-Tm] clusters, caused by a considerable high doping concentration 3 at.% much larger than 1.34% [11, 19], to an appropriate distance and forming A-centers instead of B-centers. By doping Y3+ ions, B-center has been broken, forming more A-centers as a result. Anyway, it is clear that codoping Tm:CaF2 with Y3+ ions slightly broadens the absorption bands 3H6-3H4, which should be profitable for LD pumping. The broad wavelength tunability indicated an efficient ground-state stark splitting with the introduction of Y3+ ions in the as-grown Tm,Y:CaF2 crystal.The fluorescence spectra of 3 at.% Tm,x at.% Y:CaF2 crystals, corresponding to 3F4-3H6 emission transition of Tm3+ around 1.8 μm, excited by 767 nm are reported in Figure 3. The emission spectra of the five crystals consist of four bands, peaking at 1611 nm (6207 cm−1), 1666 nm (6002 cm−1), 1820 nm (5494 cm−1), 1856 nm (5387 cm−1), respectively. The carves of Tm,Y:CaF2 demonstrate several intense separate local maxima compared to the one of the Tm:CaF2, indicating that the Y3+ ions codoping modulate the emission spectral structure of Tm3+ ions in CaF2 hosts. The emission intensity of 2873 a.u. at 1820 nm of the 3 at.% Tm, 3 at.% Y:CaF2 crystals is 3.4 times higher than that of the 3 at.% Tm:CaF2 crystal (842 a.u.), whose value is the largest above all the samples. As has been discussed in the absorption cross sections, Y3+ codoping breaks the Tm3+ ion clusters and increases the fluorescence quantum efficiency which could also be proved in Table 1. Additionally, the luminescence intensity of the 1.8 μm band is improved by doping Y3+.Table 1
The detailed values ofσabs, σem, τrad, τem, η of 3 at.% Tm, x at.% Y:CaF2 at 1820 nm.
Crystals
σ
a
b
s/cm2
σ
e
m/cm2
τ
r
a
d/ms
τ
e
m/ms
η/%
3 at.% Tm:CaF2
0.063
1.206∗ 10−20
10.58
6.16
58.2
3 at.% Tm, 0.5 at.% Y:CaF2
0.054
1.026∗ 10−20
11.43
7.25
63.4
3 at.% Tm, 1 at.% Y:CaF2
0.057
1.090∗ 10−20
10.24
6.53
63.7
3 at.% Tm, 2 at.% Y:CaF2
0.054
1.026∗ 10−20
10.82
7.55
69.8
3 at.% Tm, 3 at.% Y:CaF2
0.056
1.088∗ 10−20
10.14
8.15
80.3Figure 3
Fluorescence spectra for3F4-3H6 transition of 3 at.% Tm, x at.% Y CaF2 crystals at 300 K.Figure4 shows the logarithm of the emission intensity at 1820 nm of Tm3+ as a function of the decay time in 3 at.% Tm, x at.% Y:CaF2 crystals excited by 767 nm at room temperature. The straight lines indicated that the decay was consistent with a first-order exponential and the emission lifetimes were labelled as arrows. The emission lifetimes were fitted to be 6.16 ms, 7.25 ms, 6.53 ms, 7.55 ms, 8.15 ms for 3 at.% Tm, x at.% Y:CaF2(x=0,0.5,1,2,3), respectively, which is in the order of 5 ms [11] much shorter than the longer lifetime 15 ms [20]. Due to the higher concentration of Tm3+, the emission lifetimes caused by the fluorescence of clustered thulium centers and the tetragonal optical centers are responsible for the longer lifetime 15 ms [11, 20]. It also could be discussed that the emission centers with higher symmetry could extend the emission lifetime of the energy level 3F4 which could benefit the pump efficiency. The shorter emission lifetime means that in the 3 at.% Tm, x at.% Y:CaF2 crystals, [Tm-Tm] clusters take a dominant station affecting the lifetime of 3F4 compared to these tetragonal optical centers. The emission lifetimes of Tm,Y:CaF2 crystals were longer than that of the Tm:CaF2 crystal, indicating clearly that codoping Y3+ ions as buffer ions increase the fluorescence lifetime of Tm ions.Figure 4
Fluorescence lifetimes of energy level3F4 of 3 at.% Tm, x at.% Y:CaF2 crystals.


### 3.3. Calculations for Spectral Parameters

In this session, some spectral parameters including the emission cross sectionσem, the radiation lifetimes τrad, the quantum efficiency η, the quality factorσem∗τem, the effective linewidth Δλ have been calculated to measure the quality of these crystals. The emission cross section σem and the radiation lifetimes τrad have been calculated by the reciprocity method and the Fuchtbauer-Ladenburg (FL) equation, respectively, and the absorption cross sections σabs could be obtained from the absorption spectra in Figure 2(a). (1)σemλ=σabsλZlZuexp⁡hckBT1λZL-1λ,⁡where λZL will be referred to as the “zero line” wavelength (λZL=1666 nm wavelength associated with the transition between the lowest stark components of each multiplet 3H6 and 3F4) and Zl/Zu represents the ratio of the partition functions of the lower and upper states and the value is 1.512 [14].(2)σem=λpeak48πn2Δλ·τrad,where λpeak is the wavelength of the maximum emission intensity (here is 1820 nm) and n stands for the refractive index (the refractive index of calcium fluoride is 1.442 at 1820 nm). We can take advantage of (2) for the value of τrad. In theory, the product of σem and τrad is inversely proportional to Δλ. It indicates that the result of the experiment is nearly in agreement with that of the theory. Equation (2) can also be expressed as(3)σem·τem=λpeak48πcn2·1Δλ·τemτrad=λpeak48πcn2·1Δλ·η,where λpeak4/8πcn2 can be regarded as a constant and η is the quantum efficiency. The calculated results have been shown in Table 1 and Figure 5.Figure 5
τ
r
a
d
∗
σ
e
m and Δλ obtained from 3 at.% Tm, x at.% Y:CaF2 crystals.The emission cross sectionσem varies from 1.026 ∗ 10−20/cm2 to 1.088 ∗ 10−20/cm2. The quantum efficiency of emission at 1820 nm is 58.2%, 63.4%, 63.7%, 69.8%, 80.3% for 3 at.% Tm, x at.% Y (x=0,0.5,1,2,3), respectively. As discussed above, cooping Y ions as buffer ions actually benefit the quantum efficiency increasing the quantum efficiency effectively, indicating that the efficiency of the fluoresce is very sensitive to the cationic coordination [21], and the highest quantum efficiency has been increased to 80.3%.We can see the difference ofΔλ (where Δλ is the effective linewidth which can be obtained by measurement) from Figure 4. The change trend of the effective linewidth at 1820 nm is depicted in Figure 5, which is almost increasing with codoping Y3+ ion concentration. Δλ at 1820 nm is 163.97 nm, 178.16 nm, 187.12 nm, 188.37 nm, 190.52 nm for 3 at.% Tm, x at.% Y:CaF2(x=0,0.5,1,2,3), respectively, behaving the superiority for LD pumping. Compared with single-doped one, the effective linewidth of the codoping crystals increased rapidly, and the trend turns out to be saturated when the concentration of Y3+ grows higher. It indicates that the effect of Y3+ concentration on the effective linewidth causes saturation which is in favor of femtosecond laser output.


### 3.4. Laser Performance

Taking both emission intensity and lifetime into consideration, two samples, 3 at.% Tm:CaF2 and 3 at.% Tm, 3 at.% Y:CaF2, were applied in laser experiments as laser-pumped-amplifier mediums. The size of the crystal is 4 mm × 4 mm × 6 mm and the end faces were optically polished flat and parallel without being coated. The continuous-wave (CW) experiment with a fiber-coupled AlGaAs diode laser as the pump source emitting at 790 nm was carried out at room temperature, and the setup for testing was shown in Figure 6.Figure 6
Schematic of the experimental setup for 1.8μm laser operation.In this experiment, the output mirror transmission is 2%, and the folded cavity consisted of three mirrors: M1, M2, and M3, having the same radium of curvature of 10 cm. The pump light was focused into the crystal through a 1 : 1 optical imaging module. The pump source was provided by a laser diode around 790 nm. The laser output powers of two samples were depicted in Figure7, we obtained two different laser curves. To the sample, 3 at.% Tm, 3 at.% Y:CaF2 crystal, its laser slope efficiency and maximum output power of the crystal are 25.3% and 583 mW with the 2% transmission output coupler, while a lower slope efficiency of 15.9% and maximum output power 159 mW were obtained with 3 at.% Tm:CaF2 crystal. The maximum pump power was limited by the absorption capacity of the 3 at.% Tm:CaF2 crystal. We found its excited state absorption tended to be saturated when the absorbed pump power was over 1.6 W. To avoid damage, the absorbed pump power of 3 at.% Tm:CaF2 was set below 1.6 W corresponding to the incident pump power of 3 W, and the absorbed pump power of 3 at.% Tm, 3 at.% Y:CaF2 crystal was set below 2.5 W corresponding to the incident pump power of 4.5 W.Figure 7
Laser output power versus absorbed pump power curve for 3 at.% Tm:CaF2 and 3 at.% Tm, 3 at.% Y:CaF2 crystals.


## 3.1. Phase Identification and Crystal Structure

3 at.% Tm,x at.% Y:CaF2 crystals (x=0,0.5,1,2,3) have been analyzed by powder XRD and behave the purity phase CaF2 without any impure peaks as shown in Figure 1(a). The XRD patterns of the crystals have matched well with the JCPDS standard card of CaF2 ICSD 00-075-0363 indicating that the fluorite cubic structure (Fm-3 m) has not been changed by the increasing concentration of yttrium. Tm3+ and Y3+ ions substitute for Ca2+ ions in the CaF2 lattice, and smaller F− ions have taken placed in the interstitial positions of the empty cubes to compensate the charge and maintain electrical neutrality leading to the smaller Bragg’s angels and larger lattice parameters which could be distinguished clearly on the enlarged view of (111) in Figure 1(a). The lattice parameters of series of 3 at.% Tm, x at.% Y:CaF2 (x=0.5, 1, 2, 3) single crystals are 5.46785 Å, 5.46947 Å, 5.47535 Å, 5.4763 Å, respectively, much larger than 5.4559 Å of Tm:CaF2, and increase with the rising codoping Y3+ ion concentration as shown in Figure 1(b). These observations confirm that Tm3+ and Y3+ ions had been effectively doped into the host lattice of CaF2.Figure 1
The XRD patterns (a) and lattice parameters (b) of 3 at.% Tm,x at.% Y:CaF2 crystals.
(a)
(b)


## 3.2. Absorption and Emission Properties

The absorption spectra from 500 nm to 2000 nm at room temperature of 3 at.% Tm,x at.% Y are shown in Figure 2(a). Due to various splitting energy levels of 3H6 and 3F4, the absorption bands have been divided into several peaks. Several main absorption bands, 3H6-3F2 (652 nm), 3H6-3F3 (675 nm), 3H6-3H4 (667 nm, 792 nm), 3H6-3H5 (1135 nm, 1206 nm), 3H6-3F4 (1620 nm, 1668 nm), have been marked in the spectra. Clearly, all the absorption cross sections are increased with the Y ions. Additionally, the absorption 3H6-3H4, which is usually used for diode pumping, inset in the picture has been analyzed in detail at 767 nm and 792 nm in the same bands caused by different emission centers, defined as A-center and B-center.Figure 2
Absorption spectra (a) and energy level diagrams (b) of 3 at.% Tm,x at.% Y:CaF2 crystals at 300 K.
(a)
(b)The largest absorption cross section at 767 nm of 3 at.% Tm, 3 at.% Y:CaF2 improves to 0.45 × 10−20 cm−2, much larger than that reported in [14]. On the other side, the absorption cross section at 792 nm decreases gradually from 0.22 × 10−20 cm−2 to 0.12 × 10−20 cm−2 with the increasing Y ions. Y ions play an important role in modulating spectral performance. The absorption spectra of Tm3+ ions can be significantly altered by codoping with Y3+ ions. The changeable absorption cross sections indicate that the local structure and symmetry of the calcium fluoride crystal have been modified by changing the amount of deponent codoping Y3+ ions. The increasing phenomenon could be attributed to the stronger crystal field caused by interstitial F− ions in the lattice induced by the codoped Y3+ separating the [Tm-Tm] clusters, caused by a considerable high doping concentration 3 at.% much larger than 1.34% [11, 19], to an appropriate distance and forming A-centers instead of B-centers. By doping Y3+ ions, B-center has been broken, forming more A-centers as a result. Anyway, it is clear that codoping Tm:CaF2 with Y3+ ions slightly broadens the absorption bands 3H6-3H4, which should be profitable for LD pumping. The broad wavelength tunability indicated an efficient ground-state stark splitting with the introduction of Y3+ ions in the as-grown Tm,Y:CaF2 crystal.The fluorescence spectra of 3 at.% Tm,x at.% Y:CaF2 crystals, corresponding to 3F4-3H6 emission transition of Tm3+ around 1.8 μm, excited by 767 nm are reported in Figure 3. The emission spectra of the five crystals consist of four bands, peaking at 1611 nm (6207 cm−1), 1666 nm (6002 cm−1), 1820 nm (5494 cm−1), 1856 nm (5387 cm−1), respectively. The carves of Tm,Y:CaF2 demonstrate several intense separate local maxima compared to the one of the Tm:CaF2, indicating that the Y3+ ions codoping modulate the emission spectral structure of Tm3+ ions in CaF2 hosts. The emission intensity of 2873 a.u. at 1820 nm of the 3 at.% Tm, 3 at.% Y:CaF2 crystals is 3.4 times higher than that of the 3 at.% Tm:CaF2 crystal (842 a.u.), whose value is the largest above all the samples. As has been discussed in the absorption cross sections, Y3+ codoping breaks the Tm3+ ion clusters and increases the fluorescence quantum efficiency which could also be proved in Table 1. Additionally, the luminescence intensity of the 1.8 μm band is improved by doping Y3+.Table 1
The detailed values ofσabs, σem, τrad, τem, η of 3 at.% Tm, x at.% Y:CaF2 at 1820 nm.
Crystals
σ
a
b
s/cm2
σ
e
m/cm2
τ
r
a
d/ms
τ
e
m/ms
η/%
3 at.% Tm:CaF2
0.063
1.206∗ 10−20
10.58
6.16
58.2
3 at.% Tm, 0.5 at.% Y:CaF2
0.054
1.026∗ 10−20
11.43
7.25
63.4
3 at.% Tm, 1 at.% Y:CaF2
0.057
1.090∗ 10−20
10.24
6.53
63.7
3 at.% Tm, 2 at.% Y:CaF2
0.054
1.026∗ 10−20
10.82
7.55
69.8
3 at.% Tm, 3 at.% Y:CaF2
0.056
1.088∗ 10−20
10.14
8.15
80.3Figure 3
Fluorescence spectra for3F4-3H6 transition of 3 at.% Tm, x at.% Y CaF2 crystals at 300 K.Figure4 shows the logarithm of the emission intensity at 1820 nm of Tm3+ as a function of the decay time in 3 at.% Tm, x at.% Y:CaF2 crystals excited by 767 nm at room temperature. The straight lines indicated that the decay was consistent with a first-order exponential and the emission lifetimes were labelled as arrows. The emission lifetimes were fitted to be 6.16 ms, 7.25 ms, 6.53 ms, 7.55 ms, 8.15 ms for 3 at.% Tm, x at.% Y:CaF2(x=0,0.5,1,2,3), respectively, which is in the order of 5 ms [11] much shorter than the longer lifetime 15 ms [20]. Due to the higher concentration of Tm3+, the emission lifetimes caused by the fluorescence of clustered thulium centers and the tetragonal optical centers are responsible for the longer lifetime 15 ms [11, 20]. It also could be discussed that the emission centers with higher symmetry could extend the emission lifetime of the energy level 3F4 which could benefit the pump efficiency. The shorter emission lifetime means that in the 3 at.% Tm, x at.% Y:CaF2 crystals, [Tm-Tm] clusters take a dominant station affecting the lifetime of 3F4 compared to these tetragonal optical centers. The emission lifetimes of Tm,Y:CaF2 crystals were longer than that of the Tm:CaF2 crystal, indicating clearly that codoping Y3+ ions as buffer ions increase the fluorescence lifetime of Tm ions.Figure 4
Fluorescence lifetimes of energy level3F4 of 3 at.% Tm, x at.% Y:CaF2 crystals.


## 3.3. Calculations for Spectral Parameters

In this session, some spectral parameters including the emission cross sectionσem, the radiation lifetimes τrad, the quantum efficiency η, the quality factorσem∗τem, the effective linewidth Δλ have been calculated to measure the quality of these crystals. The emission cross section σem and the radiation lifetimes τrad have been calculated by the reciprocity method and the Fuchtbauer-Ladenburg (FL) equation, respectively, and the absorption cross sections σabs could be obtained from the absorption spectra in Figure 2(a). (1)σemλ=σabsλZlZuexp⁡hckBT1λZL-1λ,⁡where λZL will be referred to as the “zero line” wavelength (λZL=1666 nm wavelength associated with the transition between the lowest stark components of each multiplet 3H6 and 3F4) and Zl/Zu represents the ratio of the partition functions of the lower and upper states and the value is 1.512 [14].(2)σem=λpeak48πn2Δλ·τrad,where λpeak is the wavelength of the maximum emission intensity (here is 1820 nm) and n stands for the refractive index (the refractive index of calcium fluoride is 1.442 at 1820 nm). We can take advantage of (2) for the value of τrad. In theory, the product of σem and τrad is inversely proportional to Δλ. It indicates that the result of the experiment is nearly in agreement with that of the theory. Equation (2) can also be expressed as(3)σem·τem=λpeak48πcn2·1Δλ·τemτrad=λpeak48πcn2·1Δλ·η,where λpeak4/8πcn2 can be regarded as a constant and η is the quantum efficiency. The calculated results have been shown in Table 1 and Figure 5.Figure 5
τ
r
a
d
∗
σ
e
m and Δλ obtained from 3 at.% Tm, x at.% Y:CaF2 crystals.The emission cross sectionσem varies from 1.026 ∗ 10−20/cm2 to 1.088 ∗ 10−20/cm2. The quantum efficiency of emission at 1820 nm is 58.2%, 63.4%, 63.7%, 69.8%, 80.3% for 3 at.% Tm, x at.% Y (x=0,0.5,1,2,3), respectively. As discussed above, cooping Y ions as buffer ions actually benefit the quantum efficiency increasing the quantum efficiency effectively, indicating that the efficiency of the fluoresce is very sensitive to the cationic coordination [21], and the highest quantum efficiency has been increased to 80.3%.We can see the difference ofΔλ (where Δλ is the effective linewidth which can be obtained by measurement) from Figure 4. The change trend of the effective linewidth at 1820 nm is depicted in Figure 5, which is almost increasing with codoping Y3+ ion concentration. Δλ at 1820 nm is 163.97 nm, 178.16 nm, 187.12 nm, 188.37 nm, 190.52 nm for 3 at.% Tm, x at.% Y:CaF2(x=0,0.5,1,2,3), respectively, behaving the superiority for LD pumping. Compared with single-doped one, the effective linewidth of the codoping crystals increased rapidly, and the trend turns out to be saturated when the concentration of Y3+ grows higher. It indicates that the effect of Y3+ concentration on the effective linewidth causes saturation which is in favor of femtosecond laser output.


## 3.4. Laser Performance

Taking both emission intensity and lifetime into consideration, two samples, 3 at.% Tm:CaF2 and 3 at.% Tm, 3 at.% Y:CaF2, were applied in laser experiments as laser-pumped-amplifier mediums. The size of the crystal is 4 mm × 4 mm × 6 mm and the end faces were optically polished flat and parallel without being coated. The continuous-wave (CW) experiment with a fiber-coupled AlGaAs diode laser as the pump source emitting at 790 nm was carried out at room temperature, and the setup for testing was shown in Figure 6.Figure 6
Schematic of the experimental setup for 1.8μm laser operation.In this experiment, the output mirror transmission is 2%, and the folded cavity consisted of three mirrors: M1, M2, and M3, having the same radium of curvature of 10 cm. The pump light was focused into the crystal through a 1 : 1 optical imaging module. The pump source was provided by a laser diode around 790 nm. The laser output powers of two samples were depicted in Figure7, we obtained two different laser curves. To the sample, 3 at.% Tm, 3 at.% Y:CaF2 crystal, its laser slope efficiency and maximum output power of the crystal are 25.3% and 583 mW with the 2% transmission output coupler, while a lower slope efficiency of 15.9% and maximum output power 159 mW were obtained with 3 at.% Tm:CaF2 crystal. The maximum pump power was limited by the absorption capacity of the 3 at.% Tm:CaF2 crystal. We found its excited state absorption tended to be saturated when the absorbed pump power was over 1.6 W. To avoid damage, the absorbed pump power of 3 at.% Tm:CaF2 was set below 1.6 W corresponding to the incident pump power of 3 W, and the absorbed pump power of 3 at.% Tm, 3 at.% Y:CaF2 crystal was set below 2.5 W corresponding to the incident pump power of 4.5 W.Figure 7
Laser output power versus absorbed pump power curve for 3 at.% Tm:CaF2 and 3 at.% Tm, 3 at.% Y:CaF2 crystals.


## 4. Conclusions

The codoping Y3+ ions Tm:CaF2 crystals were successfully grown by vertical Bridgman method, and the properties of the series crystals were analyzed systematically. Absorption of 3H6-3H4 is caused by A-center at 767 nm and B-center at 792 nm, and the absorption cross section of A-center is increased while the absorption cross section of B-center is decrease by codoping Y3+. Emission intensity and effective linewidth of emission at 1820 nm are greatly improved when the concentration increased to 3 at.%. The quantum efficiency is enhanced to 80.3% by codoping Y3+ ions compared to the undoped crystals. It demonstrates codoping Y3+ ions have a positive effect on spectroscopic properties. In laser experiment, we finally obtained a maximum laser output power of 583 mW and slope efficiency of 25.3% in codoped sample.



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*Source: 8592359-2018-01-30.xml*