# Rod-Type Ce/Cr/Nd : YAG Ceramic Lasers with White-Light Pump Source

Authors: T. Saiki; T. Iwashita; J. Sakamoto; T. Hayashi; T. Nakamachi; Y. Fujimoto; Y. Iida; M. Nakatsuka
Journal: International Journal of Optics
 (2022)

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## Abstract

Ceramic is promising for use as a solid-laser material pumped with solar or lamp light. We developed a Cr3+ ion doped Nd : YAG ceramic laser that converts white light into near-infrared laser light more efficiently. Investigation of its optical properties has revealed that large gain can be realized with excitation power that is one order of magnitude less than that in the case of Nd : YAG. Ce3+ ion doping also makes it possible to utilize the excitation light components with wavelengths of 350 nm or less, preventing generation of color centers. A rod-type Ce3+/Cr3+/Nd : YAG ceramic pumped by white light such as solar light or flash lamp light was developed. Fluorescence lifetime of ceramic was measured. Laser oscillations at free running mode were observed. Also, numerical calculation for output laser power and gain at lasing threshold was performed. Fluorescence lifetime increased as temperature rose, which was observed in Cr/Nd : YAG ceramic. This increase suggests the existence of a cross-relaxation effect. Maximum output laser energy of 73 mJ with the peak power of 330 W was obtained. Obtained output laser energy was around twice more than that in case of Cr3+/Nd : YAG ceramic with the same Nd and Cr ion concentration.


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## Body

## 1. Introduction

Solar power can be directly transformed into laser light with high efficiency, and many lasers pumped by solar light or lamp light have been researched in the United States, Germany, Russia, and Israel [1–5].Examples of applications are in space solar power systems (SSPS) [6–8]. Research on space solar power stations (SSPSs) has been performed to develop the use of solar energy in space. Laser light can be transmitted over a long distance and converted into electrical energy with high efficiency by a photo-electric conversion element [7–9].We have also proposed an energy cycle using solar-pumped lasers and metals [10–12]. We are conducting research on how to convert solar light into coherent pulsed laser light to produce metal nanoparticles [13, 14]. Renewable energy can be produced using the difference in chemical potential energy between metal and metal oxide. In the production of renewable energy, metal nanoparticles are efficiently produced at a low cost and in less time by using a highly repetitive kHz pulse laser light generated using solar power [12, 15].Metal nanoparticles are components of nano-inks and nano-pastes for printed electronics that are used to produce electrical and electronic circuits at low temperature, low cost, and in a short time, and they are currently receiving attention [16]. Metal nanoparticles can also be applied to a special metal body with nano-structure. Metal nanoparticles have a wide variety of applications.Lasers employing a lamp light source have been used in industrial products [17–19]. A high peak power and a high energy of lamp light can be generated easily and can be used for pumping laser materials. Currently, Nd3+/Cr3+ : YAG ceramics are promising as laser materials for lamp light or solar light pumping [13, 19, 20]. Nd/Cr : YAG ceramic lasers that have pure Cr3+ ions were developed at the first time [19]. Many optical properties of Nd/Cr : YAG ceramic laser were investigated [13, 19–37]. Subsequently, many laser systems with Nd/Cr : YAG ceramics pumped by lamp light and solar light were reported [4, 13, 20, 29, 32, 33, 35, 37, 38]. We have also proposed a solar-pumped laser system with active-mirror amplifiers for SSPSs. CW 1-kW-output lasers for a Nd/Cr3+ : YAG ceramic multi-amplifier system using multistage active-mirror amplifiers with high optical-optical conversion efficiency of over 50% will be achieved by solar light pumping when the temperature of a ceramic disk is over 100°C [38].On the other hand, Ce-doped Nd : YAG lasers have been developed [39–45]. Laser oscillation with end-side solar pumping has been performed. A multi-mode 40 W laser output has already been obtained for near 1 m2 area of the solar irradiation. An improvement on conversion efficiency compared to Nd/Cr : YAG was confirmed [43]. Side-pumping using A light guide with solar light pumping improves the uniformity of the absorption [42]. The most efficient conversion efficiency from solar light to laser (conversion efficiency of 4.64%, collection efficiency of 41.25 W/m2) by using Ce/Nd : YAG has been reported [44]. Also, a slope efficiency of 7.64% for using multi-Ce/Nd : YAG rod and 4.5% for using a single Ce/Nd : YAG rod has been achieved [45].Ce3+/Cr3+/Nd3+ : YAG ceramic laser material was developed recently [46–48]; the solar light components with wavelengths of 350 nm or less could not be effectively used by Cr ion doping [46]. Co-doping Ce ion is expected to prevent color center generation and improve conversion efficiency for ultraviolet components.In this paper, the temperature dependence of the fluorescence lifetimes of the Nd ions in a Ce/Cr/Nd : YAG ceramic was newly investigated. Also, the oscillation property of a Ce/Cr/Nd : YAG ceramic laser under white light pumping was investigated. Numerical calculation for output laser power and gain at lasing threshold was performed.


## 2. Ce/Cr/Nd : YAG Ceramic Laser

Nd/Cr : YAG crystals were developed in 1964 [2], but the crystals were not perfectly grown with low uniformity of Cr3+ and had an optical loss. In 1995, Ikesue et al. reported the first fabrication of Nd/Cr : YAG ceramic. An improved lifetime of the Nd-upper level for Nd/Cr : YAG powder was reported by Nakatsuka et al. [19]. Excited Cr3+ ions strongly enhance the population inversion at the Nd3+ upper level.Nd/Cr : YAG ceramics have many advantages for optical property when compared with Nd : YAG single crystal. Ceramics have a remarkable advantage that Cr3+ ions can be doped at a higher level than a single crystal with reducing Cr4+ ions.Some Nd/Cr3+ : YAG ceramic lasers adapted for white-light pumping (such as by solar light) have been developed [13, 20, 38]. The laser material can convert white light to laser light with high optical-optical conversion efficiency, and the lasers can work at temperatures over 100°C. Phonons of Cr ions assist with the transfer of energy. A part of the thermal energy in the ceramic converts the transferred energy to laser light when the cross-relaxation effect occurs owing to the structure of the energy levels of Cr and Nd ions [21, 24, 25, 38]. Additionally, because the spectral bandwidth of fluorescence at 1064 nm is wider than that of Nd : YAG, a decrease in laser gain due to the spectral peak shift barely occurs [24]. The energy transfer between Cr ions and Nd ions has been described in detail [21, 26, 29, 32, 33, 38]. The enhancement of the laser gain and the effective fluorescence lifetime at increased temperatures owing to the excitation of two Nd ions and re-absorption by Nd ions have already been observed [21, 25].The energy diagram of Ce3+/Cr3+/Nd3+ : YAG ceramic laser is shown in Figure 1. In the mechanism of absorption and emission from the Cr3+ : YAG crystal, the interaction between the energy levels of excited Cr ions and phonons in the YAG lattices (which is called electron-phonon coupling) is very important and results in the broadening of the energy level. Cr ions at the two vibronic states excite the Nd ions at the ground level.Figure 1
Energy diagram of Ce/Cr/Nd : YAG ceramic laser.Two processes exist in the cross-relaxation for the Cr/Nd : YAG ceramic. The first process is independent of the temperature of the laser medium. In the transition from the4P1/2 and 4I9/2 states to the 4F3/2 state, cross-relaxation occurs. The second process is important and dependent on the temperature of the laser medium. Additionally, in the transition from the 4G3/2 and 4I11/2 states to the 4F3/2 state, cross-relaxation occurs [21]. It is remarkable that cross-relaxation occurs around the temperature at which the laser system changes because a single photon of absorbed solar light is converted to two output photons. Here, endothermic reaction should be occurred in the Cr/Nd : YAG ceramic because thermal energy to excite is converted to photon energy [21].Ce3+/Cr3+/Nd3+ : YAG ceramic laser material and its optical properties were reported by Fujioka et al. [46]. The sensitizing effect of Ce/Cr/Nd : YAG was four times more than that of Cr/Nd : YAG. Optimized sensitizing effect of Ce/Cr/Nd : YAG material for solar-pumped solid-state lasers using the sol-gel synthetic YAG powder method was investigated [46, 48]. It was found that the most efficient composition of Ce/Cr/Nd : YAG is where Ce3+ and Cr3+ were 0.9 and 8.0 mol% under solar light pumping, respectively, when the Nd3+ concentration was 1.0 mol%. Ce3+ ion can transfer efficiently to Nd3+ in Ce/Cr/Nd : YAG ceramics.


## 3. Theory for Laser Oscillation

Here, we describe the calculation method for output laser power and gain at lasing threshold of Ce/Cr/Nd : YAG ceramic laser and Cr/Nd : YAG ceramic laser.The gainG, small signal gain coefficient g0l, and inversion population of the laser medium Ninv are calculated as(1)G=expg0l=expσLNinv,and(2)Ninv=ΔN⋅τR,where l is the length of the rod, ΔN is the pump rate per unit volume, and τR is the fluorescence lifetime of the laser medium. The population inversion density at the lower level of Nd ion is omitted. The ΔN is calculated as(3)ΔN=ηqd⋅ηe⋅ηa⋅PinAs⋅hC/λL,where ηqd is the quantum defect between excitation wavelength and lasing wavelength. ηe is the emission efficiency of Nd ion. ηa is the absorption ratio of the excitation lamp light. Pin is the power of the excitation lamp light. As is the effective excitation cross section. λL is the lasing wavelength.Equation (4) gives the condition for laser oscillation:(4)Gt2R2γA=1,where Gt is the gain at lasing threshold; R2 is the reflectivity of the output mirror; γ is the cavity efficiency with considering diffraction loss. A is the ratio of area for spontaneous emission component on optical axis. It calculated by using the following equation:(5)A=d22n⋅tanθ⋅Lcav2,tanθ=d2l.Here,d is the cross-sectional width of the rod, and Lcav is the length of the resonator. θ is the fluorescence divergence solid angle. The gain (including ASE) of the laser rod at the oscillation threshold can be calculated by using the following equations:(6)Gt=expg0l.(7)g0=σs′εΔN,ε=ε01+g0/α.σ
s
′ is the effective stimulated emission cross section of YAG ceramic, and α is the damping coefficient by ASE. ε is the energy storage rate considered from the fluorescence lifetime and temporal duration of excitation light.The CW output laser power for a microchip laser is calculated as given by equation (8) [49].(8)Pout=g0L−β⋅T⋅Isat⋅As,where As is the effective pumping cross section, L is the loss of light in the laser cavity, T is 1−R2, where R2 is the reflectivity of the output mirror, Isat is the total fluorescence power in the laser cavity, and A is the coupling ratio of the initial fluorescence to the cavity.β is a variable related to lasing threshold. In the case of the laser oscillation by CW excitation, β is set to be 1. The reason for setting β is that the excitation time in this experiment is remarkably shorter and the number of the population inversion is lower than that of CW excitation.Also, we considered the amount of light entering the rod and the transmittance of light on the surface. The lamp light travels in the 2π direction, but the part actually absorbed by the rod is 1/4 when the solid angle is taken into consideration. The one-sided transmittance of the laser rod was set to 0.9. Quantum deficiency due to the difference between the excitation wavelength and the laser oscillation wavelength is 0.64. The emission efficiency was 1. The absorption rate was set. When the electric input energy to the Xe lamp was calculated as 8.5 J at the maximum. Here, the peak power should be 500 W. Since it is compressed in time, the calculation was performed by doubling the excitation power of the lamp light, the excitation power was set to be 1100 W at the maximum. The electro-optical conversion efficiency of the Xe flash lamp was 16%.The parameters for calculation are shown in Table1.Table 1
Parameters for calculation.
Lasing wavelength
λ
L = 1064 nm
Transmittance@ 1064 nm
T
rod = 99%
Rod length
l = 3 cm
Effective saturation power [21]
I
s = 98 W/cm2
Effective stimulated emission cross section [21]
σ
s
′ = 2.0 × 10−18 cm2
Absorption efficiency of lamp light
Ce, Cr, and Nd doping
0.65
Ce, Cr, and Nd doping
0.42
Refractive index
1.83
Cavity length
10 cm
Diffraction efficiency
γ = 0.9
Emission efficiency
η
e = 1
Quantum defect
η
qd = 0.64
Cross-sectional width of ceramic rod
d = 5 mm


## 4. Experimental Setup

The solar spectrum and the output of the Xe flash lamp used for excitation are shown in Figure2.Figure 2
Spectrum of solar light and Xe flash lamp light.It was found that the color temperature of the output spectrum of the solar light and the Xe flash lamp used for excitation is about the same as 6000 K. Each peak wavelength is around 500 nm. A photograph of the rod-type Ce/Cr/Nd : YAG ceramic (Kounoshima Co. Ltd., Japan) are shown in Figure3. The spectrums were measured using a spectrometer (USB4000: Ocean Photonics). When Cr ion is doped in YAG, the color is light green. The color changed to be green mixed with yellow. The color of YAG turns into yellow when Ce is doped. The transmittance of the Ce/Cr/Nd : YAG ceramic (Kounoshima Co. Ltd., Japan) for wavelength is shown in Figure 4. The transparency of the YAG ceramic was also measured using a spectrometer (USB4000: Ocean Photonics).Figure 3
Rod-type Ce/Cr/Nd : YAG ceramic.Figure 4
Transparency of Ce/Cr/Nd : YAG ceramic. The thickness is 5 mm.The absorption band of Ce ion and the absorption band created by Cr ion overlap at around 500 nm. The spectral peak of both the solar and the flash lamp light is 500 nm. The spectral matching makes it possible to absorb excitation light just efficiently.Fluorescence lifetime of the ceramic was measured by using a high-resolution fluorescence spectroscopy instrument (JASCO, SS-25, Japan).The temperature dependence of the fluorescence lifetime of Nd ions in Ce/Cr/Nd : YAG ceramic was measured. We measured the fluorescence intensity time variation of Nd ions in the excitation light of 350, 470, 590, 750, and 810 nm. These five excitation wavelengths were chosen because the absorption ratios of the solar light are high.Furthermore, at the fixed excitation light of 590 nm, the temperature dependence of the Nd ion fluorescence lifetime on the Ce/Cr/Nd : YAG ceramic was measured. A ceramic heater was attached to the ceramic laser medium to measure the temperature dependence of the fluorescence lifetime and raise the medium temperature from 25°C to 95°C in 10°C steps.The setup of the experiment for laser oscillation is shown in Figure5. The rod-type Ce/Cr/Nd : YAG ceramic (shown in Figure 3) was used in this experiment. The size of the used ceramic rod was 5 mm × 5 mm × 49 mm length. HR coating and AR coating at the laser wavelength of 1064 nm were done on both surfaces of the ceramic rod. We used a Xe flash lamp as the pumping source. The electrical input energy of this lamp, which is stored in a capacitor as electrical energy, was 8.5 J, and the color temperature was 6000 K. The concentrations of Nd, Cr, and Ce ions were 1, 0.1, and 0.2 atm.%, respectively.Figure 5
Experimental setup for laser oscillation.We set up a rate equation for a Ce ion, Cr ion, and Nd ion, did a computer simulation, and estimated the ceramic level density on the laser Nd ion, fluorescence lifetime of Nd ion, and amplifying characteristics [48]. In the results of the calculation, by comparing the cases in which Ce was not added and 0.1% Ce was added, 0.1% Ce was found to double the laser output laser power. The concentrations of Nd, Cr, and Ce were 1, 0.1, and 0.2 atm.%, respectively. In the experiment, the Ce/Cr/Nd : YAG ceramic rod was pumped at a room temperature of 25°C.The cavity length was chosen to be 10 cm. The pulse duration of the pumping Xe flash lamp light was 550μs. The reflectivities of the output couplers were 80%, 90%, and 95%.


## 5. Results

Measured fluorescence decays of Nd ion by an PIN diode and an oscilloscope as the excitation wavelength of Ce/Cr/Nd : YAG ceramic laser media increases are shown in Figure6. Fluorescence decays were observed with the excitation wavelength is fixed to be 590 nm. The fluorescence lifetime was observed to be longer than that of the Nd : YAG laser materials. The evaluated fluorescence lifetime of the Ce/Cr/Nd : YAG ceramic laser media was over 800 μs due to the excited Cr ion. When the excitation light is absorbed by Ce ion, it has three decay components for fluorescence emitted from Nd ion. Here, we analyzed and evaluated the longest component, which is especially related to the population inversion. The fluorescence was observed at different excitation wavelengths by exciting Ce or Cr ion. When comparing the fluorescence lifetime of Ce/Cr/Nd : YAG ceramic and Cr/Nd : YAG ceramic, the longer fluorescence lifetime is due to the absorption band of Ce and Cr ions, as mentioned above. They overlap around 500 nm. Thus, two paths for energy transfer exits. One is the energy transition from Cr ion to the Nd ion and another is the energy transition from the Ce ion to the Nd ion. The energy transition time from Ce ion to Nd ion is very fast, but the energy transition time from Ce ion to Nd ion is slow and 0.5 ms [19].Figure 6
Measured fluorescence decay.The measurement results of the temperature dependence on the fluorescence lifetime of the Nd ion for a Ce/Cr/Nd : YAG ceramic laser media are shown in Figure7. For comparison, we also show measurement results of that for a Cr/Nd : YAG ceramic laser media. The evaluated fluorescence lifetime increased as temperature rose, which is the same as with Cr/Nd : YAG ceramic. In both ceramic, the fluorescence lifetime increases at the temperatures of over 65°C.Figure 7
Dependence of temperature on fluorescence lifetime.This increase of the fluorescence lifetime suggests the existence of a cross-relaxation effect [21, 25, 38]. The increase occurs by the reabsorption of the Nd ions in the lower level and exciting them to the upper level [25].The temporal waveform of the Xe flash lamp light and the output laser pulse are shown in Figure8. The lasing wavelength was 1064.1 nm. The temporal duration of the Xe flash lamp light was 0.56 ms, and the temporal duration of the laser pulse was 0.23 ms as shown Figure 8(a). The obtained temporal duration was the same in the case of the Cr/Nd : YAG ceramic laser.Figure 8
Temporal waveform. (a) Xe flash lamp light. Pulse duration: FWHM 0.55 ms. (b) Output laser pulse. Pulse duration: FWHM 0.23 ms.
(a)
(b)Measured output laser energy of the rod-type Ce/Cr/Nd : YAG ceramic laser by single shot is shown in Figure9.Figure 9
Measured output laser energy. (a) Cr/Nd : YAG ceramic laser. (b) Ce/Cr/Nd : YAG ceramic laser.
(a)
(b)The obtained maximum output laser energy of the Ce/Cr/Nd : YAG ceramic laser was 74 mJ when the reflectivity of the output coupler was 90%.The lasing thresholds of the electrical input energies were 2.2, 2.4, and 3 J when the reflectivities of the output couplers were 95, 90, and 80%, respectively. The obtained maximum output laser energy of the Cr/Nd : YAG ceramic laser was 40 mJ when the reflectivity of the output coupler was 90%. Thresholds for lasing of the electrical input energies were 3.3, 3.7, and 4 J when the reflectivities of the output couplers were 95, 90, and 80%, respectively.The lasing threshold of Ce/Cr/Nd : YAG ceramic laser was improved by doped Ce ion. Regarding the laser output, whenR was 90% and the electrical excitation energy was 7.5 J−8.2 J, an increase in laser output energy due to cross-relaxation effect was observed.Large gain was evaluated by using the lasing threshold. The calculation was performed using equations (4)–(7). The analysis results are shown in Figure 10. The solid line is the calculated large gain with considering ASE loss, and the dotted line is the calculated large gain without considering ASE loss. The reason why the laser oscillation threshold is large is that the laser gain is suppressed to a low level by ASE loss.Figure 10
Calculated laser gain at lasing threshold.For Ce/Cr/Nd : YAG ceramic laser, whenR were 95%, 90%, and 80%, the laser gain was evaluated to be 16, 17, and 18 for the excitation electrical input energy of 2.2, 2.4, and 3 J. For Cr/Nd : YAG ceramic laser, when R were 95%, 90%, and 80%, the large laser gain was evaluated to be 16, 17, and 18 for the excitation electrical input energy of 3.3, 3.7, and 4 J.Laser oscillations of the Nd : YAG lasers could not be obtained because of the low laser gain at these pumping energy levels.In order to evaluate whether the peak power value obtained from the experiment at the time of laser oscillation is appropriate, a computer analysis of the peak intensity was performed. The results are shown in Figure11. The calculation was performed using equations (1)–(3) and (8). β was set to be 115, 60, and 45 for each of R = 95%, 90%, and 80% when Ce/Cr/Nd : YAG ceramic was used.Figure 11
Calculated output laser peak power. (a) Cr/Cr/Nd : YAG ceramic laser. (b) Ce/Nd : YAG ceramic laser.
(a)
(b)β was set to be 120, 60, and 30 for each of R = 95%, 90%, and 80% when Cr/Nd : YAG ceramic was used. The output laser peak power obtained by the experiment and computer analysis were in good agreement.A comparison of the laser output peak power by experiment for the reflectivity of output coupler and the calculated results is shown in Figure12. The optimum reflectance for both ceramic laser was 90%. The peak power is higher than the calculated value, which is due to the above-mentioned cross-relaxation effect. The effect is not included in calculation. It was considered that the number of population inversion in the case of the Ce/Cr/Nd : YAG ceramic laser increased 1.4 times compared to the case without cross-relaxation. Also, the number of population inversion increased 1.3 times compared to the case without cross-relaxation in the case of Ce/Cr/Nd : YAG ceramic.Figure 12
Dependence of mirror reflectivity on output laser peak power.


## 6. Discussion

We obtained laser oscillation of a rod-type Ce/Cr/Nd : YAG ceramic laser. When the reflectivity of the output coupler was 90%, the measured maximum output laser energy was 73 mJ and averaged laser power was 330 W. In an experiment on rod-type laser oscillation, it was possible to reach laser oscillation with the same low excitation power as that needed to reach it with a Cr/Nd : YAG ceramic laser. Scattering at the laser oscillation wavelength for Ce/Cr/Nd : YAG ceramic was small, and the transmittance was very high.The calculated laser small signal gain at lasing threshold is to 20 times, which is sufficiently high. A color center due to ultraviolet irradiation of Ce/Cr/Nd : YAG ceramic was not found after the laser oscillation experiment. The maximum conversion efficiency from the excitation light to laser was estimated to be 30%.Here, the problems of the laser oscillator are mentioned below. It has been considered that optimization of the doped Ce ion is still inappropriate. Because Ce ion has a high absorption coefficient compared to other materials, the doped density is still too large. The doped density should to be below 0.1 atm.% to reduce the thermal load. Absorption should deviate to the surface and it will cause thermal problems. In this experiment, the laser oscillation is basically a single shot, there are no thermal problems such as the thermal lens effect. Thermal problems should occur when CW excitation or repeated excitation is performed. Absorption of the lamp light for Cr/Nd : YAG ceramic is not enough due to the thin thickness. If the thickness of Cr/Nd : YAG ceramic should be increased to 1 cm, the absorption rate increases and the conversion efficiency should be good. In that sense, the active-mirror-type laser seems to be the most suitable. This laser material is a special because it can operate with high efficiency even at nearly 200°C. The optical conversion efficiency from lamp light ot laser for Ce/Cr/Nd : YAG ceramic is estimated to be up to 26%. Also, the optical conversion efficiency from lamp light of laser for Cr/Nd : YAG ceramic is estimated to be up to 14%.At present, a problem exists in the configuration of the laser oscillator. Especially for the excitation method, the laser rod is pumped from the side surface. However, the surface is a scratched surface to prevent the parasitic oscillation. Furthermore, because the flash lamp is set close to the rod, the lamp light is absorbed with spreading, and the excitation light pass through from the side surface of the rod, and the absorption of the lamp light degrade.The pulse duration of the lamp light for excitation is shorter than the lifetime of Nd ion. A long pulse with a temporal duration of 5 ms or more should be used to excite the laser rod in order to improve the lasing threshold. In the case of CW excitation using such as solar light, laser oscillation should be obtained sufficiently with an excitation power of below 100 W.It has been found that the cross-relaxation occurs because the temperature of the material reaches a high temperature instantaneously due to the excitation of the Xe flash lamp in a very short time. This phenomenon seems to be difficult to consider in computer simulations because the instantaneous temperature is unknown.Here, we consider the advantages and disadvantages between Ce/Cr/Nd : YAG ceramics and Ce/Nd : YAG.(1)
The difference for absorption of excitation light. Ce has absorption of 400–500 nm. Cr has an absorption band at 500–700 nm. The laser materials have different defects that they cannot absorb specific wavelengths.(2)
The fluorescence life time and effective stimulated emission cross-section: the increase in fluorescence lifetime does not occur with the addition of Ce and is the same as Nd : YAG. Same sensitization as Cr/Nd : GSGG. The effective fluorescence lifetime increases only when excited Cr ion is excited. And, increment in effective stimulated emission cross-section. They introduce the improvement on the laser gain and the oscillation threshold.(3)
Ce doping does not cause cross-relaxation. Conversion efficiency is reduced. Only conversion efficiency of less than 40% can be achieved.In the experimental results by solar light pumping, the conversion efficiency of Ce/Nd : YAG laser is higher than that of Nd/Cr : YAG laser [35, 38, 44]. The excitation power is considered to be high, the thermal load increases, and the number density of the lower level of Nd ions increases. Thus, the advantage of Cr ion doping should vanish. In other reports, the output laser power of solar-pumped Nd/Cr : YAG composite laser excited at a low solar power of several Watts was improved eight times by increasing the Cr ion doping. The conversion efficiency has been approached to 30% [33].We compared them, we consider that Cr ion doping in Nd : YAG is superior than Ce doping.Cross-relaxation does not occur between Ce ion and Nd ion. It occurs only between Cr ion and Nd ion. The reasons are as follows:(1)
For energy level of Nd ion, only two-level excitation can occur cross-relaxation. There are only two levels,4P1/2 and 4G3/2, in order to excite the basis and lower levels of Nd ions by the re-absorption process. Because the Ce ion has electron-phonon coupling energy band at a higher energy position of 23000 cm−1 or higher, the above two energy level cannot be excited. In this fluorescence lifetime measurement, we just reconfirmed in this experiment. As proof of this, only a linear increase in output laser energy has been obtained in the flash-lamp laser oscillation experiments using a flat resonator and Ce/Nd : YAG as shown in Reference [39]. It is different from the results of output laser energy of the Cr/Nd : YAG ceramic laser in experiments that we have obtained the data in the past.(2)
The temperature property of the fluorescence lifetime in this experiment is shifting to a higher temperature because the temperature that starts to increase is rather deteriorated. This indicates that the population number density at the lower level that are excited by reabsorption excitation is small. If the Ce ion has a mechanism that causes cross-relaxation, the temperature at which the increase starts should be at the same or lower position. The addition of Ce increases the overall fluorescence lifetime. It is considered that this is because the light of 590 nm is divided and absorbed by Ce and Cr. Since the absorbed energy of Ce is transferred to Nd, it is considered that Cr and Nd ions are excited at the same time and the lifetime is extended to nearly 1 ms.Until now, cross-relaxation effect, such as an increase in the temperature characteristics of the fluorescence lifetime, for the Ce/Nd : YAG laser is not reported in the past.


## 7. Conclusion

We had obtained laser oscillation of rod-type Ce/Cr/Nd : YAG ceramic laser.Measured maximum output laser energy was 73 mJ with the peak power of 330 W when the reflectivity of the output coupler was 90%. The output laser energy was improved by doped Ce ion. We obtained 1.8 times high output laser energy for the Ce/Cr/Nd : YAG ceramic laser than that in the case of the Cr/Nd : YAG ceramic laser.


## 8. Disclosure

Part of this study was performed as joint research with the Institute of Laser Engineering, Osaka University.



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