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In a multi-optical parametric oscillator by pulse pumping, energy conversion process for 1.57 μm and 3.84 μm parametric light can be expressed by time-dependent wave equations. The split-step integration method is used to solve the equations. By analyzing the simulation results of the output waveform for the multi-optical parametric amplifier, it is confirmed that back conversion and mode competition are the important factors affecting the multi-optical parametric oscillation. The 1.57 μm and 3.84 μm parametric light in an external cavity multi-optical parametric oscillator are simulated under different output mirror transmittances, crystal working lengths and cavity lengths. The conversion efficiency of 1.57 μm and 3.84 μm increase with the output mirror transmittance increasing, which means that the conversion efficiency can be adjusted by changing the parametric light transmittance of the output mirror. There exist an optimal crystal working length and a cavity length in the external cavity multi-optical parametric oscillator. The experiment on external cavity multi-optical parametric oscillator is carried out. The conversion efficiency of 1.57 μm and 3.84 μm parametric light are consistent with the theoretical values. The energy conversion process in the multi-optical parametric oscillator can be simulated by this method, which could be used for optimizing the multi-optical parametric oscillator and increasing the parametric conversion efficiency.
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Keywords:
- multi-optical parametric oscillator /
- split-step integration methods /
- energy conversion /
- MgO:APLN
[1] Huang H T, He J L, Liu S D, Liu F Q, Yang X Q, Yang H W, Yang Y, Yang H 2011 Laser Phys. Lett. 8 358
Google Scholar
[2] Zhang T L, Yao J Q, Zhu X Y, Zhang B G, Li E B, Zhao P, Li H F, Ji F, Wang P 2007 Opt. Commun. 272 111
Google Scholar
[3] Breunig I, Sowade R, Buse K 2007 Opt. Lett. 32 1450
Google Scholar
[4] Wang P, Shang Y P, Li X, Shen M L, Xu X J 2017 IEEE Photon. J. 9 1500107
[5] 常建华, 杨镇博, 陆洲, 董时超 2013 中国激光 40 1002009
Chang J H, Yang Z B, Lu Z, Dong S C 2013 Chin. J. Lasers 40 1002009
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Google Scholar
[7] Chou M H, Parameswaran K R, Fejer M M, Brener I 1999 Opt. Lett. 24 1157
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[8] Kawase K, Hatanaka T, Takahashi H, Nakamura K, Taniuchi T, Ito H 2000 Opt. Lett. 25 1714
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[9] Jin Y W, Cristescu S M, Harren F J M, Mandon J 2014 Opt. Lett. 39 3270
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[10] Klingbeil A E, Jeffries J B, Davidson D F, Hanson R K 2008 Appl. Phys. B 93 627
[11] Smith A V, Gehr R J, Bowers M S 1999 J. Opt. Soc. Am. B 16 609
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[12] Kong Y, Xu Z, Zhou Y, Deng D, Zhu X, Wu L 1998 IEEE J. Quantum Elect. 34 439
Google Scholar
[13] Boller K J, Schroder T 1993 J. Opt. Soc. Am. B 10 1778
Google Scholar
[14] Schroder T, Boller K J, Fix A, Wallenstein R 1994 Appl. Phys. B 58 425
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[15] Fix A, Wallenstein R 1996 J. Opt. Soc. Am. B 13 2484
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[16] Arisholm G 1999 J. Opt. Soc. Am. B 16 117
Google Scholar
[17] Yu Y J, Chen X Y, Cheng L B, Li S T, Wu C T, Dong Y, Fu Y G, Jin G Y 2017 IEEE Photon. J. 9 1500908
[18] 于永吉, 陈薪羽, 成丽波, 王超, 吴春婷, 董渊, 李述涛, 金光勇 2015 64 224215
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Google Scholar
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Google Scholar
Yu Y J, Chen X Y, Wang C, Wu C T, Dong Y, Li S T, Jin G Y 2015 Acta Phys. Sin. 64 044203
Google Scholar
[20] Yu Y J, Chen X Y, Cheng L B, Dong Y, Wu C T, Li S T, Fu Y G, Jin G Y 2017 Opt. Laser Technol. 97 187
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图 1 MgO:APLN的极化结构和相位失配量
Figure 1. Polarization structure and phase mismatch of MgO:APLN.
图 2 外腔MOPO示意图
Figure 2. Schematic diagram of external cavity MOPO.
图 3 多光参量放大器输出波形 (a), (b)抽运光能量为2.25 mJ; (c), (d)抽运光能量为10 mJ
Figure 3. Output waveform simulation of multi-optical parametric amplifier when the pump energy is 2.25 mJ (a), (b) or 10 mJ (c), (d)
图 4 不同输出透过率下外腔MOPO输出波形 (a) M4-1 (1.47 μm@T = 80%); (b) M4-2 (1.47 μm@T = 60%); (c) M4-3 (1.47 μm@T = 40%); (d) M4-4 (1.47 μm@T = 20%)
Figure 4. Output waveform simulation of external cavity MOPO with different output transmittance: (a) M4-1 (1.47 μm@T = 80%); (b) M4-2 (1.47 μm@T = 60%); (c) M4-3 (1.47 μm@T = 40%); (d) M4-4 (1.47 μm@T = 20%).
图 5 不同输出透过率下外腔MOPO转换效率模拟值 (a)输出1.57 μm参量光; (b) 输出3.84 μm参量光
Figure 5. Conversion efficiency simulation values of external cavity MOPO with different output transmittance: (a) Output 1.57 μm parametric light; (b) output 3.84 μm parametric light.
图 6 不同晶体长度下外腔MOPO转换效率模拟值 (a)输出1.57 μm参量光; (b) 输出3.84 μm参量光
Figure 6. Conversion efficiency simulation values of external cavity MOPO with different crystal length: (a) Output 1.57 μm parametric light; (b) output 3.84 μm parametric light.
图 7 不同谐振腔长度下外腔MOPO转换效率模拟值 (a)输出1.57 μm参量光; (b) 输出3.84 μm参量光
Figure 7. Conversion efficiency simulation values of external cavity MOPO with different cavity length: (a) Output 1.57 μm parametric light; (b) output 3.84 μm parametric light.
图 8 不同输出透过率下外腔MOPO输出功率及转换效率 (a) M4-1 (1.47 μm@T = 80%); (b) M4-2 (1.47 μm@T = 60%)
Figure 8. Output power and conversion efficiency of external cavity MOPO with different output transmittance: (a) M4-1 (1.47 μm@T = 80%); (b) M4-2 (1.47 μm@T = 60%).
图 9 不同谐振腔长度下外腔MOPO输出功率及转换效率 (a)腔长160 mm; (b)腔长180 mm
Figure 9. Output power and conversion efficiency of external cavity MOPO with different cavity length: (a) Cavity length of 160 mm; (b) cavity length of 180 mm.
表 1 腔镜膜系参数
Table 1. Cavity mirror parameters.
腔镜 膜系 腔镜M3 1064 nm@HT, 1.47 μm/
1.57 μm/3.3 μm/
3.84 μm@HR腔镜M4
(1064 nm/3.3 μm
@HR, 1.57 μm@T=40%,
3.84 μm@HT)1) 1.47 μm@T = 80%; 2) 1.47 μm@T = 60%; 3) 1.47 μm@T = 40%; 4) 1.47 μm@T = 20% 
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[1] Huang H T, He J L, Liu S D, Liu F Q, Yang X Q, Yang H W, Yang Y, Yang H 2011 Laser Phys. Lett. 8 358
Google Scholar
[2] Zhang T L, Yao J Q, Zhu X Y, Zhang B G, Li E B, Zhao P, Li H F, Ji F, Wang P 2007 Opt. Commun. 272 111
Google Scholar
[3] Breunig I, Sowade R, Buse K 2007 Opt. Lett. 32 1450
Google Scholar
[4] Wang P, Shang Y P, Li X, Shen M L, Xu X J 2017 IEEE Photon. J. 9 1500107
[5] 常建华, 杨镇博, 陆洲, 董时超 2013 中国激光 40 1002009
Chang J H, Yang Z B, Lu Z, Dong S C 2013 Chin. J. Lasers 40 1002009
[6] Wei X, Peng Y, Wang W, Chen X, Li D 2011 Appl. Phys. B 104 597
Google Scholar
[7] Chou M H, Parameswaran K R, Fejer M M, Brener I 1999 Opt. Lett. 24 1157
Google Scholar
[8] Kawase K, Hatanaka T, Takahashi H, Nakamura K, Taniuchi T, Ito H 2000 Opt. Lett. 25 1714
Google Scholar
[9] Jin Y W, Cristescu S M, Harren F J M, Mandon J 2014 Opt. Lett. 39 3270
Google Scholar
[10] Klingbeil A E, Jeffries J B, Davidson D F, Hanson R K 2008 Appl. Phys. B 93 627
[11] Smith A V, Gehr R J, Bowers M S 1999 J. Opt. Soc. Am. B 16 609
Google Scholar
[12] Kong Y, Xu Z, Zhou Y, Deng D, Zhu X, Wu L 1998 IEEE J. Quantum Elect. 34 439
Google Scholar
[13] Boller K J, Schroder T 1993 J. Opt. Soc. Am. B 10 1778
Google Scholar
[14] Schroder T, Boller K J, Fix A, Wallenstein R 1994 Appl. Phys. B 58 425
Google Scholar
[15] Fix A, Wallenstein R 1996 J. Opt. Soc. Am. B 13 2484
Google Scholar
[16] Arisholm G 1999 J. Opt. Soc. Am. B 16 117
Google Scholar
[17] Yu Y J, Chen X Y, Cheng L B, Li S T, Wu C T, Dong Y, Fu Y G, Jin G Y 2017 IEEE Photon. J. 9 1500908
[18] 于永吉, 陈薪羽, 成丽波, 王超, 吴春婷, 董渊, 李述涛, 金光勇 2015 64 224215
Google Scholar
Yu Y J, Chen X Y, Cheng L B, Wang C, Wu C T, Dong Y, Li S T, Jin G Y 2015 Acta Phys. Sin. 64 224215
Google Scholar
[19] 于永吉, 陈薪羽, 王超, 吴春婷, 董渊, 李述涛, 金光勇 2015 64 044203
Google Scholar
Yu Y J, Chen X Y, Wang C, Wu C T, Dong Y, Li S T, Jin G Y 2015 Acta Phys. Sin. 64 044203
Google Scholar
[20] Yu Y J, Chen X Y, Cheng L B, Dong Y, Wu C T, Li S T, Fu Y G, Jin G Y 2017 Opt. Laser Technol. 97 187
Google Scholar
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