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The nonlinear wavelength conversion can generate the laser wavelengths which are not directly available, thereby broadening the laser spectrum range. However, the phase mismatch greatly limits the development and application of nonlinear optical technology. The wavelength conversion schemes in a manner analogous to population transfer in atomic rapid adiabatic passage, stimulated Raman adiabatic passage (STIRAP), and Stark chirped rapid adiabatic passage (SCRAP) provide feasible solutions for efficient and broadband wavelength conversion. The SCRAP uses the Stark shift caused by the Stark field to generate energy level crossings, therefore, the population in initial state can be efficiently converted into the target state. It does not require the two-photon resonance, and can be applied to multi-photon transition. In this paper, by approximate analogy to the adiabatic population theory, a wavelength conversion model with the KTP crystals based SCRAP is established, the influence of the coupling delay parameters, width parameters, pump intensity, temperature, and incident wavelength on the conversion process are systematically studied. The results show that the signal laser energy can be almost converted into output laser energy, while the intermediate laser energy is kept extremely low in the conversion process. The conversion process is sensitive to changes in coupling delay parameters, width parameters, and pump intensity. The farther away fromits optimal value the coupling delay parameter, the lower the conversion efficiency is. When the width parameter
$ d_2^2 $ is fixed, as the width parameter$ d_1^2 $ increases, the conversion efficiency first increases to a maximum value, and then slowly decreases. At the same time, the greater the value of the width parameter$ d_2^2 $ , the greater the achievable maximum conversion efficiencies, and the greater the bandwidth that can achieve high-efficiency wavelength conversion. The conversion efficiency increases as the pump intensity increases. When the conversion efficiency value reaches a maximum value, the increase in pump intensity has almost no effect on the conversion efficiency. However, changes in temperature and incident wavelength have little effect on the conversion efficiency. The above research can provide a theoretical basis for the acquisition of ultraviolet to mid-infrared light sources and the manufacture of photonic devices.[1] Stolen R H, Bjorkholm J E, Ashkin A 1974 Appl. Phys. Lett. 24 308
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[2] Chang J H, Mao Q H, Feng S J, Gao X M, Xu C Q 2010 Opt. Lett. 35 3486
Google Scholar
[3] Zhong H Z, Zhang L F, Li Y, Fan D Y 2015 Sci. Rep. 5 10887
Google Scholar
[4] Margules P, Moses J, Suchowski H, Porat G 2021 J. Phys. Photonics 3 022011
Google Scholar
[5] Sasaki Y, Yuri A, Kawase K, Ito H 2002 Appl. Phys. Lett. 81 3323
Google Scholar
[6] Huang J T, Rao Z M, Xie F S 2019 Opt. Express 27 17199
Google Scholar
[7] Li Y Y, Yesharim O, Hurvitz I, Karnieli A, Fu S H, Porat G, Arie A 2020 Phys. Rev. A 101 033807
Google Scholar
[8] Chen B Q, Zhang C, Hu C Y, Liu R J, Li Z Y 2015 Phys. Rev. Lett. 115 083902
Google Scholar
[9] Chen B Q, Hong L H, Hu C Y, Zhang C, Liu R J, Li Z Y 2018 J. Opt. 20 034009
Google Scholar
[10] Suchowski H, Oron D, Arie A, Silberberg Y 2008 Phys. Rev. A 78 063821
Google Scholar
[11] Ding X Y, Heberle D, Harrington K, Flemens N, Chang W Z, Birks T A, Moses J 2020 Phys. Rev. Lett. 124 153902
Google Scholar
[12] Ding X Y, Habib M S, Amezcua-Correa R, Moses J 2019 Opt. Lett. 44 1084
Google Scholar
[13] Bahar E, Ding X Y, Dahan A, Suchowski H, Moses J 2018 Opt. Express 26 25582
Google Scholar
[14] Mrejen M, Erlich Y, Levanon A, Suchowski H 2020 Laser Photonics Rev. 14 2000040
Google Scholar
[15] Porat G, Arie A 2012 J. Opt. Soc. Am. B 29 2901
Google Scholar
[16] Porat G, Silberberg Y, Arie A, Suchowski H 2012 Opt. Express 20 3613
Google Scholar
[17] Rickes T, Marangos J P, Halfmann T 2003 Opt. Commun. 227 133
Google Scholar
[18] Oberst M, Klein J, Halfmann T 2006 Opt. Commun. 264 463
Google Scholar
[19] Wang T F, Li J F, Zhou W H, Chen C S 2018 Appl. Phys. Express 11 122202
Google Scholar
[20] Wang T F, Wan T, Zhou W H, Chen C S 2019 J. Opt. Soc. Am. B 36 1958
Google Scholar
[21] Rangelov A A, Vitanov N V, Yatsenko L P, Shore B W, Halfmann T, Bergmann K 2005 Phys. Rev. A 72 053403
Google Scholar
[22] Yatsenko L P, Shore B W, Halfmann T, Bergmann K, Vardi A 1999 Phys. Rev. A 60 R4237
Google Scholar
[23] Viedma D, Ahufinger V, Mompart J 2021 Opt. Express 29 39200
Google Scholar
[24] Vitanov N V, Rangelov A A, Shore B W, Bergmann K 2017 Rev. Mod. Phys. 89 015006
Google Scholar
[25] Mizuuchi K, Yamamoto K, Kato M, Sato H 1994 IEEE J. Quantum Electron. 30 1596
Google Scholar
[26] Guo H C, Tang S H, Qin Y Q, Zhu Y Y 2005 Phys. Rev. E 71 066615
Google Scholar
[27] Wei J X, Chen C S 2013 Opt. Commun. 311 380
Google Scholar
[28] Wei J X, Chen C S, Jiang H, Li W, Han T 2013 Phys. Rev. A 88 023806
Google Scholar
[29] Sun C, Chen C S, Wei J X, Li P P 2014 IEEE Photon. J. 6 6100607
[30] Xu L, Chen C S, Zhao X Y, Liu T, Hu H 2015 Laser Phys. 25 125404
Google Scholar
[31] Li F J, Zhang Z H, Wan T, Zhang H D, Chen C S 2022 Opt. Commun. 502 127427
Google Scholar
[32] Shur V Y, Pelegova E V, Akhmatkhanov A R, Baturin I S 2016 Ferroelectrics 496 49
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[33] Suchowski H, Porat G, Arie A 2014 Laser Photonics Rev. 8 333
Google Scholar
[34] Chou M H, Parameswaran K R, Fejer M M, Brener I 1999 Opt. Lett. 24 1157
Google Scholar
[35] Chen X F, Wu F, Zeng X L, Chen Y P, Xia Y X, Chen Y L 2004 Phys. Rev. A 69 013818
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[36] Reshak A H, Kityk I V, Auluck S 2010 J. Phys. Chem. B 114 16705
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[37] Hu X P, Xu P, Zhu S N 2013 Photonics Res. 1 171
Google Scholar
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图 1 (a)
$ \Lambda $ 型三态量子系统; (b) 级联TWM过程示意图Figure 1. (a) Schematic of the
$ \Lambda $ -type three-state quantum system; (b) the diagram of the cascaded TWM.
图 2 (a)三波长强度随传播长度的变化; (b)耦合系数调制随传播长度的变化
Figure 2. (a) Intensities of the three wavelengths varies with the propagation length; (b) the coupling-coefficients modulation along the propagation length.
图 3 (a)耦合迟延参数对转换效率的影响; (b)耦合迟延参数为
$ {s_1} $ = –0.011 m,$ {s_2} $ = 0.006 m时三波长强度随传播长度的变化情况Figure 3. (a) The conversion efficiency as a function of the coupling delay parameters; (b) the three wavelengths vary with propagation length when the coupling delay parameters are
$ {s_1} $ = –0.011 m,$ {s_2} $ = 0.006 m.
图 4 (a)宽度参数
$ d_1^2 $ ,$ d_2^2 $ 对转换效率的影响; (b)泵浦强度$ {I_\text{p1}} $ ,$ {I_\text{p2}} $ 对转换效率的影响Figure 4. (a) The conversion efficiency as a function of the width parameters
$ d_1^2 $ and$ d_2^2 $ ; (b) the conversion efficiency as a function of the pump intensities$ {I_\text{p1}} $ and$ {I_\text{p2}} $ .
图 5 (a)温度对转换效率的影响; (b)入射波长对转换效率的影响
Figure 5. (a) The conversion efficiency varies with the temperature; (b) the conversion efficiency varies with the signal wavelength.
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[1] Stolen R H, Bjorkholm J E, Ashkin A 1974 Appl. Phys. Lett. 24 308
Google Scholar
[2] Chang J H, Mao Q H, Feng S J, Gao X M, Xu C Q 2010 Opt. Lett. 35 3486
Google Scholar
[3] Zhong H Z, Zhang L F, Li Y, Fan D Y 2015 Sci. Rep. 5 10887
Google Scholar
[4] Margules P, Moses J, Suchowski H, Porat G 2021 J. Phys. Photonics 3 022011
Google Scholar
[5] Sasaki Y, Yuri A, Kawase K, Ito H 2002 Appl. Phys. Lett. 81 3323
Google Scholar
[6] Huang J T, Rao Z M, Xie F S 2019 Opt. Express 27 17199
Google Scholar
[7] Li Y Y, Yesharim O, Hurvitz I, Karnieli A, Fu S H, Porat G, Arie A 2020 Phys. Rev. A 101 033807
Google Scholar
[8] Chen B Q, Zhang C, Hu C Y, Liu R J, Li Z Y 2015 Phys. Rev. Lett. 115 083902
Google Scholar
[9] Chen B Q, Hong L H, Hu C Y, Zhang C, Liu R J, Li Z Y 2018 J. Opt. 20 034009
Google Scholar
[10] Suchowski H, Oron D, Arie A, Silberberg Y 2008 Phys. Rev. A 78 063821
Google Scholar
[11] Ding X Y, Heberle D, Harrington K, Flemens N, Chang W Z, Birks T A, Moses J 2020 Phys. Rev. Lett. 124 153902
Google Scholar
[12] Ding X Y, Habib M S, Amezcua-Correa R, Moses J 2019 Opt. Lett. 44 1084
Google Scholar
[13] Bahar E, Ding X Y, Dahan A, Suchowski H, Moses J 2018 Opt. Express 26 25582
Google Scholar
[14] Mrejen M, Erlich Y, Levanon A, Suchowski H 2020 Laser Photonics Rev. 14 2000040
Google Scholar
[15] Porat G, Arie A 2012 J. Opt. Soc. Am. B 29 2901
Google Scholar
[16] Porat G, Silberberg Y, Arie A, Suchowski H 2012 Opt. Express 20 3613
Google Scholar
[17] Rickes T, Marangos J P, Halfmann T 2003 Opt. Commun. 227 133
Google Scholar
[18] Oberst M, Klein J, Halfmann T 2006 Opt. Commun. 264 463
Google Scholar
[19] Wang T F, Li J F, Zhou W H, Chen C S 2018 Appl. Phys. Express 11 122202
Google Scholar
[20] Wang T F, Wan T, Zhou W H, Chen C S 2019 J. Opt. Soc. Am. B 36 1958
Google Scholar
[21] Rangelov A A, Vitanov N V, Yatsenko L P, Shore B W, Halfmann T, Bergmann K 2005 Phys. Rev. A 72 053403
Google Scholar
[22] Yatsenko L P, Shore B W, Halfmann T, Bergmann K, Vardi A 1999 Phys. Rev. A 60 R4237
Google Scholar
[23] Viedma D, Ahufinger V, Mompart J 2021 Opt. Express 29 39200
Google Scholar
[24] Vitanov N V, Rangelov A A, Shore B W, Bergmann K 2017 Rev. Mod. Phys. 89 015006
Google Scholar
[25] Mizuuchi K, Yamamoto K, Kato M, Sato H 1994 IEEE J. Quantum Electron. 30 1596
Google Scholar
[26] Guo H C, Tang S H, Qin Y Q, Zhu Y Y 2005 Phys. Rev. E 71 066615
Google Scholar
[27] Wei J X, Chen C S 2013 Opt. Commun. 311 380
Google Scholar
[28] Wei J X, Chen C S, Jiang H, Li W, Han T 2013 Phys. Rev. A 88 023806
Google Scholar
[29] Sun C, Chen C S, Wei J X, Li P P 2014 IEEE Photon. J. 6 6100607
[30] Xu L, Chen C S, Zhao X Y, Liu T, Hu H 2015 Laser Phys. 25 125404
Google Scholar
[31] Li F J, Zhang Z H, Wan T, Zhang H D, Chen C S 2022 Opt. Commun. 502 127427
Google Scholar
[32] Shur V Y, Pelegova E V, Akhmatkhanov A R, Baturin I S 2016 Ferroelectrics 496 49
Google Scholar
[33] Suchowski H, Porat G, Arie A 2014 Laser Photonics Rev. 8 333
Google Scholar
[34] Chou M H, Parameswaran K R, Fejer M M, Brener I 1999 Opt. Lett. 24 1157
Google Scholar
[35] Chen X F, Wu F, Zeng X L, Chen Y P, Xia Y X, Chen Y L 2004 Phys. Rev. A 69 013818
Google Scholar
[36] Reshak A H, Kityk I V, Auluck S 2010 J. Phys. Chem. B 114 16705
Google Scholar
[37] Hu X P, Xu P, Zhu S N 2013 Photonics Res. 1 171
Google Scholar
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