Abstract

A thermo-optic dispersion formula for ${{\rm BaGa}_2}{{\rm GeSe}_6}$ nonlinear crystal is reported. The experimentally determined temperature-dependent phase-matching conditions for second-harmonic and sum-frequency generation of Nd:YAG laser-pumped ${{\rm KTiOPO}_4}$ (KTP) and ${{\rm RbTiOAsO}_4}$ (RTA) optical parametric oscillators as well as a ${{\rm CO}_2}$ laser and its harmonics in the 0.805–10.5910 µm range are precisely reproduced by the formula when combined with the Sellmeier equations previously reported by the present authors [Appl. Opt. 57, 7440 (2018) [CrossRef]  ].

© 2019 Optical Society of America

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  1. V. V. Badikov, D. V. Badikov, V. B. Laptev, K. V. Mitin, G. S. Shevyrdyaeva, N. I. Shchebetova, and V. Petrov, “Crystal growth and characterization of new quaternary chalcogenide nonlinear crystals for the mid-IR: BaGa2GeS6 and BaGa2GeSe6,” Opt. Mater. Express 6, 2933–2938 (2016).
    [Crossref]
  2. A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.
  3. G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.
  4. M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.
  5. K. Kato, K. Miyata, V. V. Badikov, and V. Petrov, “Phase-matching properties of BaGa2GeSe6 for three-wave interactions in the 0.778-10.5910  µm spectral range,” Appl. Opt. 57, 7440–7443 (2018).
    [Crossref]
  6. K. Kato, K. Miyata, V. V. Badikov, and V. Petrov, “Thermo-optic dispersion formula for BaGa4Se7,” Appl. Opt. 57, 2935–2938 (2018).
    [Crossref]
  7. T. Mikami, T. Okamoto, and K. Kato, “Sellmeier and thermo-optic dispersion formulas for CsTiOAsO4,” J. Appl. Phys. 109, 023108 (2011).
    [Crossref]
  8. B. Zhao, Y. Chen, B. Yao, J. Yao, Y. Guo, R. Wang, T. Dai, and X. Duan, “High-efficiency, tunable 8-9  µm BaGa4Se7 optical parametric oscillator pumped at 2.1  µm,” Opt. Mater. Express 8, 3332–3337 (2018).
    [Crossref]

2018 (3)

2016 (1)

2011 (1)

T. Mikami, T. Okamoto, and K. Kato, “Sellmeier and thermo-optic dispersion formulas for CsTiOAsO4,” J. Appl. Phys. 109, 023108 (2011).
[Crossref]

Badikov, D.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

Badikov, D. V.

Badikov, V.

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Badikov, V. V.

Baudisch, M.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Beutler, M.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

Boyko, A.

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

Chen, Y.

Dai, T.

Duan, X.

Gaida, C.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Gebhardt, M.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Guo, Y.

Hädrich, S.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Herda, R.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Kato, K.

Laptev, V. B.

Limpert, J.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Mikami, T.

T. Mikami, T. Okamoto, and K. Kato, “Sellmeier and thermo-optic dispersion formulas for CsTiOAsO4,” J. Appl. Phys. 109, 023108 (2011).
[Crossref]

Mitin, K. V.

Miyata, K.

Okamoto, T.

T. Mikami, T. Okamoto, and K. Kato, “Sellmeier and thermo-optic dispersion formulas for CsTiOAsO4,” J. Appl. Phys. 109, 023108 (2011).
[Crossref]

Pasiskevicius, V.

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

Petrov, V.

K. Kato, K. Miyata, V. V. Badikov, and V. Petrov, “Phase-matching properties of BaGa2GeSe6 for three-wave interactions in the 0.778-10.5910  µm spectral range,” Appl. Opt. 57, 7440–7443 (2018).
[Crossref]

K. Kato, K. Miyata, V. V. Badikov, and V. Petrov, “Thermo-optic dispersion formula for BaGa4Se7,” Appl. Opt. 57, 2935–2938 (2018).
[Crossref]

V. V. Badikov, D. V. Badikov, V. B. Laptev, K. V. Mitin, G. S. Shevyrdyaeva, N. I. Shchebetova, and V. Petrov, “Crystal growth and characterization of new quaternary chalcogenide nonlinear crystals for the mid-IR: BaGa2GeS6 and BaGa2GeSe6,” Opt. Mater. Express 6, 2933–2938 (2016).
[Crossref]

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

Rimke, I.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Shchebetova, N. I.

Shevyrdyaeva, G.

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

Shevyrdyaeva, G. S.

Stibenz, G.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

Stutzki, F.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Wang, R.

Yao, B.

Yao, J.

Zach, A.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

Zhao, B.

Zukauskas, A.

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

Appl. Opt. (2)

J. Appl. Phys. (1)

T. Mikami, T. Okamoto, and K. Kato, “Sellmeier and thermo-optic dispersion formulas for CsTiOAsO4,” J. Appl. Phys. 109, 023108 (2011).
[Crossref]

Opt. Mater. Express (2)

Other (3)

A. Boyko, V. Badikov, G. Shevyrdyaeva, D. Badikov, V. Pasiskevicius, A. Zukauskas, and V. Petrov, “Intracavity-pumped, cascaded optical parametric oscillator based on BaGa2GeSe6,” in High-Brightness Sources and Light-driven Interactions, OSA Technical Digest (online) (Optical Society of America, 2018), paper MW2C.3.

G. Stibenz, M. Beutler, I. Rimke, V. Badikov, D. Badikov, and V. Petrov, “Femtosecond mid-IR difference-frequency generation in BaGa2GeSe6 from a 40  MHz optical parametric oscillator pumped at 1035  nm,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2018), paper STh4F.5.

M. Baudisch, M. Beutler, M. Gebhardt, C. Gaida, F. Stutzki, S. Hädrich, R. Herda, V. Badikov, D. Badikov, V. Petrov, A. Zach, J. Limpert, and I. Rimke, “Sub-8 optical cycle, 4-12 µm tunable, µJ-level pulse generation via a BaGa2GeSe6-based, 1.96  µm pumped OPA at 100  kHz,” in XXIst International Conference on Ultrafast Phenomena UP2018, Hamburg, Germany, 15–20 July2018, paper WED.3B.2.

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Figures (3)

Fig. 1.
Fig. 1. 90° phase-matching wavelength versus temperature for type 2 SHG of a Nd:YAG laser-pumped KTP OPO in ${{\rm BaGa}_2}{{\rm GeSe}_6}$. The solid line is a theoretical calculation with Eqs. (1) and (2). The temperature bandwidth at 20°C is $\Delta T \cdot l = {6.8^\circ {\rm C}} \cdot {\rm cm}$. Open circles represent our experimental data.
Fig. 2.
Fig. 2. Phase-matching angle versus temperature for type 1 SHG of a Nd:YAG laser pumped RTA OPO at 1.6100 µm in ${{\rm BaGa}_2}{{\rm GeSe}_6}$. The solid curve is a theoretical calculation with Eqs. (1) and (2). The temperature bandwidth at 20°C is $\Delta T \cdot l = {1.2^\circ {\rm C}} \cdot {\rm cm}$. Open circles represent our experimental data.
Fig. 3.
Fig. 3. Phase-matching angle versus temperature for type 1 and type 2 SFG between the signal ($\lambda_s = 1.8045 \,\, \unicode{x00B5}{\rm m}$) and idler ($\lambda_i = 2.4793 \,\, \unicode{x00B5}{\rm m}$) outputs of a Nd:YAG laser-pumped CTA OPO in ${{\rm BaGa}_2}{{\rm GeSe}_6}$. The solid curves are calculated using Eqs. (1) and (2). The temperature bandwidths at 20°C are $\Delta T \cdot \ell = \;{35.1^\circ {\rm C}} \cdot {\rm cm}$ for both type 1 and type 2 processes. Open circles represent our experimental data.

Tables (1)

Tables Icon

Table 1. Temperature Phase-Matching Properties for Type 1 and Type 2 SHG and SFG of a C O 2 Laser and Its Harmonics and Nd:YAG Laser-Pumped KTP and RTA OPOs in B a G a 2 G e S e 6 at 20°C

Equations (2)

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n o 2 = 7.39367 + 0.27086 λ 2 0.06961 + 1513.10 λ 2 1237.35 , n e 2 = 8.11658 + 0.30287 λ 2 0.13199 + 2197.51 λ 2 1408.89 , ( 0.78 λ 10.5910 ) ,
d n o d T = ( 14.1291 λ 3 23.3638 λ 2 + 12.9005 λ + 2.8670 ) × 10 5 ( C 1 ) , d n e d T = ( 13.9802 λ 3 23.0577 λ 2 + 12.6154 λ + 1.7620 ) × 10 5 ( C 1 ) , ( 0.799 λ 10.5910 ) ,

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