Abstract

This paper reports a set of Sellmeier equations for GaS and GaSe that provide excellent reproduction of the phase-matching conditions for second- to sixth-harmonic generation of CO2 laser radiation at 10.5910 μm in GaS0.4Se0.6 at 20°C. In addition, this set of Sellmeier equations is found to reproduce well the phase-matching angles for second-harmonic generation of a Ti:Al2O3 laser-pumped BaB2O4 optical parametric generator at 2.14–2.9 μm and CO2 laser radiation at 9.2(9.2007)10.7(10.6746)μm measured by Kang et al. [Appl. Phys. B 108, 545 (2012)] in GaS0.09Se0.91 and GaS0.41Se0.59.

© 2014 Optical Society of America

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  1. K. Kato, F. Tanno, and N. Umemura, “Sellmeier and thermo-optic dispersion formulas for GaSe (Revisited),” Appl. Opt. 52, 2325–2328 (2013).
    [CrossRef]
  2. K. Kato and N. Umemura, “Sellmeier equations for GaS and GaSe and their applications to the nonlinear optics in GaSxSe1−x,” Opt. Lett. 36, 746–747 (2011).
    [CrossRef]
  3. H. Zhang, Z. Kang, Y. Jiang, J. Gao, F. Wu, Z. Feng, Y. M. Andreev, G. V. Lanskii, A. N. Morozov, E. I. Sachkova, and S. Yu. Sarkisov, “SHG phase matching in GaSe and mixed GaSe1−xSx, x≤0.412, crystals at room temperature,” Opt. Express 16, 9951–9957 (2008).
    [CrossRef]
  4. Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
    [CrossRef]
  5. V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
    [CrossRef]
  6. G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
    [CrossRef]
  7. K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
    [CrossRef]

2013 (1)

2012 (1)

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

2011 (4)

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

K. Kato and N. Umemura, “Sellmeier equations for GaS and GaSe and their applications to the nonlinear optics in GaSxSe1−x,” Opt. Lett. 36, 746–747 (2011).
[CrossRef]

K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
[CrossRef]

2008 (1)

Andreev, Y.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Andreev, Y. M.

Atuchin, V.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Feng, Z.

Feng, Z.-S.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Gao, J.

Gao, J.-Y.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Griepentrog, M.

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

Guo, J.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Iskhakova, L. D.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Jiang, Y.

Kang, Z.

Kang, Z.-H.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Kato, K.

Lanskii, G.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Lanskii, G. V.

Marchev, G.

K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
[CrossRef]

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Miyata, K.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
[CrossRef]

Morozov, A. N.

Noack, F.

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Panyutin, V.

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
[CrossRef]

Panyutin, V. L.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Petrov, V.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
[CrossRef]

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

Rotermund, F.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Sachkova, E. I.

Sarkisov, S. Yu.

Shaiduko, A.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Tanno, F.

Tyazhev, A.

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

K. Miyata, G. Marchev, A. Tyazhev, V. Panyutin, and V. Petrov, “Picosecond mid-infrared optical parametric amplifier based on the wide-bandgap GaS0.4Se0.6 pumped by a Nd:YAG laser system at 1064  nm,” Opt. Lett. 36, 1785–1787 (2011).
[CrossRef]

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Umemura, N.

Wu, F.

Xie, J.-J.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Zagumennyi, A. I.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Zerrouk, A. F.

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Zhang, H.

Zhang, L.-M.

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (1)

Z.-H. Kang, J. Guo, Z.-S. Feng, J.-Y. Gao, J.-J. Xie, L.-M. Zhang, V. Atuchin, Y. Andreev, G. Lanskii, and A. Shaiduko, “Tellurium and sulfur doped GaS for mid-IR applications,” Appl. Phys. B 108, 545–552 (2012).
[CrossRef]

Laser Phys. (1)

V. Petrov, V. L. Panyutin, A. Tyazhev, G. Marchev, A. I. Zagumennyi, F. Rotermund, F. Noack, K. Miyata, L. D. Iskhakova, and A. F. Zerrouk, “GaS0.4Se0.6: relevant properties and potential for 1064  nm pumped mid-IR OPOs and OPGs operating above 5  μm,” Laser Phys. 21, 774–781 (2011).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Proc. SPIE (1)

G. Marchev, A. Tyazhev, V. Panyutin, V. Petrov, F. Noack, K. Miyata, and M. Griepentrog, “Some properties of the mixed GaS0.4Se0.6 nonlinear crystal in comparison to GaSe,” Proc. SPIE 7917, 79171G (2011).
[CrossRef]

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Figures (2)

Fig. 1.
Fig. 1.

Phase-matching curves for type-1 SHG in GaSxSe1x. The solid line and dashed lines are calculated with the Sellmeier equations of the present authors and Marchev et al. [6], respectively. Open circles, experimental points taken from [3,4]; open triangle, our experimental points.

Fig. 2.
Fig. 2.

Phase-matching curves for type-1 SHG in GaSxSe1x. The solid and dashed lines are the same as noted in Fig. 1. Open circles, experimental points taken from [3,4]; open triangle, our experimental points.

Tables (1)

Tables Icon

Table 1. Phase-Matching Angles for SHG and SFG of the CO2 Laser Line at 10.5910 μm in GaS0.4Se0.6

Equations (5)

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no2=10.1030+0.3202λ20.1021+4074.0λ21369.5ne2=7.7615+0.2492λ20.1381+3021.6λ21311.6(0.8λ10.5910),
no2=10.6409+0.3788λ20.1232+7090.7λ22216.3ne2=8.2477+0.2881λ20.1669+4927.5λ21990.1(0.8λ1620),
no2=10.1934+0.2331λ20.0431+3837.5λ21085.5ne2=7.6401+0.1914λ20.0623+2789.3λ21051.3(0.8λ10.5910),
n2(GaSxSe1x)=xn2(GaS)+(1x)n2(GaSe)
no2=10.6006+0.3651λ20.1201+6451.7λ21997.8ne2=8.1930+0.2789λ20.1623+4545.5λ21824.2(0.8λ10.5910),

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