Abstract

A theory is developed to predict some crucial parameters that optimize the performance of mixed nonlinear crystals in nonlinear devices. These include acceptable variations of the composition ratio of the parent crystals and the optimal as well as acceptable interaction lengths for any interaction. The theory is successfully applied to make necessary predictions for the newly developed LiIn(SexS1−x)2 crystal for second-harmonic and optical parametric generation.

© 2005 Optical Society of America

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  1. P. G. Shunemann, S. D. Seltzer, T. M. Pollak, “Phase-matched crystal growth of AgGaSe2 and AgGa1−xInx Se2,” J. Cryst. Growth 211, 257–264 (2000).
    [CrossRef]
  2. P. G. Shunemann, I. Zwiebeck, T. M. Pollak, “Growth of mixed crystals in the system AgGaSe2–AgInSe2,” presented at the 11th International Conference on Ternary and Multinary Compounds, Salford, U.K., 9–11 September 1997.
  3. V. V. Badikov, Department of Ecological Devices Institute of Monitoring of Climate and Ecological Systems SB RAS, Academicheskii Avenue, 10/3, 634055 Tomsk, Russia (personal communication, 2004).
  4. J. A. Giordmaine, “Mixing of light beams in crystals,” Phys. Rev. Lett. 8, 19–20 (1962).
    [CrossRef]
  5. P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
    [CrossRef]
  6. E. Takaoka, K. Kato, “90° phase-matched THG of the CO2laser wavelength in AgGa1−xInx Se2,” in Conference on Lasers and Electro-Optics (CLEO/US), 1998 OSA Technical Digest Series (Optical Society of America, 1998), p. 287, paper CWF57.
  7. G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
    [CrossRef]
  8. J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
    [CrossRef]
  9. G. D. Boyd, H. M. Kasper, J. H. Mcfee, “Linear and nonlinear optical properties of LiInS2,” J. Appl. Phys. 44, 2809–2812 (1973).
    [CrossRef]
  10. F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
    [CrossRef]
  11. L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
    [CrossRef]
  12. J. Huang, D. Ren, X. Hu, Y. Qu, Yu. M. Andreev, P. Geiko, A. Shaiduko, S. Grechin, “Optical properties and phase-matching in LiInS2,” Chin. Opt. Lett. 1, 237–240 (2003).
  13. S. Fossier, S. Salaün, J. Mangin, O. Bidault, I. Thénot, J. J. Zondy, W. Chen, F. Rotermund, V. Petrov, P. Petrov, J. Henningsen, A. Yelisseyev, L. Isaenko, S. Lobanov, O. Balachninaite, G. Slekys, V. Sirutkaitis, “Optical, vibrational, thermal, electrical, damage, and phase-matching properties of lithium thioindate,” J. Opt. Soc. Am. B 21, 1981–2007 (2004).
    [CrossRef]
  14. L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
    [CrossRef]
  15. Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

2004 (1)

2003 (1)

2002 (1)

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

2001 (2)

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

2000 (1)

P. G. Shunemann, S. D. Seltzer, T. M. Pollak, “Phase-matched crystal growth of AgGaSe2 and AgGa1−xInx Se2,” J. Cryst. Growth 211, 257–264 (2000).
[CrossRef]

1993 (1)

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

1973 (1)

G. D. Boyd, H. M. Kasper, J. H. Mcfee, “Linear and nonlinear optical properties of LiInS2,” J. Appl. Phys. 44, 2809–2812 (1973).
[CrossRef]

1962 (3)

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

J. A. Giordmaine, “Mixing of light beams in crystals,” Phys. Rev. Lett. 8, 19–20 (1962).
[CrossRef]

P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
[CrossRef]

Andreev, Yu. M.

J. Huang, D. Ren, X. Hu, Y. Qu, Yu. M. Andreev, P. Geiko, A. Shaiduko, S. Grechin, “Optical properties and phase-matching in LiInS2,” Chin. Opt. Lett. 1, 237–240 (2003).

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Atuchin, V. V.

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

Badikov, V. V.

V. V. Badikov, Department of Ecological Devices Institute of Monitoring of Climate and Ecological Systems SB RAS, Academicheskii Avenue, 10/3, 634055 Tomsk, Russia (personal communication, 2004).

Balachninaite, O.

Bhar, G. C.

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

Bidault, O.

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Boyd, G. D.

G. D. Boyd, H. M. Kasper, J. H. Mcfee, “Linear and nonlinear optical properties of LiInS2,” J. Appl. Phys. 44, 2809–2812 (1973).
[CrossRef]

Chatterjee, U.

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

Chen, W.

Das, S.

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

Datta, P. K.

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Fossier, S.

Geiko, P.

Geiko, P. P.

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

Giordmaine, J. A.

J. A. Giordmaine, “Mixing of light beams in crystals,” Phys. Rev. Lett. 8, 19–20 (1962).
[CrossRef]

Grechin, S.

Henningsen, J.

Hu, X.

Huang, J.

Isaenko, L.

S. Fossier, S. Salaün, J. Mangin, O. Bidault, I. Thénot, J. J. Zondy, W. Chen, F. Rotermund, V. Petrov, P. Petrov, J. Henningsen, A. Yelisseyev, L. Isaenko, S. Lobanov, O. Balachninaite, G. Slekys, V. Sirutkaitis, “Optical, vibrational, thermal, electrical, damage, and phase-matching properties of lithium thioindate,” J. Opt. Soc. Am. B 21, 1981–2007 (2004).
[CrossRef]

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

Kasper, H. M.

G. D. Boyd, H. M. Kasper, J. H. Mcfee, “Linear and nonlinear optical properties of LiInS2,” J. Appl. Phys. 44, 2809–2812 (1973).
[CrossRef]

Kato, K.

E. Takaoka, K. Kato, “90° phase-matched THG of the CO2laser wavelength in AgGa1−xInx Se2,” in Conference on Lasers and Electro-Optics (CLEO/US), 1998 OSA Technical Digest Series (Optical Society of America, 1998), p. 287, paper CWF57.

Knippels, G. H. M.

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

Lanskii, G. V.

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

Lobanov, S.

S. Fossier, S. Salaün, J. Mangin, O. Bidault, I. Thénot, J. J. Zondy, W. Chen, F. Rotermund, V. Petrov, P. Petrov, J. Henningsen, A. Yelisseyev, L. Isaenko, S. Lobanov, O. Balachninaite, G. Slekys, V. Sirutkaitis, “Optical, vibrational, thermal, electrical, damage, and phase-matching properties of lithium thioindate,” J. Opt. Soc. Am. B 21, 1981–2007 (2004).
[CrossRef]

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

Maker, P. D.

P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
[CrossRef]

Mangin, J.

Mcfee, J. H.

G. D. Boyd, H. M. Kasper, J. H. Mcfee, “Linear and nonlinear optical properties of LiInS2,” J. Appl. Phys. 44, 2809–2812 (1973).
[CrossRef]

Nicenoff, M.

P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
[CrossRef]

Noack, F.

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Petrov, P.

Petrov, V.

S. Fossier, S. Salaün, J. Mangin, O. Bidault, I. Thénot, J. J. Zondy, W. Chen, F. Rotermund, V. Petrov, P. Petrov, J. Henningsen, A. Yelisseyev, L. Isaenko, S. Lobanov, O. Balachninaite, G. Slekys, V. Sirutkaitis, “Optical, vibrational, thermal, electrical, damage, and phase-matching properties of lithium thioindate,” J. Opt. Soc. Am. B 21, 1981–2007 (2004).
[CrossRef]

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

Pollak, T. M.

P. G. Shunemann, S. D. Seltzer, T. M. Pollak, “Phase-matched crystal growth of AgGaSe2 and AgGa1−xInx Se2,” J. Cryst. Growth 211, 257–264 (2000).
[CrossRef]

P. G. Shunemann, I. Zwiebeck, T. M. Pollak, “Growth of mixed crystals in the system AgGaSe2–AgInSe2,” presented at the 11th International Conference on Ternary and Multinary Compounds, Salford, U.K., 9–11 September 1997.

Popov, V. V.

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

Qu, Y.

Ren, D.

Rotermund, F.

S. Fossier, S. Salaün, J. Mangin, O. Bidault, I. Thénot, J. J. Zondy, W. Chen, F. Rotermund, V. Petrov, P. Petrov, J. Henningsen, A. Yelisseyev, L. Isaenko, S. Lobanov, O. Balachninaite, G. Slekys, V. Sirutkaitis, “Optical, vibrational, thermal, electrical, damage, and phase-matching properties of lithium thioindate,” J. Opt. Soc. Am. B 21, 1981–2007 (2004).
[CrossRef]

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

Salaün, S.

Savage, C. M.

P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
[CrossRef]

Seltzer, S. D.

P. G. Shunemann, S. D. Seltzer, T. M. Pollak, “Phase-matched crystal growth of AgGaSe2 and AgGa1−xInx Se2,” J. Cryst. Growth 211, 257–264 (2000).
[CrossRef]

Shaiduko, A.

Shunemann, P. G.

P. G. Shunemann, S. D. Seltzer, T. M. Pollak, “Phase-matched crystal growth of AgGaSe2 and AgGa1−xInx Se2,” J. Cryst. Growth 211, 257–264 (2000).
[CrossRef]

P. G. Shunemann, I. Zwiebeck, T. M. Pollak, “Growth of mixed crystals in the system AgGaSe2–AgInSe2,” presented at the 11th International Conference on Ternary and Multinary Compounds, Salford, U.K., 9–11 September 1997.

Sirutkaitis, V.

Slekys, G.

Takaoka, E.

E. Takaoka, K. Kato, “90° phase-matched THG of the CO2laser wavelength in AgGa1−xInx Se2,” in Conference on Lasers and Electro-Optics (CLEO/US), 1998 OSA Technical Digest Series (Optical Society of America, 1998), p. 287, paper CWF57.

Terhune, R. W.

P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
[CrossRef]

Thénot, I.

Trocenko, N. C.

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

Yelisseyev, A.

S. Fossier, S. Salaün, J. Mangin, O. Bidault, I. Thénot, J. J. Zondy, W. Chen, F. Rotermund, V. Petrov, P. Petrov, J. Henningsen, A. Yelisseyev, L. Isaenko, S. Lobanov, O. Balachninaite, G. Slekys, V. Sirutkaitis, “Optical, vibrational, thermal, electrical, damage, and phase-matching properties of lithium thioindate,” J. Opt. Soc. Am. B 21, 1981–2007 (2004).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

Yellisseyev, A.

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

Zondy, J. J.

Zondy, J.-J.

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

Zwiebeck, I.

P. G. Shunemann, I. Zwiebeck, T. M. Pollak, “Growth of mixed crystals in the system AgGaSe2–AgInSe2,” presented at the 11th International Conference on Ternary and Multinary Compounds, Salford, U.K., 9–11 September 1997.

Appl. Phys. Lett. (2)

G. C. Bhar, S. Das, U. Chatterjee, P. K. Datta, Yu. M. Andreev, “Noncritical second harmonic generation of CO2 laser radiation in mixed chalcopyrite crystal,” Appl. Phys. Lett. 63, 1316–1338 (1993).
[CrossRef]

F. Rotermund, V. Petrov, F. Noack, L. Isaenko, A. Yelisseyev, S. Lobanov, “Optical parametric generation of femtosecond pulses up to 9 mm with LiInS2 pumped at 800 nm,” Appl. Phys. Lett. 78, 2623–2625 (2001).
[CrossRef]

Chin. Opt. Lett. (1)

J. Appl. Phys. (2)

L. Isaenko, A. Yellisseyev, S. Lobanov, V. Petrov, F. Rotermund, G. Slekys, J.-J. Zondy, “A biaxial ternary chalcogenide crystal for nonlinear optical applications in the mid-infrared,” J. Appl. Phys. 91, 9475–9480 (2002).
[CrossRef]

G. D. Boyd, H. M. Kasper, J. H. Mcfee, “Linear and nonlinear optical properties of LiInS2,” J. Appl. Phys. 44, 2809–2812 (1973).
[CrossRef]

J. Cryst. Growth (1)

P. G. Shunemann, S. D. Seltzer, T. M. Pollak, “Phase-matched crystal growth of AgGaSe2 and AgGa1−xInx Se2,” J. Cryst. Growth 211, 257–264 (2000).
[CrossRef]

J. Opt. Soc. Am. B (1)

Mater. Sci. Semicond. Process. (1)

L. Isaenko, A. Yelisseyev, S. Lobanov, V. Petrov, F. Rotermund, J.-J. Zondy, G. H. M. Knippels, “A new nonlinear crystal for the mid-IR,” Mater. Sci. Semicond. Process. 4, 665–668 (2001).
[CrossRef]

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Phys. Rev. Lett. (2)

J. A. Giordmaine, “Mixing of light beams in crystals,” Phys. Rev. Lett. 8, 19–20 (1962).
[CrossRef]

P. D. Maker, R. W. Terhune, M. Nicenoff, C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21–22 (1962).
[CrossRef]

Other (4)

E. Takaoka, K. Kato, “90° phase-matched THG of the CO2laser wavelength in AgGa1−xInx Se2,” in Conference on Lasers and Electro-Optics (CLEO/US), 1998 OSA Technical Digest Series (Optical Society of America, 1998), p. 287, paper CWF57.

P. G. Shunemann, I. Zwiebeck, T. M. Pollak, “Growth of mixed crystals in the system AgGaSe2–AgInSe2,” presented at the 11th International Conference on Ternary and Multinary Compounds, Salford, U.K., 9–11 September 1997.

V. V. Badikov, Department of Ecological Devices Institute of Monitoring of Climate and Ecological Systems SB RAS, Academicheskii Avenue, 10/3, 634055 Tomsk, Russia (personal communication, 2004).

Yu. M. Andreev, V. V. Atuchin, P. P. Geiko, V. V. Popov, G. V. Lanskii, N. C. Trocenko, “New mixed LiIn(S1−x Sex)2 crystals for frequency conversion of IR lasers,” in Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, G. G. Matvienko, V. P. Lukin, eds., Proc. SPIE5743, 420–427 (2004).

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Figures (3)

Fig. 1
Fig. 1

(a) Phase-matching diagrams and (b) spectral dependence of the mixing acceptance bandwidth on wavelengths in the XY principal plane of Type I SHG with 1 cm LiIn(SexS1−x)2 for several values of mixing ratios: x = 0, 0.2, 0.4, 0.6, 0.8, 1.0.

Fig. 2
Fig. 2

Phase-matching diagrams of OPO for Type I in the XY principal plane of a LiIn(SexS1−x)2 crystal pumped by Nd:YAG and Ho:YLF lasers.

Fig. 3
Fig. 3

Spectral dependence of the mixing acceptance bandwidth on wavelengths λ1 for Type I OPO pumped by (a) Nd:YAG and (b) Ho:YLF laser radiation in the XY principal plane with 1 cm LiIn(SexS1−x)2 for several values of mixing ratios: x = 0, 0.2, 0.4, 0.6, 0.8, 1.0. ssf, slow-slow-fast combination of refractive indices referring to Type I phase matching.

Tables (1)

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Table 1 Sellmeier Coefficients of LiInS2 and LiInSe2 Crystals

Equations (35)

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Δ k = 2 π λ 1 n 1 + 2 π λ 2 n 2 2 π λ 3 n 3 = 0 , λ 1 λ 2 > λ 3 .
n j ( x ) = [ ( n j A ) 2 x + ( 1 x ) ( n j B ) 2 ] 1 / 2 , j = X , Y , Z ,
2 π j = 1 3 Δ j δ x Δ k .
δ x Δ k 2 π ( j = 1 3 Δ j ) 1 , Δ j = ± n j ( x ) λ j x | x = x ¯ ,
( j = 1 3 Δ j ) 1 α [ 1 + ɛ ( x ¯ x 0 ) ] , α = ( j = 1 3 Δ j ) 1 | x = x 0 , ɛ = ( j = 1 3 j = 1 3 Δ j Δ j ) | x = x 0
δ x Δ k α 2 π [ 1 + ɛ ( x ¯ x 0 ) ] .
Δ x α 1 + ɛ ( x ¯ x 0 ) 2 L .
Δ k ( x ¯ + Δ x + , λ 1 , λ 2 , λ 3 , φ ) = π / L , Δ k ( x ¯ , λ 1 , λ 2 , λ 3 , φ ) = 0 ,
Δ k ( x ¯ + Δ x , λ 1 , λ 2 , λ 3 , φ ) = π / L , Δ k ( x ¯ , λ 1 , λ 2 , λ 3 , φ ) = 0 ,
x = x ¯ + β ( z L / 2 ) , δ x = β ( z L / 2 ) ,
k j ( z ) = [ k j * ( z ) z ] / z = k j * ( z ) + z [ k j * ( z ) ] / z , j = 1 , 2 , 3 .
k j ( z ) = k j 0 + δ k j ( z )
δ k j * ( z ) k j * ( z ) k j 0 ,
δ k j ( z ) = δ k j * ( z ) + z δ k j * ( z ) / z = [ z δ k j * ( z ) ] / z ,
δ k j * ( z ) = 1 z 0 z δ k j ( z ) d z .
× × E j μ 0 ω j 2 ɛ ( z ) · E j = μ 0 ω j 2 P j NL ,
E j ( z , t ) = ½ â j A j ( z ) exp { i [ k j * ( z ) z ω j t ] } + c . c . , j = 1 , 2 , 3 ;
I j ( z , t ) = ½ n j ( z ) c ɛ 0 | A j ( z ) | 2 ,
2 i k j ( z ) a j d A j d z μ 0 ω j 2 P j NL exp [ i k j * ( z ) z ] .
d A 1 d z i B 1 A 3 A 2 * exp [ i Δ k * ( z ) z ] ,
d A 2 d z i B 2 A 3 A 1 * exp [ i Δ k * ( z ) z ] ,
d A 3 d z i B 3 A 1 A 2 exp [ i Δ k * ( z ) z ] ,
B j = ω j d j eff n j 0 c cos ρ j , Δ k * k 10 + k 20 k 30 + δ k 1 * + δ k 2 * δ k 3 * ;
A 3 = i ω 3 n 30 c d 3 eff A 1 A 2 0 L exp [ i Δ k * ( z ) z ] d z 0 L exp [ i Δ k * ( z ) z ] d z .
δ k ( z ) δ k 1 ( z ) + δ k 2 ( z ) δ k 3 ( z ) 2 π δ x / α = 4 π K δ x = 4 π K β ( z L / 2 ) .
Δ k * ( z ) = 1 z 0 z δ k ( z ) d z = 2 π K β ( z L ) .
0 L exp ( i Δ k * z ) d z = 0 L exp [ i 2 π K β ( z L ) z ] d z = 0 L exp { i 2 π K β [ ( z L / 2 ) 2 L 2 / 4 ] } d z = exp ( i π L 2 K β / 2 ) 0 L exp [ i 2 π K β ( z L / 2 ) 2 ] d z = exp ( i π L 2 K β / 2 ) | K β | 1 / 2 [ C ( L | K β | 1 / 2 ) ± i S ( L | K β | 1 / 2 ) ] = exp ( i π L 2 K β / 2 ) L [ C ( τ ) ± i S ( τ ) ] / τ ,
I 3 = I 1 I 2 I 1 + I 2 1 | K β | C 2 ( τ ) + S 2 ( τ ) L NL 2 = η ( I 1 + I 2 ) ,
L NL = [ 8 π 2 d eff 2 ( I 1 + I 2 ) n 10 n 20 n 30 ɛ 0 c λ 3 2 ] 1 / 2 ,
C ( τ ) cos ( τ 2 π / 2 ) + S ( τ ) sin ( τ 2 π / 2 ) = 0 .
L M = τ 0 | K β | 1 / 2 .
L M = τ 0 2 | α | | Δ x d | 1 / 2 .
L A = | α | | Δ x d | 1 / 2 .
| Δ x d | > 2 τ 0 2 | α | L NL [ optimization ] , | Δ x d | > 2 | α | L NL [ acceptance ] .
L M = τ 0 2 L | Δ x Δ x d | , L A = L | Δ x Δ x d | .

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