Abstract

We have determined experimentally the acoustic wave velocities for Pb2P2Se6 crystals and obtained complete matrices of the elastic stiffness and elastic compliance coefficients on this basis. The anisotropy of the acoustic wave velocities has been analyzed, and the spatial directions of propagation and polarization of the slowest acoustic waves have been determined. In the case of acousto-optic (AO) interaction with these waves, the AO figure of merit can reach extremely high values, thus making Pb2P2Se6 a promising AO material for the infrared spectral range.

© 2014 Optical Society of America

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  1. R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).
  2. D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
    [CrossRef]
  3. O. Krupych, D. Adamenko, O. Mys, A. Grabar, and R. Vlokh, “Faraday effect in Sn2P2S6 crystals,” Appl. Opt. 47, 6040–6045 (2008).
    [CrossRef]
  4. M. Jazbinsek, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Fast near-infrared self-pumped phase conjugation with photorefractive Sn2P2S6,” J. Opt. Soc. Am. B 20, 1241–1256 (2003).
  5. I. Martynyuk-Lototska, O. Mys, A. Grabar, I. Stoika, Y. Vysochanskii, and R. Vlokh, “Highly efficient acoustooptic diffraction in Sn2P2S6 crystals,” Appl. Opt. 47, 52–55 (2008).
    [CrossRef]
  6. I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
    [CrossRef]
  7. Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).
  8. O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
    [CrossRef]
  9. O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
    [CrossRef]
  10. O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
    [CrossRef]
  11. I. Martynyuk-Lototska, O. Mys, T. Dudok, V. Adamiv, Y. Smirnov, and R. Vlokh, “Acousto-optic interaction in α-BaB2O4 and Li2B4O7 crystals,” Appl. Opt. 47, 3446–3454 (2008).
    [CrossRef]
  12. M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Photoelastic and acousto-optical properties of Cs2HgCl4 crystals,” Appl. Opt. 41, 5341–5345 (2002).
    [CrossRef]
  13. M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).
  14. C. Carpentier and R. Nitsche, “Vapour growth and crystal data of the thio(seleno)-hypodiphosphates Sn2P2S6, Sn2P2Se6, Pb2P2S6, Pb2P2Se6 and their mixed crystals,” Mater. Res. Bull. 9, 401–410 (1974).
    [CrossRef]
  15. K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
    [CrossRef]
  16. E. Papadakis, “Ultrasonic phase velocity by the pulse-echo-overlap method incorporating diffraction phase corrections,” J. Acoust. Soc. Am. 42, 1045–1051 (1967).
    [CrossRef]
  17. H. Huntington and S. Gangoli, “Ultrasonic measurement of the elastic constants of anthracene,” J. Chem. Phys. 50, 3844–3849 (1969).
    [CrossRef]
  18. S. Prawer, T. Smith, and T. Finlayson, “The room temperature elastic behaviour of CsH2PO4,” Aust. J. Phys. 38, 63–83 (1985).
    [CrossRef]
  19. Y. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, 1979).
  20. O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).
  21. O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).
  22. D. Haertle, A. Guarino, J. Hajfler, G. Montemezzani, and P. Gunter, “Refractive indices of Sn2P2S6 at visible and infrared wavelengths,” Opt. Express 13, 2047–2057 (2005).
  23. M. P. Shaskolskaya, Acoustic Crystals (Nauka, 1982).
  24. M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).

2013 (2)

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

2012 (2)

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).

2010 (1)

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

2009 (1)

O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).

2008 (3)

2005 (1)

2003 (4)

M. Jazbinsek, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Fast near-infrared self-pumped phase conjugation with photorefractive Sn2P2S6,” J. Opt. Soc. Am. B 20, 1241–1256 (2003).

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

2002 (1)

1985 (1)

S. Prawer, T. Smith, and T. Finlayson, “The room temperature elastic behaviour of CsH2PO4,” Aust. J. Phys. 38, 63–83 (1985).
[CrossRef]

1984 (1)

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

1974 (1)

C. Carpentier and R. Nitsche, “Vapour growth and crystal data of the thio(seleno)-hypodiphosphates Sn2P2S6, Sn2P2Se6, Pb2P2S6, Pb2P2Se6 and their mixed crystals,” Mater. Res. Bull. 9, 401–410 (1974).
[CrossRef]

1969 (1)

H. Huntington and S. Gangoli, “Ultrasonic measurement of the elastic constants of anthracene,” J. Chem. Phys. 50, 3844–3849 (1969).
[CrossRef]

1967 (1)

E. Papadakis, “Ultrasonic phase velocity by the pulse-echo-overlap method incorporating diffraction phase corrections,” J. Acoust. Soc. Am. 42, 1045–1051 (1967).
[CrossRef]

Adamenko, D.

Adamiv, V.

Andrushchak, A. S.

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Photoelastic and acousto-optical properties of Cs2HgCl4 crystals,” Appl. Opt. 41, 5341–5345 (2002).
[CrossRef]

Baluja, S.

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Banys, J.

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Caimi, G.

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

Carpentier, C.

C. Carpentier and R. Nitsche, “Vapour growth and crystal data of the thio(seleno)-hypodiphosphates Sn2P2S6, Sn2P2Se6, Pb2P2S6, Pb2P2Se6 and their mixed crystals,” Mater. Res. Bull. 9, 401–410 (1974).
[CrossRef]

Currat, R.

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Damulionis, V.

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Dudok, T.

Finlayson, T.

S. Prawer, T. Smith, and T. Finlayson, “The room temperature elastic behaviour of CsH2PO4,” Aust. J. Phys. 38, 63–83 (1985).
[CrossRef]

Folk, R.

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Gangoli, S.

H. Huntington and S. Gangoli, “Ultrasonic measurement of the elastic constants of anthracene,” J. Chem. Phys. 50, 3844–3849 (1969).
[CrossRef]

Girnyk, I.

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

Grabar, A.

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).

I. Martynyuk-Lototska, O. Mys, A. Grabar, I. Stoika, Y. Vysochanskii, and R. Vlokh, “Highly efficient acoustooptic diffraction in Sn2P2S6 crystals,” Appl. Opt. 47, 52–55 (2008).
[CrossRef]

O. Krupych, D. Adamenko, O. Mys, A. Grabar, and R. Vlokh, “Faraday effect in Sn2P2S6 crystals,” Appl. Opt. 47, 6040–6045 (2008).
[CrossRef]

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

M. Jazbinsek, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Fast near-infrared self-pumped phase conjugation with photorefractive Sn2P2S6,” J. Opt. Soc. Am. B 20, 1241–1256 (2003).

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

Grigas, J.

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Guarino, A.

Gunter, P.

Haertle, D.

D. Haertle, A. Guarino, J. Hajfler, G. Montemezzani, and P. Gunter, “Refractive indices of Sn2P2S6 at visible and infrared wavelengths,” Opt. Express 13, 2047–2057 (2005).

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

Hajfler, J.

Haldi, A.

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

Huntington, H.

H. Huntington and S. Gangoli, “Ultrasonic measurement of the elastic constants of anthracene,” J. Chem. Phys. 50, 3844–3849 (1969).
[CrossRef]

Janssen, T.

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Jazbinsek, M.

Kaidan, M. V.

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Photoelastic and acousto-optical properties of Cs2HgCl4 crystals,” Appl. Opt. 41, 5341–5345 (2002).
[CrossRef]

Kityk, A.

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

Kityk, A. V.

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Photoelastic and acousto-optical properties of Cs2HgCl4 crystals,” Appl. Opt. 41, 5341–5345 (2002).
[CrossRef]

Kostruba, A. M.

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

Kostyrko, M.

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

Krupych, O.

Martynyuk-Lototska, I.

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).

I. Martynyuk-Lototska, O. Mys, A. Grabar, I. Stoika, Y. Vysochanskii, and R. Vlokh, “Highly efficient acoustooptic diffraction in Sn2P2S6 crystals,” Appl. Opt. 47, 52–55 (2008).
[CrossRef]

I. Martynyuk-Lototska, O. Mys, T. Dudok, V. Adamiv, Y. Smirnov, and R. Vlokh, “Acousto-optic interaction in α-BaB2O4 and Li2B4O7 crystals,” Appl. Opt. 47, 3446–3454 (2008).
[CrossRef]

Matsuo, T.

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Montemezzani, G.

Moriya, K.

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Mys, O.

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).

I. Martynyuk-Lototska, O. Mys, A. Grabar, I. Stoika, Y. Vysochanskii, and R. Vlokh, “Highly efficient acoustooptic diffraction in Sn2P2S6 crystals,” Appl. Opt. 47, 52–55 (2008).
[CrossRef]

O. Krupych, D. Adamenko, O. Mys, A. Grabar, and R. Vlokh, “Faraday effect in Sn2P2S6 crystals,” Appl. Opt. 47, 6040–6045 (2008).
[CrossRef]

I. Martynyuk-Lototska, O. Mys, T. Dudok, V. Adamiv, Y. Smirnov, and R. Vlokh, “Acousto-optic interaction in α-BaB2O4 and Li2B4O7 crystals,” Appl. Opt. 47, 3446–3454 (2008).
[CrossRef]

Nitsche, R.

C. Carpentier and R. Nitsche, “Vapour growth and crystal data of the thio(seleno)-hypodiphosphates Sn2P2S6, Sn2P2Se6, Pb2P2S6, Pb2P2Se6 and their mixed crystals,” Mater. Res. Bull. 9, 401–410 (1974).
[CrossRef]

Papadakis, E.

E. Papadakis, “Ultrasonic phase velocity by the pulse-echo-overlap method incorporating diffraction phase corrections,” J. Acoust. Soc. Am. 42, 1045–1051 (1967).
[CrossRef]

Prawer, S.

S. Prawer, T. Smith, and T. Finlayson, “The room temperature elastic behaviour of CsH2PO4,” Aust. J. Phys. 38, 63–83 (1985).
[CrossRef]

Pritz, I.

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Shaskolskaya, M. P.

Y. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, 1979).

M. P. Shaskolskaya, Acoustic Crystals (Nauka, 1982).

Sirotin, Y. I.

Y. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, 1979).

Slivka, V.

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

Smirnov, Y.

Smith, T.

S. Prawer, T. Smith, and T. Finlayson, “The room temperature elastic behaviour of CsH2PO4,” Aust. J. Phys. 38, 63–83 (1985).
[CrossRef]

Stoika, I.

Vlokh, R.

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).

I. Martynyuk-Lototska, O. Mys, A. Grabar, I. Stoika, Y. Vysochanskii, and R. Vlokh, “Highly efficient acoustooptic diffraction in Sn2P2S6 crystals,” Appl. Opt. 47, 52–55 (2008).
[CrossRef]

O. Krupych, D. Adamenko, O. Mys, A. Grabar, and R. Vlokh, “Faraday effect in Sn2P2S6 crystals,” Appl. Opt. 47, 6040–6045 (2008).
[CrossRef]

I. Martynyuk-Lototska, O. Mys, T. Dudok, V. Adamiv, Y. Smirnov, and R. Vlokh, “Acousto-optic interaction in α-BaB2O4 and Li2B4O7 crystals,” Appl. Opt. 47, 3446–3454 (2008).
[CrossRef]

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

Vysochanskii, Y.

I. Martynyuk-Lototska, O. Mys, A. Grabar, I. Stoika, Y. Vysochanskii, and R. Vlokh, “Highly efficient acoustooptic diffraction in Sn2P2S6 crystals,” Appl. Opt. 47, 52–55 (2008).
[CrossRef]

M. Jazbinsek, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Fast near-infrared self-pumped phase conjugation with photorefractive Sn2P2S6,” J. Opt. Soc. Am. B 20, 1241–1256 (2003).

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Vysochanskii, Y. M.

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Weber, M. J.

M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).

Yamada, T.

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Zadorozhna, A. V.

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Photoelastic and acousto-optical properties of Cs2HgCl4 crystals,” Appl. Opt. 41, 5341–5345 (2002).
[CrossRef]

Zapeka, B.

O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

Appl. Opt. (4)

Aust. J. Phys. (1)

S. Prawer, T. Smith, and T. Finlayson, “The room temperature elastic behaviour of CsH2PO4,” Aust. J. Phys. 38, 63–83 (1985).
[CrossRef]

Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. (1)

R. Vlokh, Y. Vysochanskii, A. Grabar, A. Kityk, and V. Slivka, “Electrooptic effect in Sn2P2S6 ferroelectrics,” Izv. Akad. Nauk SSSR, Ser. Neorg. Mater. 27, 689–692 (1984).

J. Acoust. Soc. Am. (1)

E. Papadakis, “Ultrasonic phase velocity by the pulse-echo-overlap method incorporating diffraction phase corrections,” J. Acoust. Soc. Am. 42, 1045–1051 (1967).
[CrossRef]

J. Chem. Phys. (1)

H. Huntington and S. Gangoli, “Ultrasonic measurement of the elastic constants of anthracene,” J. Chem. Phys. 50, 3844–3849 (1969).
[CrossRef]

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

J. Phil. Mag. (1)

I. Martynyuk-Lototska, O. Mys, B. Zapeka, A. Grabar, and R. Vlokh, “Acoustic wave velocities and elastic properties of Sn2P2(Se0.28S0.72)6 solid solutions,” J. Phil. Mag. 90(33), 4349–4359 (2010).
[CrossRef]

J. Phys. Condens. Matter (1)

O. Mys, I. Martynyuk-Lototska, A. Grabar, and R. Vlokh, “Acoustic and elastic properties of the Sn2P2S6 crystals,” J. Phys. Condens. Matter 21, 265401 (2009).

Mater. Res. Bull. (1)

C. Carpentier and R. Nitsche, “Vapour growth and crystal data of the thio(seleno)-hypodiphosphates Sn2P2S6, Sn2P2Se6, Pb2P2S6, Pb2P2Se6 and their mixed crystals,” Mater. Res. Bull. 9, 401–410 (1974).
[CrossRef]

Opt. Commun. (1)

D. Haertle, G. Caimi, A. Haldi, G. Montemezzani, P. Gunter, A. Grabar, I. Stoika, and Y. Vysochanskii, “Electro-optical properties of Sn2P2S6,” Opt. Commun. 215, 333–343 (2003).
[CrossRef]

Opt. Express (1)

Opt. Mater. (2)

O. Mys, B. Zapeka, I. Martynyuk-Lototska, and R. Vlokh, “Elastic and acoustooptic properties of Sn2P2S6 crystals: effect of ferroelastic phase transition,” Opt. Mater. 35, 168–174 (2012).

M. V. Kaidan, A. V. Zadorozhna, A. S. Andrushchak, and A. V. Kityk, “Cs2HgCl4 crystal as a new material for acoustooptical applications,” Opt. Mater. 22, 263–268 (2003).

Thermochim. Acta (1)

K. Moriya, T. Yamada, S. Baluja, T. Matsuo, I. Pritz, and Y. M. Vysochanskii, “Low-temperature thermal properties of Pb2P2Se6 and Pb1.424Sn0.576P2Se6,” Thermochim. Acta 403, 153–160 (2003).
[CrossRef]

Ukr. J. Phys. Opt. (3)

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies,” Ukr. J. Phys. Opt. 13, 177–182 (2012).
[CrossRef]

O. Mys, I. Martynyuk-Lototska, A. M. Kostruba, A. Grabar, and R. Vlokh, “On the acoustooptic efficiency of Pb2P2Se6 crystals. Acoustic and thermal studies: errata,” Ukr. J. Phys. Opt. 14, 210–211 (2013).
[CrossRef]

O. Mys, I. Girnyk, A. Grabar, M. Kostyrko, and R. Vlokh, “Thermal expansion of Pb2P2Se6 crystals,” Ukr. J. Phys. Opt. 14, 219–224 (2013).
[CrossRef]

Other (4)

Y. Vysochanskii, T. Janssen, R. Currat, R. Folk, J. Banys, J. Grigas, and V. Damulionis, Phase Transitions in Ferroelectric Phosphorous Chalcogenide Crystals (Vilnius University, 2006).

Y. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, 1979).

M. P. Shaskolskaya, Acoustic Crystals (Nauka, 1982).

M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).

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Figures (5)

Fig. 1.
Fig. 1.

Cross sections of acoustic wave velocity surfaces for Pb2P2Se6 crystals by the crystallographic planes (a) ab, (b) bc, and (c) ac.

Fig. 2.
Fig. 2.

Dependences of obliquity angle on tracing angle in the ac plane for the acoustic waves propagating in Pb2P2Se6 crystals (the angles at which the slowest wave QT2 propagates are indicated by arrows).

Fig. 3.
Fig. 3.

Angles characterizing deviations from purely transversal polarization state for the QT1 waves and purely longitudinal polarization state for the QL waves versus the tracing angle in the ac plane for Pb2P2Se6 crystals.

Fig. 4.
Fig. 4.

Schematic representation of AO interaction with the slowest (a) QL and (b) QT1 waves. 1 and 2, isotropic diffraction; 3, anisotropic diffraction. (Here we have used the parameters of the Fresnel ellipsoid known for Sn2P2S6 [22]).

Fig. 5.
Fig. 5.

(a) Velocity of the slowest acoustic wave QT versus angle of rotation of the coordinate system around the b axis, (b) surface of the acoustic wave velocity QT1, and (c) its cross section by the cb plane for Pb2P2Se6 crystals.

Tables (4)

Tables Icon

Table 1. Acoustic Wave Velocities Obtained Experimentally for Pb2P2Se6 Crystals

Tables Icon

Table 2. Elastic Stiffness Coefficients for Pb2P2Se6 Crystals

Tables Icon

Table 3. Elastic Compliance Coefficients for Pb2P2Se6 Crystals

Tables Icon

Table 4. Minimal Velocities Typical for the Acoustic Waves Propagating in the Crystallographic Planes of Pb2P2Se6 Crystals

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

ϕbΔb=arctan1v(ϕb)v(ϕb)ϕb,
ζb=ϕb12arctan[2cos2(ϕb)C15+2sin2(ϕb)C35+sin(2ϕb)(C13+C55)cos2(ϕb)(C55C11)+sin2(ϕb)(C33C55)+sin(2ϕb)(C35C15)],
{ΔE1=ΔB11D1+ΔB12D2+ΔB13D3ΔE2=ΔB21D1+ΔB22D2+ΔB23D3ΔE3=ΔB31D1+ΔB32D2+ΔB33D3.
{ΔE1=p12e2D1+p62e2D2+p52e2D3ΔE2=p62e2D1+p22e2D2ΔE3=p52e2D1+p32e2D3.
{ΔE1p12e2D1ΔE2p22e2D2ΔE3p32e2D3.
e3=e0cos239°,e2=e0sin239°,e4=12e0sin78°,
{ΔE1(p12sin239°+p13cos239°)e0D1ΔE2(p22sin239°+p23cos239°)e0D212p44sin78°e0D3ΔE3(p32sin239°+p33cos239°)e0D312p44sin78°e0D2.

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