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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 10 — Oct. 1, 1998
  • pp: 2599–2606

Numerical calculations of rotational contributions to the scattering coefficient in a piezoelectric LiTaO3 crystal

Tomasz Bachowicz  »View Author Affiliations


JOSA B, Vol. 15, Issue 10, pp. 2599-2606 (1998)
http://dx.doi.org/10.1364/JOSAB.15.002599


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Abstract

A systematic theoretical analysis is presented of rotational contributions to light scattering in a piezoelectric crystal with small birefringence. The influence of rotational contributions on the intensity of nonelastically scattered light in a LiTaO<sub>3</sub> crystal—a trigonal system with 3m symmetry—is described. Rotation affects the optical signals that result from two quasi-transverse waves. Experimental confirmation of such rotational contributions employed a formalism based on looking for eigenvectors and eigenvalues of a so-called characteristic matrix, which is a function of the direction of acoustic-wave propagation and the elastic constants of the medium, in this case modified by the piezoelectric effect. All calculations were performed (for both the hypersonic and the ultrasonic acoustic ranges) for 514.5-nm light. Velocities of acoustic waves in the hypersonic region were calculated under elastic constants taken from 20.9 to 38.5 GHz. Hypersonic data appear more relevant for investigating the effect that consists in measuring the changes of photon frequency scattered on acoustical phonons lying at the beginning of the first Brillouin zone.

© 1998 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.1440) Physical optics : Birefringence
(290.5840) Scattering : Scattering, molecules

Citation
Tomasz Bachowicz, "Numerical calculations of rotational contributions to the scattering coefficient in a piezoelectric LiTaO3 crystal," J. Opt. Soc. Am. B 15, 2599-2606 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-10-2599


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References

  1. T. Błachowicz and Z. Kleszczewski, “Influence of the rotational contribution to the scattering coefficient in piezoelectric crystals,” in Proceedings of the European Acoustics Association Symposium, 26th Winter School on Molecular and Quantum Acoustics, T. Blachowicz, ed. (Upper Silesian Division of the Polish Acoustical Society, Gliwice, Poland, 1997), pp. 13–16.
  2. T. Błachowicz, “Application of Brillouin light scattering to analysis of acoustic properties of piezoelectric crystals,” Ph.D. dissertation (Institute of Physics, Silesian Technical University, Gliwice, Poland, 1997).
  3. T. Błachowicz and Z. Kleszczewski, “Observation of hypersonic acoustic waves in a LiTaO3 crystal,” Arch. Acoust. 22, 351–357 (1997).
  4. D. F. Nelson and M. Lax, “New symmetry for acousto-optic scattering,” Phys. Rev. Lett. 24, 379–380 (1970).
  5. D. F. Nelson and P. D. Lazay, “Measurement of the rotational contribution to Brillouin scattering,” Phys. Rev. Lett. 25, 1187–1191 (1970).
  6. D. F. Nelson, P. D. Lazay, and M. Lax, “Rotational contribution to Brillouin scattering and higher order photoelastic interactions,” in Proceedings of the Second International Conference on Light Scattering in Solids, M. Balkanski, ed. (Flammarion, Paris, 1971), pp. 477–482.
  7. I. L. Fabielinskii, Molecular Scattering of Light (Plenum, New York, 1968).
  8. J. Xu and R. Stroud, Acousto-optic Devices: Principles, Design and Applications (Wiley, New York, 1992).
  9. T. Błachowicz and Z. Kleszczewski, “Elastic constants of the lithium tantalate crystal in the hypersonic range,” Acoust. Lett. 20, 221–223 (1997).

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