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Generation of mutual coherence of eigenvibrations in α -quartz at infrared frequencies by incidence of randomly polarized waves

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Abstract

Considering the interaction of the electric field of the incident light and piezoelectric lattice vibrations at infrared frequencies, we proposed the relationships to describe eigenvibrations in α-quartz. Orthogonal eigenvibrations are found to be the correlated oscillations with mutual coherence. Such arguments were confirmed by generation of polarized waves on reflection of randomly polarized incident light from α-quartz. By incidence of randomly polarized infrared light, the reflected waves are found to be polarized and vibrate in two directions of eigenpolarizations with mutual coherence, corresponding to the ordinary and extraordinary waves, respectively. This observation provides a novel technique to develop the new type of polarizer in the infrared frequency region.

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References

  1. M. Born, E. Wolf, In: Principles of Optics (University Press, Cambridge, 1999)

    Google Scholar 

  2. C.W. Oseen, Ann. Phys. 48, 1 (1915)

    Google Scholar 

  3. P.P. Ewald, Ann. Phys. 49, 1 (1916)

    Google Scholar 

  4. G.P. Agrawal, E. Wolf, J. Opt. Soc. Am. A 17, 2019 (2002)

    ADS  Google Scholar 

  5. J. Tervo, T. Setälä, A.T. Friberg, Opt. Express 11, 1137 (2003)

    Article  ADS  Google Scholar 

  6. P. Réfrégier, Opt. Lett. 23, 3117 (2005)

    Article  Google Scholar 

  7. G.S. Agarwal, A. Gogariu, T.D. Visser, E. Wolf, Opt. Lett. 30, 120 (2005)

    Article  ADS  Google Scholar 

  8. E. Hecht, In: Optics (Addison Wesley, San Francisco, 2002)

    Google Scholar 

  9. C.Z. Tan, T.B. Wang, H. Chen, Z.G. Liu, Opt. Lett. 28, 1466 (2003)

    ADS  Google Scholar 

  10. C.Z. Tan, Solid State Commun. 131, 405 (2004)

    Article  ADS  Google Scholar 

  11. C.Z. Tan, Appl. Phys. B 80, 875 (2005)

    Article  ADS  Google Scholar 

  12. C.Z. Tan, C.Z. Tan, L. Cao, T.B. Wang, Mater. Res. Bull. 38, 1519 (2003)

    Article  Google Scholar 

  13. C.Z. Tan, L. Cao, Phys. Lett. A 351, 113 (2006)

    Article  ADS  Google Scholar 

  14. D. Royer, E. Dieulesaint, In: Elastic Waves in Solids I (Springer, Berlin, 1999)

    Google Scholar 

  15. S.H. Wemple, M. DiDomenico Jr., Phys. Rev. B 3, 1338 (1971)

    Article  ADS  Google Scholar 

  16. W.G. Cady, In: Piezoelectricity I (Dover Publ. Inc., New York, 1964)

    Google Scholar 

  17. C.Z. Tan, Appl. Phys. B 82, 633 (2006)

    Article  ADS  Google Scholar 

  18. J.F. Nye, In: Physical Properties of Crystals (University Press, Oxford, 1986)

    Google Scholar 

  19. ed. by E.D. Palik, Handbook of Optical Constants of Solids (Academic, New York, 1985)

  20. W.G. Spitzer, D.A. Kleinman, Phys. Rev. 121, 1324 (1961)

    Article  ADS  Google Scholar 

  21. D.A. Kleinman, W.G. Spitzer, Phys. Rev. 125, 16 (1962)

    Article  ADS  Google Scholar 

  22. T. Setälä, J. Tervo, A.T. Friberg, Opt. Lett. 31, 2208 (2006)

    Article  ADS  Google Scholar 

Download references

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Correspondence to C.Z. Tan.

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42.70.Ce; 77.22.Ej; 77.65.Ly; 78.20. Ci; 78.30.-j

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Tan, C., Li, H. & Chen, L. Generation of mutual coherence of eigenvibrations in α -quartz at infrared frequencies by incidence of randomly polarized waves. Appl. Phys. B 86, 129–137 (2007). https://doi.org/10.1007/s00340-006-2470-0

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  • DOI: https://doi.org/10.1007/s00340-006-2470-0

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