Investigation of two-wave mixing in arbitrary oriented sillenite crystals

E. Shamonina, G. Cedilnik, M. Mann, A. Kiessling, David J. Webb, R. Kowarschik, K.H. Ringhofer

Research output: Contribution to journalArticle

Abstract

A generalized systematic description of the Two-Wave Mixing (TWM) process in sillenite crystals allowing for arbitrary orientation of the grating vector is presented. An analytical expression for the TWM gain is obtained for the special case of plane waves in a thin crystal (|g|d«1) with large optical activity (|g|/?«1, g is the coupling constant, ? the rotatory power, d the crystal thickness). Using a two-dimensional formulation the scope of the nonlinear equations describing TWM can be extended to finite beams in arbitrary geometries and to any crystal parameters. Two promising applications of this formulation are proposed. The polarization dependence of the TWM gain is used for the flattening of Gaussian beam profiles without expanding them. The dependence of the TWM gain on the interaction length is used for the determination of the crystal orientation. Experiments carried out on Bi12GeO20 crystals of a non-standard cut are in good agreement with the results of modelling.
Original languageEnglish
Pages (from-to)49-56
Number of pages8
JournalApplied Physics B
Volume64
Issue number1
DOIs
Publication statusPublished - Dec 1996

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Crystals
Crystal orientation
Gaussian beams
Nonlinear equations
Polarization
Geometry
Experiments

Keywords

  • Two-Wave Mixing process
  • sillenite crystals
  • arbitrary orientation
  • grating vector
  • plane waves
  • thin crystal
  • optical activity

Cite this

Shamonina, E., Cedilnik, G., Mann, M., Kiessling, A., Webb, D. J., Kowarschik, R., & Ringhofer, K. H. (1996). Investigation of two-wave mixing in arbitrary oriented sillenite crystals. Applied Physics B, 64(1), 49-56. https://doi.org/10.1007/s003400050144
Shamonina, E. ; Cedilnik, G. ; Mann, M. ; Kiessling, A. ; Webb, David J. ; Kowarschik, R. ; Ringhofer, K.H. / Investigation of two-wave mixing in arbitrary oriented sillenite crystals. In: Applied Physics B. 1996 ; Vol. 64, No. 1. pp. 49-56.
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Shamonina, E, Cedilnik, G, Mann, M, Kiessling, A, Webb, DJ, Kowarschik, R & Ringhofer, KH 1996, 'Investigation of two-wave mixing in arbitrary oriented sillenite crystals', Applied Physics B, vol. 64, no. 1, pp. 49-56. https://doi.org/10.1007/s003400050144

Investigation of two-wave mixing in arbitrary oriented sillenite crystals. / Shamonina, E.; Cedilnik, G.; Mann, M.; Kiessling, A.; Webb, David J.; Kowarschik, R.; Ringhofer, K.H.

In: Applied Physics B, Vol. 64, No. 1, 12.1996, p. 49-56.

Research output: Contribution to journalArticle

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T1 - Investigation of two-wave mixing in arbitrary oriented sillenite crystals

AU - Shamonina, E.

AU - Cedilnik, G.

AU - Mann, M.

AU - Kiessling, A.

AU - Webb, David J.

AU - Kowarschik, R.

AU - Ringhofer, K.H.

PY - 1996/12

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N2 - A generalized systematic description of the Two-Wave Mixing (TWM) process in sillenite crystals allowing for arbitrary orientation of the grating vector is presented. An analytical expression for the TWM gain is obtained for the special case of plane waves in a thin crystal (|g|d«1) with large optical activity (|g|/?«1, g is the coupling constant, ? the rotatory power, d the crystal thickness). Using a two-dimensional formulation the scope of the nonlinear equations describing TWM can be extended to finite beams in arbitrary geometries and to any crystal parameters. Two promising applications of this formulation are proposed. The polarization dependence of the TWM gain is used for the flattening of Gaussian beam profiles without expanding them. The dependence of the TWM gain on the interaction length is used for the determination of the crystal orientation. Experiments carried out on Bi12GeO20 crystals of a non-standard cut are in good agreement with the results of modelling.

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Shamonina E, Cedilnik G, Mann M, Kiessling A, Webb DJ, Kowarschik R et al. Investigation of two-wave mixing in arbitrary oriented sillenite crystals. Applied Physics B. 1996 Dec;64(1):49-56. https://doi.org/10.1007/s003400050144