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Applied Optics

Applied Optics


  • Vol. 34, Iss. 27 — Sep. 20, 1995
  • pp: 6130–6135

Expression of third-order effective nonlinear susceptibility for third-harmonic generation in crystals

Xue-lin Yang and Sheng-wu Xie  »View Author Affiliations

Applied Optics, Vol. 34, Issue 27, pp. 6130-6135 (1995)

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Third-harmonic-generation processes in crystals are governed by the fourth-rank tensor χ i j k l ( 3 ), which reflects the crystal symmetry. In this case, the third-order nonlinear susceptibility tensor can be contracted to the compact matrix form χ i m ( 3 ). The matrices χ i m ( 3 ) for isotropic media and all 32 crystallo-graphic point groups are presented. With these matrices, the analytic expressions of third-order effective nonlinear susceptibility can be easily derived.

© 1995 Optical Society of America

Original Manuscript: October 28, 1994
Revised Manuscript: December 14, 1994
Published: September 20, 1995

Xue-lin Yang and Sheng-wu Xie, "Expression of third-order effective nonlinear susceptibility for third-harmonic generation in crystals," Appl. Opt. 34, 6130-6135 (1995)

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