Field-factor formalism for the study of the tensorial symmetry of four-wave nonlinear optical parametric interactions in uniaxial and biaxial crystals

B. Boulanger, J. P. Fève, and G. Marnier
Phys. Rev. E 48, 4730 – Published 1 December 1993
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Abstract

We establish a complete treatment of the tensorial symmetry properties of the four-wave sum and difference frequency mixing, phase matched in uniaxial and biaxial crystals. This study is based on the formalism of the ‘‘field factor’’ which we have previously introduced [B. Boulanger and G. Marnier, Opt. Commun. 79, 102 (1990)]. The 14 configurations of polarization allowing phase matching are considered and the corresponding effective coefficient is calculated for the 19 uniaxial and 8 biaxial classes. The effective coefficient is nil in a few cases. The inequalities between refractive indices, which determine the collinear phase-matching directions, are given according to the optical sign. We calculate the field factors for three real nonlinear crystals: BaB2O4, KTiOPO4, and thiosemicarbazide cadmium chloride monohydrate.

  • Received 16 June 1993

DOI:https://doi.org/10.1103/PhysRevE.48.4730

©1993 American Physical Society

Authors & Affiliations

B. Boulanger, J. P. Fève, and G. Marnier

  • Laboratoire de Structures Atomiques et Propriétés Physiques du Milieu Cristallin, Université de Nancy I, Faculté des Sciences, Boîte Postale 239, 54506 Vandoeuvre-lès-Nancy Cédex, France

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Vol. 48, Iss. 6 — December 1993

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