Chapter

Chapter 1.7 Nonlinear optical properties

Physical properties of crystals

First Online Edition (2006)

Part 1. Tensorial aspects of physical properties

  1. B. Boulanger1,
  2. J. Zyss2

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000634

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Boulanger, B. and Zyss, J. 2006. Nonlinear optical properties. International Tables for Crystallography. D:1:1.7:178–219.

Author Information

  1. 1

    Laboratoire de Spectrométrie Physique, Université Joseph Fourier, 140 avenue de la Physique, BP 87, 38 402 Saint-Martin-d’Hères, France

  2. 2

    Laboratoire de Photonique Quantique et Moléculaire, Ecole Normale Supérieure de Cachan, 61 Avenue du Président Wilson, 94235 Cachan, France

Publication History

  1. Published Online: 1 JAN 2006

Abstract

This chapter deals mainly with harmonic generation and parametric interactions in anisotropic crystals. Section 1.7.2 describes second- and higher-order electric susceptibilities. Section 1.7.3 is devoted to propagation phenomena, particularly in the case of three-wave and four-wave interactions, to the conditions of phase matching and to resonant and non-resonant second harmonic generation. Section 1.7.4 shows how the basic nonlinear parameters are determined and Section 1.7.5 gives a survey of the main nonlinear crystals.

Keywords:

  • ABDP and Kleinmann symmetries;
  • Gaussian beams;
  • Maker fringes;
  • Manley–Rowe relations;
  • Sellmeier equations;
  • acceptance bandwidths;
  • biaxial classes;
  • biaxial crystals;
  • coherence length;
  • contraction;
  • conversion efficiency;
  • dielectric polarization;
  • dielectric susceptibility;
  • dielectric tensor;
  • difference-frequency generation;
  • electric polarization;
  • field tensors;
  • figure of merit;
  • index surface;
  • nonlinear crystals;
  • nonlinear optics;
  • optical parametric oscillation;
  • parametric amplification;
  • phase matching;
  • phase mismatch;
  • polarization;
  • quasi phase matching;
  • second harmonic generation;
  • sum-frequency generation;
  • third harmonic generation;
  • undepleted pump approximation;
  • uniaxial classes;
  • uniaxial crystals;
  • walk-off