Table 1.7.3.2

Boulanger, B.; Zyss, J.

doi:10.1107/97809553602060000634

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

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International Tables for Crystallography (2006). Vol. D. ch. 1.7, p. 189

Table 1.7.3.2

B. Boulanger^a ^* and J. Zyss^b

^a Laboratoire de Spectrométrie Physique, Université Joseph Fourier, 140 avenue de la Physique, BP 87, 38 402 Saint-Martin-d'Hères, France, and ^bLaboratoire de Photonique Quantique et Moléculaire, Ecole Normale Supérieure de Cachan, 61 Avenue du Président Wilson, 94235 Cachan, France
Correspondence e-mail: benoitb@satie-bourgogne.fr

Table 1.7.3.2 | top | pdf |
Correspondence between the phase-matching relations, the configurations of polarization and the types according to SFG ( $[\omega_4=\omega_1+\omega_2+\omega_3]$ ), DFG ( $[\omega_1=\omega_4-\omega_2-\omega_3]$ ), DFG ( $[\omega_2=\omega_4-\omega_1-\omega_3]$ ) and DFG ( $[\omega_3=\omega_4-\omega_1-\omega_2]$ ) (Boulanger et al., 1993)

Phase-matching relations	Configurations of polarization				Types of interaction
Phase-matching relations	ω ₄	ω ₁	ω ₂	ω ₃	SFG (ω₄)	DFG (ω₁)	DFG (ω₂)	DFG (ω₃)
$[\omega_4 n_4^-=\omega_1 n_1^+ +\omega_2 n_2^+ +\omega_3 n_3^+]$	e ⁻	e ⁺	e ⁺	e ⁺	I	II	III	IV
$[\omega_4n_4^-=\omega_1n_1^-+\omega_2n_2^-+\omega_3n_3^+]$	e ⁻	e ⁻	e ⁻	e ⁺	II	III	IV	I
$[\omega_4n_4^-=\omega_1n_1^-+\omega_2n_2^++\omega_3n_3^-]$	e ⁻	e ⁻	e ⁺	e ⁻	III	IV	I	II
$[\omega_4n_4^-=\omega_1n_1^++\omega_2n_2^-+\omega_3n_3^-]$	e ⁻	e ⁺	e ⁻	e ⁻	IV	I	II	IV
$[\omega_4n_4^-=\omega_1n_1^-+\omega_2n_2^++\omega_3n_3^+]$	e ⁻	e ⁻	e ⁺	e ⁺	V⁴	V¹	V²	V³
$[\omega_4n_4^-=\omega_1n_1^++\omega_2n_2^-+\omega_3n_3^+]$	e ⁻	e ⁺	e ⁻	e ⁺	VI⁴	VI¹	VI²	VI³
$[\omega_4n_4^-=\omega_1n_1^++\omega_2n_2^++\omega_3n_3^-]$	e ⁻	e ⁺	e ⁺	e ⁻	VII⁴	VII¹	VII²	VII³