Symmetry and phase-matching properties of third-harmonic generation under the photoelastic effect in Ge-As-Se chalcogenide glasses

Julien Douady; Benoît Boulanger; Emmanuel Fuchs; Frédéric Smektala; Johann Troles

doi:10.1364/JOSAB.22.001486

Journal of the Optical Society of America B
Vol. 22,
Issue 7,
pp. 1486-1492
(2005)
•https://doi.org/10.1364/JOSAB.22.001486

Symmetry and phase-matching properties of third-harmonic generation under the photoelastic effect in Ge–As–Se chalcogenide glasses

Julien Douady, Benoît Boulanger, Emmanuel Fuchs, Frédéric Smektala, and Johann Troles

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Julien Douady, Benoît Boulanger, Emmanuel Fuchs, Frédéric Smektala, and Johann Troles, "Symmetry and phase-matching properties of third-harmonic generation under the photoelastic effect in Ge-As-Se chalcogenide glasses," J. Opt. Soc. Am. B 22, 1486-1492 (2005)

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Abstract

We discuss the study of three chalcogenide glasses of high third-order nonlinear electric susceptibility, $As {Se}_{4}, Ge {Se}_{4}$ , and $GeAs {Se}_{8}$ . We measured the strain optical coefficients, and we determined dispersion equations of the refractive index from previously published measurements. From these data, we performed a theoretical study of a new scheme for third-harmonic generation in a glass where phase matching is created by a photoelastic effect. A complete symmetry analysis based on Curie principle allowed us to define the configuration of polarization of the interacting waves, leading to a nonzero cubic effective coefficient. The generated third-harmonic intensity is then calculated.

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Photoelastic Parameters	Wavelength $(μ m)$	$Ge {Se}_{4}$	$GeAs {Se}_{8}$	$As {Se}_{4}$
$B ({Pa}^{- 1})$	1.8	$- 12.4 \times 10^{- 12}$	$- 17.4 \times 10^{- 12}$	$- 28.8 \times 10^{- 12}$
$B ({Pa}^{- 1})$	1.5	$- 18.0 \times 10^{- 12}$	not measured	$- 40.0 \times 10^{- 12}$
$B ({Pa}^{- 1})$	1.064	$- 23.2 \times 10^{- 12}$	$- 37.9 \times 10^{- 12}$	$- 61.0 \times 10^{- 12}$
$P_{11} = - P_{12} ({Pa}^{- 1})$	1.064	$1.50 \times 10^{- 12}$	$2.16 \times 10^{- 12}$	$3.16 \times 10^{- 12}$

Sellmeier Coefficients	$Ge {Se}_{4}$	$GeAs {Se}_{3}$	$As {Se}_{4}$
a	5.82102	6.61161	6.30148
b	$5.12686 \times 10^{- 4}$	$6.99077 \times 10^{- 4}$	$2.77383 \times 10^{- 4}$
c	$3.25195 \times 10^{- 1}$	$3.63352 \times 10^{- 1}$	$4.73424 \times 10^{- 1}$
d	$1.79964 \times 10^{- 1}$	$1.95354 \times 10^{- 1}$	$1.90546 \times 10^{- 1}$

Compounds	$λ_{opt} (μ m)$	$S_{z z}^{II} (Pa)$
$Ge {Se}_{4}$	8.73	$10.1 \times 10^{8}$
$GeAs {Se}_{8}$	8.32	$7.2 \times 10^{8}$
$As {Se}_{4}$	11.15	$3.4 \times 10^{8}$

Photoelastic Parameters	Wavelength $(μ m)$	$Ge {Se}_{4}$	$GeAs {Se}_{8}$	$As {Se}_{4}$
$B ({Pa}^{- 1})$	1.8	$- 12.4 \times 10^{- 12}$	$- 17.4 \times 10^{- 12}$	$- 28.8 \times 10^{- 12}$
$B ({Pa}^{- 1})$	1.5	$- 18.0 \times 10^{- 12}$	not measured	$- 40.0 \times 10^{- 12}$
$B ({Pa}^{- 1})$	1.064	$- 23.2 \times 10^{- 12}$	$- 37.9 \times 10^{- 12}$	$- 61.0 \times 10^{- 12}$
$P_{11} = - P_{12} ({Pa}^{- 1})$	1.064	$1.50 \times 10^{- 12}$	$2.16 \times 10^{- 12}$	$3.16 \times 10^{- 12}$

Sellmeier Coefficients	$Ge {Se}_{4}$	$GeAs {Se}_{3}$	$As {Se}_{4}$
a	5.82102	6.61161	6.30148
b	$5.12686 \times 10^{- 4}$	$6.99077 \times 10^{- 4}$	$2.77383 \times 10^{- 4}$
c	$3.25195 \times 10^{- 1}$	$3.63352 \times 10^{- 1}$	$4.73424 \times 10^{- 1}$
d	$1.79964 \times 10^{- 1}$	$1.95354 \times 10^{- 1}$	$1.90546 \times 10^{- 1}$

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Journal of the Optical Society of America B