Three-photon absorption in direct-gap crystals

S. S. Mitra; N. H. K. Judell; A. Vaidyanathan; A. H. Guenther

doi:10.1364/OL.7.000307

Optics Letters
Vol. 7,
Issue 7,
pp. 307-309
(1982)
•https://doi.org/10.1364/OL.7.000307

Three-photon absorption in direct-gap crystals

S. S. Mitra, N. H. K. Judell, A. Vaidyanathan, and A. H. Guenther

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S. S. Mitra, N. H. K. Judell, A. Vaidyanathan, and A. H. Guenther, "Three-photon absorption in direct-gap crystals," Opt. Lett. 7, 307-309 (1982)

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Abstract

Third-order time-dependent perturbation theory, utilizing parabolic and nonparabolic energy bands and calculated (from band structure) higher bands as intermediate levels, and a Keldysh first-order model are used to calculate three-photon-absorption coefficients of several direct-gap crystals. Third-order perturbation results for CdS at 1.06 μm agree well with the experimental data.

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Experimental	Theoretical	Source
4 × 10⁻⁴ – 4 × 10⁻³		Ashkinadze et al.4
1.1 ± 0.3 × 10⁻²		Penzkofer and Folkenstein5
(1.3 – 4) × 10⁻²		Jayaraman and Lee6
5.7 × 10⁻²		Catalanoeio et al.7
	1.8 × 10⁻³	Present calculation (Keldysh model8)
	8.2 × 10⁻³	Present calculation (parabolic model)
	1.57 × 10⁻²	Present calculation (nonparabolic model)
	2 × 10⁻²	Bassani and Hassan9
	12.5	Yee10

Crystals	Eg (300 K) (eV)	Photon Energy (eV)	Three-Photon Absorption Coefficient (cm³/GW²)
Crystals	Eg (300 K) (eV)	Photon Energy (eV)	Parabolic Model	Nonparabolic Model	Keldysh Model
GaAs	1.4	0.47	3.98 × 10⁻¹	3.98 × 10⁻¹	7.41 × 10⁻²
		0.6	4.27 × 10⁻¹	5.89 × 10⁻¹	1.1 × 10⁻¹
InSb	0.18	0.07	7.76 × 10⁴	9.12 × 10⁴	2.82 × 10⁴
ZnSe	2.58	0.87	1.0	1.0	2.82 × 10⁻³
KCl	8.9	3.0	4.57 × 10⁻⁶	4.68 × 10⁻⁶	3.1 × 10⁻⁶

Experimental	Theoretical	Source
4 × 10⁻⁴ – 4 × 10⁻³		Ashkinadze et al.4
1.1 ± 0.3 × 10⁻²		Penzkofer and Folkenstein5
(1.3 – 4) × 10⁻²		Jayaraman and Lee6
5.7 × 10⁻²		Catalanoeio et al.7
	1.8 × 10⁻³	Present calculation (Keldysh model8)
	8.2 × 10⁻³	Present calculation (parabolic model)
	1.57 × 10⁻²	Present calculation (nonparabolic model)
	2 × 10⁻²	Bassani and Hassan9
	12.5	Yee10

Crystals	Eg (300 K) (eV)	Photon Energy (eV)	Three-Photon Absorption Coefficient (cm³/GW²)
Crystals	Eg (300 K) (eV)	Photon Energy (eV)	Parabolic Model	Nonparabolic Model	Keldysh Model
GaAs	1.4	0.47	3.98 × 10⁻¹	3.98 × 10⁻¹	7.41 × 10⁻²
		0.6	4.27 × 10⁻¹	5.89 × 10⁻¹	1.1 × 10⁻¹
InSb	0.18	0.07	7.76 × 10⁴	9.12 × 10⁴	2.82 × 10⁴
ZnSe	2.58	0.87	1.0	1.0	2.82 × 10⁻³
KCl	8.9	3.0	4.57 × 10⁻⁶	4.68 × 10⁻⁶	3.1 × 10⁻⁶

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Optics Letters