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The third-order nonlinear optical coefficients of Si, Ge, and Si1− x Ge x in the midwave and longwave infrared
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10.1063/1.3592270
/content/aip/journal/jap/110/1/10.1063/1.3592270
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/1/10.1063/1.3592270
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Figures

Image of FIG. 1.
FIG. 1.

(Color online) (a) Experimental of Si in the literature as a function of wavelength. Data points are determined from Refs. 14–21 (circles), Ref. 22 (upward triangles), Ref. 23 (downward triangles), and Ref. 27 (diamonds). Theoretical dispersion curves discussed here are fitted to Ref. 22 (Bristow et al.) and to Ref. 23 (Lin et al.). Inset lists the and n2 at 1.55 μm (telecommunication wavelength), 2.2 μm (TPA cutoff), 3.39 μm (HeNe laser), and 4.26 μm (a CO2 absorption band). A resulting average dispersion curve is shown which act as a reference for designers dealing with Si (b) Experimental of Ge in the literature as a function of wavelength. Ge data points are determined from Refs. 30–33 (circles) and Ref. 34 (diamonds). Two theoretical dispersive curves are used to set the upper and lower bound of the experimental data points. A resulting average dispersion curve is shown which act as a reference for designers dealing with Ge. Inset lists the and n2 at 3.17 μm (TPA cutoff), 3.39 μm (HeNe laser), and 4.26 μm (a CO2 absorption band).

Image of FIG. 2.
FIG. 2.

(Color online) (a) Calculated bandgap energy of EΓ Δ , EΓ L , and Eg of Si1− x Ge x alloy with respect to the atomic fraction of Ge. (b) Calculated of Si1− x Ge x alloy at the 6 μm wavelength with respect to the atomic fraction of Ge using the direct and indirect bandgap models.

Image of FIG. 3.
FIG. 3.

(Color online) Theoretical dispersion curves of Si1− x Ge x alloy with x = 0.2, 0.4, 0.8, and 0.9.

Image of FIG. 4.
FIG. 4.

(Color online) (a) Experimental β TPA of Si in the literature as a function of wavelength. Data points are determined from Refs. 14–16, 20, 30, 40, and 41 (circles), Ref. 22 (upward triangles), Ref. 23 (downward triangles), Ref. 27 (diamonds), and Ref. 42 (squares). One theoretical dispersion curve is fitted to Ref. 22 (Bristow et al.) and another to Ref. 23 (Lin et al.). (b) Experimental β TPA of Ge in the literature as a function of wavelength. Data points are determined from Refs. 44 (diamond), 45 (triangles), and 47 (circles). A theoretical dispersion curve is fitted to the data points.

Image of FIG. 5.
FIG. 5.

(Color online) Theoretical β TPA dispersion curves of Si1− x Ge x alloy with (a) x = 0.2, 0.4, and 0.6 using the indirect bandgap model and (b) x = 0.8, 0.9, 0.95, and 1 using the direct bandgap model.

Image of FIG. 6.
FIG. 6.

(Color online). Calculated TPA cut-off wavelength of Si1− x Ge x alloy with respect to the atomic fraction of Ge.

Image of FIG. 7.
FIG. 7.

(Color online) (a) Experimental gR of Si in literature as a function of the Stoke’s wavelength. Data points are determined from Refs. 39 and 50–55 (circles) and Ref. 10 (diamonds). A theoretical dispersion curve is fitted to the data points for Si. An estimated dispersion curve for Ge is shown. (b) The estimated gR of Si1− x Ge x alloy at the 6 μm Stoke’s wavelength with respect to the atomic fraction of Ge.

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/content/aip/journal/jap/110/1/10.1063/1.3592270
2011-07-14
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The third-order nonlinear optical coefficients of Si, Ge, and Si1−xGex in the midwave and longwave infrared
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/1/10.1063/1.3592270
10.1063/1.3592270
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