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Im{χ(3)} spectra of 110-cut GaAs, GaP, and Si near the two-photon absorption band edge
Ist Teil von
Journal of applied physics, 2021-05, Vol.129 (18)
Ort / Verlag
Melville: American Institute of Physics
Erscheinungsjahr
2021
Quelle
AIP Journals Complete
Beschreibungen/Notizen
Spectra of the degenerate two-photon absorption coefficient
β
(
ω
), anisotropy parameter
σ
(
ω
), and dichroism parameter
δ
(
ω
)
=
[
σ
(
ω
)
+
2
η
(
ω
)
]
/
2 of crystalline 110-cut GaAs, GaP, and Si, at 300 K were measured using femtosecond pump–probe modulation spectroscopy over an excitation range in the vicinity of each material’s half-bandgap
E
g
/
2 (overall
0.62
<
ℏ
ω
<
1.91 eV or
2000
>
λ
>
650 nm). Together, these three parameters completely characterize the three independent components of the imaginary part of the degenerate third-order nonlinear optical susceptibility tensor
Im
{
χ
a
b
c
d
(
3
)
(
ω
)
}. In direct-gap GaAs, these components peak at
ℏ
ω
≈
0.78
E
g, which is close to the peak at
ℏ
ω
=
0.71
E
g predicted by the Jones–Reiss phenomenological model. The dispersion is comparable with ab initio calculations. In indirect-gap GaP and Si, these components tend to increase with
ℏ
ω over our tuning range. In Si, the dispersion differs significantly from predictions of semi-empirical models, and ab initio calculations do not account for transitions below the two-photon direct bandgap, motivating further investigation. Kleinman symmetry was observed to be broken in all three materials. We also note anomalies observed and their possible origins, emphasizing the advantages of a 2-beam experiment in identifying the contribution of various nonlinear effects.