Energy band-gap dependence of two-photon absorption

Eric W. Van Stryland; M. A. Woodall; H. Vanherzeele; M. J. Soileau

doi:10.1364/OL.10.000490

Optics Letters
Vol. 10,
Issue 10,
pp. 490-492
(1985)
•https://doi.org/10.1364/OL.10.000490

Energy band-gap dependence of two-photon absorption

Eric W. Van Stryland, M. A. Woodall, H. Vanherzeele, and M. J. Soileau

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Eric W. Van Stryland, M. A. Woodall, H. Vanherzeele, and M. J. Soileau, "Energy band-gap dependence of two-photon absorption," Opt. Lett. 10, 490-492 (1985)

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Abstract

We present measurements of the two-photon absorption coefficients β₂ of 10 different semiconductors having band-gap energies between 1.4 and 3.7 eV. We find that β₂ varies as E_g⁻³, as predicted by theory. In addition, the absolute values of β₂ agree with theory, which includes the effect of nonparabolic bands, the average difference being less than 26%. This agreement permits confident predictions of two-photon absorption coefficients of other materials at other wavelengths.

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Two-photon Absorption: λ = 1.06μm				2ħω = 2.34 eV

Material	form(a)	n(λ)	Eg(eV)	$E_{p}^{(b)} (ev)$	E_b/E_g	$β_{2}^{exp} (\frac{cm}{GW})$	$β_{2}^{theor .} (\frac{cm}{GW})$
ZnTe(c)	Z	2.79(c)	2.26(i)	19.1	0.004(o)	4.5	0.89
CdSe(c)	W	2.56(c)	1.74(j)	21	0.007(i)	18	18.6
CdTe(d)	Z	2.84(c)	1.44(c)	20.7	0.003(o)	22	25.1
CdTe(d)	Zp	2.84(c)	1.44(c)	20.7	0.003(o)	15	25.1
CdS_.5Se_.5(c)	W	2.45(l)	1.93(k)	21	0.010(l)	10	12.1
CdS_.25Se_.75(c)	W	2.51(l)	1.78(k)	21	0.008(l)	15	17.7
GaAs(e)	Z	3.43(i)	1.42(i)	25.7	0.003(o)	23	19.7
Two-photon Absorption: λ = 0.53μm				2ħω = 4.68 eV

Material	form	n(λ)	Eg(eV)	Ep(eV)	E_b/E_g	$β_{2}^{exp} (\frac{cm}{GW})$	$β_{2}^{theor .} (\frac{cm}{GW})$

ZnS(f)	Zp(c)	2.40(i)	3.66(i)	20.4	0.010(i)	2.0	2.10
ZnS(f)	Zp	2.40(i)	3.66(i)	20.4	0.010(i)	3.5	2.10
ZnSe(g)	Zp	2.70(i)	2.67(i)	24.2	0.008(o)	5.5	4.27
CdS(c)	W	2.60(i)	2.42(c)	21	0.012(i)	5.5	4.87
ZnO(h)	W	2.05(i)	3.20(n)	21	0.020(i)	5.0	4.77

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Optics Letters