Tables

Table 1

 Gain parameters (averaged over the range g < 2000 cm-1) for a single quantum well, extracted from data given in [28].
Quantum-well thickness, Å ntr,1019cm-3 b,103cm-1
30 1.62 9.05
40 1.22 6.72
50 1.03 5.05
60 0.93 3.99
70 0.87 3.20
80 0.89 3.01

Table 2

 Standard set of parameters used to model GaN VCSELs.
Parameter Symbol Value
wavelength lambda 370 nm
active-region radius rA 5 µm
active-region thickness dA 40 D (QW) 0.2 µm (B)
monomolecular recombination A 1.0.108 s-1
bimolecular recombination B 1.5.10-11 cm3s-1
Auger recombination C 1.4.10-31 cm6s-1
differential gain a 2.5.10-16 cm2
gain parameter b 6.72.103 cm-1
transparency concentration ntr 1.22.1019 cm-3(QW) 7.5.1018 cm-3 (B)
dislocation density ND 3.108 cm-2
free-carrier losses alphafc 1 cm-1
material losses alpham 10 cm-1
mirror losses alphaM 10 cm-1
AlN refractive index nAlN 2.21
GaN refractive index nGaN 2.74
Al0.1Ga0.9N refractive index nAlGaN,S 2.55
Al0.15Ga0.85N refractive index nAlGaN,DBR 2.5

Table 3

 Threshold currents of nitride VCSELs for various active region radius rA, dislocation density ND and number of periods of the rear mirror mR (mF = mR - 10) for gain-guided (GG) and index guided (IG) laser structures with bulk as well as single (S) and multiple (M) quantum well (QW) active regions (RFRR = 0.999, except alphaend part).
bulk bulk SQW SQW 5-MQW 5-MQW
alphadiff rA jth (GG) jth (IG) jth (GG) jth (IG) jth (GG) jth (IG)
cm-1 µm kA/cm2 kA/cm2 kA/cm2 kA/cm2 kA/cm2 kA/cm2
5 7 6.2 5.9 3.3 1.5 1.9 1.7
11 5 6.4 5.9 7.7 1.5 2.2 1.7
93 3 10.3 5.9 1.7·107 1.5 18.3 1.7
175 2.5 15.2 5.9 1.0·1014 1.5 217 1.7
alphascatt cm-1 ND 108cm2





0 0 6.2 5.7 3.8 0.8 2.0 1.5
5 3 6.4 5.9 7.7 1.5 2.2 1.7
30 20 7.6 7.0 425 59.1 4.1 3.0
300 200 28.1 27.0 4.9·1024 5.3·1023 2.5·104 1.6·104
alphaend cm-1 mR





1.3 44 6.3 5.8 5.6 1.1 2.1 1.6
3.5 40 6.4 5.9 7.7 1.5 2.2 1.7
15.4 34 6.9 6.4 47.0 7.7 2.9 2.2
32.4 31 7.6 7.1 797 106 4.4 3.31
alpham,P=alpham,N cm-1 dP +dN µm





0 0.6 6.1 5.6 2.7 0.6 1.9 1.4
10 0.6 6.2 5.8 4.5 0.93 2.0 1.6
100 0.6 7.6 7.1 780 100 4.6 3.4
300 0.6 11.3 10.6 4.7·108 5.1·107 34.0 25.0
500 0.6 16.0 16.0 3.6·1014 3.9·1013 350 240
0 1 6.2 5.7 3.3 0.7 1.9 1.5
10 1 6.4 5.9 7.7 1.5 2.2 1.7
100 1 8.8 8.3 7.3·104 8300 8.7 6.4
300 1 16.0 15.0 4.0·1014 4.3·1013 320 220
500 1 25.0 24.0 2.3·1024 2.5·1023 22000 14000 
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last updated Monday, October 26, 1998 9:56:42 AM.

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