Beta Barium Borate (BBO)
Beta Barium Borate (BBO)
Beta Barium Borate (BBO)
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<strong>Beta</strong> <strong>Barium</strong> <strong>Borate</strong><br />
(<strong>BBO</strong>) Single Crystal<br />
Introduction...<br />
<strong>Beta</strong>-barium borate (<strong>BBO</strong>) has the following<br />
exceptional properties that make it a very important<br />
nonlinear crystal:<br />
• Broad phasematching range from<br />
410 nm to 2100 nm<br />
• Useful optical transmission from<br />
200 nm to 2100 nm<br />
• Large effective nonlinear coefficients<br />
• High laser damage threshold<br />
• Low thermo-optic coefficient<br />
<strong>BBO</strong> is of particular importance in the visible and far<br />
UV. A wide variety of phasematching applications are<br />
possible, including the following:<br />
• Second harmonic generation to generate<br />
wavelengths as short as 204.8 nm [8,9]<br />
transmission<br />
1.00<br />
0.90<br />
0.80<br />
0.70<br />
0.60<br />
0.50<br />
0.40<br />
0.30<br />
0.20<br />
0.10<br />
Optical Transmission of 8 mm Thick <strong>BBO</strong> <strong>BBO</strong><br />
Uncoated & Protectively Coated Coated Crystals Crystals<br />
• Shorter wavelengths can be generated<br />
by sum frequency mixing [7,10]<br />
• Fifth harmonic generation of<br />
Nd:YAG [11,12] by mixing the<br />
fundamental and the fourth harmonic<br />
• UV generation over a broad wavelength<br />
range by mixing the output of a<br />
Ti:sapphire laser.<br />
• Many optical parametric oscillators<br />
(OPOs) have been demonstrated for<br />
producing wavelengths in the visible,<br />
[14,18] near infrared, [19-21] and<br />
the ultraviolet [22]<br />
Transverse field Pockel cells made from <strong>BBO</strong> are useful<br />
when high average powers or short wavelengths are<br />
used, [30] even though the electro-optic coefficients are<br />
relatively small (r 22 ≈(1/10)r 63 of KD*P).<br />
0.00<br />
0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00<br />
wavelength -- - microns<br />
The higher transmission trace results from a <strong>BBO</strong> crystal coated with our standard coating that minimizes reflection at 600 nm on<br />
the input face and at 270 nm on the output face.
Optical and Electro-Optical Properties<br />
Sellmeier Equation Contants (λ in microns @ 20°C)<br />
n = [A + B / (1-C/l2 ) + D / (1 - E/l 2 )] 1/2<br />
o-ray [32] e-ray [32]<br />
A 1.7018379 1.5920433<br />
B 1.0357554 0.7816893<br />
C 0.018003440 0.016067891<br />
D 1.2479989 0.8403893<br />
E 91 91<br />
Temperature Variation of Refractive Index [2,32]<br />
dn o /dT = -16.6•10 -6 /°C @ 1.064 µm<br />
dn e /dT = -9.3•10 -6 /°C @ 1.064 µm<br />
n r = n 20 + (T - 20°C) dn/dT)<br />
dn/dT = (GR + HR 2 ) / (2n)<br />
o-ray [32] e-ray [32]<br />
G -19.3007 x 10 -6 141.421 x 10 -6<br />
H -34.9683 x 10 -6 110.8630 x 10 -6<br />
R λ 2 / [λ 2 − (0.0652) 2 ] λ 2 / [λ 2 − (0.0730) 2 ]<br />
Nonlinear Optical Coefficients [1,2,4] d 22 = 2.2 pm/V<br />
d 32 > -(0.07 ± 0.03) x d 22<br />
d 33 ≈ 0 pm/V<br />
Electro-Optic Coefficients [5,6] r 22 s = 2.1 pm/V<br />
r 22 T = 2.5 pm/V<br />
r c s = 0.11 pm/V<br />
r c T = 0.17 pm/V<br />
Damage Threshold [2] 13.5 J/cm 2 @ 1 nsec<br />
Acceptance Angle, Wavelength Acceptance and Walk Off<br />
Wavelength nm Δθ(mrad-cm) Δλ(nm-cm) Walk-off Angle (°)<br />
1064 + 1064 = 532 0.51 2.11 3.2<br />
532 + 532 = 266 0.17 0.07 4.8<br />
1064 + 266 = 213 0.11 0.08 5.3<br />
488 + 488 = 244 0.16 0.05 4.7<br />
2
Physical and Thermal Properties<br />
Chemical Formula<br />
Crystal Symmetry and Class<br />
β−ΒaB204 trigonal, R3c<br />
Optical Summetry [2] uniaxial negative<br />
Point Group [2] 3m<br />
Lattice Constants [2] a = 12.547(6) Å<br />
c = 12.736(9) Å<br />
Density 3.85 g/cm3 Melting Point 1095°C<br />
Moh’s Hardness 4.5<br />
Fracture Toughness [2] 150 kPa/m2 Dielectric Constants [2] Loss Tangent<br />
K11 = 6.7<br />
K33 = 8.1<br />
[2] Tan δ < 0.001<br />
Phase Transition (α-<strong>BBO</strong> stable above) 925°C<br />
Thermal Conductivity [2]<br />
⊥ c 0.08 W/mK<br />
⏐⏐ c 0.8 W/mK<br />
Specific Heat 1.91 J/cm3K Thermal Expansion [2,3] α11 = 4•10-6 /K<br />
α33 = 36•10-6 /K<br />
Harmonic Generation<br />
Output Wavelength -- microns<br />
1.00<br />
0.90<br />
0.80<br />
0.70<br />
0.60<br />
0.50<br />
0.40<br />
0.30<br />
0.20<br />
0.10<br />
0.00<br />
THG<br />
4HG<br />
5HG<br />
Type I Mixing<br />
Type I Mixing<br />
1+1,<br />
1 +<br />
1+2,<br />
1, 1<br />
1+3,<br />
+ 2,<br />
and<br />
1 + 3<br />
1+4<br />
and 1 + 4<br />
SHG<br />
0 10 20 30 40 50 60 70 80 90<br />
<strong>BBO</strong> <strong>BBO</strong> Phasematch Angle Angle -- - degrees degrees<br />
3
Fundamental Wavelength -- microns<br />
Fundamental Wavelength -- microns<br />
Fundamental Wavelength -- microns<br />
Sum Frequency Mixing Schemes OPO/OPA Phase Matching Curves<br />
2.00<br />
1.80<br />
1.60<br />
1.40<br />
1.20<br />
1.00<br />
0.80<br />
0.60<br />
0.40<br />
Type I SFM with 1.064 microns<br />
0.20<br />
0.168<br />
0 10 20 30 40 50 60 70 80 90<br />
2.00<br />
1.80<br />
1.60<br />
1.40<br />
1.20<br />
1.00<br />
0.80<br />
0.60<br />
0.40<br />
<strong>BBO</strong> Phasematch Angle -- degrees<br />
Type I SFM with 0.532 microns<br />
0.706<br />
0.646<br />
0.587<br />
0.527<br />
0.467<br />
0.407<br />
0.347<br />
0.288<br />
0.228<br />
0.20<br />
0.195<br />
0 10 20 30 40 50 60 70 80 90<br />
2.00<br />
1.80<br />
1.60<br />
1.40<br />
1.20<br />
1.00<br />
0.80<br />
0.60<br />
Genertaed Wavelength -- microns<br />
<strong>BBO</strong> Phasematch Angle -- degrees<br />
Signal and Idler Wavelengths -- microns<br />
75<br />
70<br />
65<br />
60<br />
55<br />
50<br />
45<br />
40<br />
35<br />
30<br />
25<br />
266 nm<br />
213 nm<br />
355 nm<br />
Type I OPO with Various Pumps<br />
Type I SFM with 1.064 microns Type I OPO with Various Pumps<br />
<strong>BBO</strong> Phasematch Angle - degrees<br />
Type I SFM with 0.532 microns<br />
<strong>BBO</strong> Phasematch Angle - degrees<br />
<strong>BBO</strong> Phasematch Angle -- degrees<br />
Type I SFM with 0.355 microns<br />
Type I SFM with 0.355 microns<br />
0.420<br />
0.395<br />
0.370<br />
0.345<br />
0.320<br />
0.295<br />
0.270<br />
0.245<br />
0.220<br />
0.40<br />
0.200<br />
0 10 20 30 40 50 60 70 80 90<br />
<strong>BBO</strong> Phasematch Angle - degrees<br />
<strong>BBO</strong> Phasematch Angle -- degrees<br />
0.304<br />
0.291<br />
0.278<br />
0.265<br />
0.252<br />
0.239<br />
0.226<br />
0.213<br />
Generated Wavelength -- microns<br />
Generated Wavelength -- microns<br />
4<br />
Signal & Idler Wavelengths -- microns<br />
532 nm<br />
20<br />
0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 2.20<br />
Signal & and Idler Wavelengths -- microns - microns<br />
2.30<br />
2.20<br />
2.10<br />
2.00<br />
1.90<br />
1.80<br />
1.70<br />
1.60<br />
1.50<br />
1.40<br />
1.30<br />
Type II OPA with 800 nm Pump<br />
perpendicular to pump<br />
parallel to pump<br />
1.20<br />
25 26 27 28 29 30 31 32 33 34 35 36<br />
2.20<br />
2.00<br />
1.80<br />
1.60<br />
1.40<br />
1.20<br />
1.00<br />
0.80<br />
0.60<br />
Type I<br />
Type II OPA with 800 nm Pump<br />
<strong>BBO</strong> Phasematch Angle - degrees<br />
<strong>BBO</strong> Phasematch Angle -- degrees<br />
Type I and & Type II II Tuning Curves Curves<br />
For OPO / OPA with 400 nm Pump<br />
For OPO/OPA With 400 nm Pump<br />
Type II o-ray<br />
Type II e-ray<br />
0.40<br />
20 30 40 50 60 70<br />
<strong>BBO</strong> Phasematch Angle - degrees<br />
<strong>BBO</strong> Phasematch Angle -- degrees
<strong>BBO</strong> Single Crystals<br />
INRAD can fabricate and polish almost any size crystal<br />
and any orientation of <strong>BBO</strong>. In order to simplify manufacturing,<br />
stocking and ordering, a number of standard<br />
sizes and orientations have been defined. If the size and<br />
orientation that you desire is not listed below, please<br />
Contact INRAD.<br />
Different orientations, crystallographically speaking,<br />
refer to the angles between the beam propagation direction<br />
and the crystallographic direction of the optic axis.<br />
Size (mm)<br />
5 x 5 x 0.1<br />
5 x 5 0.25<br />
5 x 5 x 0.5<br />
5 x 5 x 1.0<br />
5 x 5 x 2.0<br />
5 x 5 x 5<br />
5 x 5 x 10<br />
5 x 7 x 6<br />
5 x 7 x 8<br />
8 x 8 x 5<br />
8 x 8 x 10<br />
8 x 10 x 6.5<br />
8 x 10 x 12<br />
10 x 12 x 6.5<br />
10 x 12 x 8<br />
<strong>BBO</strong> Single Crystals<br />
Corresponding INRAD Cells<br />
530-041, 535-040<br />
530-041, 535-040<br />
530-041, 535-040<br />
530-041, 535-040<br />
530-041, 565-110, 535-040<br />
530-041, 534-040, 535-040, 561-044<br />
534-040, 561-044<br />
561-044<br />
561-044<br />
530-081, 534-070, 561-044<br />
534-070, 561-044<br />
5<br />
All of the orientations that are listed here are Type I,<br />
meaning that the polarization directions of the two longest<br />
wavelengths in the mixing process are in the same direction;<br />
the shortest wavelength in the mixing process has an<br />
orthogonal polarization direction.<br />
Examples of tuning applications are given for each<br />
crystal cut; other applications are also possible.<br />
561-044<br />
561-044<br />
561-044<br />
Notes<br />
CANNOT BE COATED<br />
5-14B & 5-050 size<br />
5-14B size<br />
5-035C & 5-050 size<br />
Autotracker size<br />
Autotracker size<br />
Autotracker size<br />
Autotracker size<br />
OPO size<br />
Autotracker size<br />
Autotracker size
Designation<br />
“0”, 68.5°<br />
“1”, 53.2°<br />
“2”, 37.4°<br />
“A”, 78°<br />
“B”, 55°<br />
“C”, 65°<br />
“TSS”, 28.7°<br />
“TST”, 44°<br />
“OPO1”, 36.6°<br />
“OPO2”, 57.5°<br />
“M1”, 50.2°<br />
“DGN”, 31°<br />
“IDLR”, 20°<br />
“OPO3”, 30°<br />
“SHG”, 22.8°<br />
“DGN”, 81°<br />
“4HG”,47.6°<br />
<strong>BBO</strong> Single Crystals<br />
Operation<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SHG<br />
THG<br />
SFM<br />
SHG<br />
THG<br />
SFM<br />
SFM<br />
SHG<br />
OPO<br />
SHG<br />
THG<br />
4HG<br />
Input Output<br />
418-464 nm<br />
(600-665 nm) + (300-331 nm)<br />
454-560 nm<br />
(651-800 nm) + (325-400 nm)<br />
542-820 nm<br />
(774-1165 nm) + (387-582 nm)<br />
410-433 nm<br />
(594-620 nm) + (297-310 nm)<br />
448--543 nm<br />
(642-775 nm) + (321-358 nm)<br />
423-480 nm<br />
(608-687 nm) + (304-343 nm)<br />
636-1000 nm<br />
(906-2100 nm) + (453-1050 nm)<br />
496-675 nm<br />
(710-960 nm) + (355-480 nm)<br />
549-844 nm<br />
(784-1200 nm) + (392-600 nm)<br />
1064 + (510-567 nm)<br />
440-525 nm<br />
(632-750 nm) + (316-375 nm)<br />
1064 + (243-340) nm<br />
1064 + (510-567 nm)<br />
1380-1460 nm<br />
355 nm<br />
1064 nm<br />
1064 nm + 532 nm<br />
532 nm<br />
Note: An MgF 2 protective coating can be provided on all <strong>BBO</strong> crystals (except for 0.1 mm thick) for additional cost per crystal<br />
6<br />
209-232 nm<br />
200-220 nm<br />
227-280 nm<br />
217-266 nm<br />
271-410 nm<br />
258-388 nm<br />
205-216 nm<br />
198-206 nm<br />
224-271 nm<br />
214-258 nm<br />
211-240 nm<br />
203-229 nm<br />
318-500 nm<br />
302-700 nm<br />
248-337 nm<br />
237-320 nm<br />
275-422 nm<br />
262-400 nm<br />
345-370 nm<br />
220--262 nm<br />
211-250 nm<br />
198-257 nm<br />
345-370 nm<br />
690-730 nm<br />
410-2000 nm<br />
532 nm<br />
355 nm<br />
266 nm
Ordering Information<br />
All crystal growth, orientation, fabrication, polishing,<br />
and testing of <strong>BBO</strong> at INRAD is done at one site, so that<br />
you are assured of complete traceability and satisfaction<br />
with every crystal that you purchase.<br />
Sizes<br />
Specify cross-section and length. Available crystal<br />
lengths range from 50 μm, for extremely short pulse<br />
work, up to about 15 mm for nanosecond OPO/OPA use.<br />
Typical angular phasematching crystal lengths for frequency<br />
mixing of nanosecond sources range from 5 mm<br />
at the shortest wavelengths, up to 10 mm at the longest<br />
wavelengths, with the optimum length largely being determined<br />
by the angular acceptance of the crystal for phasematching.<br />
Orientation<br />
Specify Type I or Type II and the phase match angle, θ.<br />
Crystals are oriented in a double crystal x ray spectrometer<br />
and are typically accurate to ±5 minutes.<br />
Type I<br />
Finishing<br />
Wavefront distortion in transmission is typically λ/10.<br />
Crystals can be wedged, typically 30’ in the less critical<br />
tuning direction or parallel to w 2 w 1 for largest w 3
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30. Phasematching angles are calculated using the Sellmeier Equations given in reference 8.<br />
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8