LBO (Nonlinear Crystal)
LiB3O5 (Lithium Triborate) nonlinear crystal is one of the most excellent nonlinear optical crystals found so far that can be used for non-critical phase matching laser frequency doubling.
It has good nonlinear optical and stable physical and chemical properties, which is especially important because its dispersion amount is sensitive to temperature changes.
Due to its large damage threshold, it can achieve non-critical phase matching during the frequency doubling process, which means it can achieve high-power fundamental pumping. Also, longer optical crystals can be used, which are undoubtedly useful for obtaining high-power frequency doubling lasers.
At 1.064 μm light, the effective SHG coefficient of the LBO nonlinear crystal is three times higher than that of the KDP.
The optical damage threshold of the LBO is the highest among the commonly used inorganic nonlinear optical crystals. Therefore, it is among the best choices for high-power second harmonic generators and other nonlinear optical applications.
Features of LBO Nonlinear Crystal:
- High optical uniformity
- Wide transparent area
- Wide tunable wavelength range
- low sensitivity to moisture
- Wide receiving angle, small discrete angle
- Spectral Noncritical Phase Matching (NCPM) close to 1300 nm
- Class I, II Non-Critical Phase Matching (NCPM) Wideband Range
- High damage threshold (1053 nm laser with a pulse width of 1.3ns can reach 10GW/cm2)
- High frequency doubling conversion efficiency (equivalent to 3 times that of KDP crystal)
Physical and Chemical Properties
Attribute | Numerical |
Chemical Formula | LiB3O5 |
Crystal Structure | Rhombic, Space GroupPna21,Point Group mm2 |
Lattice Constant | a=8.4473Å ,b=7.3788Å, c=5.1395Å, Z=2 |
Mass Density | 2.47 g/cm3 |
Mohs Hardness | 6 |
Melting Point | About 834°C |
Thermal Conductivity | 3.5W/m/K |
Birefringence | Negative Biaxial Crystal:λ=0.5321μm,2Vz =109.2˚ |
Nonlinear Optical Properties
Attribute | Numerical |
SHG Phase Matching Range | 551 ~ 2600nm (Type I);790-2150nm (Type II) |
NLO Coefficient | deff(I)=d32cosΦ(Type I in the XY Plane) |
deff(I)=d31cos2θ+d32sin2θ(Type I in the XZ Plane) | |
deff(II)=d31cosθ(Type II in the YZ Plane) | |
deff(II)=d31cos2θ+d32sin2θ(Type II in the XZ Plane) | |
NLO Sensitivity Does not Disappear | d31=1.05 ± 0.09 pm/V |
d32=-0.98 ± 0.09 pm/V | |
d33= 0.05 ± 0.006 pm/V | |
Thermal-optical Coefficient(°C<,<λinμm) | dnx/dT=-9.3X10-6 |
dny/dT=-13.6X10-6 | |
dnz/dT=(-6.3-2.1λ)X10-6 | |
Angle to Accept | 6.54mrad-cm(Φ,I型,1064 SHG)15.27mrad-cm(q,II型,1064 SHG) |
Linear Optical Properties
Attribute | Numerical |
Transparent Range | 169 – 2600 nm |
Absorption Coefficient | <0.1%/cm @1064nm;<0.3%/cm @532nm |
Refractive Index, | #colspan# |
At 1.0642 mm | nx= 1.5656, ny= 1.5905, nz= 1.6055 |
At 0.5321 mm | nx = 1.5785, ny = 1.6065, nz = 1.6212 |
At 0.2660 mm | nx = 1.5973, ny = 1.6286, nz = 1.6444 |
Sellmeier Equation(λ in μm) | nx2=2.454140+0.011249/(λ2-0.011350)-0.014591λ2-6.60×10-5λ4 |
ny2=2.539070+0.012711/(λ2-0.012523)-0.018540λ2+2.0×10-4λ4 | |
nz2=2.586179+0.013099/(λ2>-0.011893)-0.017968λ2-2.26×10-4λ4 |
Phase Matching Angle Experimental Value (T=293K)
Interaction Wavelength[μm] | Φexp [deg] | θexp [deg] |
XY Plane θ= 90° | ||
SHG, o+o ⇒ e | ||
1.908⇒0.954 | 23.8 | |
1.5⇒0.75 | 7 | |
1.0796⇒0.5398 | 10.6/10.7 | |
1.0642⇒0.5321 | 11.3/11.4/11.6/11.8 | |
0.946⇒0.473 | 19.4/19.5 | |
0.930⇒0.465 | 21.3 | |
0.896⇒0.448 | 23.25 | |
0.88⇒0.44 | 24.53 | |
0.850⇒0.425 | 27 | |
0.84⇒0.42 | 27.92 | |
0.836⇒0.418 | 28.3 | |
0.80⇒0.40 | 31.7 | |
0.794⇒0.397 | 32.3 | |
0.786⇒0.393 | 33 | |
0.78⇒0.39 | 33.7 | |
0.7735⇒0.38675 | 34.4 | |
0.75⇒0.375 | 37.13/37 | |
0.746⇒0.373 | 37.5 | |
0.7094⇒0.3547 | 41.8/41.9/42/43.5 | |
0.63⇒0.315 | 55.6 | |
0.555⇒0.2775 | 86 | |
0.554⇒0.277 | 90 | |
SFG, o+o ⇒ e | ||
1.3414+0.6707⇒0.44713 | 20 | |
1.0642+0.5321⇒0.35473 | 37/37.1/37.2 | |
1.053+0.5265⇒0.351 | 38.2 | |
1.0642+0.35473⇒0.26605 | 60.7/61 | |
0.86+0.43⇒0.2867 | 61 | |
1.3188+0.26605⇒0.22139 | 70.2 | |
0.21284+2.35524⇒0.1952 | 50.3 | |
0.21284+1.90007⇒0.1914 | 63.8 | |
0.21284+1.58910⇒0.18774 | 88 | |
YZ Plane, Φ=90◦ | ||
SHG, o+e ⇒ o | ||
1.908⇒0.954 | 46.2 | |
1.5⇒0.75 | 14.7 | |
1.0796⇒0.5398 | 19.2 | |
1.0642⇒0.5321 | 19.9/20.5/20.6/21.0 | |
SFG, o+e⇒ o | ||
1.0641+0.53205⇒0.3547 | 42/42.7 | |
1.0642+0.5321⇒0.35473 | 42.2/42.5/43.2 | |
XZ Plane, Φ=0◦, θ<VZ | ||
SHG, e+o ⇒ e | ||
1.3414⇒0.6707 | 3.6/4.2/5.0 | |
1.3188⇒0.6594 | 5.2 | |
1.3⇒0.65 | 5.4 | |
XZ Plane, Φ=0◦, θ>VZ | ||
SHG, e+e ⇒ o | ||
1.3414⇒0.6707 | 86.1/86.3/86.6 | |
1.3188⇒0.6594 | 86 | |
1.3⇒0.65 | 86.1 | |
1.24⇒0.62 | 86 |
Experimental Values of Non-critical Phase Matching (NCPM) Temperature
Interaction Wavelength[μm] | T[℃] |
Along the X-Axis SHG, typeⅠ | |
1.547⇒0.7735 | 117 |
1.46⇒0.73 | 50 |
1.252⇒0.626 | 3.5 |
1.25⇒0.625 | -2.9 |
1.215⇒0.6075 | 21 |
1.211⇒0.6055 | 20 |
1.206⇒0.603 | 24 |
1.2⇒0.6 | 24.3 |
1.15⇒0.575 | 61.1 |
1.135⇒0.5675 | 77.4 |
1.11⇒0.555 | 108.2 |
1.0796⇒0.5398 | 112 |
1.0642⇒0.5321 | 148/148.5/149/149.5/151 |
1.047⇒0.523 | 166.5/167/172/175/176.5/180 |
1.025⇒0.5125 | 190.3 |
SFG, typeⅠ | |
1.908+1.0642⇒0.6832 | 81 |
1.444+1.08⇒0.6179 | 23 |
1.135+1.0642⇒0.5491 | 112 |
1.547+0.7735⇒0.5157 | 141 |
DFG, typeⅠ | |
0.532-0.8⇒1.588 | 135 |
Along the Z Axis SHG, type II | |
1.342⇒0.671 | 35 |
1.3⇒0.65 | 46 |
Spectrum
References
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