LBO是紫外波段优良的非线性晶体之一。它已成功地应用于YLF，YAG，YAP激光器的二次谐波和三次谐波的产生。LBO晶体具有宽的透射带、良好的紫外透过率、微潮解、良好的物理化学性质、中等的非线性光学系数、良好的光学均匀性、高的损伤阈值、大的允许角和小的走离角。广泛应用于高平均功率的二次谐波、和频、差频、三次谐波、四次谐波和参数振荡领域。
LBO晶体–非临界相位匹配激光倍频的最佳非线性晶体
LBO的最大优点是可以利用温度调谐来实现非临界相位匹配（NCPM）。当倍频过程满足非临界相位匹配关系时，倍频基频光与倍频二次谐波的走离角为0。此时，LBO晶体的有效长度理论上可以达到无穷大，这可以补偿其小的非线性系数。由于其损伤阈值很大，这意味着可以实现大功率基波抽运。因此，采用LBO晶体的非临界相位匹配进行脉冲激光的腔外倍频，将大大提高基频光的转换效率。频率光的光束质量和稳定性将大大提高。
参数
| 属性 | 数值 |
| 化学式 | LiB3O5 |
| 晶体结构 | 斜方，空间群Pna21，点群mm2 |
| 晶格参数 | a=8.4473Å ,b=7.3788Å, c=5.1395Å, Z=2 |
| 质量密度 | 2.47 g/cm3 |
| 莫氏硬度 | 6 |
| 熔点 | About 834°C |
| 导热系数 | 3.5W/m/K |
| 双折射 | 负双轴晶体：λ=0.5321μm时2Vz =109.2˚ |
| 晶体尺寸/ mm | 长度/mm | 应用 | 方向Theta / Phi deg | 增透膜S1 / S2，nm / nm |
| 5 x 5 | 15 | THG@1064nm, Type II (e-oe) | 42.2/90 | 1064 + 532 / 355 |
| 15 | SHG@1064nm, Type I (e-oo) | 90/11.6 | 1064 + 532 / 1064 + 532 | |
| 6 x 6 | 0.9 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 |
| 1.9 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 | |
| 2.8 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 | |
| 3.7 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 | |
| 10 x 10 | 0.9 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 |
| 1.9 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 | |
| 2.8 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 | |
| 3.7 | SHG@1030nm | 90/13.8 | 515 + 1030 / 515 + 1030 | |
| 3 x 3 | 10 | THG@1064nm, Type II (e-oe) | 42.2/90 | 1064 + 532 / 355 |
| 15 | SHG@1064nm, NCPM I Type | 90/0 | 1064 + 532 / 1064 + 532 | |
| 15 | THG@1064nm, Type II (e-oe) | 42.2/90 | 1064 + 532 / 355 | |
| 15 | SHG@1064nm, Type I (e-oo) | 90/11.6 | 1064 + 532 / 1064 + 532 | |
| 20 | SHG@1064nm, NCPM I Type | 90/0 | 1064 + 532 / 1064 + 532 |
| 属性 | 数值 |
| 方向公差 | < 0.5° |
| 厚度/直径公差 | ±0.05 mm |
| 表面平整度 | <λ/8@632 nm |
| 波前失真 | <λ/4@632 nm |
| 表面质量 | 5-Oct |
| 平行 | 30〞 |
| 垂直 | 15ˊ |
| 通光孔径 | >90% |
| 倒角 | <0.2×45° |
| 属性 | 数值 |
| 透明范围 | 169 – 2600 nm |
| 吸收系数： | <0.1%/cm at 1064nm;<0.3%/cm at 532nm |
| 折光指数 | |
| 在 1.0642 mm | nx = 1.5656, ny = 1.5905, nz=1.6055 |
| 在 0.5321 mm | nx = 1.5785, ny = 1.6065, nz=1.6212 |
| 在 0.2660 mm | nx = 1.5973, ny = 1.6286, nz=1.6444 |
| Sellmeier方程（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 |
| 属性 | 数值 |
| SHG相位匹配范围 | 551 ~ 2600nm (Type I);790-2150nm (Type II) |
| NLO系数 | deff（I）=d32cosΦ（XY平面中的I型） |
| deff（I）=d31cos2θ+d32sin2θ（XZ平面中的I型） | |
| deff（II）=d31cosθ（YZ平面中的II型） | |
| deff（II）=d31cos2θ+d32sin2θ（XZ平面中的II型） | |
| NLO敏感性未消失 | d31=1.05 ± 0.09 pm/V |
| d32=-0.98 ± 0.09 pm/V | |
| d33= 0.05 ± 0.006 pm/V | |
| 热光学系数（°C，λinμm） | dnx/dT=-9.3X10-6 |
| dny/dT=-13.6X10-6 | |
| dnz/dT=(-6.3-2.1λ)X10-6 | |
| 角度接受 | 6.54mrad-cm（Φ，I型，1064 SHG）15.27mrad-cm（q，II型，1064 SHG） |
| T [K] | αt×106[ K-1],||X | αt×106[K-1 ],||Y | αt×106[ K-1],||Z |
| 273 | 107.1 | -95.4 | 33.7 |
| 323 | 108.2 | -88 | 33.6 |
| 373 | 108.3 | -80.9 | 33.2 |
| 423 | 107.3 | -74 | 32.6 |
| 473 | 105.3 | -67.3 | 31.7 |
| 523 | 102.3 | -60.7 | 30.5 |
| 573 | 98.2 | -54.4 | 29.1 |
| 673 | 87 | -42.3 | 25.5 |
| 723 | 79.8 | -36.5 | 23.3 |
| 773 | 71.6 | -30.9 | 20.9 |
| 873 | 52.1 | -20.3 | 15.3 |
| 923 | 40.8 | -15.3 | 12.1 |
| 973 | 28.5 | -10.6 | 8.7 |
| 1023 | 15.1 | -5.9 | 5 |
| 1073 | 0.8 | 1.5 | 1.1 |
| λ[µm] | nX | nY | nZ |
| 0.2537 | 1.6335 | 1.6582 | 1.6792 |
| 0.2894 | 1.6209 | 1.6467 | 1.6681 |
| 0.2968 | 1.6182 | 1.645 | 1.6674 |
| 0.3125 | 1.6097 | 1.6415 | 1.6588 |
| 0.3341 | 1.6043 | 1.6346 | 1.6509 |
| 0.365 | 1.59523 | 1.62518 | 1.64025 |
| 0.4 | 1.58995 | 1.61918 | |
| 0.4047 | 1.5907 | 1.6216 | 1.6353 |
| 0.4358 | 1.5859 | 1.6148 | 1.6297 |
| 0.45 | 1.58449 | 1.61301 | 1.62793 |
| 0.4861 | 1.5817 | 1.6099 | 1.6248 |
| 0.5 | 1.58059 | 1.60862 | 1.62348 |
| 0.525 | 1.57906 | 1.60686 | |
| 0.5321 | 1.57868 | 1.60642 | 1.62122 |
| 0.5461 | 1.578 | 1.6057 | 1.6206 |
| 0.55 | 1.57772 | 1.60535 | 1.62014 |
| 0.578 | 1.5765 | 1.6039 | 1.6187 |
| 0.5893 | 1.576 | 1.6035 | 1.6183 |
| 0.6 | 1.57541 | 1.60276 | 1.61753 |
| 0.6328 | 1.5742 | 1.6014 | 1.6163 |
| 0.6563 | 1.5734 | 1.6006 | 1.6154 |
| 0.7 | 1.59893 | 1.61363 | |
| 0.8 | 1.56959 | 1.59615 | 1.61078 |
| 0.9 | 1.56764 | 1.59386 | 1.60843 |
| 1 | 1.56586 | 1.59187 | 1.60637 |
| 1.0642 | 1.56487 | 1.59072 | 1.60515 |
| 1.1 | 1.56432 | 1.59005 | 1.60449 |
| 相互作用波长[μm] | Φexp [deg] | θexp [deg] |
| XY平面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 平面, 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 平面, 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 平面, 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 |
| 相互作用波长[μm] | T[℃] |
| 沿X轴 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⇒0.5235 | 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 |
| 沿Z轴 SHG, type II | |
| 1.342⇒0.671 | 35 |
| 1.3⇒0.65 | 46 |
| 相互作用波长[μm] | T[℃] | Δφint [deg] | Δθint [deg] | ΔT[℃] |
| 沿X轴 | ||||
| SHG, type I | ||||
| 1.46⇒0.73 | 50 | 6 | ||
| 1.252⇒0.626 | 3.5 | 9 | ||
| 1.206⇒0.603 | 24 | 13 | ||
| 1.135⇒0.5675 | 77.4 | 4.7 | ||
| 1.0642⇒0.5321 | 148 | 3.54 | 2.57 | 3.9 |
| 148.5 | 2.7 | |||
| 149 | 2.3 | 1.9 | 4 | |
| 149.5 | 4.1 | |||
| 151 | 2.1 | 2.1 | 2.9 | |
| 1.047⇒0.5235 | 175 | 3.5 | ||
| SFG, type I | ||||
| 1.908+1.0642⇒0.6832 | 81 | 7.4 | ||
| 1.444+1.08⇒0.6179 | 23 | 4.2 | 3 | |
| 1.135+1.0642⇒0.5491 | 112 | 5 | ||
| DFG, type I | ||||
| 0.532-0.8⇒1.588 | 135 | 3.8 |
| 相互作用波长[μm] | Φpm[deg] | θpm[deg] | Δφint[deg] | Δθint[deg] | ΔT[℃] | Δν[cm-1] |
| XY平面，θ= 90（T = 293K） | ||||||
| SHG, o+o ⇒ e | ||||||
| 1.0796⇒0.5398 | 10.7 | 0.31 | ||||
| 1.0642⇒0.5321 | 10.8 | 0.27 | 2.63 | |||
| 11.4 | 0.24 | 1.79 | ||||
| 11.6 | 5.8 | |||||
| 0.34 | 2.64 | 6.7 | 8.8 | |||
| 0.886⇒0.443 | 24.1 | 7.8 | 15.9 | |||
| 0.870⇒0.435 | 25.4 | 0.12 | 141 | |||
| 0.78⇒0.39 | 33.7 | 0.08 | 194 | |||
| 0.7605⇒0.38025 | 35.9 | 15.3 | 10.5 | |||
| 0.715⇒0.3575 | 41 | 0.06 | ||||
| SFG, o+o ⇒ e | ||||||
| 1.0642+0.3547⇒0.2661 | 60.7 | 3.8 | ||||
| YZ平面，φ= 90（T = 293K） | ||||||
| SHG, o+e ⇒ o | ||||||
| 1.0642⇒0.5321 | 20.6 | 3.2 | 0.77 | |||
| 3 | 0.81 | 11.5 | ||||
| SFG, o+e ⇒ o | ||||||
| 1.0641+0.53205⇒0.3547 | 42 | 0.79 | 0.16 | 6 | ||
| 1.0642+0.5321⇒0.35473 | 42.2 | 0.18 | ||||
| 41 | 3.07 | 0.18 |
| 相互作用波长[μm] | Φpm[deg] | θpm[deg] | β[fs/mm] |
| XY平面，θ=90◦ | |||
| SHG, o+o ⇒ e | |||
| 1.2⇒0.6 | 2.36 | 18 | |
| 1.1⇒0.55 | 9.37 | 37 | |
| 1.0⇒0.5 | 15.74 | 59 | |
| 0.9⇒0.45 | 22.94 | 86 | |
| 0.8⇒0.4 | 31.69 | 123 | |
| 0.7⇒0.35 | 43.38 | 175 | |
| 0.6⇒0.3 | 62.63 | 257 | |
| YZ平面，φ=90◦ | |||
| SHG, o+e ⇒ o | |||
| 1.1⇒0.55 | 15.98 | 82 | |
| 1.0⇒0.5 | 28.96 | 106 | |
| 0.9⇒0.45 | 45.36 | 139 | |
| 0.8⇒0.4 | 76.88 | 186 |
| λ[µm] | τp [ns] | Ithr [GW/cm2] | Note |
| 0.2661 | 12 | >0.04 | |
| 0.308 | 17 | >0.05 | |
| 0.0003 | 47,000 | sharp focusing | |
| 0.3547 | 18 | >0.18 | 10Hz |
| 8 | >0.1 | ||
| 7 | >0.14 | ||
| 0.03 | >9.4 | 10Hz | |
| 0.015 | >2.8 | ||
| 0.018 | >5 | ||
| 0.025 | >6 | 10Hz | |
| 0.5145 | CW | >0.00003 | |
| 0.5235 | 0.055 | >1.1 | 500Hz |
| 0.5321 | CW | >0.0004 | |
| 60 | >0.07 | 900Hz | |
| 10 | >0.22 | ||
| 0.1 | >4.5 | 500Hz | |
| 0.035 | >3.1 | ||
| 0.015 | >4.4 | ||
| 0.592 | 0.0005 | >50 | 1kHz |
| 0.605 | 0.0002 | >25 | |
| 0.616 | 0.0004 | 31,000 | sharp focusing |
| 0.652 | 0.02 | >0.81 | |
| 0.7–0.9 | 10 | >0.03 | 10Hz |
| 0.71–0.87 | 25 | 1.1–1.4 | 25Hz |
| 0.72–0.85 | 0.001 | >8 | |
| 0.77–0.83 | 0.00005 | >22 | 80MHz |
| 1.0642 | CW | >0.001 | |
| 60 | >0.06 | 1333Hz | |
| 18 | >0.6 | 10Hz | |
| 9 | >0.9 | 10Hz | |
| 8 | >0.5 | ||
| 1.3 | 19 | ||
| 1.1 | 45 | bulk damage | |
| 0.1 | 25 | ||
| 0.035 | >4.8 | ||
| 0.025 | >3.3 | 10Hz | |
| 1.0796 | 5 | 20 | 1–25Hz |
| 0.04 | 30 |
对于0.4–1.0µm的光谱范围和293–338K的温度范围（λin µm）：dnX/dT=-1.8×10-6K-1
dny/dT=-13.6×10-6K-1
dnz/dT=-(6.3+2.1λ)×10-6K-1
对于0.4–1.0 µm的光谱范围和293–383K的温度范围（λin µm）：dnX/dT=-(3.76λ-2.3)×10-6K-1
dny/dT=-(19.40-6.01λ)×10-6K-1
dnz/dT=-(9.70-1.50λ)×10-6K-1
对于λ= 0.6328µm和温度范围293–473K（λ以µm为单位，T以K为单位）：dnX/dT=[0.20342-1.9697×10-2 (T-273)-1.4415×10-5(T-273)2]×10-6K-1
dny/dT=-[10.748+7.1034×10-2 (T-273) +5.7387×10-5(T-273)2]×10-6K-1
dnz/dT=-[0.85998+1.5476×10-1 (T-273) -9.4675×10-4(T-273)2+2.2375×10-6(T-273)3]×10-6K-1
| 在P = 0.101325 MPa时的比热cp | |||
| T [K] | cp[J/kgK] | ||
| 298 | 1060 | ||
| 线性吸收系数α | |||
| λ[µm] | α [cm-1] | ||
| 0.35–0.36 | 0.0031 | ||
| 1.0642 | 0.00035 | ||
| 双光子吸收系数β | |||
| λ[µm] | τp[ns] | β×1011[cm/W] | Note |
| 0.211 | 0.0009 | 103±36 | θ =90°, Φ=30° |
| 0.264 | 0.0008 | 15±5 | θ =90°, Φ=30° |
| 非线性折射率γ | |||
| λ[µm] | γ×1015[cm2/W] | Note | |
| 0.78 | 0.26±0.03 | [100] 方向 | |
| 0.19±0.03 | [010] 方向 | ||
| 0.85 | 0 .19±0.04 | ||
 |  |
LBO传输频谱 | LBO非线性晶体的SHG调谐曲线 |
 | |
在不同的泵浦光（即530 nm，355 nm和266 nm）下，LBO（在“ XY”平面上的TypeI（ooe））的OPO调谐曲线 | |
案例
特点
应用
参考文献
新闻
案例
LBO晶体案例（一）
尺寸：3*3*10 mm；
抛光：2面抛光；
无涂层
LBO晶体案例（二）
尺寸，mm：3*3 (+0/-0.1)；
涂层：AR @ 1064 + 532 nm/355 nm；
激光诱导损伤阈值：>10 J/cm² @ 1064 nm、10 ns、10 Hz
LBO晶体案例（三）
规格：3×3×10 mm, 3×3×20 mm, 3×3×30 mm;
2面抛光（3*3 mm)
镀膜: S1/S2，AR/AR@1020 –1180 nm&530 -590nm，双侧
LBO晶体案例（四）
规格：3×3×15 mm；
SHG 640 nm / 320 nm
LBO晶体案例（五）
规格：3×3×30 mm；
镀膜: S1/S2: AR @ 532 nm + AR @ 690-990 nm
LBO晶体案例（六）
规格：6×6×0.9 mm；
镀膜: AR @ 1030 + 515 nm/ 1030 + 515 nm
特点
- 对水分的敏感性低
- 分散角小
- 高光学均匀性
- 可调波长范围大
- 透明区域广泛
- 损坏阈值很高
- 宽接受角
应用
材料加工
光通讯
全息摄影
医疗应用
- 1300nm激光
- 双波长（1064nm 532nm）激光器
- OPA（光参量放大器）和OPO（振荡器）
- SHG（频率谐波加倍）和THG（滴流谐波加倍）
- 二极管泵浦的Nd：YLF激光器和Nd：YAG激光器。翠绿宝石，钛：蓝宝石，染料激光器，超短脉冲激光器
参考文献
| [1] Zubrinov I I , Sapozhnikov V K , Pylneva N A , et al. Elastic and elastooptic properties of LiB 3O 5[J]. Ceramics International, 2004, 30(7):1675-1677. |
| [2] Reinvestigation on the phase transition of a LiB3O5 crystal near its melting point[J]. Journal of Crystal Growth, 2016, 435:1-5. |
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LBO 晶体
尺寸: 3×3×10mm
激光损伤阀值:>10J/cm2@1064nm，10ns,10HZ
镀膜: AR@1064+532nm/355nm
LBO 晶体
尺寸: 3×3×10mm
激光损伤阀值: >10J/cm2@1064nm,10ns,10HZ
镀膜: AR@1064+532nm/355nm
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