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南京光宝
BBO 非线性晶体
南京光宝光电科技有限公司
中国科技大学,山东大学
详细说明
β-BBO晶体—一种广泛使用的非线性晶体，可在紫外线，可见光和近红外线中进行频率转换
BBO晶体是重要的非线性光学晶体之一，β-硼酸钡（β-BaB2O4，β-BBO）结合了许多杰出的特征，例如其高非线性光学系数，低群速度色散，宽广的透明度范围（189– 3500 nm）和高损伤阈值。这种独特的组合确保β-BBO晶体成为各种非线性光学应用（如变频器和光学参量振荡器）的有希望的候选者。在量子光学领域，β-BBO晶体可用于产生纠缠的光子对和十光子的纠缠。
BBO非线性晶体是一种负性单轴晶体，几乎可以在其整个透明范围（从185 nm至3.3 μm，根据使用几毫米厚的晶体样品的透射率测量得出的结果）中的各种二阶相互作用提供相位匹配，从而使其成为一种在紫外线，可见光和近红外中用于非线性频率转换的广泛使用的晶体。在这方面，BBO晶体是用于近红外光参量pulse脉冲放大器的重要的非线性晶体，目前，它仅提供很少的具有高平均功率和超高峰值功率的光循环脉冲。
参数
物理和化学特性
| 属性 | 数值 |
| 化学式 | BaB2O4 |
| 晶体结构 | 三方晶系, 3m |
| 晶格参数 | a=b=12.532?,c=12.717?, Z=6 |
| 质量密度 | 3.85 g/cm3 |
| 莫氏硬度 | 4 |
| 熔点 | 大约1095°C |
| 导热系数 | 1.2 W/m/K (⊥c); 1.6 W/m/K (//c) |
| 热膨胀系数 | α,4×10-6/K; c,36×10-6/K |
| 双折射 | 负单轴 |
线性光学性质
| 属性 | 数值 |
| 透明范围 | 189 – 3500 nm |
| 吸收系数 | α<0.1%/cm @1064nm |
| 折光指数 |
|
| 在1.0642μm | ne= 1.5425, no= 1.6551 |
| 在0.5321μm | ne= 1.5555, no= 1.6749 |
| at 0.2660 μm | ne= 1.6146, no= 1.7571 |
| Sellmeier方程（λinμm） | no2(λ) = 2.7359+0.01878/(λ2-0.01822)-0.01354λ2 |
| ne2(λ) = 2.3753+0.01224/(λ2-0.01667)-0.01516λ2 |
非线性光学性质
| 属性 | 数值 |
| SHG相位匹配范围 | 409.6 ～3500nm (Type I); 525 ～3500nm (TypeII) |
| NLO系数 | d11= 5.8 x d36(KDP); d31= 0.05 x d11; d22< 0.05 x d11 |
| deff(I)=d31sinθ+ (d11cos3φ – d22sin3φ)cosθ |
| deff(II)=(d11sin3φ+ d22cos3θ)cos2θ |
| 热光系数 | dno/dT = – 9.3 x 10-6/?C |
| dne/dT = -16.6 x 10-6/?C |
| 电光系数 | g11= 2.7 pm/V, g22, g31< 0.1 g11 |
| 半波电压 | 48 KV (at 1064 nm) |
| 损坏阈值 |
|
| 在1.064μm | 5 GW/cm2(10 ns); 10 GW/cm2(1.3 ns) |
| 在0.532μm | 1 GW/cm2(10 ns); 7 GW/cm2(250 ps) |
线性吸收系数
| λ[μm] | α [cm-1] | 注意 |
| 0.1934 | 1.39 | T =295K |
| 0.29 | T =91K |
| 0.213 | <0.21 |
|
| 0.264 | 0.04±0.01 | ||c |
| 0.06±0.003 | ⊥c, o-波 |
| 0.10±0.003 | ⊥c, e-波 |
| 0.2661 | <0.17 |
|
| 0.04–0.15 |
|
| 0.5321 | 0.01 |
|
| <0.01 |
|
| 1 | 0.001–0.002 |
|
| 1.0642 | <0.001 |
|
| 2.09 | 0.0085 | e-波 |
| 0.07 | o-波 |
| 2.55 | 0.5 |
|
双光子吸收系数
| λ[μm] | τp [ns] | β×1011[cm/W] | 注意 |
| 0.211 | 0.0009 | 243±85 | θ =30?, φ =0? |
| 0.264 | 0.0008 | 93±33 | θ =30?, φ =0? |
| 0.00022 | 68±6 | ||c |
| 66±7 | ⊥c, o-波 |
|
| 47±5 | ⊥c, e-波 |
|
| 0.0002 | 61 | θ =48° |
| 0.2661 | 0.015 | 90±10 | ||c |
| 0.3547 | 0.017 | 1.0±0.2 | ||c |
折光指数的实验值
| λ[μm] | no | ne |
| 0.40466 | 1.69267 | 1.56796 |
| 0.43583 | 1.68679 | 1.56376 |
| 0.46782 | 1.68198 | 1.56024 |
| 0.47999 | 1.68044 | 1.55914 |
| 0.50858 | 1.67722 | 1.55691 |
| 0.54607 | 1.67376 | 1.55465 |
| 0.57907 | 1.67131 | 1.55298 |
| 0.5893 | 1.67049 | 1.55247 |
| 0.64385 | 1.66736 | 1.55012 |
| 0.8189 | 1.66066 | 1.54589 |
| 0.85212 | 1.65969 | 1.54542 |
| 0.89435 | 1.65862 | 1.54469 |
| 1.014 | 1.65608 | 1.54333 |
非线性折射率
| λ[μm] | γ×1015[cm2/W] | Note |
| 0.2661 | 0.025±0.008 | ||c |
| 0.3547 | 0.36±0.08 | ||c |
| 0.5321 | 0.55±0.10 | ||c |
| 0.78 | 0.40±0.05 | [100] 方向 |
| 0.32±0.05 | [010] 方向 |
| 0.85 | 0.37 ±0.06 | θ =29.2?, φ =0? |
| 1.0642 | 0.29 ±0.05 | ||c |
相位匹配角的实验值（T = 293K）
| 相互作用波长[μm] | θexp[deg] |
| SHG, o+o ?e |
|
| 0.4096?0.2048 | 90 |
| 0.41?0.20 | 90 |
| 0.41152?0.20576 | 82.8 |
| 0.41546?0.20773 | 79.2 |
| 0.418?0.209 | 77.3 |
| 0.429?0.2145 | 71 |
| 0.4765?0.23825 | 57 |
| 0.488?0.244 | 54.5 |
| 0.4965?0.24825 | 52.5 |
| 0.5106?0.2553 | 50/50.6 |
| 0.5145?0.25725 | 49.5 |
| 0.5321?0.26605 | 47.3/47.5/47.6/48 |
| 0.589?0.2945 | 41.5 |
| 0.604?0.302 | 40 |
| 0.6156?0.3078 | 39 |
| 0.616?0.308 | 38 |
| 0.70946?0.35473 | 32.9/33/33.1/33.3/33.7 |
| 0.78?0.39 | 31/30 |
| 0.8?0.4 | 26.5 |
| 0.946?0.473 | 24.9 |
| 1.0642?0.5321 | 22.7/22.8 |
| SFG, o+o ?e |
|
| 0.73865+0.25725?0.1908 | 81.7 |
| 0.72747+0.26325?0.1933 | 76 |
| 0.5922+0.2961?0.1974 | 88 |
| 0.5964+0.2982?0.1988 | 82.5 |
| 0.5991+0.29955?0.1997 | 80 |
| 0.60465+0.30233?0.20155 | 76.2 |
| 0.5321+0.32561?0.202 | 83.9 |
| 0.6099+0.30495?0.2033 | 73.5 |
| 0.5321+0.34691?0.21 | 71.9 |
| 0.7736+0.25787?0.1934 | 70.7 |
| 0.5321+0.35473?0.21284 | 70 |
| 0.51567+0.38675?0.221 | 64.7 |
| 0.804+0.268?0.201 | 64 |
| 0.75+0.375?0.25 | 61.7 |
| 1.0642+0.26605?0.21284 | 51.1 |
| 0.78+0.373?0.2523 | 47.4 |
| 1.0642+0.298?0.23281 | 46.1 |
| 0.5782+0.5106?0.27115 | 46 |
| 0.59099+0.5321?0.28 | 44.7 |
| 0.78+0.43?0.2772 | 43.4 |
| 1.0642+0.35473?0.26605 | 40.2 |
| 1.0641+0.53205?0.3547 | 31.3 |
| 1.0642+0.5321?0.35473 | 31.1/31.3/31.4 |
| 2.68823+0.5712?0.4711 | 21.8 |
| 1.41831+1.0642?0.608 | 21 |
| SHG, e+o ?e |
|
| 0.5321?0.26605 | 81 |
| 0.70946?0.35473 | 48/48.1 |
| 1.0642?0.5321 | 31.6/32.4/32.7/32.9 |
| SFG, e+o ?e |
|
| 1.0642+0.35473?0.26605 | 46.6 |
| 1.0642+0.5321?0.35473 | 38.4/38.5 |
| SFG, o+e ?e |
|
| 1.0642+0.5321?0.35473 | 59.8 |
T = 293K时的内角，温度和光谱带宽的实验值
| 相互作用波长[μm] | θpm[deg] | Δθint[deg] | ΔT [℃] | Δν[cm-1] |
| SHG, o+o ?e |
| 1.0642?0.5321 | 22.8 | 0.021 | 37 | 9.7 |
| 22.7 | 0.03 | 51 |
|
| 0.5321?0.26605 | 47.3 | 0.01 | 4 |
|
| 0.53?0.265 | 47.6(298K) | 0.006 |
|
|
| SFG, o+o ?e |
|
|
|
|
| 1.0641+0.53205?0.3547 | 31.3 | 0.011 |
|
|
| 1.0642+0.5321?0.35473 | 31.1 | 0.015 | 16 |
|
| 2.44702+0.5712?0.4631 | 22.1 | 0.026 |
|
|
| 2.68823+0.5712?0.4711 | 21.8 | 0.028 |
|
|
| SHG, e+o ?e |
|
|
|
|
| 1.0642?0.5321 | 32.7 | 0.034 | 8.8 |
|
| 32.4 | 0.046 | 37 |
|
| SFG, e+o ?e |
|
|
|
|
| 1.0642+0.5321?0.35473 | 38.4 | 0.02 | 13 |
|
| SFG, o+e ?e |
|
|
|
|
| 1.0642+0.5321?0.35473 | 58.4 | 0.05 | 12 |
|
T = 293K时相位匹配角的温度变化
| 相互作用波长[μm] | θpm[deg] | dθpm/dT[deg/K] |
| SHG, o+o ?e |
|
|
| 0.5321?0.26605 | 47.3 | 0.0025 |
| 1.0642?0.5321 | 22.7 | 0.00057 |
| SFG, o+o ?e |
|
|
| 1.0642+0.5321?0.35473 | 31.1 | 0.00099 |
| SHG, e+o ?e |
|
|
| 1.0642?0.5321 | 32.4 | 0.0012 |
| SFG, e+o ?e |
|
|
| 1.0642+0.5321?0.35473 | 38.4 | 0.0015 |
| SFG, o+e ?e |
|
|
| 1.0642+0.5321?0.35473 | 58.4 | 0.00421 |
BBO中SHG过程的逆群速度失配的计算值
| 相互作用波长[μm] | θpm[deg] | β[fs/mm] |
| SHG, o+o ?e |
|
|
| 1.2?0.6 | 21.18 | 54 |
| 1.1?0.55 | 22.28 | 76 |
| 1.0?0.5 | 23.85 | 104 |
| 0.9?0.45 | 26.07 | 141 |
| 0.8?0.4 | 29.18 | 194 |
| 0.7?0.35 | 33.65 | 275 |
| 0.6?0.3 | 40.47 | 415 |
| 1.0642+0.5321?0.35473 | 38.4 | 0.0015 |
| SHG, e+o ?e |
|
|
| 1.2?0.6 | 29.91 | 103 |
| 1.1?0.55 | 31.46 | 130 |
| 1.0?0.5 | 33.73 | 164 |
| 0.9?0.45 | 36.98 | 210 |
| 0.8?0.4 | 41.67 | 276 |
| 0.7?0.35 | 48.74 | 373 |
| 0.6?0.3 | 60.91 | 531 |
激光引起的大面积损伤阈值
| λ[μm] | τp[ns] | Ithr[GW/cm2] | Note |
| 0.2661 | 10 | 0.3 | 10Hz |
| 8 | >0.12 |
|
| 2 | 通过直拉法生长的（CZ-BBO） |
|
| 3 | 通过?ux方法（?ux-BBO）生长 |
|
| 3.4 | CZ-BBO，在1193K退火（50小时） |
|
| 0.308 | 12 | >0.2 |
|
| 0.3547 | 10 | 0.9 | 10Hz |
| 8 | 25 | 1pulse |
| 19 | 1800pulses |
|
| 0.03 | >0.4 | 10Hz |
| 0.015 | >3 |
|
| 0.4 | 0.0002 | >150 | 10Hz |
| 0.5106 | 20 | >0.25 | 4kHz |
| 0.51–0.58 | 20 | 10 |
|
| 0.5145 | CW | >0.0004 |
|
| 0.5321 | 10 | 2.3 | 10Hz |
| 8 | 48 | 1pulse |
| 32 | 1800pulses |
|
| 0.62 | 0.0002 | >50 |
|
| 0.6943 | 0.02 | 10 |
|
| 0.8 | 0.000025 | >3400 | 1–5kHz |
| 0.85 | 0.00025 | >93 | 1kHz |
| 1.054 | 0.005 | 50 |
|
| 1.0642 | 14 | 50 | 1pulse |
| 23 | 1800pulses |
|
| 10 | 4.5 | 10Hz |
激光诱导的表面损伤阈值
| λ[μm] | τp[ns] | Ithr[GW/cm2] | 注意 |
| 0.266 | 10 | 0.15 | 10Hz |
| 0.355 | 10 | 0.5 | 10Hz |
| 0.51–0.58 | 20 | 1 | 4–14kHz |
| 0.532 | 10 | 1.3 | 10Hz |
| 1.064 | 10 | 2.6 | 10Hz |
其他参数
| 线性热膨胀系数 |
| T [K] | αt×106[K-1],||c | αt×106[K-1],⊥c |
| 293 | 0.36 | -2.54 |
| 线性热膨胀系数的平均值 |
| T [K] | αt×106[K-1],||c | αt×106[K-1],⊥c |
| 298-1173 | 36 | 4 |
| 在P = 0.101325MPa时的比热容 |
| T [K] | cp[J/kgK] |
|
| 298 | 490/496 |
|
| 导热系数 |
| K[W/mK] ,||c | K[W/mK] ,⊥c |
|
| 0.8 | 0.08 |
|
| 1.6 | 1.2 |
|
