Optical constants

Refractive index of BaB2O4 (Barium borate, BBO)

Tamošauskas et al. 2018: n(o),k 0.188–5.2 µm

Data
formula 2 + tabulated k
Range
0.188–5.2 µm
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.188–5.2 µm
Refractive index n
1.66981
Extinction coefficient k
4.98508e-10
Permittivity ε1
2.78826
Permittivity ε2
1.66483e-09
Absorption coefficient α
0.000106611 cm⁻¹
Penetration depth δ = λ/(2πk)
1.87599e+11 nm
Abbe number Vd
51.693
Chromatic dispersion dn/dλ
-0.0668166 µm⁻¹
Group index ng
1.70907
Group velocity dispersion
117.99 fs²/mm
Dispersion parameter D
-643.696 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# BaB2O4 (Barium borate, BBO): Tamošauskas et al. 2018: n(o),k 0.188–5.2 µm
bab2o4 = ls.fetch_refractiveindex("main", "BaB2O4", "Tamosauskas-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bab2o4.range_nm)  # (188, 5200) nm
eps = bab2o4.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.90291λ2λ2−0.003926+0.83155λ2λ2−0.018786+0.76536λ2λ2−60.01

Valid from 0.188 to 5.2 µm.

Coefficients as stored
CiValue
C10.0
C20.90291
C30.003926
C40.83155
C50.018786
C60.76536
C760.01

Comments and conditions

Beta barium borate (ß-BaB2O4, BBO). Ordinary ray (o).

Conditions

direction
o

References

1) G. Tamošauskas, G. Beresnevičius, D. Gadonas, A. Dubietis. Transmittance and phase matching of BBO crystal in the 3−5 μm range and its application for the characterization of mid-infrared laser pulses. Opt. Mater. Express 8, 1410-1418 (2018)
2) G. Tamošauskas. β-barium borate (BBO) absorption in the 0.188-6.22 μm range. arXiv:2111.01212 [physics.optics] (2021) (Numerical data kindly provided by Gintaras Tamošauskas)
  • doi:10.1364/ome.8.001410 Transmittance and phase matching of BBO crystal in the 3−5 μm range and its application for the characterization of mid-infrared laser pulses, Optical Materials Express (2018)
  • doi:10.48550/arxiv.2111.01212 $β$-Barium Borate (BBO) Absorption in the 0.188-6.22 $μ$m Range (2021)

Cite

Gintaras Tamošauskas, Gvidas Beresnevičius, Darius Gadonas and Audrius Dubietis. Transmittance and phase matching of BBO crystal in the 3−5 μm range and its application for the characterization of mid-infrared laser pulses. Optical Materials Express, 8, 1410 (2018), doi:10.1364/ome.8.001410; Gintaras Tamošauskas. $β$-Barium Borate (BBO) Absorption in the 0.188-6.22 $μ$m Range. (2021), doi:10.48550/arxiv.2111.01212; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 5969 wavelengths, the same grid as the API and the library
BaB2O4 (Barium borate, BBO), Tamošauskas et al. 2018: n(o),k 0.188–5.2 µm: n and k versus wavelength
λ (µm)nk
0.1881.9468644.514200e-05
0.18811.946284.397900e-05
0.18821.9456984.260500e-05
0.18831.9451184.123000e-05
0.18841.944543.985300e-05
0.18851.9439653.847400e-05
0.18861.9433913.709500e-05
0.18871.9428193.571300e-05
0.18881.942253.451700e-05
0.18891.9416823.331900e-05
0.1891.9411163.211800e-05
0.18911.9405533.091800e-05
0.18921.9399912.971600e-05
0.18931.9394312.851200e-05
0.18941.9388742.747800e-05
0.18951.9383182.649700e-05
0.1895711.9379252.583551e-05
0.18961.9377642.556300e-05
0.18971.9372122.467000e-05
0.18981.9366622.381100e-05
0.18991.9361142.298200e-05
0.191.9355682.217600e-05
0.19011.9350232.138800e-05
0.19021.9344812.060900e-05
0.19031.933941.983500e-05
0.19041.9334021.907100e-05
0.19051.9328651.832000e-05
0.19061.932331.758500e-05
0.19071.9317961.687200e-05
0.19081.9312651.618500e-05
0.19091.9307351.553000e-05
0.1911.9302081.490900e-05
0.19111.9296821.432600e-05
0.1911551.9293941.402585e-05
0.19121.9291571.377800e-05
0.19131.9286351.325800e-05
0.19141.9281141.276100e-05
0.19151.9275951.228100e-05
0.19161.9270781.181400e-05
0.19171.9265631.135900e-05
0.19181.9260491.091800e-05
0.19191.9255371.049200e-05
0.1921.9250271.008200e-05
0.19211.9245189.688500e-06
0.19221.9240119.312400e-06
0.19231.9235068.952900e-06
0.19241.9230028.609200e-06
0.19251.92258.281000e-06
0.19261.9227.967400e-06
0.19271.9215027.668100e-06
0.1927521.9212437.519507e-06
0.19281.9210057.382100e-06
0.19291.9205097.109100e-06
0.1931.9200166.848300e-06
0.19311.9195246.599400e-06
0.19321.9190336.361500e-06
0.19331.9185446.133900e-06
0.19341.9180575.916200e-06
0.19351.9175715.707800e-06
0.19361.9170875.507900e-06
0.19371.9166055.315900e-06
0.19381.9161245.131400e-06
0.19391.9156444.953500e-06
0.1941.9151674.781800e-06
0.19411.914694.615600e-06
0.19421.9142154.454800e-06
0.19431.9137424.299200e-06
0.1943621.9134474.205162e-06
0.19441.9132714.148700e-06
0.19451.91284.003300e-06
0.19461.9123323.862600e-06
0.19471.9118643.726900e-06
0.19481.9113993.595500e-06
0.19491.9109343.468600e-06
0.1951.9104723.346100e-06
0.19511.910013.227800e-06
0.19521.9095513.113500e-06
0.19531.9090923.003100e-06
0.19541.9086352.896500e-06
0.19551.908182.793500e-06
0.19561.9077262.694100e-06
0.19571.9072732.597900e-06
0.19581.9068222.505200e-06
0.19591.9063722.415400e-06
0.1959861.9059842.340258e-06
0.1961.9059242.328500e-06
0.19611.9054772.244600e-06
0.19621.9050312.163500e-06
0.19631.9045872.084900e-06
0.19641.9041442.009300e-06
0.19651.9037031.936200e-06
0.19661.9032631.865500e-06
0.19671.9028241.797400e-06
0.19681.9023871.731900e-06
0.19691.9019511.668600e-06
0.1971.9015161.607800e-06
0.19711.9010831.549100e-06
0.19721.9006511.492700e-06
0.19731.900221.438500e-06
0.19741.8997911.386400e-06
0.19751.8993631.336300e-06
0.19761.8989361.288200e-06
0.1976241.8988341.277101e-06
0.19771.898511.242000e-06
0.19781.8980861.197700e-06
0.19791.8976631.155100e-06
0.1981.8972421.114200e-06
0.19811.8968221.075000e-06
0.19821.8964031.037400e-06
0.19831.8959851.001200e-06
0.19841.8955689.665400e-07
0.19851.8951539.332000e-07
0.19861.8947399.011500e-07
0.19871.8943268.703300e-07
0.19881.8939158.406600e-07
0.19891.8935058.120900e-07
0.1991.8930967.845100e-07
0.19911.8926887.578900e-07
0.19921.8922817.321300e-07
0.1992751.8919767.133978e-07
0.19931.8918767.072400e-07
0.19941.8914726.831700e-07
0.19951.8910696.599200e-07
0.19961.8906676.374700e-07
0.19971.8902666.158500e-07
0.19981.8898675.949900e-07
0.19991.8894695.749300e-07
0.21.8890725.556300e-07
0.20011.8886765.370800e-07
0.20021.8882815.192700e-07
0.20031.8878875.022000e-07
0.20041.8874954.858400e-07
0.20051.8871044.702000e-07
0.20061.8867144.552600e-07
0.20071.8863254.410000e-07
0.20081.8859374.273800e-07
0.20091.885554.144200e-07
0.200941.8853954.094357e-07
0.2011.8851644.020500e-07
0.20111.884783.902800e-07
0.20121.8843973.790600e-07
0.20131.8840143.683600e-07
0.20141.8836333.581700e-07
0.20151.8832533.484700e-07
0.20161.8828743.392300e-07
0.20171.8824963.304100e-07
0.20181.8821193.219800e-07
0.20191.8817443.139300e-07
0.2021.8813693.062400e-07
0.20211.8809962.988600e-07
0.20221.8806232.918000e-07
0.20231.8802522.849900e-07
0.20241.8798812.784300e-07
0.20251.8795122.721100e-07
0.20261.8791442.659900e-07
0.2026191.8790732.648510e-07
0.20271.8787762.600700e-07
0.20281.878412.543400e-07
0.20291.8780452.488100e-07
0.2031.8776812.434800e-07
0.20311.8773182.383300e-07
0.20321.8769562.333400e-07
0.20331.8765952.285200e-07
0.20341.8762352.238700e-07
0.20351.8758762.193800e-07
0.20361.8755182.150300e-07
0.20371.8751612.108300e-07
0.20381.8748052.067600e-07
0.20391.874452.028400e-07
0.2041.8740961.990400e-07
0.20411.8737421.953600e-07
0.20421.873391.917800e-07
0.20431.8730391.883100e-07
0.2043121.8729961.879009e-07
0.20441.8726891.849600e-07
0.20451.872341.816900e-07
0.20461.8719921.785100e-07
0.20471.8716451.754200e-07
0.20481.8712981.724100e-07
0.20491.8709531.694600e-07
0.2051.8706091.666100e-07
0.20511.8702651.638300e-07
0.20521.8699231.611400e-07
0.20531.8695811.585100e-07
0.20541.8692411.559600e-07
0.20551.8689011.534800e-07
0.20561.8685621.510700e-07
0.20571.8682241.487200e-07
0.20581.8678871.464500e-07
0.20591.8675511.442400e-07
0.2061.8672161.421000e-07
0.2060191.8671521.416960e-07
0.20611.8668821.400100e-07
0.20621.8665491.379900e-07
0.20631.8662161.360300e-07
0.20641.8658851.341300e-07
0.20651.8655541.322900e-07
0.20661.8652251.305000e-07
0.20671.8648961.287700e-07
0.20681.8645681.270800e-07
0.20691.8642411.254500e-07
0.2071.8639151.238700e-07
0.20711.8635891.223400e-07
0.20721.8632651.208500e-07
0.20731.8629411.194100e-07
0.20741.8626191.180200e-07
0.20751.8622971.166600e-07
0.20761.8619761.153500e-07
0.20771.8616561.140800e-07
0.2077411.8615251.135751e-07
0.20781.8613361.128400e-07
0.20791.8610181.116500e-07
0.2081.86071.104900e-07
0.20811.8603831.093700e-07
0.20821.8600671.082900e-07
0.20831.8597521.072400e-07
0.20841.8594381.062300e-07
0.20851.8591251.052400e-07
0.20861.8588121.043000e-07
0.20871.85851.033800e-07
0.20881.8581891.025000e-07
0.20891.8578791.016400e-07
0.2091.857571.008200e-07
0.20911.8572611.000300e-07
0.20921.8569539.926000e-08
0.20931.8566469.851900e-08
0.20941.856349.780500e-08
0.2094761.8561069.727957e-08
0.20951.8560359.711800e-08
0.20961.855739.645400e-08
0.20971.8554269.581600e-08
0.20981.8551239.519900e-08
0.20991.8548219.460400e-08
0.211.854529.403100e-08
0.21011.8542199.347900e-08
0.21021.8539199.294600e-08
0.21031.853629.243300e-08
0.21041.8533229.193600e-08
0.21051.8530249.145700e-08
0.21061.8527279.099500e-08
0.21071.8524319.054800e-08
0.21081.8521369.011500e-08
0.21091.8518418.969600e-08
0.2111.8515478.929000e-08
0.21111.8512548.889800e-08
0.21121.8509628.851400e-08
0.2112271.8508848.841422e-08
0.21131.850678.814100e-08
0.21141.8503798.777900e-08
0.21151.8500898.742500e-08
0.21161.84988.707700e-08
0.21171.8495118.673800e-08
0.21181.8492238.640300e-08
0.21191.8489368.607400e-08
0.2121.848658.575100e-08
0.21211.8483648.542800e-08
0.21221.8480798.511100e-08
0.21231.8477948.479200e-08
0.21241.8475118.447700e-08
0.21251.8472288.416000e-08
0.21261.8469468.384500e-08
0.21271.8466648.352700e-08
0.21281.8463838.321100e-08
0.21291.8461038.289400e-08
0.2129921.8458478.260532e-08
0.2131.8458248.257900e-08
0.21311.8455458.226100e-08
0.21321.8452678.194500e-08
0.21331.844998.162900e-08
0.21341.8447138.131400e-08
0.21351.8444378.099700e-08
0.21361.8441628.068200e-08
0.21371.8438878.036600e-08
0.21381.8436138.005100e-08
0.21391.843347.973400e-08
0.2141.8430687.942100e-08
0.21411.8427967.910500e-08
0.21421.8425247.879100e-08
0.21431.8422547.847700e-08
0.21441.8419847.816200e-08
0.21451.8417157.784800e-08
0.21461.8414467.753400e-08
0.21471.8411787.722200e-08
0.2147711.8409877.699888e-08
0.21481.8409117.690900e-08
0.21491.8406447.659600e-08
0.2151.8403787.628500e-08
0.21511.8401137.597400e-08
0.21521.8398487.566200e-08
0.21531.8395847.535300e-08
0.21541.839327.504200e-08
0.21551.8390587.473200e-08
0.21561.8387957.442300e-08
0.21571.8385347.411400e-08
0.21581.8382737.380700e-08
0.21591.8380137.349900e-08
0.2161.8377537.319100e-08
0.21611.8374947.288600e-08
0.21621.8372367.258000e-08
0.21631.8369787.227600e-08
0.21641.8367217.197200e-08
0.21651.8364647.166700e-08
0.2165661.8362967.146764e-08
0.21661.8362087.136400e-08
0.21671.8359537.106300e-08
0.21681.8356987.076100e-08
0.21691.8354447.046000e-08
0.2171.835197.015900e-08
0.21711.8349376.986200e-08
0.21721.8346856.956200e-08
0.21731.8344336.926600e-08
0.21741.8341826.896900e-08
0.21751.8339326.867300e-08
0.21761.8336826.837800e-08
0.21771.8334326.808500e-08
0.21781.8331836.779200e-08
0.21791.8329356.749900e-08
0.2181.8326886.720900e-08
0.21811.8324416.691900e-08
0.21821.8321946.663000e-08
0.21831.8319486.634100e-08
0.2183751.8317636.612565e-08
0.21841.8317036.605500e-08
0.21851.8314586.576900e-08
0.21861.8312146.548400e-08
0.21871.830976.520100e-08
0.21881.8307276.491900e-08
0.21891.8304856.463700e-08
0.2191.8302436.435600e-08
0.21911.8300026.407900e-08
0.21921.8297616.380100e-08
0.21931.8295216.352500e-08
0.21941.8292816.324800e-08
0.21951.8290426.297500e-08
0.21961.8288036.270300e-08
0.21971.8285656.243100e-08
0.21981.8283286.216200e-08
0.21991.8280916.189300e-08
0.221.8278546.162500e-08
0.22011.8276196.135900e-08
0.22021.8273836.109621e-08
0.22021.8273836.109600e-08
0.22031.8271486.083200e-08
0.22041.8269146.057100e-08
0.22051.8266816.030800e-08
0.22061.8264476.005000e-08
0.22071.8262155.979200e-08
0.22081.8259835.953700e-08
0.22091.8257515.928100e-08
0.2211.825525.902600e-08
0.22111.8252895.877500e-08
0.22121.8250595.852300e-08
0.22131.824835.827300e-08
0.22141.8246015.802500e-08
0.22151.8243735.777800e-08
0.22161.8241455.753200e-08
0.22171.8239175.728600e-08
0.22181.823695.704400e-08
0.22191.8234645.680100e-08
0.2221.8232385.656000e-08
0.222041.8231485.646451e-08
0.22211.8230135.632000e-08
0.22221.8227885.608200e-08
0.22231.8225635.584600e-08
0.22241.822345.561100e-08
0.22251.8221165.537500e-08
0.22261.8218935.514400e-08
0.22271.8216715.491100e-08
0.22281.8214495.468100e-08
0.22291.8212285.445200e-08
0.2231.8210075.422400e-08
0.22311.8207865.399600e-08
0.22321.8205665.377200e-08
0.22331.8203475.354700e-08
0.22341.8201285.332400e-08
0.22351.819915.310200e-08
0.22361.8196925.288100e-08
0.22371.8194745.266200e-08
0.22381.8192575.244300e-08
0.2238951.8190515.223868e-08
0.22391.8190415.222800e-08
0.2241.8188255.201100e-08
0.22411.8186095.179700e-08
0.22421.8183945.158400e-08
0.22431.8181795.137200e-08
0.22441.8179655.116100e-08
0.22451.8177515.095100e-08
0.22461.8175385.074400e-08
0.22471.8173255.053700e-08
0.22481.8171135.033100e-08
0.22491.8169015.012600e-08
0.2251.816694.992300e-08
0.22511.8164794.972100e-08
0.22521.8162684.951900e-08
0.22531.8160584.931900e-08
0.22541.8158494.912000e-08
0.22551.815644.892300e-08
0.22561.8154314.872700e-08
0.22571.8152234.853100e-08
0.2257661.8150864.840340e-08
0.22581.8150154.833700e-08
0.22591.8148084.814500e-08
0.2261.8146014.795200e-08
0.22611.8143954.776100e-08
0.22621.8141894.757200e-08
0.22631.8139834.738400e-08
0.22641.8137784.719700e-08
0.22651.8135744.701100e-08
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Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—