Optical constants

Refractive index of BaB2O4 (Barium borate, BBO)

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

Data
formula 2 + tabulated k
Range
0.188–5.2 µm
Optical axis
e
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
1.55171
Extinction coefficient k
4.98508e-10
Permittivity ε1
2.40782
Permittivity ε2
1.54708e-09
Absorption coefficient α
0.000106611 cm⁻¹
Penetration depth δ = λ/(2πk)
1.87599e+11 nm
Abbe number Vd
61.392
Chromatic dispersion dn/dλ
-0.0460875 µm⁻¹
Group index ng
1.5788
Group velocity dispersion
86.1995 fs²/mm
Dispersion parameter D
-470.264 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(e),k 0.188–5.2 µm
bab2o4 = ls.fetch_refractiveindex("main", "BaB2O4", "Tamosauskas-e", 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=1.151075λ2λ2−0.007142+0.21803λ2λ2−0.02259+0.656λ2λ2−263.0

Valid from 0.188 to 5.2 µm.

Coefficients as stored
CiValue
C10.0
C21.151075
C30.007142
C40.21803
C50.02259
C60.656
C7263.0

Comments and conditions

Beta barium borate (ß-BaB2O4, BBO). Extraordinary ray (e).

Conditions

direction
e

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(e),k 0.188–5.2 µm: n and k versus wavelength
λ (µm)nk
0.1881.7454794.514200e-05
0.18811.7450424.397900e-05
0.18821.7446084.260500e-05
0.18831.7441754.123000e-05
0.18841.7437443.985300e-05
0.18851.7433153.847400e-05
0.18861.7428873.709500e-05
0.18871.7424623.571300e-05
0.18881.7420383.451700e-05
0.18891.7416163.331900e-05
0.1891.7411963.211800e-05
0.18911.7407773.091800e-05
0.18921.7403612.971600e-05
0.18931.7399462.851200e-05
0.18941.7395322.747800e-05
0.18951.7391212.649700e-05
0.1895711.738832.583551e-05
0.18961.7387112.556300e-05
0.18971.7383032.467000e-05
0.18981.7378962.381100e-05
0.18991.7374912.298200e-05
0.191.7370882.217600e-05
0.19011.7366862.138800e-05
0.19021.7362862.060900e-05
0.19031.7358881.983500e-05
0.19041.7354911.907100e-05
0.19051.7350961.832000e-05
0.19061.7347031.758500e-05
0.19071.7343111.687200e-05
0.19081.733921.618500e-05
0.19091.7335311.553000e-05
0.1911.7331441.490900e-05
0.19111.7327581.432600e-05
0.1911551.7325471.402585e-05
0.19121.7323741.377800e-05
0.19131.7319911.325800e-05
0.19141.731611.276100e-05
0.19151.731231.228100e-05
0.19161.7308521.181400e-05
0.19171.7304751.135900e-05
0.19181.73011.091800e-05
0.19191.7297261.049200e-05
0.1921.7293531.008200e-05
0.19211.7289829.688500e-06
0.19221.7286139.312400e-06
0.19231.7282448.952900e-06
0.19241.7278788.609200e-06
0.19251.7275128.281000e-06
0.19261.7271487.967400e-06
0.19271.7267867.668100e-06
0.1927521.7265987.519507e-06
0.19281.7264257.382100e-06
0.19291.7260657.109100e-06
0.1931.7257066.848300e-06
0.19311.7253496.599400e-06
0.19321.7249936.361500e-06
0.19331.7246396.133900e-06
0.19341.7242865.916200e-06
0.19351.7239345.707800e-06
0.19361.7235835.507900e-06
0.19371.7232345.315900e-06
0.19381.7228865.131400e-06
0.19391.722544.953500e-06
0.1941.7221944.781800e-06
0.19411.721854.615600e-06
0.19421.7215084.454800e-06
0.19431.7211664.299200e-06
0.1943621.7209534.205162e-06
0.19441.7208264.148700e-06
0.19451.7204874.003300e-06
0.19461.7201493.862600e-06
0.19471.7198123.726900e-06
0.19481.7194773.595500e-06
0.19491.7191433.468600e-06
0.1951.718813.346100e-06
0.19511.7184783.227800e-06
0.19521.7181473.113500e-06
0.19531.7178183.003100e-06
0.19541.717492.896500e-06
0.19551.7171632.793500e-06
0.19561.7168372.694100e-06
0.19571.7165122.597900e-06
0.19581.7161892.505200e-06
0.19591.7158662.415400e-06
0.1959861.7155882.340258e-06
0.1961.7155452.328500e-06
0.19611.7152252.244600e-06
0.19621.7149062.163500e-06
0.19631.7145882.084900e-06
0.19641.7142712.009300e-06
0.19651.7139551.936200e-06
0.19661.7136411.865500e-06
0.19671.7133271.797400e-06
0.19681.7130151.731900e-06
0.19691.7127031.668600e-06
0.1971.7123931.607800e-06
0.19711.7120841.549100e-06
0.19721.7117761.492700e-06
0.19731.7114691.438500e-06
0.19741.7111631.386400e-06
0.19751.7108581.336300e-06
0.19761.7105541.288200e-06
0.1976241.7104811.277101e-06
0.19771.7102511.242000e-06
0.19781.7099491.197700e-06
0.19791.7096481.155100e-06
0.1981.7093481.114200e-06
0.19811.7090491.075000e-06
0.19821.7087511.037400e-06
0.19831.7084541.001200e-06
0.19841.7081599.665400e-07
0.19851.7078649.332000e-07
0.19861.707579.011500e-07
0.19871.7072778.703300e-07
0.19881.7069858.406600e-07
0.19891.7066948.120900e-07
0.1991.7064047.845100e-07
0.19911.7061157.578900e-07
0.19921.7058277.321300e-07
0.1992751.7056117.133978e-07
0.19931.705547.072400e-07
0.19941.7052546.831700e-07
0.19951.7049686.599200e-07
0.19961.7046846.374700e-07
0.19971.7044016.158500e-07
0.19981.7041185.949900e-07
0.19991.7038375.749300e-07
0.21.7035565.556300e-07
0.20011.7032765.370800e-07
0.20021.7029975.192700e-07
0.20031.7027195.022000e-07
0.20041.7024424.858400e-07
0.20051.7021664.702000e-07
0.20061.7018914.552600e-07
0.20071.7016174.410000e-07
0.20081.7013434.273800e-07
0.20091.701074.144200e-07
0.200941.7009614.094357e-07
0.2011.7007994.020500e-07
0.20111.7005283.902800e-07
0.20121.7002583.790600e-07
0.20131.6999883.683600e-07
0.20141.699723.581700e-07
0.20151.6994533.484700e-07
0.20161.6991863.392300e-07
0.20171.698923.304100e-07
0.20181.6986553.219800e-07
0.20191.6983913.139300e-07
0.2021.6981283.062400e-07
0.20211.6978652.988600e-07
0.20221.6976032.918000e-07
0.20231.6973422.849900e-07
0.20241.6970822.784300e-07
0.20251.6968232.721100e-07
0.20261.6965652.659900e-07
0.2026191.6965152.648510e-07
0.20271.6963072.600700e-07
0.20281.696052.543400e-07
0.20291.6957942.488100e-07
0.2031.6955392.434800e-07
0.20311.6952842.383300e-07
0.20321.695032.333400e-07
0.20331.6947772.285200e-07
0.20341.6945252.238700e-07
0.20351.6942732.193800e-07
0.20361.6940232.150300e-07
0.20371.6937732.108300e-07
0.20381.6935242.067600e-07
0.20391.6932752.028400e-07
0.2041.6930271.990400e-07
0.20411.6927811.953600e-07
0.20421.6925341.917800e-07
0.20431.6922891.883100e-07
0.2043121.6922591.879009e-07
0.20441.6920441.849600e-07
0.20451.69181.816900e-07
0.20461.6915571.785100e-07
0.20471.6913141.754200e-07
0.20481.6910721.724100e-07
0.20491.6908311.694600e-07
0.2051.6905911.666100e-07
0.20511.6903511.638300e-07
0.20521.6901121.611400e-07
0.20531.6898741.585100e-07
0.20541.6896361.559600e-07
0.20551.6893991.534800e-07
0.20561.6891631.510700e-07
0.20571.6889271.487200e-07
0.20581.6886931.464500e-07
0.20591.6884581.442400e-07
0.2061.6882251.421000e-07
0.2060191.688181.416960e-07
0.20611.6879921.400100e-07
0.20621.687761.379900e-07
0.20631.6875291.360300e-07
0.20641.6872981.341300e-07
0.20651.6870681.322900e-07
0.20661.6868381.305000e-07
0.20671.6866091.287700e-07
0.20681.6863811.270800e-07
0.20691.6861541.254500e-07
0.2071.6859271.238700e-07
0.20711.6857011.223400e-07
0.20721.6854751.208500e-07
0.20731.685251.194100e-07
0.20741.6850261.180200e-07
0.20751.6848021.166600e-07
0.20761.6845791.153500e-07
0.20771.6843571.140800e-07
0.2077411.6842661.135751e-07
0.20781.6841351.128400e-07
0.20791.6839141.116500e-07
0.2081.6836931.104900e-07
0.20811.6834731.093700e-07
0.20821.6832541.082900e-07
0.20831.6830351.072400e-07
0.20841.6828171.062300e-07
0.20851.68261.052400e-07
0.20861.6823831.043000e-07
0.20871.6821671.033800e-07
0.20881.6819511.025000e-07
0.20891.6817361.016400e-07
0.2091.6815211.008200e-07
0.20911.6813071.000300e-07
0.20921.6810949.926000e-08
0.20931.6808819.851900e-08
0.20941.6806699.780500e-08
0.2094761.6805079.727957e-08
0.20951.6804589.711800e-08
0.20961.6802479.645400e-08
0.20971.6800369.581600e-08
0.20981.6798279.519900e-08
0.20991.6796179.460400e-08
0.211.6794099.403100e-08
0.21011.67929.347900e-08
0.21021.6789939.294600e-08
0.21031.6787869.243300e-08
0.21041.6785799.193600e-08
0.21051.6783749.145700e-08
0.21061.6781689.099500e-08
0.21071.6779639.054800e-08
0.21081.6777599.011500e-08
0.21091.6775568.969600e-08
0.2111.6773528.929000e-08
0.21111.677158.889800e-08
0.21121.6769488.851400e-08
0.2112271.6768948.841422e-08
0.21131.6767468.814100e-08
0.21141.6765458.777900e-08
0.21151.6763458.742500e-08
0.21161.6761458.707700e-08
0.21171.6759468.673800e-08
0.21181.6757478.640300e-08
0.21191.6755488.607400e-08
0.2121.6753518.575100e-08
0.21211.6751538.542800e-08
0.21221.6749568.511100e-08
0.21231.674768.479200e-08
0.21241.6745648.447700e-08
0.21251.6743698.416000e-08
0.21261.6741748.384500e-08
0.21271.673988.352700e-08
0.21281.6737878.321100e-08
0.21291.6735938.289400e-08
0.2129921.6734178.260532e-08
0.2131.6734018.257900e-08
0.21311.6732088.226100e-08
0.21321.6730178.194500e-08
0.21331.6728258.162900e-08
0.21341.6726358.131400e-08
0.21351.6724458.099700e-08
0.21361.6722558.068200e-08
0.21371.6720668.036600e-08
0.21381.6718778.005100e-08
0.21391.6716887.973400e-08
0.2141.6715017.942100e-08
0.21411.6713137.910500e-08
0.21421.6711267.879100e-08
0.21431.670947.847700e-08
0.21441.6707547.816200e-08
0.21451.6705697.784800e-08
0.21461.6703847.753400e-08
0.21471.6701997.722200e-08
0.2147711.6700687.699888e-08
0.21481.6700157.690900e-08
0.21491.6698327.659600e-08
0.2151.6696497.628500e-08
0.21511.6694667.597400e-08
0.21521.6692847.566200e-08
0.21531.6691027.535300e-08
0.21541.6689217.504200e-08
0.21551.668747.473200e-08
0.21561.668567.442300e-08
0.21571.668387.411400e-08
0.21581.66827.380700e-08
0.21591.6680217.349900e-08
0.2161.6678437.319100e-08
0.21611.6676647.288600e-08
0.21621.6674877.258000e-08
0.21631.6673097.227600e-08
0.21641.6671337.197200e-08
0.21651.6669567.166700e-08
0.2165661.666847.146764e-08
0.21661.666787.136400e-08
0.21671.6666057.106300e-08
0.21681.666437.076100e-08
0.21691.6662557.046000e-08
0.2171.6660817.015900e-08
0.21711.6659076.986200e-08
0.21721.6657346.956200e-08
0.21731.6655616.926600e-08
0.21741.6653886.896900e-08
0.21751.6652166.867300e-08
0.21761.6650446.837800e-08
0.21771.6648736.808500e-08
0.21781.6647026.779200e-08
0.21791.6645326.749900e-08
0.2181.6643626.720900e-08
0.21811.6641926.691900e-08
0.21821.6640236.663000e-08
0.21831.6638546.634100e-08
0.2183751.6637276.612565e-08
0.21841.6636866.605500e-08
0.21851.6635186.576900e-08
0.21861.663356.548400e-08
0.21871.6631836.520100e-08
0.21881.6630166.491900e-08
0.21891.662856.463700e-08
0.2191.6626846.435600e-08
0.21911.6625186.407900e-08
0.21921.6623536.380100e-08
0.21931.6621886.352500e-08
0.21941.6620246.324800e-08
0.21951.661866.297500e-08
0.21961.6616966.270300e-08
0.21971.6615336.243100e-08
0.21981.661376.216200e-08
0.21991.6612076.189300e-08
0.221.6610456.162500e-08
0.22011.6608836.135900e-08
0.22021.6607226.109621e-08
0.22021.6607226.109600e-08
0.22031.6605616.083200e-08
0.22041.6604016.057100e-08
0.22051.660246.030800e-08
0.22061.660086.005000e-08
0.22071.6599215.979200e-08
0.22081.6597625.953700e-08
0.22091.6596035.928100e-08
0.2211.6594455.902600e-08
0.22111.6592875.877500e-08
0.22121.6591295.852300e-08
0.22131.6589725.827300e-08
0.22141.6588155.802500e-08
0.22151.6586585.777800e-08
0.22161.6585025.753200e-08
0.22171.6583465.728600e-08
0.22181.6581915.704400e-08
0.22191.6580365.680100e-08
0.2221.6578815.656000e-08
0.222041.657825.646451e-08
0.22211.6577275.632000e-08
0.22221.6575735.608200e-08
0.22231.6574195.584600e-08
0.22241.6572665.561100e-08
0.22251.6571135.537500e-08
0.22261.656965.514400e-08
0.22271.6568085.491100e-08
0.22281.6566565.468100e-08
0.22291.6565045.445200e-08
0.2231.6563535.422400e-08
0.22311.6562025.399600e-08
0.22321.6560515.377200e-08
0.22331.6559015.354700e-08
0.22341.6557515.332400e-08
0.22351.6556025.310200e-08
0.22361.6554525.288100e-08
0.22371.6553035.266200e-08
0.22381.6551555.244300e-08
0.2238951.6550145.223868e-08
0.22391.6550075.222800e-08
0.2241.6548595.201100e-08
0.22411.6547115.179700e-08
0.22421.6545645.158400e-08
0.22431.6544175.137200e-08
0.22441.6542715.116100e-08
0.22451.6541245.095100e-08
0.22461.6539785.074400e-08
0.22471.6538335.053700e-08
0.22481.6536875.033100e-08
0.22491.6535425.012600e-08
0.2251.6533984.992300e-08
0.22511.6532544.972100e-08
0.22521.653114.951900e-08
0.22531.6529664.931900e-08
0.22541.6528224.912000e-08
0.22551.6526794.892300e-08
0.22561.6525374.872700e-08
0.22571.6523944.853100e-08
0.2257661.6523014.840340e-08
0.22581.6522524.833700e-08
0.22591.652114.814500e-08
0.2261.6519694.795200e-08
0.22611.6518284.776100e-08
0.22621.6516874.757200e-08
0.22631.6515464.738400e-08
0.22641.6514064.719700e-08
0.22651.6512664.701100e-08
0.22661.6511264.682600e-08
0.22671.6509874.664300e-08
0.22681.6508484.646000e-08
0.22691.6507094.627800e-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
—