Optical constants

Refractive index of S-LAL12 (OHARA)

S-LAL12: n,k 0.28–2.4 µm

Data
formula 2 + tabulated k
Range
0.28–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.28–2.4 µm
Refractive index n
1.6779
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.81534
Permittivity ε2
2.77668e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
55.341
Chromatic dispersion dn/dλ
-0.0631509 µm⁻¹
Group index ng
1.715
Group velocity dispersion
112.101 fs²/mm
Dispersion parameter D
-611.568 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

# S-LAL12 (OHARA): S-LAL12
ohara_s_lal12 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal12.range_nm)  # (280, 2400) nm
eps = ohara_s_lal12.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=0.992053895λ2λ2−0.0167095063+0.771377731λ2λ2−0.00236750156+1.18296264λ2λ2−105.90108

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.992053895
C30.0167095063
C40.771377731
C50.00236750156
C61.18296264
C7105.90108

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -2.18e-06 1.12e-08 -3.73e-11 3.25e-07 4.77e-10 0.27
nd
1.677900
Vd
55.341195
glass code
678553
density
value: 4010
thermal expansion
value: 7.2e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
-0.0047
resistance
acid: 53.0; climatic: 2.0; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -6.41e-07 K⁻¹ at 633 nm, dn/dT = -1.05e-06 K⁻¹ at 1310 nm, dn/dT = -1.07e-06 K⁻¹ at 1550 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 430 wavelengths, the same grid as the API and the library
S-LAL12 (OHARA), S-LAL12: n and k versus wavelength
λ (µm)nk
0.281.7479376.268800e-06
0.2815121.7468145.982975e-06
0.2830321.7457095.695608e-06
0.284561.7446215.406688e-06
0.2860961.743555.116209e-06
0.2876411.7424944.824162e-06
0.2891941.7414554.530537e-06
0.291.7409244.378100e-06
0.2907551.7404314.270653e-06
0.2923251.7394234.047285e-06
0.2939031.738433.822711e-06
0.295491.7374513.596924e-06
0.2970851.7364873.369919e-06
0.2986891.7355373.141688e-06
0.31.7347752.955200e-06
0.3003021.7346012.925438e-06
0.3019231.7336792.765670e-06
0.3035531.732772.605040e-06
0.3051921.7318742.443542e-06
0.306841.7309912.281172e-06
0.3084971.7301222.117926e-06
0.311.7293471.969800e-06
0.3101621.7292641.958252e-06
0.3118371.7284191.839172e-06
0.3135211.7275861.719449e-06
0.3152131.7267641.599080e-06
0.3169151.7259551.478061e-06
0.3186261.7251561.356388e-06
0.321.7245271.258700e-06
0.3203471.7243691.243722e-06
0.3220761.7235931.168961e-06
0.3238151.7228281.093796e-06
0.3255631.7220741.018226e-06
0.3273211.721339.422478e-07
0.3290881.7205968.658594e-07
0.331.7202238.264500e-07
0.3308651.7198727.985687e-07
0.3326511.7191587.409925e-07
0.3344471.7184546.831053e-07
0.3362531.717766.249056e-07
0.3380691.7170755.663917e-07
0.3398941.71645.075619e-07
0.341.7163615.041400e-07
0.3417291.7157334.730934e-07
0.3435741.7150764.399624e-07
0.3454291.7144274.066525e-07
0.3472941.7137873.731628e-07
0.3491691.7131563.394923e-07
0.351.712883.245700e-07
0.3510541.7125333.096838e-07
0.352951.7119182.829193e-07
0.3548551.7113122.560104e-07
0.3567711.7107132.289561e-07
0.3586971.7101232.017558e-07
0.361.7097291.833600e-07
0.3606341.709541.789677e-07
0.3625811.7089651.654763e-07
0.3645391.7083971.519121e-07
0.3665071.7078371.382746e-07
0.3684861.7072841.245636e-07
0.371.7068671.140700e-07
0.3704751.7067381.121409e-07
0.3724751.7061991.040180e-07
0.3744861.7056679.585122e-08
0.3765081.7051428.764038e-08
0.3785411.7046247.938520e-08
0.381.7042587.346000e-08
0.3805851.7041127.209164e-08
0.382641.7036076.728299e-08
0.3847051.7031086.244837e-08
0.3867821.7026165.758766e-08
0.3888711.702135.270070e-08
0.391.7018715.005800e-08
0.390971.701654.892957e-08
0.3930811.7011764.647462e-08
0.3952031.7007084.400641e-08
0.3973371.7002464.152489e-08
0.3994821.6997893.902996e-08
0.41.699683.842800e-08
0.4016391.6993393.747871e-08
0.4038081.6988933.622295e-08
0.4059881.6984543.496040e-08
0.408181.698023.369104e-08
0.4103841.6975913.241482e-08
0.4125991.6971673.113172e-08
0.4148271.6967492.984168e-08
0.4170671.6963362.854469e-08
0.4193181.6959282.724068e-08
0.421.6958062.684600e-08
0.4215821.6955252.638917e-08
0.4238591.6951262.573204e-08
0.4261471.6947332.507137e-08
0.4284481.6943442.440713e-08
0.4307611.693962.373930e-08
0.4330871.6935812.306787e-08
0.4354251.6932062.239281e-08
0.4377761.6928362.171411e-08
0.441.6924912.107200e-08
0.4401391.692472.105302e-08
0.4425161.6921082.072948e-08
0.4449051.6917512.040419e-08
0.4473071.6913982.007715e-08
0.4497221.6910491.974834e-08
0.452151.6907051.941776e-08
0.4545911.6903641.908539e-08
0.4570461.6900271.875123e-08
0.4595131.6896951.841526e-08
0.461.689631.834900e-08
0.4619941.6893661.766367e-08
0.4644891.6890411.680649e-08
0.4669961.688721.594468e-08
0.4695181.6884021.507822e-08
0.4720531.6880881.420708e-08
0.4746011.6877781.333124e-08
0.4771641.6874711.245067e-08
0.479741.6871681.156534e-08
0.481.6871381.147600e-08
0.482331.6868691.106702e-08
0.4849341.6865721.060995e-08
0.4875531.686281.015042e-08
0.4901851.685999.688409e-09
0.4928311.6857049.223901e-09
0.4954921.6854218.756885e-09
0.4981671.6851418.287348e-09
0.51.6849527.965700e-09
0.5008571.6848647.904221e-09
0.5035611.6845917.710240e-09
0.506281.684327.515213e-09
0.5090131.6840537.319132e-09
0.5117621.6837887.121993e-09
0.5145251.6835276.923789e-09
0.5173031.6832686.724515e-09
0.5200961.6830126.524165e-09
0.5229041.6827596.322734e-09
0.5257271.6825096.120215e-09
0.5285651.6822615.916603e-09
0.5314191.6820175.711891e-09
0.5342881.6817745.506074e-09
0.5371731.6815355.299146e-09
0.5400731.6812985.091101e-09
0.5429891.6810634.881932e-09
0.5459211.6808324.671634e-09
0.5488681.6806024.460201e-09
0.551.6805154.379000e-09
0.5518311.6803754.568730e-09
0.5548111.6801514.877387e-09
0.5578061.6799285.187711e-09
0.5608181.6797095.499711e-09
0.5638461.6794915.813395e-09
0.566891.6792766.128772e-09
0.5699511.6790636.445852e-09
0.5730281.6788526.764644e-09
0.5761221.6786437.085158e-09
0.5792321.6784377.407402e-09
0.582361.6782337.731385e-09
0.5855041.6780318.057118e-09
0.5886651.677838.384610e-09
0.5918431.6776328.713869e-09
0.5950391.6774369.044907e-09
0.5982511.6772429.377731e-09
0.61.6771389.558900e-09
0.6014811.677059.582484e-09
0.6047291.676869.634190e-09
0.6079941.6766719.686175e-09
0.6112761.6764859.738440e-09
0.6145771.67639.790988e-09
0.6178951.6761179.843820e-09
0.6212311.6759369.896936e-09
0.6245851.6757579.950340e-09
0.6279571.675581.000403e-08
0.6313471.6754041.005801e-08
0.6347561.675231.011229e-08
0.6381831.6750571.016685e-08
0.6416291.6748871.022171e-08
0.6450931.6747181.027687e-08
0.6485761.674551.033233e-08
0.651.6744821.035500e-08
0.6520781.6743841.038812e-08
0.6555981.674221.044424e-08
0.6591381.6740571.050066e-08
0.6626971.6738951.055738e-08
0.6662741.6737351.061442e-08
0.6698721.6735771.067176e-08
0.6734881.673421.072941e-08
0.6771251.6732641.078737e-08
0.680781.673111.084564e-08
0.6844561.6729571.090423e-08
0.6881521.6728061.096313e-08
0.6918671.6726561.102236e-08
0.6956021.6725071.108190e-08
0.6993581.6723591.114177e-08
0.71.6723341.115200e-08
0.7031341.6722131.100212e-08
0.706931.6720681.082056e-08
0.7107471.6719241.063802e-08
0.7145841.6717821.045450e-08
0.7184421.6716411.026998e-08
0.7223211.67151.008447e-08
0.7262211.6713619.897950e-09
0.7301421.6712249.710429e-09
0.7340841.6710879.521894e-09
0.7380471.6709519.332342e-09
0.7420321.6708179.141766e-09
0.7460391.6706838.950162e-09
0.7500661.6705518.757523e-09
0.7541161.6704198.563844e-09
0.7581881.6702898.369119e-09
0.7622811.670168.173343e-09
0.7663971.6700317.976510e-09
0.7705351.6699047.778614e-09
0.7746951.6697777.579650e-09
0.7788771.6696527.379611e-09
0.7830831.6695277.178493e-09
0.787311.6694036.976288e-09
0.7915611.6692816.772992e-09
0.7958351.6691596.568598e-09
0.81.6690416.369400e-09
0.8001321.6690386.389352e-09
0.8044521.6689177.043766e-09
0.8087951.6687987.701714e-09
0.8131621.6686798.363214e-09
0.8175521.6685619.028286e-09
0.8219661.6684449.696948e-09
0.8264041.6683281.036922e-08
0.8308661.6682121.104512e-08
0.8353521.6680971.172467e-08
0.8398621.6679831.240789e-08
0.8443961.667871.309480e-08
0.8489551.6677571.378542e-08
0.8535391.6676451.447977e-08
0.8581471.6675341.517786e-08
0.862781.6674231.587973e-08
0.8674381.6673131.658538e-08
0.8721221.6672031.729484e-08
0.876831.6670941.800814e-08
0.8815651.6669861.872528e-08
0.8863241.6668781.944630e-08
0.8911091.6667712.017121e-08
0.8959211.6666642.090003e-08
0.91.6665752.151800e-08
0.9007581.6665582.159664e-08
0.9056211.6664532.210129e-08
0.9105111.6663472.260868e-08
0.9154261.6662432.311880e-08
0.9203691.6661392.363168e-08
0.9253381.6660352.414733e-08
0.9303341.6659322.466576e-08
0.9353571.6658292.518699e-08
0.9404071.6657272.571104e-08
0.9454841.6656252.623791e-08
0.9505891.6655232.676763e-08
0.9557211.6654222.730021e-08
0.9608811.6653212.783566e-08
0.9660691.6652212.837400e-08
0.9712851.6651212.891526e-08
0.9765291.6650212.945943e-08
0.9818011.6649223.000654e-08
0.9871021.6648233.055661e-08
0.9924321.6647243.110964e-08
0.997791.6646263.166566e-08
11.6645853.189500e-08
1.003181.6645273.199633e-08
1.008591.6644293.216908e-08
1.014041.6643323.234277e-08
1.019511.6642343.251739e-08
1.025021.6641373.269295e-08
1.030551.664043.286946e-08
1.036121.6639433.304693e-08
1.041711.6638473.322535e-08
1.047331.663753.340474e-08
1.052991.6636543.358509e-08
1.058671.6635583.376642e-08
1.064391.6634623.394873e-08
1.070141.6633663.413202e-08
1.075911.663273.431630e-08
1.081721.6631753.450158e-08
1.087561.6630793.468785e-08
1.093441.6629843.487513e-08
1.099341.6628893.506343e-08
1.105271.6627933.525274e-08
1.111241.6626983.544307e-08
1.117241.6626033.563443e-08
1.123271.6625083.582682e-08
1.129341.6624133.602025e-08
1.135441.6623173.621473e-08
1.141571.6622223.641025e-08
1.147731.6621273.660684e-08
1.153931.6620323.680448e-08
1.160161.6619373.700319e-08
1.166421.6618413.720297e-08
1.172721.6617463.740383e-08
1.179051.661653.760578e-08
1.185421.6615553.780882e-08
1.191821.6614593.801295e-08
1.198251.6613633.821818e-08
1.21.6613373.827400e-08
1.204721.6612673.974754e-08
1.211221.6611714.177839e-08
1.217761.6610754.382022e-08
1.224341.6609794.587306e-08
1.230951.6608824.793699e-08
1.237591.6607855.001207e-08
1.244281.6606885.209834e-08
1.250991.6605915.419588e-08
1.257751.6604945.630475e-08
1.264541.6603965.842500e-08
1.271371.6602986.055670e-08
1.278231.66026.269991e-08
1.285131.6601026.485468e-08
1.292071.6600036.702110e-08
1.299051.6599046.919921e-08
1.306061.6598057.138908e-08
1.313111.6597057.359077e-08
1.32021.6596057.580435e-08
1.327331.6595057.802988e-08
1.33451.6594048.026743e-08
1.34171.6593038.251705e-08
1.348941.6592018.477883e-08
1.356231.6590998.705281e-08
1.363551.6589978.933907e-08
1.370911.6588949.163768e-08
1.378311.6587919.394870e-08
1.385751.6586889.627219e-08
1.393241.6585849.860823e-08
1.41.658491.007200e-07
1.400761.6584791.007746e-07
1.408321.6583741.013187e-07
1.415931.6582681.018658e-07
1.423571.6581621.024158e-07
1.431261.6580561.029688e-07
1.438981.6579491.035248e-07
1.446751.6578411.040838e-07
1.454561.6577331.046458e-07
1.462421.6576241.052109e-07
1.470311.6575141.057790e-07
1.478251.6574041.063501e-07
1.486231.6572931.069244e-07
1.494261.6571821.075017e-07
1.502321.657071.080822e-07
1.510431.6569571.086658e-07
1.518591.6568441.092525e-07
1.526791.656731.098425e-07
1.535031.6566151.104356e-07
1.543321.6564991.110319e-07
1.551651.6563831.116314e-07
1.560031.6562661.122341e-07
1.568451.6561481.128402e-07
1.576921.6560291.134494e-07
1.585431.655911.140620e-07
1.593991.6557891.146779e-07
1.61.6557051.151100e-07
1.60261.6556681.171861e-07
1.611251.6555461.240934e-07
1.619951.6554231.310380e-07
1.62871.65531.380201e-07
1.637491.6551751.450400e-07
1.646331.6550491.520977e-07
1.655221.6549231.591935e-07
1.664161.6547951.663276e-07
1.673141.6546671.735003e-07
1.682181.6545371.807117e-07
1.691261.6544071.879620e-07
1.700391.6542751.952514e-07
1.709571.6541432.025802e-07
1.71881.6540092.099486e-07
1.728081.6538742.173568e-07
1.737411.6537382.248050e-07
1.746791.6536012.322933e-07
1.756221.6534632.398221e-07
1.76571.6533242.473916e-07
1.775241.6531842.550019e-07
1.784821.6530422.626533e-07
1.794461.6528992.703460e-07
1.81.6528172.747700e-07
1.804151.6527552.815139e-07
1.813891.652612.973558e-07
1.823681.6524633.132831e-07
1.833531.6523153.292964e-07
1.843431.6521663.453962e-07
1.853381.6520163.615829e-07
1.863391.6518643.778571e-07
1.873451.6517113.942190e-07
1.883561.6515564.106693e-07
1.893731.65144.272085e-07
1.903951.6512424.438369e-07
1.914231.6510834.605551e-07
1.924571.6509234.773636e-07
1.934961.6507614.942628e-07
1.945411.6505975.112532e-07
1.955911.6504325.283354e-07
1.966471.6502655.455098e-07
1.977091.6500975.627770e-07
1.987761.6499275.801374e-07
1.998491.6497565.975915e-07
21.6497326.000400e-07
2.009281.6495826.569102e-07
2.020131.6494087.233591e-07
2.031041.6492317.901667e-07
2.042011.6490528.573351e-07
2.053031.6488729.248661e-07
2.064111.648699.927617e-07
2.075261.6485061.061024e-06
2.086461.6483211.129655e-06
2.097731.6481331.198656e-06
2.109051.6479431.268030e-06
2.120441.6477521.337778e-06
2.131891.6475581.407903e-06
2.14341.6473631.478407e-06
2.154971.6471651.549291e-06
2.166611.6469661.620558e-06
2.17831.6467641.692209e-06
2.190071.646561.764248e-06
2.21.6463871.825100e-06
2.201891.6463541.864647e-06
2.213781.6461462.113431e-06
2.225731.6459362.363557e-06
2.237751.6457232.615035e-06
2.249831.6455092.867869e-06
2.261981.6452913.122069e-06
2.274191.6450723.377642e-06
2.286471.644853.634594e-06
2.298811.6446263.892933e-06
2.311221.6443994.152668e-06
2.32371.6441694.413804e-06
2.336251.6439384.676351e-06
2.348861.6437034.940315e-06
2.361541.6434665.205704e-06
2.374291.6432275.472526e-06
2.387111.6429845.740789e-06
2.41.6427396.010500e-06

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
—