Optical constants

Refractive index of S-LAL54 (OHARA)

S-LAL54: n,k 0.33–2.4 µm

Data
formula 2 + tabulated k
Range
0.33–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.33–2.4 µm
Refractive index n
1.65099
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.72578
Permittivity ε2
2.73216e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
56.164
Chromatic dispersion dn/dλ
-0.0597381 µm⁻¹
Group index ng
1.6861
Group velocity dispersion
106.11 fs²/mm
Dispersion parameter D
-578.886 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-LAL54 (OHARA): S-LAL54
ohara_s_lal54 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL54", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal54.range_nm)  # (330, 2400) nm
eps = ohara_s_lal54.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=1.41910189λ2λ2−0.00726647428+0.258416881λ2λ2−0.0263842499+1.07385537λ2λ2−102.555463

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.41910189
C30.00726647428
C40.258416881
C50.0263842499
C61.07385537
C7102.555463

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.76e-06 1.3e-08 -3.27e-11 3.37e-07 4.72e-10 0.262
nd
1.650996
Vd
56.163717
glass code
651562
density
value: 3820
thermal expansion
value: 7.1e-06, temperature range: 243 343; value: 8.3e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 53.0; climatic: 3.0; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -3.88e-07 K⁻¹ at 633 nm, dn/dT = -7.95e-07 K⁻¹ at 1310 nm, dn/dT = -8.22e-07 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 425 wavelengths, the same grid as the API and the library
S-LAL54 (OHARA), S-LAL54: n and k versus wavelength
λ (µm)nk
0.331.6912915.357700e-06
0.3316451.6906524.841732e-06
0.3332981.6900214.323191e-06
0.334961.6893993.802065e-06
0.336631.6887843.278342e-06
0.3383081.6881782.752007e-06
0.3399941.6875792.223049e-06
0.341.6875772.221300e-06
0.3416891.6869882.007194e-06
0.3433931.6864051.791311e-06
0.3451051.6858291.574351e-06
0.3468251.6852611.356310e-06
0.3485541.68471.137181e-06
0.351.6842389.539100e-07
0.3502921.6841469.396732e-07
0.3520381.6835998.543984e-07
0.3537931.6830597.686985e-07
0.3555561.6825266.825713e-07
0.3573291.6819995.960148e-07
0.359111.6814795.090268e-07
0.361.6812234.655800e-07
0.3609011.6809664.460505e-07
0.36271.6804594.070325e-07
0.3645081.6799583.678201e-07
0.3663251.6794633.284121e-07
0.3681511.6789752.888077e-07
0.3699861.6784922.490058e-07
0.371.6784882.487100e-07
0.3718311.6780152.298272e-07
0.3736841.6775452.107088e-07
0.3755471.6770791.914952e-07
0.3774191.676621.721857e-07
0.3793011.6761661.527800e-07
0.381.6759991.455700e-07
0.3811921.6757171.394871e-07
0.3830921.6752741.297882e-07
0.3850021.6748371.200409e-07
0.3869211.6744041.102450e-07
0.388851.6739771.004003e-07
0.391.6737259.453100e-08
0.3907891.6735549.214782e-08
0.3927371.6731378.625977e-08
0.3946941.6727258.034237e-08
0.3966621.6723177.439547e-08
0.398641.6719146.841892e-08
0.41.6716416.430700e-08
0.4006271.6715166.355619e-08
0.4026241.6711236.116387e-08
0.4046311.6707345.875962e-08
0.4066481.670355.634338e-08
0.4086751.669975.391510e-08
0.4107131.6695955.147471e-08
0.412761.6692234.902216e-08
0.4148181.6688574.655738e-08
0.4168861.6684944.408031e-08
0.4189641.6681354.159090e-08
0.421.6679594.035000e-08
0.4210531.6677813.989236e-08
0.4231521.6674313.897981e-08
0.4252611.6670843.806272e-08
0.4273811.6667423.714105e-08
0.4295121.6664033.621479e-08
0.4316531.6660683.528392e-08
0.4338051.6657373.434840e-08
0.4359671.665413.340822e-08
0.4381411.6650863.246335e-08
0.441.6648133.165500e-08
0.4403251.6647663.155850e-08
0.442521.6644493.090645e-08
0.4447261.6641363.025115e-08
0.4469431.6638272.959259e-08
0.4491711.6635212.893074e-08
0.451411.6632182.826559e-08
0.4536611.6629182.759712e-08
0.4559221.6626222.692532e-08
0.4581951.6623292.625018e-08
0.461.66212.571400e-08
0.4604791.662042.555664e-08
0.4627751.6617532.480278e-08
0.4650821.6614692.404517e-08
0.46741.6611892.328377e-08
0.469731.6609122.251858e-08
0.4720721.6606372.174957e-08
0.4744251.6603662.097673e-08
0.476791.6600972.020004e-08
0.4791671.6598311.941948e-08
0.481.6597391.914600e-08
0.4815561.6595681.858656e-08
0.4839571.6593081.772341e-08
0.4863691.6590511.685596e-08
0.4887941.6587961.598419e-08
0.4912311.6585441.510807e-08
0.4936791.6582951.422759e-08
0.496141.6580491.334271e-08
0.4986141.6578041.245342e-08
0.51.6576691.195500e-08
0.5010991.6575631.178842e-08
0.5035971.6573241.140991e-08
0.5061081.6570871.102952e-08
0.5086311.6568531.064723e-08
0.5111671.6566211.026304e-08
0.5137151.6563929.876928e-09
0.5162761.6561659.488894e-09
0.5188491.6559419.098925e-09
0.5214361.6557188.707013e-09
0.5240351.6554988.313146e-09
0.5266481.655287.917317e-09
0.5292731.6550657.519514e-09
0.5319121.6548517.119727e-09
0.5345631.654646.717948e-09
0.5372281.6544316.314166e-09
0.5399061.6542235.908371e-09
0.5425981.6540185.500553e-09
0.5453031.6538155.090703e-09
0.5480211.6536144.678808e-09
0.551.653474.379000e-09
0.5507531.6534154.457040e-09
0.5534991.6532184.741477e-09
0.5562581.6530235.027332e-09
0.5590311.652835.314612e-09
0.5618181.6526395.603324e-09
0.5646191.6524495.893476e-09
0.5674331.6522626.185074e-09
0.5702621.6520766.478125e-09
0.5731051.6518926.772638e-09
0.5759621.6517097.068619e-09
0.5788331.6515297.366075e-09
0.5817191.651357.665014e-09
0.5846191.6511737.965443e-09
0.5875331.6509988.267370e-09
0.5904621.6508248.570802e-09
0.5934061.6506528.875747e-09
0.5963641.6504819.182212e-09
0.5993371.6503129.490205e-09
0.61.6502759.558900e-09
0.6023251.6501459.595914e-09
0.6053271.6499799.643722e-09
0.6083451.6498159.691769e-09
0.6113781.6496529.740056e-09
0.6144261.6494919.788583e-09
0.6174891.6493319.837352e-09
0.6205671.6491739.886364e-09
0.623661.6490169.935621e-09
0.6267691.648869.985123e-09
0.6298941.6487061.003487e-08
0.6330341.6485531.008487e-08
0.636191.6484021.013511e-08
0.6393611.6482521.018561e-08
0.6425491.6481031.023636e-08
0.6457521.6479551.028736e-08
0.6489711.6478091.033862e-08
0.651.6477631.035500e-08
0.6522061.6476641.014400e-08
0.6554581.6475219.833060e-09
0.6587251.6473789.520564e-09
0.6620091.6472379.206511e-09
0.6653091.6470978.890892e-09
0.6686261.6469588.573699e-09
0.6719591.6468218.254926e-09
0.6753091.6466847.934563e-09
0.6786751.6465497.612603e-09
0.6820591.6464157.289038e-09
0.6854591.6462816.963861e-09
0.6888761.6461496.637062e-09
0.692311.6460186.308634e-09
0.6957611.6458885.978568e-09
0.699231.645765.646858e-09
0.71.6457315.573200e-09
0.7027161.6456325.594821e-09
0.7062191.6455055.622713e-09
0.7097391.6453795.650744e-09
0.7132771.6452545.678915e-09
0.7168331.645135.707226e-09
0.7204071.6450075.735679e-09
0.7239981.6448855.764273e-09
0.7276071.6447645.793010e-09
0.7312351.6446445.821890e-09
0.734881.6445255.850914e-09
0.7385431.6444075.880082e-09
0.7422251.6442895.909396e-09
0.7459251.6441725.938857e-09
0.7496441.6440575.968464e-09
0.7533811.6439425.998218e-09
0.7571371.6438286.028121e-09
0.7609111.6437146.058173e-09
0.7647041.6436026.088375e-09
0.7685161.643496.118728e-09
0.7723481.6433796.149231e-09
0.7761981.6432696.179887e-09
0.7800671.6431596.210696e-09
0.7839561.6430516.241658e-09
0.7878641.6429436.272775e-09
0.7917921.6428356.304046e-09
0.7957391.6427296.335474e-09
0.7997061.6426236.367058e-09
0.81.6426156.369400e-09
0.8036931.6425186.663642e-09
0.8076991.6424136.982905e-09
0.8117261.6423097.303761e-09
0.8157721.6422067.626216e-09
0.8198391.6421037.950278e-09
0.8239261.6420018.275956e-09
0.8280331.64198.603258e-09
0.8321611.6417998.932191e-09
0.836311.6416989.262764e-09
0.8404791.6415999.594984e-09
0.8446691.64159.928861e-09
0.8488791.6414011.026440e-08
0.8531111.6413031.060162e-08
0.8573641.6412051.094051e-08
0.8616381.6411081.128110e-08
0.8659341.6410121.162338e-08
0.870251.6409161.196737e-08
0.8745891.6408211.231307e-08
0.8789491.6407251.266050e-08
0.883331.6406311.300966e-08
0.8877341.6405371.336056e-08
0.8921591.6404431.371321e-08
0.8966071.640351.406761e-08
0.91.6402791.433800e-08
0.9010771.6402571.435515e-08
0.9055691.6401651.442671e-08
0.9100831.6400731.449862e-08
0.914621.6399811.457089e-08
0.9191791.639891.464353e-08
0.9237621.6397991.471652e-08
0.9283671.6397091.478988e-08
0.9329951.6396191.486361e-08
0.9376461.6395291.493770e-08
0.942321.639441.501216e-08
0.9470181.639351.508699e-08
0.9517391.6392621.516220e-08
0.9564831.6391731.523778e-08
0.9612521.6390851.531374e-08
0.9660441.6389971.539007e-08
0.9708591.638911.546679e-08
0.9756991.6388221.554389e-08
0.9805631.6387351.562137e-08
0.9854521.6386481.569924e-08
0.9903641.6385621.577750e-08
0.9953011.6384761.585615e-08
11.6383941.593100e-08
1.000261.6383891.593519e-08
1.005251.6383041.601465e-08
1.010261.6382181.609450e-08
1.01531.6381321.617476e-08
1.020361.6380471.625541e-08
1.025451.6379621.633647e-08
1.030561.6378771.641793e-08
1.035691.6377921.649979e-08
1.040861.6377081.658207e-08
1.046051.6376231.666475e-08
1.051261.6375391.674785e-08
1.05651.6374551.683136e-08
1.061771.6373711.691528e-08
1.067061.6372871.699963e-08
1.072381.6372031.708439e-08
1.077731.6371191.716958e-08
1.08311.6370351.725519e-08
1.08851.6369511.734123e-08
1.093931.6368681.742770e-08
1.099381.6367841.751460e-08
1.104861.6367011.760194e-08
1.110371.6366171.768970e-08
1.11591.6365341.777791e-08
1.121471.636451.786655e-08
1.127061.6363671.795564e-08
1.132671.6362841.804517e-08
1.138321.63621.813515e-08
1.1441.6361171.822558e-08
1.14971.6360331.831645e-08
1.155431.635951.840778e-08
1.161191.6358661.849957e-08
1.166981.6357831.859181e-08
1.17281.6356991.868452e-08
1.178641.6356151.877768e-08
1.184521.6355321.887131e-08
1.190421.6354481.896541e-08
1.196361.6353641.905997e-08
1.21.6353121.911800e-08
1.202321.635281.980477e-08
1.208321.6351952.157718e-08
1.214341.6351112.335843e-08
1.220391.6350272.514856e-08
1.226481.6349422.694761e-08
1.232591.6348572.875563e-08
1.238741.6347723.057266e-08
1.244911.6346873.239876e-08
1.251121.6346023.423395e-08
1.257351.6345173.607829e-08
1.263621.6344313.793183e-08
1.269921.6343453.979461e-08
1.276251.6342594.166668e-08
1.282611.6341734.354807e-08
1.289011.6340864.543885e-08
1.295431.6339994.733905e-08
1.301891.6339124.924873e-08
1.308381.6338255.116792e-08
1.314911.6337375.309668e-08
1.321461.633655.503506e-08
1.328051.6335625.698310e-08
1.334671.6334735.894085e-08
1.341321.6333846.090836e-08
1.348011.6332956.288568e-08
1.354731.6332066.487286e-08
1.361481.6331166.686994e-08
1.368271.6330266.887698e-08
1.375091.6329367.089403e-08
1.381951.6328457.292113e-08
1.388831.6327547.495833e-08
1.395761.6326627.700569e-08
1.41.6326067.826000e-08
1.402721.632577.841185e-08
1.409711.6324787.880274e-08
1.416741.6323857.919558e-08
1.42381.6322927.959038e-08
1.43091.6321987.998715e-08
1.438031.6321048.038590e-08
1.44521.632018.078664e-08
1.45241.6319158.118937e-08
1.459641.6318198.159411e-08
1.466921.6317238.200087e-08
1.474231.6316278.240966e-08
1.481581.631538.282048e-08
1.488971.6314328.323335e-08
1.496391.6313348.364828e-08
1.503851.6312358.406528e-08
1.511351.6311368.448436e-08
1.518881.6310368.490553e-08
1.526451.6309368.532879e-08
1.534061.6308358.575417e-08
1.541711.6307348.618166e-08
1.54941.6306328.661129e-08
1.557121.6305298.704306e-08
1.564881.6304268.747699e-08
1.572681.6303228.791307e-08
1.580521.6302178.835133e-08
1.58841.6301128.879177e-08
1.596321.6300068.923441e-08
1.61.6299568.944000e-08
1.604281.6298999.215897e-08
1.612281.6297919.723942e-08
1.620321.6296831.023452e-07
1.628391.6295741.074764e-07
1.636511.6294651.126333e-07
1.644671.6293551.178158e-07
1.652871.6292431.230241e-07
1.661111.6291321.282585e-07
1.669391.6290191.335189e-07
1.677711.6289051.388055e-07
1.686071.6287911.441185e-07
1.694481.6286761.494580e-07
1.702931.628561.548241e-07
1.711421.6284431.602169e-07
1.719951.6283251.656367e-07
1.728521.6282071.710834e-07
1.737141.6280871.765573e-07
1.74581.6279671.820585e-07
1.75451.6278451.875872e-07
1.763251.6277231.931433e-07
1.772041.62761.987272e-07
1.780871.6274762.043389e-07
1.789751.627352.099786e-07
1.798671.6272242.156464e-07
1.81.6272052.164900e-07
1.807641.6270972.273637e-07
1.816651.6269692.401913e-07
1.825711.6268392.530829e-07
1.834811.6267092.660388e-07
1.843951.6265782.790592e-07
1.853151.6264452.921446e-07
1.862391.6263123.052951e-07
1.871671.6261773.185113e-07
1.8811.6260413.317933e-07
1.890381.6259043.451416e-07
1.89981.6257663.585563e-07
1.909271.6256263.720380e-07
1.918791.6254863.855869e-07
1.928351.6253443.992033e-07
1.937971.6252014.128876e-07
1.947631.6250564.266401e-07
1.957341.6249114.404611e-07
1.96711.6247644.543511e-07
1.97691.6246154.683103e-07
1.986761.6244664.823391e-07
1.996661.6243154.964378e-07
21.6242645.011900e-07
2.006621.6241635.373197e-07
2.016621.6240095.919531e-07
2.026671.6238546.468588e-07
2.036771.6236977.020382e-07
2.046931.6235397.574927e-07
2.057131.623388.132236e-07
2.067391.6232198.692324e-07
2.077691.6230579.255204e-07
2.088051.6228939.820890e-07
2.098461.6227271.038940e-06
2.108921.622561.096074e-06
2.119441.6223921.153492e-06
2.131.6222211.211197e-06
2.140621.622051.269190e-06
2.151291.6218761.327472e-06
2.162021.6217011.386044e-06
2.172791.6215241.444909e-06
2.183621.6213451.504067e-06
2.194511.6211651.563519e-06
2.21.6210731.593500e-06
2.205451.6209831.679395e-06
2.216451.6207991.852657e-06
2.227491.6206132.026783e-06
2.23861.6204252.201777e-06
2.249761.6202362.377643e-06
2.260971.6200442.554386e-06
2.272251.6198512.732011e-06
2.283571.6196562.910520e-06
2.294961.6194593.089920e-06
2.30641.6192593.270214e-06
2.317891.6190583.451406e-06
2.329451.6188553.633502e-06
2.341061.6186493.816506e-06
2.352731.6184424.000422e-06
2.364461.6182324.185255e-06
2.376251.6180214.371009e-06
2.38811.6178074.557689e-06
2.41.617594.745300e-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
—