Optical constants

Refractive index of S-LAL56 (OHARA)

S-LAL56: 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
1.6779
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.81533
Permittivity ε2
4.34927e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
50.722
Chromatic dispersion dn/dλ
-0.0686288 µm⁻¹
Group index ng
1.71822
Group velocity dispersion
124.785 fs²/mm
Dispersion parameter D
-680.769 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-LAL56 (OHARA): S-LAL56
ohara_s_lal56 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL56", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal56.range_nm)  # (330, 2400) nm
eps = ohara_s_lal56.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=1.54052λ2λ2−0.00826765101+0.217748704λ2λ2−0.0328533726+1.30456122λ2λ2−124.527479

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.54052
C30.00826765101
C40.217748704
C50.0328533726
C61.30456122
C7124.527479

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.53e-06 1.39e-08 -3.57e-11 4.25e-07 4.38e-10 0.265
nd
1.677898
Vd
50.722184
glass code
678507
glass status
special
density
value: 3850
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0037
resistance
acid: 51.0; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.06e-06 K⁻¹ at 633 nm, dn/dT = 1.47e-06 K⁻¹ at 1310 nm, dn/dT = 1.43e-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 425 wavelengths, the same grid as the API and the library
S-LAL56 (OHARA), S-LAL56: n and k versus wavelength
λ (µm)nk
0.331.7256191.209300e-05
0.3316451.7248391.086684e-05
0.3332981.7240699.634573e-06
0.334961.7233118.396160e-06
0.336631.7225637.151574e-06
0.3383081.7218265.900783e-06
0.3399941.7210994.643756e-06
0.341.7210974.639600e-06
0.3416891.7203834.172631e-06
0.3433931.7196763.701785e-06
0.3451051.7189793.228592e-06
0.3468251.7182912.753040e-06
0.3485541.7176132.275118e-06
0.351.7170561.875400e-06
0.3502921.7169441.845873e-06
0.3520381.7162851.669012e-06
0.3537931.7156341.491270e-06
0.3555561.7149921.312642e-06
0.3573291.7143581.133123e-06
0.359111.7137339.527090e-07
0.361.7134258.626000e-07
0.3609011.7131168.249116e-07
0.36271.7125077.496140e-07
0.3645081.7119076.739409e-07
0.3663251.7113145.978906e-07
0.3681511.7107295.214612e-07
0.3699861.7101514.446508e-07
0.371.7101474.440800e-07
0.3718311.7095814.041467e-07
0.3736841.7090193.637153e-07
0.3755471.7084633.230823e-07
0.3774191.7079152.822468e-07
0.3793011.7073742.412078e-07
0.381.7071752.259600e-07
0.3811921.7068392.148999e-07
0.3830921.7063121.972652e-07
0.3850021.7057911.795425e-07
0.3869211.7052761.617315e-07
0.388851.7047681.438317e-07
0.391.7044691.331600e-07
0.3907891.7042661.290148e-07
0.3927371.7037711.187732e-07
0.3946941.7032821.084806e-07
0.3966621.7027989.813667e-08
0.398641.7023218.774119e-08
0.41.7019978.058900e-08
0.4006271.7018497.954015e-08
0.4026241.7013847.619817e-08
0.4046311.7009247.283952e-08
0.4066481.7004696.946413e-08
0.4086751.700026.607192e-08
0.4107131.6995776.266279e-08
0.412761.6991395.923667e-08
0.4148181.6987065.579347e-08
0.4168861.6982785.233310e-08
0.4189641.6978554.885548e-08
0.421.6976474.712200e-08
0.4210531.6974384.649398e-08
0.4231521.6970254.524171e-08
0.4252611.6966174.398320e-08
0.4273811.6962144.271842e-08
0.4295121.6958164.144733e-08
0.4316531.6954234.016990e-08
0.4338051.6950343.888611e-08
0.4359671.6946493.759591e-08
0.4381411.6942693.629928e-08
0.441.6939493.519000e-08
0.4403251.6938943.503609e-08
0.442521.6935223.399606e-08
0.4447261.6931553.295084e-08
0.4469431.6927933.190041e-08
0.4491711.6924343.084475e-08
0.451411.6920792.978383e-08
0.4536611.6917292.871761e-08
0.4559221.6913822.764608e-08
0.4581951.691042.656921e-08
0.461.6907722.571400e-08
0.4604791.6907012.555664e-08
0.4627751.6903662.480278e-08
0.4650821.6900352.404517e-08
0.46741.6897082.328377e-08
0.469731.6893842.251858e-08
0.4720721.6890642.174957e-08
0.4744251.6887472.097673e-08
0.476791.6884342.020004e-08
0.4791671.6881241.941948e-08
0.481.6880171.914600e-08
0.4815561.6878181.858656e-08
0.4839571.6875151.772341e-08
0.4863691.6872161.685596e-08
0.4887941.6869191.598419e-08
0.4912311.6866261.510807e-08
0.4936791.6863361.422759e-08
0.496141.686051.334271e-08
0.4986141.6857661.245342e-08
0.51.6856091.195500e-08
0.5010991.6854851.188480e-08
0.5035971.6852081.172529e-08
0.5061081.6849331.156498e-08
0.5086311.6846611.140388e-08
0.5111671.6843931.124197e-08
0.5137151.6841271.107925e-08
0.5162761.6838641.091573e-08
0.5188491.6836031.075138e-08
0.5214361.6833461.058622e-08
0.5240351.6830911.042024e-08
0.5266481.6828391.025343e-08
0.5292731.6825891.008578e-08
0.5319121.6823429.917305e-09
0.5345631.6820989.747986e-09
0.5372281.6818569.577823e-09
0.5399061.6816179.406812e-09
0.5425981.681389.234948e-09
0.5453031.6811459.062228e-09
0.5480211.6809138.888646e-09
0.551.6807478.762300e-09
0.5507531.6806848.846408e-09
0.5534991.6804569.152964e-09
0.5562581.6802319.461048e-09
0.5590311.6800099.770667e-09
0.5618181.6797881.008183e-08
0.5646191.679571.039454e-08
0.5674331.6793541.070882e-08
0.5702621.679141.102466e-08
0.5731051.6789281.134207e-08
0.5759621.6787181.166107e-08
0.5788331.6785111.198166e-08
0.5817191.6783051.230384e-08
0.5846191.6781011.262763e-08
0.5875331.67791.295304e-08
0.5904621.67771.328007e-08
0.5934061.6775031.360872e-08
0.5963641.6773071.393902e-08
0.5993371.6771131.427096e-08
0.61.677071.434500e-08
0.6023251.6769211.440061e-08
0.6053271.6767311.447243e-08
0.6083451.6765431.454461e-08
0.6113781.6763561.461715e-08
0.6144261.6761711.469006e-08
0.6174891.6759881.476333e-08
0.6205671.6758071.483696e-08
0.623661.6756271.491096e-08
0.6267691.675451.498532e-08
0.6298941.6752731.506006e-08
0.6330341.6750991.513518e-08
0.636191.6749261.521066e-08
0.6393611.6747541.528652e-08
0.6425491.6745841.536276e-08
0.6457521.6744161.543938e-08
0.6489711.6742491.551639e-08
0.651.6741971.554100e-08
0.6522061.6740841.534734e-08
0.6554581.673921.506193e-08
0.6587251.6737581.477511e-08
0.6620091.6735971.448685e-08
0.6653091.6734381.419716e-08
0.6686261.673281.390602e-08
0.6719591.6731231.361344e-08
0.6753091.6729681.331939e-08
0.6786751.6728141.302388e-08
0.6820591.6726621.272689e-08
0.6854591.672511.242843e-08
0.6888761.672361.212847e-08
0.692311.6722121.182702e-08
0.6957611.6720641.152407e-08
0.699231.6719181.121961e-08
0.71.6718861.115200e-08
0.7027161.6717731.102212e-08
0.7062191.671631.085458e-08
0.7097391.6714871.068621e-08
0.7132771.6713461.051699e-08
0.7168331.6712051.034693e-08
0.7204071.6710661.017603e-08
0.7239981.6709291.000427e-08
0.7276071.6707929.831651e-09
0.7312351.6706569.658175e-09
0.734881.6705219.483835e-09
0.7385431.6703889.308625e-09
0.7422251.6702559.132542e-09
0.7459251.6701248.955581e-09
0.7496441.6699938.777738e-09
0.7533811.6698648.599008e-09
0.7571371.6697358.419387e-09
0.7609111.6696088.238871e-09
0.7647041.6694818.057455e-09
0.7685161.6693567.875135e-09
0.7723481.6692317.691905e-09
0.7761981.6691077.507762e-09
0.7800671.6689847.322702e-09
0.7839561.6688627.136718e-09
0.7878641.6687416.949808e-09
0.7917921.6686216.761966e-09
0.7957391.6685026.573187e-09
0.7997061.6683836.383467e-09
0.81.6683746.369400e-09
0.8036931.6682656.663642e-09
0.8076991.6681486.982905e-09
0.8117261.6680327.303761e-09
0.8157721.6679177.626216e-09
0.8198391.6678027.950278e-09
0.8239261.6676898.275956e-09
0.8280331.6675758.603258e-09
0.8321611.6674638.932191e-09
0.836311.6673519.262764e-09
0.8404791.667249.594984e-09
0.8446691.667139.928861e-09
0.8488791.6670211.026440e-08
0.8531111.6669121.060162e-08
0.8573641.6668031.094051e-08
0.8616381.6666961.128110e-08
0.8659341.6665891.162338e-08
0.870251.6664821.196737e-08
0.8745891.6663771.231307e-08
0.8789491.6662711.266050e-08
0.883331.6661671.300966e-08
0.8877341.6660631.336056e-08
0.8921591.6659591.371321e-08
0.8966071.6658571.406761e-08
0.91.6657791.433800e-08
0.9010771.6657541.435515e-08
0.9055691.6656521.442671e-08
0.9100831.6655511.449862e-08
0.914621.665451.457089e-08
0.9191791.665351.464353e-08
0.9237621.665251.471652e-08
0.9283671.6651511.478988e-08
0.9329951.6650521.486361e-08
0.9376461.6649531.493770e-08
0.942321.6648551.501216e-08
0.9470181.6647581.508699e-08
0.9517391.6646611.516220e-08
0.9564831.6645641.523778e-08
0.9612521.6644681.531374e-08
0.9660441.6643721.539007e-08
0.9708591.6642761.546679e-08
0.9756991.6641811.554389e-08
0.9805631.6640861.562137e-08
0.9854521.6639911.569924e-08
0.9903641.6638971.577750e-08
0.9953011.6638031.585615e-08
11.6637151.593100e-08
1.000261.663711.594778e-08
1.005251.6636171.626591e-08
1.010261.6635241.658563e-08
1.01531.6634311.690695e-08
1.020361.6633391.722987e-08
1.025451.6632471.755439e-08
1.030561.6631551.788054e-08
1.035691.6630631.820831e-08
1.040861.6629721.853772e-08
1.046051.6628811.886876e-08
1.051261.662791.920146e-08
1.05651.6626991.953582e-08
1.061771.6626091.987184e-08
1.067061.6625182.020954e-08
1.072381.6624282.054892e-08
1.077731.6623382.088999e-08
1.08311.6622492.123277e-08
1.08851.6621592.157725e-08
1.093931.6620692.192345e-08
1.099381.661982.227137e-08
1.104861.6618912.262103e-08
1.110371.6618022.297244e-08
1.11591.6617132.332559e-08
1.121471.6616242.368051e-08
1.127061.6615352.403719e-08
1.132671.6614462.439565e-08
1.138321.6613572.475590e-08
1.1441.6612692.511795e-08
1.14971.661182.548180e-08
1.155431.6610912.584746e-08
1.161191.6610032.621495e-08
1.166981.6609142.658427e-08
1.17281.6608262.695543e-08
1.178641.6607372.732844e-08
1.184521.6606492.770331e-08
1.190421.660562.808005e-08
1.196361.6604722.845867e-08
1.21.6604182.869100e-08
1.202321.6603832.926661e-08
1.208321.6602943.075213e-08
1.214341.6602063.224505e-08
1.220391.6601173.374542e-08
1.226481.6600283.525327e-08
1.232591.6599393.676864e-08
1.238741.659853.829156e-08
1.244911.6597613.982207e-08
1.251121.6596724.136021e-08
1.257351.6595824.290602e-08
1.263621.6594934.445954e-08
1.269921.6594034.602080e-08
1.276251.6593134.758984e-08
1.282611.6592234.916671e-08
1.289011.6591335.075143e-08
1.295431.6590435.234406e-08
1.301891.6589525.394463e-08
1.308381.6588625.555317e-08
1.314911.6587715.716973e-08
1.321461.658685.879436e-08
1.328051.6585886.042708e-08
1.334671.6584976.206794e-08
1.341321.6584056.371698e-08
1.348011.6583136.537424e-08
1.354731.658226.703976e-08
1.361481.6581286.871359e-08
1.368271.6580357.039576e-08
1.375091.6579417.208632e-08
1.381951.6578487.378530e-08
1.388831.6577547.549275e-08
1.395761.657667.720872e-08
1.41.6576027.826000e-08
1.402721.6575657.841185e-08
1.409711.657477.880274e-08
1.416741.6573757.919558e-08
1.42381.657287.959038e-08
1.43091.6571847.998715e-08
1.438031.6570878.038590e-08
1.44521.656998.078664e-08
1.45241.6568938.118937e-08
1.459641.6567968.159411e-08
1.466921.6566988.200087e-08
1.474231.6565998.240966e-08
1.481581.65658.282048e-08
1.488971.6564018.323335e-08
1.496391.6563018.364828e-08
1.503851.6562018.406528e-08
1.511351.65618.448436e-08
1.518881.6559988.490553e-08
1.526451.6558968.532879e-08
1.534061.6557948.575417e-08
1.541711.6556918.618166e-08
1.54941.6555888.661129e-08
1.557121.6554848.704306e-08
1.564881.6553798.747699e-08
1.572681.6552748.791307e-08
1.580521.6551688.835133e-08
1.58841.6550618.879177e-08
1.596321.6549548.923441e-08
1.61.6549058.944000e-08
1.604281.6548479.184780e-08
1.612281.6547389.634683e-08
1.620321.6546291.008683e-07
1.628391.654521.054123e-07
1.636511.6544091.099789e-07
1.644671.6542981.145684e-07
1.652871.6541861.191807e-07
1.661111.6540741.238160e-07
1.669391.6539611.284744e-07
1.677711.6538471.331560e-07
1.686071.6537321.378609e-07
1.694481.6536171.425893e-07
1.702931.65351.473413e-07
1.711421.6533831.521170e-07
1.719951.6532661.569165e-07
1.728521.6531471.617399e-07
1.737141.6530271.665874e-07
1.74581.6529071.714590e-07
1.75451.6527861.763549e-07
1.763251.6526641.812752e-07
1.772041.6525411.862200e-07
1.780871.6524171.911895e-07
1.789751.6522921.961838e-07
1.798671.6521662.012030e-07
1.81.6521472.019500e-07
1.807641.6520392.108750e-07
1.816651.6519122.214039e-07
1.825711.6517832.319852e-07
1.834811.6516542.426193e-07
1.843951.6515232.533064e-07
1.853151.6513912.640468e-07
1.862391.6512582.748407e-07
1.871671.6511252.856884e-07
1.8811.650992.965903e-07
1.890381.6508543.075464e-07
1.89981.6507173.185572e-07
1.909271.6505793.296228e-07
1.918791.650443.407437e-07
1.928351.6502993.519199e-07
1.937971.6501583.631519e-07
1.947631.6500153.744399e-07
1.957341.6498713.857841e-07
1.96711.6497263.971849e-07
1.97691.6495794.086426e-07
1.986761.6494324.201573e-07
1.996661.6492834.317295e-07
21.6492324.356300e-07
2.006621.6491334.644915e-07
2.016621.6489815.081343e-07
2.026671.6488285.519946e-07
2.036771.6486745.960736e-07
2.046931.6485186.403723e-07
2.057131.6483626.848918e-07
2.067391.6482037.296333e-07
2.077691.6480447.745978e-07
2.088051.6478828.197865e-07
2.098461.647728.652005e-07
2.108921.6475569.108408e-07
2.119441.647399.567087e-07
2.131.6472231.002805e-06
2.140621.6470541.049132e-06
2.151291.6468841.095689e-06
2.162021.6467121.142478e-06
2.172791.6465391.189501e-06
2.183621.6463641.236758e-06
2.194511.6461871.284250e-06
2.21.6460981.308200e-06
2.205451.6460091.382226e-06
2.216451.6458291.531548e-06
2.227491.6456471.681614e-06
2.23861.6454641.832428e-06
2.249761.6452791.983994e-06
2.260971.6450922.136316e-06
2.272251.6449032.289397e-06
2.283571.6447122.443241e-06
2.294961.644522.597852e-06
2.30641.6443252.753234e-06
2.317891.6441292.909390e-06
2.329451.6439313.066325e-06
2.341061.6437313.224042e-06
2.352731.6435293.382545e-06
2.364461.6433253.541839e-06
2.376251.6431193.701927e-06
2.38811.642913.862812e-06
2.41.64274.024500e-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
—