Optical constants

Refractive index of S-LAL58 (OHARA)

S-LAL58: n,k 0.32–2.4 µm

Data
formula 2 + tabulated k
Range
0.32–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.4 µm
Refractive index n
1.69349
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.86792
Permittivity ε2
4.38970e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
50.811
Chromatic dispersion dn/dλ
-0.0700996 µm⁻¹
Group index ng
1.73468
Group velocity dispersion
127.754 fs²/mm
Dispersion parameter D
-696.963 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-LAL58 (OHARA): S-LAL58
ohara_s_lal58 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL58", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal58.range_nm)  # (320, 2400) nm
eps = ohara_s_lal58.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=1.06368789λ2λ2−0.018519964+0.744939067λ2λ2−0.00116295862+1.59178942λ2λ2−156.636025

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.06368789
C30.018519964
C40.744939067
C50.00116295862
C61.59178942
C7156.636025

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -6.04e-07 8.69e-09 -3.71e-11 6.22e-07 5.61e-10 0.185
nd
1.693495
Vd
50.810652
glass code
694508
density
value: 4030
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
-0.0047
resistance
acid: 52.2; climatic: 3.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.01e-07 K⁻¹ at 633 nm, dn/dT = -1.26e-07 K⁻¹ at 1310 nm, dn/dT = -1.83e-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 426 wavelengths, the same grid as the API and the library
S-LAL58 (OHARA), S-LAL58: n and k versus wavelength
λ (µm)nk
0.321.746719.961900e-06
0.321621.7458598.992187e-06
0.3232481.745028.017565e-06
0.3248851.7441927.038008e-06
0.326531.7433756.053493e-06
0.3281831.742575.063993e-06
0.3298441.7417754.069483e-06
0.331.7417013.976200e-06
0.3315141.7409913.634253e-06
0.3331921.7402183.255200e-06
0.3348791.7394552.874228e-06
0.3365751.7387022.491327e-06
0.3382791.7379592.106487e-06
0.3399911.7372261.719699e-06
0.341.7372221.717700e-06
0.3417121.7365031.560768e-06
0.3434421.7357891.402227e-06
0.3451811.7350851.242883e-06
0.3469291.734391.082732e-06
0.3486851.7337049.217700e-07
0.351.7331988.012600e-07
0.350451.7330267.831447e-07
0.3522251.7323587.117683e-07
0.3540081.7316986.400306e-07
0.35581.7310475.679296e-07
0.3576011.7304044.954636e-07
0.3594121.729774.226308e-07
0.361.7295663.989600e-07
0.3612311.7291433.742045e-07
0.363061.7285253.374330e-07
0.3648981.7279143.004754e-07
0.3667451.7273122.633307e-07
0.3686021.7267162.259979e-07
0.371.7262751.978900e-07
0.3704681.7261291.941098e-07
0.3723441.7255481.789666e-07
0.3742291.7249751.637468e-07
0.3761231.7244091.484498e-07
0.3780281.723851.330755e-07
0.3799411.7232991.176233e-07
0.381.7232821.171500e-07
0.3818651.7227541.087701e-07
0.3837981.7222151.000830e-07
0.3857411.7216849.135199e-08
0.3876941.7211598.257674e-08
0.3896571.720647.375708e-08
0.391.720557.221500e-08
0.391631.7201286.776039e-08
0.3936121.7196216.234032e-08
0.3956051.7191225.689281e-08
0.3976081.7186285.141773e-08
0.3996211.718144.591493e-08
0.41.7180494.487800e-08
0.4016441.7176584.367291e-08
0.4036771.7171824.218224e-08
0.4057211.7167114.068402e-08
0.4077751.7162473.917821e-08
0.4098391.7157873.766478e-08
0.4119141.7153343.614369e-08
0.4141.7148853.461490e-08
0.4160961.7144423.307837e-08
0.4182021.7140053.153406e-08
0.421.7136373.021600e-08
0.4203191.7135723.018260e-08
0.4224471.7131452.996002e-08
0.4245861.7127222.973631e-08
0.4267351.7123052.951147e-08
0.4288961.7118922.928549e-08
0.4310671.7114842.905837e-08
0.433251.7110812.883010e-08
0.4354431.7106832.860067e-08
0.4376471.7102892.837008e-08
0.4398631.70992.813832e-08
0.441.7098762.812400e-08
0.442091.7095152.748718e-08
0.4443281.7091352.680522e-08
0.4465781.7087592.611980e-08
0.4488381.7083872.543091e-08
0.4511111.708022.473854e-08
0.4533951.7076572.404266e-08
0.455691.7072982.334326e-08
0.4579971.7069432.264031e-08
0.461.7066392.203000e-08
0.4603161.7065922.192393e-08
0.4626461.7062452.114091e-08
0.4649881.7059022.035393e-08
0.4673421.7055631.956296e-08
0.4697081.7052271.876798e-08
0.4720861.7048961.796898e-08
0.4744761.7045681.716594e-08
0.4768781.7042431.635883e-08
0.4792931.7039231.554764e-08
0.481.703831.531000e-08
0.4817191.7036061.502160e-08
0.4841581.7032921.461249e-08
0.4866091.7029821.420132e-08
0.4890731.7026751.378806e-08
0.4915491.7023721.337271e-08
0.4940371.7020721.295526e-08
0.4965381.7017751.253569e-08
0.4990521.7014811.211400e-08
0.51.7013721.195500e-08
0.5015791.7011911.185419e-08
0.5041181.7009041.169205e-08
0.506671.700621.152908e-08
0.5092351.7003391.136529e-08
0.5118131.7000611.120067e-08
0.5144051.6997861.103521e-08
0.5170091.6995131.086892e-08
0.5196261.6992441.070179e-08
0.5222571.6989781.053381e-08
0.5249011.6987151.036498e-08
0.5275581.6984541.019529e-08
0.5302291.6981961.002475e-08
0.5329131.6979419.853342e-09
0.5356111.6976889.681067e-09
0.5383231.6974389.507919e-09
0.5410481.6971919.333895e-09
0.5437881.6969469.158990e-09
0.5465411.6967048.983199e-09
0.5493081.6964658.806519e-09
0.551.6964058.762300e-09
0.5520881.6962288.995484e-09
0.5548831.6959939.307561e-09
0.5576931.6957619.621218e-09
0.5605161.6955319.936462e-09
0.5633541.6953031.025330e-08
0.5662061.6950781.057175e-08
0.5690721.6948551.089180e-08
0.5719531.6946341.121348e-08
0.5748491.6944161.153679e-08
0.5777591.69421.186173e-08
0.5806841.6939861.218832e-08
0.5836241.6937741.251656e-08
0.5865791.6935641.284646e-08
0.5895481.6933561.317803e-08
0.5925331.6931511.351128e-08
0.5955331.6929471.384622e-08
0.5985481.6927461.418286e-08
0.61.692651.434500e-08
0.6015781.6925461.438275e-08
0.6046241.6923481.445560e-08
0.6076851.6921531.452882e-08
0.6107611.6919591.460241e-08
0.6138531.6917671.467637e-08
0.6169611.6915771.475071e-08
0.6200841.6913891.482542e-08
0.6232241.6912021.490051e-08
0.6263791.6910181.497598e-08
0.629551.6908351.505184e-08
0.6327371.6906541.512807e-08
0.635941.6904741.520470e-08
0.639161.6902961.528171e-08
0.6423961.690121.535911e-08
0.6456481.6899461.543690e-08
0.6489171.6897731.551509e-08
0.651.6897161.554100e-08
0.6522021.6896021.534770e-08
0.6555041.6894321.505787e-08
0.6588231.6892641.476656e-08
0.6621581.6890981.447378e-08
0.665511.6889331.417952e-08
0.6688791.6887691.388376e-08
0.6722661.6886071.358651e-08
0.6756691.6884461.328776e-08
0.679091.6882871.298749e-08
0.6825281.688131.268571e-08
0.6859831.6879731.238239e-08
0.6894561.6878181.207754e-08
0.6929471.6876651.177114e-08
0.6964551.6875121.146320e-08
0.6999811.6873621.115370e-08
0.71.6873611.115200e-08
0.7035241.6872121.098344e-08
0.7070861.6870641.081310e-08
0.7106661.6869161.064189e-08
0.7142641.6867711.046982e-08
0.717881.6866261.029688e-08
0.7215141.6864831.012306e-08
0.7251671.6863419.948365e-09
0.7288381.68629.772783e-09
0.7325281.686069.596312e-09
0.7362371.6859219.418947e-09
0.7399641.6857839.240685e-09
0.743711.6856479.061520e-09
0.7474751.6855128.881448e-09
0.7512591.6853778.700464e-09
0.7550631.6852448.518565e-09
0.7588851.6851128.335744e-09
0.7627271.6849818.151998e-09
0.7665891.6848517.967321e-09
0.770471.6847227.781710e-09
0.774371.6845947.595158e-09
0.7782911.6844677.407663e-09
0.7822311.684347.219218e-09
0.7861911.6842157.029819e-09
0.7901711.6840916.839461e-09
0.7941721.6839676.648140e-09
0.7981921.6838456.455850e-09
0.81.683796.369400e-09
0.8022331.6837236.547369e-09
0.8062951.6836036.871008e-09
0.8103771.6834837.196286e-09
0.8144791.6833647.523210e-09
0.8186031.6832467.851790e-09
0.8227471.6831288.182033e-09
0.8269121.6830128.513948e-09
0.8310991.6828968.847543e-09
0.8353061.6827819.182827e-09
0.8395351.6826679.519809e-09
0.8437861.6825539.858496e-09
0.8480571.682441.019890e-08
0.8523511.6823281.054102e-08
0.8566661.6822171.088488e-08
0.8610031.6821061.123048e-08
0.8653621.6819971.157783e-08
0.8697431.6818871.192693e-08
0.8741461.6817791.227781e-08
0.8785721.6816711.263046e-08
0.883021.6815631.298490e-08
0.887491.6814571.334113e-08
0.8919831.6813511.369916e-08
0.8964991.6812451.405900e-08
0.91.6811641.433800e-08
0.9010371.681141.435453e-08
0.9055991.6810361.442719e-08
0.9101841.6809321.450023e-08
0.9147921.6808291.457363e-08
0.9194231.6807271.464741e-08
0.9240781.6806241.472156e-08
0.9287561.6805231.479608e-08
0.9334581.6804221.487099e-08
0.9381841.6803211.494627e-08
0.9429341.6802211.502193e-08
0.9477071.6801211.509798e-08
0.9525051.6800221.517441e-08
0.9573271.6799241.525123e-08
0.9621741.6798251.532843e-08
0.9670451.6797271.540603e-08
0.9719411.679631.548402e-08
0.9768621.6795331.556241e-08
0.9818071.6794361.564119e-08
0.9867781.679341.572037e-08
0.9917731.6792441.579995e-08
0.9967941.6791491.587993e-08
11.6790881.593100e-08
1.001841.6790541.587231e-08
1.006911.6789591.571059e-08
1.012011.6788651.554805e-08
1.017131.678771.538469e-08
1.022281.6786771.522051e-08
1.027461.6785831.505549e-08
1.032661.678491.488964e-08
1.037891.6783971.472295e-08
1.043141.6783041.455541e-08
1.048421.6782121.438703e-08
1.053731.678121.421779e-08
1.059071.6780281.404770e-08
1.064431.6779361.387674e-08
1.069821.6778451.370492e-08
1.075231.6777541.353223e-08
1.080681.6776631.335867e-08
1.086151.6775721.318422e-08
1.091651.6774811.300890e-08
1.097171.6773911.283268e-08
1.102731.67731.265558e-08
1.108311.677211.247757e-08
1.113921.677121.229867e-08
1.119561.677031.211886e-08
1.125231.6769411.193814e-08
1.130931.6768511.175651e-08
1.136651.6767611.157395e-08
1.142411.6766721.139047e-08
1.148191.6765831.120607e-08
1.1541.6764931.102073e-08
1.159841.6764041.083445e-08
1.165721.6763151.064723e-08
1.171621.6762261.045905e-08
1.177551.6761371.026993e-08
1.183511.6760481.007985e-08
1.18951.6759599.888809e-09
1.195521.675879.696800e-09
1.21.6758049.554100e-09
1.201581.6757819.742702e-09
1.207661.6756911.047022e-08
1.213771.6756021.120141e-08
1.219921.6755131.193631e-08
1.22611.6754241.267493e-08
1.23231.6753351.341729e-08
1.238541.6752461.416340e-08
1.244811.6751561.491330e-08
1.251111.6750671.566699e-08
1.257451.6749771.642450e-08
1.263811.6748881.718584e-08
1.270211.6747981.795103e-08
1.276641.6747081.872010e-08
1.283111.6746181.949306e-08
1.28961.6745282.026994e-08
1.296131.6744382.105075e-08
1.302691.6743482.183551e-08
1.309291.6742572.262425e-08
1.315921.6741662.341698e-08
1.322581.6740752.421372e-08
1.329271.6739842.501449e-08
1.3361.6738932.581932e-08
1.342771.6738012.662823e-08
1.349561.6737092.744123e-08
1.35641.6736172.825834e-08
1.363261.6735252.907959e-08
1.370171.6734332.990500e-08
1.37711.673343.073459e-08
1.384071.6732473.156838e-08
1.391081.6731533.240639e-08
1.398121.673063.324864e-08
1.41.6730353.347300e-08
1.40521.6729663.392973e-08
1.412321.6728713.455431e-08
1.419471.6727773.518205e-08
1.426651.6726823.581297e-08
1.433881.6725863.644708e-08
1.441131.6724913.708440e-08
1.448431.6723953.772495e-08
1.455761.6722983.836874e-08
1.463131.6722013.901579e-08
1.470541.6721043.966612e-08
1.477991.6720074.031974e-08
1.485471.6719084.097667e-08
1.492991.671814.163692e-08
1.500551.6717114.230052e-08
1.508141.6716124.296748e-08
1.515781.6715124.363781e-08
1.523451.6714114.431154e-08
1.531171.671314.498868e-08
1.538921.6712094.566924e-08
1.546711.6711074.635325e-08
1.554541.6710054.704073e-08
1.562411.6709024.773168e-08
1.570321.6707984.842614e-08
1.578271.6706944.912410e-08
1.586261.670594.982561e-08
1.594291.6704855.053066e-08
1.61.670415.103200e-08
1.602361.6703795.229994e-08
1.610471.6702725.665652e-08
1.618631.6701656.103515e-08
1.626821.6700586.543595e-08
1.635061.669956.985903e-08
1.643331.6698417.430450e-08
1.651651.6697317.877248e-08
1.660021.6696218.326307e-08
1.668421.669518.777641e-08
1.676871.6693989.231259e-08
1.685361.6692869.687173e-08
1.693891.6691721.014540e-07
1.702461.6690591.060594e-07
1.711081.6689441.106881e-07
1.719751.6688291.153403e-07
1.728451.6687121.200160e-07
1.73721.6685951.247154e-07
1.7461.6684781.294386e-07
1.754841.6683591.341857e-07
1.763721.668241.389569e-07
1.772651.6681191.437521e-07
1.781621.6679981.485717e-07
1.790641.6678761.534157e-07
1.799711.6677531.582842e-07
1.81.6677491.584400e-07
1.808821.667631.677856e-07
1.817981.6675051.774874e-07
1.827181.6673791.872384e-07
1.836431.6672531.970387e-07
1.845731.6671252.068886e-07
1.855071.6669962.167885e-07
1.864471.6668672.267384e-07
1.873911.6667362.367387e-07
1.883391.6666052.467896e-07
1.892931.6664722.568914e-07
1.902511.6663382.670444e-07
1.912141.6662042.772488e-07
1.921821.6660682.875048e-07
1.931551.6659312.978127e-07
1.941331.6657933.081728e-07
1.951161.6656543.185854e-07
1.961041.6655133.290507e-07
1.970971.6653723.395690e-07
1.980941.6652293.501405e-07
1.990971.6650853.607656e-07
21.6649553.703300e-07
2.001051.664943.738836e-07
2.011181.6647944.081084e-07
2.021361.6646464.425065e-07
2.03161.6644984.770787e-07
2.041881.6643475.118260e-07
2.052221.6641965.467492e-07
2.062611.6640435.818492e-07
2.073051.6638896.171269e-07
2.083551.6637346.525831e-07
2.09411.6635776.882189e-07
2.10471.6634197.240351e-07
2.115351.6632597.600327e-07
2.126061.6630987.962124e-07
2.136831.6629358.325754e-07
2.147641.6627718.691224e-07
2.158521.6626069.058544e-07
2.169441.6624399.427724e-07
2.180431.662279.798774e-07
2.191471.66211.017170e-06
2.21.6619681.046000e-06
2.202561.6619281.075244e-06
2.213711.6617551.202581e-06
2.224921.661581.330562e-06
2.236181.6614041.459192e-06
2.24751.6612251.588472e-06
2.258881.6610451.718407e-06
2.270321.6608641.849000e-06
2.281811.660681.980253e-06
2.293361.6604952.112172e-06
2.304971.6603082.244758e-06
2.316641.660122.378015e-06
2.328371.6599292.511948e-06
2.340161.6597372.646558e-06
2.352011.6595422.781849e-06
2.363911.6593462.917826e-06
2.375881.6591483.054491e-06
2.387911.6589483.191848e-06
2.41.6587463.329900e-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
—