Optical constants

Refractive index of S-LAH58 (OHARA)

S-LAH58: 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
1.88299
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.54566
Permittivity ε2
8.82690e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
40.765
Chromatic dispersion dn/dλ
-0.110618 µm⁻¹
Group index ng
1.94799
Group velocity dispersion
208.491 fs²/mm
Dispersion parameter D
-1137.43 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-LAH58 (OHARA): S-LAH58
ohara_s_lah58 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH58", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah58.range_nm)  # (320, 2400) nm
eps = ohara_s_lah58.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=1.78764964λ2λ2−0.00847378536+0.6526356λ2λ2−0.0313126408+1.79914564λ2λ2−132.788001

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.78764964
C30.00847378536
C40.6526356
C50.0313126408
C61.79914564
C7132.788001

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.37e-06 1.28e-08 -3.08e-11 6.33e-07 5.04e-10 0.248
nd
1.882997
Vd
40.765107
glass code
883408
density
value: 5520
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0088
resistance
acid: 2.2; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.85e-06 K⁻¹ at 633 nm, dn/dT = 1.81e-06 K⁻¹ at 1310 nm, dn/dT = 1.73e-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 426 wavelengths, the same grid as the API and the library
S-LAH58 (OHARA), S-LAH58: n and k versus wavelength
λ (µm)nk
0.321.9717127.628600e-06
0.321621.9702097.146587e-06
0.3232481.9687316.662133e-06
0.3248851.9672766.175227e-06
0.326531.9658435.685856e-06
0.3281831.9644335.194007e-06
0.3298441.9630444.699668e-06
0.331.9629164.653300e-06
0.3315141.9616774.390704e-06
0.3331921.9603314.099613e-06
0.3348791.9590053.807048e-06
0.3365751.95773.513001e-06
0.3382791.9564143.217466e-06
0.3399911.9551472.920435e-06
0.341.9551412.918900e-06
0.3417121.95392.740210e-06
0.3434421.952672.559688e-06
0.3451811.9514592.378251e-06
0.3469291.9502662.195896e-06
0.3486851.949092.012618e-06
0.351.9482251.875400e-06
0.350451.9479311.844555e-06
0.3522251.9467891.723022e-06
0.3540081.9456641.600873e-06
0.35581.9445541.478106e-06
0.3576011.9434611.354718e-06
0.3594121.9423831.230704e-06
0.361.9420371.190400e-06
0.3612311.941321.138585e-06
0.363061.9402721.061621e-06
0.3648981.9392399.842666e-07
0.3667451.938229.065207e-07
0.3686021.9372168.283813e-07
0.371.9364727.695500e-07
0.3704681.9362257.582048e-07
0.3723441.9352487.127565e-07
0.3742291.9342856.670780e-07
0.3761231.9333356.211683e-07
0.3780281.9323975.750261e-07
0.3799411.9314735.286503e-07
0.381.9314455.272300e-07
0.3818651.9305614.963548e-07
0.3837981.9296614.643479e-07
0.3857411.9287734.321789e-07
0.3876941.9278973.998472e-07
0.3896571.9270333.673517e-07
0.391.9268833.616700e-07
0.391631.926183.437339e-07
0.3936121.9253383.219105e-07
0.3956051.9245082.999766e-07
0.3976081.9236892.779316e-07
0.3996211.922882.557751e-07
0.41.9227292.516000e-07
0.4016441.9220822.447222e-07
0.4036771.9212942.362145e-07
0.4057211.9205162.276638e-07
0.4077751.9197482.190698e-07
0.4098391.918992.104322e-07
0.4119141.9182422.017509e-07
0.4141.9175041.930257e-07
0.4160961.9167751.842563e-07
0.4182021.9160551.754425e-07
0.421.915451.679200e-07
0.4203191.9153441.672308e-07
0.4224471.9146421.626377e-07
0.4245861.9139491.580213e-07
0.4267351.9132651.533815e-07
0.4288961.9125891.487183e-07
0.4310671.9119221.440314e-07
0.433251.9112631.393208e-07
0.4354431.9106121.345864e-07
0.4376471.9099691.298280e-07
0.4398631.9093341.250455e-07
0.441.9092951.247500e-07
0.442091.9087071.217910e-07
0.4443281.9080871.186222e-07
0.4465781.9074751.154374e-07
0.4488381.9068711.122365e-07
0.4511111.9062731.090193e-07
0.4533951.9056831.057859e-07
0.455691.9051011.025361e-07
0.4579971.9045259.926985e-08
0.461.9040329.643400e-08
0.4603161.9039569.600699e-08
0.4626461.9033939.285475e-08
0.4649881.9028388.968655e-08
0.4673421.9022898.650231e-08
0.4697081.9017478.330195e-08
0.4720861.9012118.008539e-08
0.4744761.9006817.685254e-08
0.4768781.9001577.360333e-08
0.4792931.899647.033766e-08
0.481.899496.938100e-08
0.4817191.8991296.754605e-08
0.4841581.8986236.494315e-08
0.4866091.8981246.232706e-08
0.4890731.897635.969773e-08
0.4915491.8971425.705509e-08
0.4940371.896665.439907e-08
0.4965381.8961835.172960e-08
0.4990521.8957124.904662e-08
0.51.8955364.803500e-08
0.5015791.8952464.721105e-08
0.5041181.8947854.588573e-08
0.506671.894334.455369e-08
0.5092351.893884.321492e-08
0.5118131.8934354.186937e-08
0.5144051.8929944.051700e-08
0.5170091.8925593.915779e-08
0.5196261.8921293.779170e-08
0.5222571.8917043.641869e-08
0.5249011.8912833.503873e-08
0.5275581.8908673.365178e-08
0.5302291.8904553.225782e-08
0.5329131.8900493.085679e-08
0.5356111.8896462.944867e-08
0.5383231.8892482.803343e-08
0.5410481.8888552.661102e-08
0.5437881.8884652.518140e-08
0.5465411.888082.374455e-08
0.5493081.88772.230043e-08
0.551.8876052.193900e-08
0.5520881.8873232.202229e-08
0.5548831.886952.213375e-08
0.5576931.8865822.224578e-08
0.5605161.8862172.235838e-08
0.5633541.8858572.247155e-08
0.5662061.88552.258529e-08
0.5690721.8851472.269961e-08
0.5719531.8847982.281450e-08
0.5748491.8844522.292998e-08
0.5777591.884112.304604e-08
0.5806841.8837722.316269e-08
0.5836241.8834372.327993e-08
0.5865791.8831062.339776e-08
0.5895481.8827782.351619e-08
0.5925331.8824542.363522e-08
0.5955331.8821332.375485e-08
0.5985481.8818162.387509e-08
0.61.8816642.393300e-08
0.6015781.8815012.399596e-08
0.6046241.881192.411748e-08
0.6076851.8808822.423962e-08
0.6107611.8805782.436237e-08
0.6138531.8802762.448574e-08
0.6169611.8799782.460974e-08
0.6200841.8796822.473437e-08
0.6232241.879392.485962e-08
0.6263791.87912.498552e-08
0.629551.8788142.511204e-08
0.6327371.878532.523921e-08
0.635941.8782492.536703e-08
0.639161.8779712.549549e-08
0.6423961.8776952.562460e-08
0.6456481.8774232.575436e-08
0.6489171.8771532.588478e-08
0.651.8770642.592800e-08
0.6522021.8768862.601582e-08
0.6555041.8766212.614750e-08
0.6588231.8763592.627984e-08
0.6621581.8760992.641286e-08
0.665511.8758422.654655e-08
0.6688791.8755882.668091e-08
0.6722661.8753362.681596e-08
0.6756691.8750862.695169e-08
0.679091.8748382.708810e-08
0.6825281.8745932.722521e-08
0.6859831.8743512.736301e-08
0.6894561.874112.750151e-08
0.6929471.8738722.764071e-08
0.6964551.8736362.778062e-08
0.6999811.8734032.792123e-08
0.71.8734012.792200e-08
0.7035241.8731712.806259e-08
0.7070861.8729422.820467e-08
0.7106661.8727142.834746e-08
0.7142641.8724892.849098e-08
0.717881.8722662.863523e-08
0.7215141.8720452.878020e-08
0.7251671.8718262.892591e-08
0.7288381.8716082.907236e-08
0.7325281.8713932.921955e-08
0.7362371.871182.936748e-08
0.7399641.8709682.951616e-08
0.743711.8707592.966560e-08
0.7474751.8705512.981579e-08
0.7512591.8703452.996674e-08
0.7550631.8701413.011846e-08
0.7588851.8699383.027094e-08
0.7627271.8697373.042420e-08
0.7665891.8695383.057823e-08
0.770471.8693413.073304e-08
0.774371.8691453.088864e-08
0.7782911.8689513.104502e-08
0.7822311.8687593.120220e-08
0.7861911.8685683.136017e-08
0.7901711.8683793.151894e-08
0.7941721.8681913.167851e-08
0.7981921.8680053.183890e-08
0.81.8679223.191100e-08
0.8022331.867823.200009e-08
0.8062951.8676373.216210e-08
0.8103771.8674553.232493e-08
0.8144791.8672753.248859e-08
0.8186031.8670963.265307e-08
0.8227471.8669183.281839e-08
0.8269121.8667423.298454e-08
0.8310991.8665673.315153e-08
0.8353061.8663933.331937e-08
0.8395351.8662213.348806e-08
0.8437861.866053.365761e-08
0.8480571.865883.382801e-08
0.8523511.8657123.399927e-08
0.8566661.8655453.417140e-08
0.8610031.8653793.434441e-08
0.8653621.8652143.451829e-08
0.8697431.865053.469305e-08
0.8741461.8648873.486869e-08
0.8785721.8647263.504522e-08
0.883021.8645663.522265e-08
0.887491.8644063.540097e-08
0.8919831.8642483.558020e-08
0.8964991.8640913.576034e-08
0.91.8639713.590000e-08
0.9010371.8639353.594139e-08
0.9055991.863783.612335e-08
0.9101841.8636263.630623e-08
0.9147921.8634733.649005e-08
0.9194231.8633213.667479e-08
0.9240781.863173.686046e-08
0.9287561.8630193.704708e-08
0.9334581.862873.723464e-08
0.9381841.8627213.742315e-08
0.9429341.8625743.761262e-08
0.9477071.8624273.780304e-08
0.9525051.8622813.799443e-08
0.9573271.8621363.818679e-08
0.9621741.8619923.838012e-08
0.9670451.8618493.857443e-08
0.9719411.8617063.876973e-08
0.9768621.8615643.896601e-08
0.9818071.8614233.916329e-08
0.9867781.8612823.936156e-08
0.9917731.8611433.956084e-08
0.9967941.8610043.976113e-08
11.8609163.988900e-08
1.001841.8608653.987414e-08
1.006911.8607283.983318e-08
1.012011.8605913.979202e-08
1.017131.8604543.975064e-08
1.022281.8603193.970906e-08
1.027461.8601833.966727e-08
1.032661.8600493.962527e-08
1.037891.8599153.958305e-08
1.043141.8597813.954062e-08
1.048421.8596493.949798e-08
1.053731.8595163.945512e-08
1.059071.8593843.941204e-08
1.064431.8592533.936874e-08
1.069821.8591223.932523e-08
1.075231.8589923.928149e-08
1.080681.8588623.923754e-08
1.086151.8587323.919336e-08
1.091651.8586033.914895e-08
1.097171.8584753.910433e-08
1.102731.8583473.905947e-08
1.108311.8582193.901439e-08
1.113921.8580913.896908e-08
1.119561.8579643.892355e-08
1.125231.8578373.887778e-08
1.130931.8577113.883178e-08
1.136651.8575853.878554e-08
1.142411.8574593.873908e-08
1.148191.8573333.869237e-08
1.1541.8572083.864543e-08
1.159841.8570833.859826e-08
1.165721.8569583.855084e-08
1.171621.8568343.850319e-08
1.177551.8567093.845529e-08
1.183511.8565853.840715e-08
1.18951.8564613.835877e-08
1.195521.8563383.831014e-08
1.21.8562463.827400e-08
1.201581.8562143.832430e-08
1.207661.8560913.851832e-08
1.213771.8559673.871333e-08
1.219921.8558443.890932e-08
1.22611.8557213.910630e-08
1.23231.8555983.930428e-08
1.238541.8554753.950327e-08
1.244811.8553523.970326e-08
1.251111.855233.990426e-08
1.257451.8551074.010629e-08
1.263811.8549844.030933e-08
1.270211.8548614.051340e-08
1.276641.8547394.071851e-08
1.283111.8546164.092465e-08
1.28961.8544934.113184e-08
1.296131.8543714.134007e-08
1.302691.8542484.154937e-08
1.309291.8541254.175972e-08
1.315921.8540024.197113e-08
1.322581.8538794.218362e-08
1.329271.8537564.239718e-08
1.3361.8536324.261182e-08
1.342771.8535094.282755e-08
1.349561.8533854.304437e-08
1.35641.8532624.326229e-08
1.363261.8531384.348131e-08
1.370171.8530144.370144e-08
1.37711.8528894.392269e-08
1.384071.8527654.414505e-08
1.391081.852644.436854e-08
1.398121.8525154.459316e-08
1.41.8524824.465300e-08
1.40521.852394.481892e-08
1.412321.8522644.504583e-08
1.419471.8521394.527388e-08
1.426651.8520124.550308e-08
1.433881.8518864.573345e-08
1.441131.8517594.596498e-08
1.448431.8516324.619769e-08
1.455761.8515054.643157e-08
1.463131.8513774.666664e-08
1.470541.8512494.690290e-08
1.477991.851124.714035e-08
1.485471.8509914.737900e-08
1.492991.8508624.761887e-08
1.500551.8507324.785995e-08
1.508141.8506024.810224e-08
1.515781.8504714.834577e-08
1.523451.8503394.859053e-08
1.531171.8502084.883652e-08
1.538921.8500754.908377e-08
1.546711.8499434.933226e-08
1.554541.8498094.958201e-08
1.562411.8496754.983303e-08
1.570321.8495415.008532e-08
1.578271.8494065.033888e-08
1.586261.849275.059373e-08
1.594291.8491345.084987e-08
1.61.8490375.103200e-08
1.602361.8489975.178773e-08
1.610471.8488595.438436e-08
1.618631.8487215.699414e-08
1.626821.8485825.961713e-08
1.635061.8484426.225341e-08
1.643331.8483026.490302e-08
1.651651.848166.756606e-08
1.660021.8480197.024257e-08
1.668421.8478767.293263e-08
1.676871.8477337.563632e-08
1.685361.8475887.835369e-08
1.693891.8474438.108482e-08
1.702461.8472988.382977e-08
1.711081.8471518.658862e-08
1.719751.8470038.936144e-08
1.728451.8468559.214830e-08
1.73721.8467069.494927e-08
1.7461.8465559.776441e-08
1.754841.8464041.005938e-07
1.763721.8462521.034375e-07
1.772651.8460991.062957e-07
1.781621.8459451.091682e-07
1.790641.845791.120554e-07
1.799711.8456341.149571e-07
1.81.8456291.150500e-07
1.808821.8454761.241574e-07
1.817981.8453181.336120e-07
1.827181.8451591.431144e-07
1.836431.8449991.526650e-07
1.845731.8448371.622639e-07
1.855071.8446751.719114e-07
1.864471.8445111.816078e-07
1.873911.8443461.913533e-07
1.883391.844182.011480e-07
1.892931.8440122.109924e-07
1.902511.8438442.208866e-07
1.912141.8436742.308309e-07
1.921821.8435032.408256e-07
1.931551.843332.508708e-07
1.941331.8431572.609669e-07
1.951161.8429822.711141e-07
1.961041.8428052.813127e-07
1.970971.8426282.915629e-07
1.980941.8424483.018650e-07
1.990971.8422683.122193e-07
21.8421053.215400e-07
2.001051.8420863.239921e-07
2.011181.8419023.476081e-07
2.021361.8417173.713437e-07
2.03161.8415313.951994e-07
2.041881.8413434.191760e-07
2.052221.8411534.432739e-07
2.062611.8409624.674938e-07
2.073051.8407694.918363e-07
2.083551.8405755.163021e-07
2.09411.8403795.408917e-07
2.10471.8401815.656058e-07
2.115351.8399825.904450e-07
2.126061.8397816.154100e-07
2.136831.8395786.405014e-07
2.147641.8393736.657198e-07
2.158521.8391676.910659e-07
2.169441.8389597.165403e-07
2.180431.8387497.421436e-07
2.191471.8385377.678766e-07
2.21.8383727.877700e-07
2.202561.8383238.203210e-07
2.213711.8381079.620550e-07
2.224921.8378891.104506e-06
2.236181.8376691.247679e-06
2.24751.8374481.391577e-06
2.258881.8372241.536203e-06
2.270321.8369981.681561e-06
2.281811.836771.827655e-06
2.293361.836541.974489e-06
2.304971.8363082.122066e-06
2.316641.8360732.270390e-06
2.328371.8358362.419465e-06
2.340161.8355972.569295e-06
2.352011.8353562.719884e-06
2.363911.8351132.871235e-06
2.375881.8348673.023352e-06
2.387911.8346183.176239e-06
2.41.8343683.329900e-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
—