Optical constants

Refractive index of S-TIL27 (OHARA)

S-TIL27: n,k 0.35–2.4 µm

Data
formula 2 + tabulated k
Range
0.35–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.35–2.4 µm
Refractive index n
1.575
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.48064
Permittivity ε2
2.94883e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
41.505
Chromatic dispersion dn/dλ
-0.0705089 µm⁻¹
Group index ng
1.61643
Group velocity dispersion
133.513 fs²/mm
Dispersion parameter D
-728.385 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-TIL27 (OHARA): S-TIL27
ohara_s_til27 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-TIL27", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_til27.range_nm)  # (350, 2400) nm
eps = ohara_s_til27.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=1.31433154λ2λ2−0.00950404477+0.112300168λ2λ2−0.0524112772+1.413901λ2λ2−148.429972

Valid from 0.35 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.31433154
C30.00950404477
C40.112300168
C50.0524112772
C61.413901
C7148.429972

Comments and conditions

Recommended - Lightweight

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.72e-06 1.09e-08 -4.25e-11 5.94e-07 5.57e-10 0.276
nd
1.575006
Vd
41.505207
glass code
575415
density
value: 2580
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
0.0024
resistance
acid: 1.0; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.66e-06 K⁻¹ at 633 nm, dn/dT = 9.51e-07 K⁻¹ at 1310 nm, dn/dT = 8.98e-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 423 wavelengths, the same grid as the API and the library
S-TIL27 (OHARA), S-TIL27: n and k versus wavelength
λ (µm)nk
0.351.6186388.343700e-06
0.3516931.6178467.329329e-06
0.3533941.6170696.310051e-06
0.3551031.6163055.285842e-06
0.3568211.6155544.256680e-06
0.3585471.6148153.222540e-06
0.361.6142062.351900e-06
0.3602811.6140892.306333e-06
0.3620241.6133752.023962e-06
0.3637751.6126731.740226e-06
0.3655351.6119821.455117e-06
0.3673031.6113021.168629e-06
0.3690791.6106348.807553e-07
0.371.6102937.315600e-07
0.3708641.6099766.921133e-07
0.3726581.6093286.102562e-07
0.3744611.608695.280031e-07
0.3762721.6080634.453522e-07
0.3780921.6074453.623016e-07
0.3799211.6068362.788492e-07
0.381.606812.752400e-07
0.3817591.6062372.485485e-07
0.3836051.6056472.205216e-07
0.3854611.6050661.923591e-07
0.3873251.6044931.640605e-07
0.3891991.6039291.356249e-07
0.391.6036911.234600e-07
0.3910811.6033731.174166e-07
0.3929731.6028251.068418e-07
0.3948731.6022859.621578e-08
0.3967831.6017538.553839e-08
0.3987031.6012287.480937e-08
0.41.6008796.755700e-08
0.4006311.6007116.648505e-08
0.4025691.6002016.319402e-08
0.4045161.5996995.988708e-08
0.4064731.5992035.656415e-08
0.4084391.5987145.322514e-08
0.4104151.5982324.986998e-08
0.41241.5977574.649859e-08
0.4143941.5972884.311089e-08
0.4163991.5968263.970681e-08
0.4184131.5963693.628626e-08
0.421.5960163.359100e-08
0.4204371.5959193.339455e-08
0.422471.5954753.247992e-08
0.4245141.5950373.156087e-08
0.4265671.5946043.063737e-08
0.4286311.5941772.970941e-08
0.4307041.5937562.877696e-08
0.4327871.593342.784000e-08
0.434881.592932.689851e-08
0.4369841.5925252.595246e-08
0.4390981.5921252.500184e-08
0.441.5919572.459600e-08
0.4412221.591732.443928e-08
0.4433561.5913412.416546e-08
0.44551.5909562.389033e-08
0.4476551.5905762.361386e-08
0.449821.59022.333605e-08
0.4519961.589832.305690e-08
0.4541821.5894642.277640e-08
0.4563791.5891032.249454e-08
0.4585871.5887462.221132e-08
0.461.588522.203000e-08
0.4608051.5883932.191394e-08
0.4630341.5880452.159253e-08
0.4652731.5877012.126957e-08
0.4675241.5873612.094505e-08
0.4697851.5870252.061895e-08
0.4720581.5866932.029128e-08
0.4743411.5863651.996203e-08
0.4766351.5860411.963118e-08
0.4789411.5857211.929873e-08
0.481.5855761.914600e-08
0.4812571.5854051.894487e-08
0.4835851.5850921.857254e-08
0.4859241.5847831.819840e-08
0.4882751.5844781.782246e-08
0.4906361.5841761.744470e-08
0.493011.5838781.706510e-08
0.4953941.5835831.668368e-08
0.4977911.5832921.630041e-08
0.51.5830271.594700e-08
0.5001981.5830041.591850e-08
0.5026181.5827191.557085e-08
0.5050491.5824371.522151e-08
0.5074921.5821591.487048e-08
0.5099461.5818831.451775e-08
0.5124131.5816111.416332e-08
0.5148921.5813421.380717e-08
0.5173821.5810761.344930e-08
0.5198851.5808131.308969e-08
0.5223991.5805521.272835e-08
0.5249261.5802951.236526e-08
0.5274651.580041.200042e-08
0.5300161.5797891.163381e-08
0.532581.579541.126543e-08
0.5351561.5792931.089526e-08
0.5377451.579051.052331e-08
0.5403461.5788081.014955e-08
0.5429591.578579.773989e-09
0.5455861.5783349.396611e-09
0.5482251.5781019.017406e-09
0.551.5779468.762300e-09
0.5508761.577878.776263e-09
0.5535411.5776418.818714e-09
0.5562181.5774158.861372e-09
0.5589091.5771928.904235e-09
0.5616121.576978.947306e-09
0.5643291.5767518.990585e-09
0.5670581.5765349.034073e-09
0.5698011.576329.077772e-09
0.5725571.5761089.121682e-09
0.5753271.5758979.165805e-09
0.578111.575699.210141e-09
0.5809061.5754849.254692e-09
0.5837161.575289.299457e-09
0.5865391.5750789.344440e-09
0.5893761.5748799.389640e-09
0.5922271.5746819.435059e-09
0.5950911.5744859.480697e-09
0.597971.5742919.526556e-09
0.61.5741579.558900e-09
0.6008621.57419.572628e-09
0.6037691.573919.618903e-09
0.6066891.5737229.665402e-09
0.6096231.5735359.712125e-09
0.6125721.5733519.759075e-09
0.6155351.5731699.806251e-09
0.6185131.5729889.853656e-09
0.6215041.5728099.901290e-09
0.624511.5726319.949155e-09
0.6275311.5724569.997251e-09
0.6305661.5722821.004558e-08
0.6336161.5721091.009414e-08
0.6366811.5719391.014294e-08
0.6397611.571771.019197e-08
0.6428551.5716021.024124e-08
0.6459651.5714361.029075e-08
0.6490891.5712721.034050e-08
0.651.5712241.035500e-08
0.6522291.5711091.039053e-08
0.6553841.5709471.044082e-08
0.6585541.5707871.049135e-08
0.6617391.5706291.054212e-08
0.664941.5704721.059314e-08
0.6681561.5703161.064441e-08
0.6713881.5701621.069593e-08
0.6746361.5700091.074769e-08
0.6778991.5698581.079971e-08
0.6811781.5697081.085197e-08
0.6844731.5695591.090449e-08
0.6877831.5694111.095727e-08
0.691111.5692651.101029e-08
0.6944531.569121.106358e-08
0.6978121.5689761.111712e-08
0.71.5688841.115200e-08
0.7011871.5688341.109522e-08
0.7045791.5686931.093301e-08
0.7079871.5685521.077002e-08
0.7114111.5684141.060624e-08
0.7148521.5682761.044167e-08
0.718311.5681391.027630e-08
0.7217851.5680041.011013e-08
0.7252761.5678699.943159e-09
0.7287841.5677369.775380e-09
0.7323091.5676049.606789e-09
0.7358511.5674739.437382e-09
0.739411.5673439.267156e-09
0.7429871.5672149.096107e-09
0.7465811.5670868.924230e-09
0.7501921.5669598.751522e-09
0.7538211.5668338.577979e-09
0.7574671.5667088.403596e-09
0.7611311.5665848.228370e-09
0.7648121.566468.052296e-09
0.7685111.5663387.875370e-09
0.7722291.5662177.697589e-09
0.7759641.5660977.518948e-09
0.7797171.5659777.339443e-09
0.7834891.5658587.159069e-09
0.7872781.5657416.977823e-09
0.7910861.5656246.795700e-09
0.7949131.5655086.612697e-09
0.7987581.5653926.428808e-09
0.81.5653566.369400e-09
0.8026211.5652786.390271e-09
0.8065041.5651646.421182e-09
0.8104051.5650526.452242e-09
0.8143251.5649396.483452e-09
0.8182631.5648286.514813e-09
0.8222211.5647186.546326e-09
0.8261981.5646086.577991e-09
0.8301951.5644996.609809e-09
0.834211.564396.641782e-09
0.8382451.5642826.673909e-09
0.84231.5641756.706191e-09
0.8463741.5640696.738629e-09
0.8504681.5639636.771225e-09
0.8545811.5638586.803978e-09
0.8587151.5637546.836889e-09
0.8628691.563656.869960e-09
0.8670421.5635476.903191e-09
0.8712361.5634446.936582e-09
0.875451.5633436.970135e-09
0.8796851.5632417.003850e-09
0.883941.563147.037728e-09
0.8882151.563047.071770e-09
0.8925121.562947.105977e-09
0.8968291.5628417.140349e-09
0.91.5627697.165600e-09
0.9011671.5627437.267851e-09
0.9055251.5626457.649926e-09
0.9099051.5625478.033849e-09
0.9143071.562458.419629e-09
0.9187291.5623538.807275e-09
0.9231731.5622579.196796e-09
0.9276381.5621629.588201e-09
0.9321251.5620669.981499e-09
0.9366341.5619721.037670e-08
0.9411641.5618771.077381e-08
0.9457171.5617831.117285e-08
0.9502911.561691.157381e-08
0.9548881.5615971.197671e-08
0.9595061.5615041.238156e-08
0.9641471.5614121.278837e-08
0.9688111.561321.319715e-08
0.9734971.5612291.360790e-08
0.9782061.5611371.402065e-08
0.9829371.5610471.443538e-08
0.9876921.5609561.485213e-08
0.9924691.5608661.527089e-08
0.997271.5607761.569167e-08
11.5607251.593100e-08
1.002091.5606871.596436e-08
1.006941.5605981.604160e-08
1.011811.5605091.611921e-08
1.016711.560421.619719e-08
1.021621.5603321.627556e-08
1.026561.5602441.635430e-08
1.031531.5601561.643343e-08
1.036521.5600681.651293e-08
1.041531.5599811.659283e-08
1.046571.5598941.667310e-08
1.051631.5598071.675377e-08
1.056721.559721.683483e-08
1.061831.5596341.691628e-08
1.066971.5595471.699812e-08
1.072131.5594611.708036e-08
1.077311.5593751.716299e-08
1.082521.559291.724603e-08
1.087761.5592041.732947e-08
1.093021.5591191.741331e-08
1.098311.5590331.749755e-08
1.103621.5589481.758221e-08
1.108961.5588631.766727e-08
1.114321.5587781.775275e-08
1.119711.5586941.783863e-08
1.125131.5586091.792494e-08
1.130571.5585241.801166e-08
1.136041.558441.809880e-08
1.141541.5583551.818636e-08
1.147061.5582711.827435e-08
1.152611.5581871.836276e-08
1.158181.5581021.845160e-08
1.163781.5580181.854087e-08
1.169411.5579341.863057e-08
1.175071.557851.872070e-08
1.180751.5577651.881127e-08
1.186461.5576811.890228e-08
1.19221.5575971.899373e-08
1.197971.5575131.908562e-08
1.21.5574831.911800e-08
1.203761.5574292.001969e-08
1.209591.5573442.141500e-08
1.215441.557262.281706e-08
1.221311.5571762.422591e-08
1.227221.5570912.564157e-08
1.233161.5570072.706407e-08
1.239121.5569232.849346e-08
1.245121.5568382.992976e-08
1.251141.5567533.137301e-08
1.257191.5566693.282324e-08
1.263271.5565843.428048e-08
1.269381.5564993.574478e-08
1.275521.5564143.721615e-08
1.281691.5563283.869464e-08
1.287891.5562434.018029e-08
1.294121.5561574.167312e-08
1.300381.5560724.317317e-08
1.306671.5559864.468047e-08
1.312991.55594.619507e-08
1.319341.5558144.771699e-08
1.325721.5557274.924628e-08
1.332141.5556415.078296e-08
1.338581.5555545.232707e-08
1.345051.5554675.387865e-08
1.351561.5553795.543774e-08
1.35811.5552925.700437e-08
1.364671.5552045.857858e-08
1.371271.5551166.016040e-08
1.37791.5550286.174987e-08
1.384561.554946.334703e-08
1.391261.5548516.495192e-08
1.397991.5547626.656457e-08
1.41.5547356.704600e-08
1.404751.5546726.757820e-08
1.411551.5545836.833900e-08
1.418381.5544936.910349e-08
1.425241.5544026.987167e-08
1.432131.5543127.064357e-08
1.439061.5542217.141920e-08
1.446021.5541297.219858e-08
1.453011.5540387.298174e-08
1.460041.5539457.376868e-08
1.46711.5538537.455943e-08
1.47421.553767.535400e-08
1.481331.5536677.615242e-08
1.488491.5535737.695469e-08
1.495691.5534797.776085e-08
1.502931.5533857.857091e-08
1.51021.553297.938489e-08
1.51751.5531948.020280e-08
1.524841.5530988.102467e-08
1.532221.5530028.185051e-08
1.539631.5529058.268035e-08
1.547081.5528088.351421e-08
1.554561.552718.435209e-08
1.562081.5526128.519403e-08
1.569641.5525138.604004e-08
1.577231.5524148.689015e-08
1.584861.5523148.774436e-08
1.592521.5522148.860271e-08
1.61.5521168.944000e-08
1.600231.5521138.969804e-08
1.607971.5520119.856832e-08
1.615741.5519091.074815e-07
1.623561.5518061.164378e-07
1.631411.5517031.254374e-07
1.63931.5515991.344806e-07
1.647231.5514951.435675e-07
1.65521.5513891.526983e-07
1.663211.5512841.618733e-07
1.671251.5511771.710927e-07
1.679331.551071.803567e-07
1.687461.5509621.896655e-07
1.695621.5508541.990193e-07
1.703821.5507452.084184e-07
1.712061.5506352.178629e-07
1.720341.5505242.273531e-07
1.728661.5504132.368892e-07
1.737031.5503012.464715e-07
1.745431.5501882.561000e-07
1.753871.5500742.657752e-07
1.762351.549962.754972e-07
1.770881.5498452.852661e-07
1.779441.5497292.950824e-07
1.788051.5496123.049461e-07
1.79671.5494943.148575e-07
1.81.5494493.186400e-07
1.805391.5493763.298018e-07
1.814121.5492563.478856e-07
1.82291.5491363.660570e-07
1.831711.5490153.843162e-07
1.840571.5488934.026638e-07
1.849481.548774.211001e-07
1.858421.5486464.396255e-07
1.867411.5485224.582406e-07
1.876441.5483964.769457e-07
1.885521.5482694.957413e-07
1.894641.5481425.146278e-07
1.903811.5480135.336057e-07
1.913011.5478845.526754e-07
1.922271.5477535.718373e-07
1.931571.5476215.910918e-07
1.940911.5474896.104396e-07
1.95031.5473556.298809e-07
1.959731.547226.494162e-07
1.969211.5470846.690460e-07
1.978731.5469476.887708e-07
1.98831.5468097.085910e-07
1.997921.546677.285070e-07
21.546647.328100e-07
2.007591.546537.823991e-07
2.01731.5463888.458768e-07
2.027051.5462459.096615e-07
2.036861.5461019.737548e-07
2.046711.5459561.038158e-06
2.056611.545811.102873e-06
2.066561.5456621.167901e-06
2.076551.5455141.233243e-06
2.08661.5453631.298901e-06
2.096691.5452121.364877e-06
2.106831.5450591.431172e-06
2.117021.5449051.497788e-06
2.127261.544751.564726e-06
2.137551.5445931.631988e-06
2.147891.5444351.699575e-06
2.158281.5442751.767489e-06
2.168721.5441141.835731e-06
2.179211.5439521.904304e-06
2.189751.5437881.973208e-06
2.21.5436282.040200e-06
2.200341.5436232.041264e-06
2.210991.5434562.074231e-06
2.221681.5432882.107357e-06
2.232431.5431182.140643e-06
2.243231.5429472.174090e-06
2.254081.5427742.207699e-06
2.264981.5425992.241471e-06
2.275931.5424232.275406e-06
2.286941.5422452.309505e-06
2.2981.5420662.343769e-06
2.309121.5418852.378199e-06
2.320291.5417022.412795e-06
2.331511.5415182.447558e-06
2.342791.5413322.482490e-06
2.354121.5411442.517591e-06
2.365511.5409542.552862e-06
2.376951.5407622.588303e-06
2.388451.5405692.623915e-06
2.41.5403742.659700e-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
—