Optical constants

Refractive index of S-BSM18 (OHARA)

S-BSM18: n,k 0.31–2.4 µm

Data
formula 2 + tabulated k
Range
0.31–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–2.4 µm
Refractive index n
1.63854
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.6848
Permittivity ε2
3.06778e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
55.38
Chromatic dispersion dn/dλ
-0.0594019 µm⁻¹
Group index ng
1.67344
Group velocity dispersion
106.034 fs²/mm
Dispersion parameter D
-578.473 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-BSM18 (OHARA): S-BSM18
ohara_s_bsm18 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BSM18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bsm18.range_nm)  # (310, 2400) nm
eps = ohara_s_bsm18.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=0.927886025λ2λ2−0.00417549199+0.708858526λ2λ2−0.0184691838+1.18610897λ2λ2−122.210416

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.927886025
C30.00417549199
C40.708858526
C50.0184691838
C61.18610897
C7122.210416

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.5e-07 1.22e-08 -3.26e-11 5.94e-07 6.22e-10 0.141
nd
1.638539
Vd
55.380028
glass code
639554
density
value: 3690
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.0035
resistance
acid: 51.2; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 9.79e-07 K⁻¹ at 633 nm, dn/dT = 3.52e-07 K⁻¹ at 1310 nm, dn/dT = 3.00e-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 427 wavelengths, the same grid as the API and the library
S-BSM18 (OHARA), S-BSM18: n and k versus wavelength
λ (µm)nk
0.311.6871886.230700e-06
0.3115941.6864225.712851e-06
0.3131971.6856665.192339e-06
0.3148071.6849214.669150e-06
0.3164261.6841864.143270e-06
0.3180531.6834613.614686e-06
0.3196891.6827463.083384e-06
0.321.6826112.982400e-06
0.3213331.682042.781599e-06
0.3229861.6813442.532700e-06
0.3246471.6806572.282521e-06
0.3263161.679982.031055e-06
0.3279941.6793111.778296e-06
0.3296811.6786511.524237e-06
0.331.6785281.476200e-06
0.3313761.6780011.380142e-06
0.3330811.6773581.261220e-06
0.3347941.6767251.141686e-06
0.3365151.6760991.021538e-06
0.3382461.6754829.007716e-07
0.3399851.6748727.793842e-07
0.341.6748677.783600e-07
0.3417341.6742717.162417e-07
0.3434911.6736786.532755e-07
0.3452581.6730925.899854e-07
0.3470331.6725135.263698e-07
0.3488181.6719424.624271e-07
0.351.671574.200700e-07
0.3506121.6713794.072813e-07
0.3524151.6708223.695809e-07
0.3542271.6702733.316867e-07
0.3560491.6697312.935977e-07
0.357881.6691952.553127e-07
0.359721.6686672.168309e-07
0.361.6685872.109800e-07
0.361571.6681451.962448e-07
0.363431.6676291.787941e-07
0.3652981.667121.612537e-07
0.3671771.6666171.436231e-07
0.3690651.6661211.259018e-07
0.371.6658791.171300e-07
0.3709631.6656311.126249e-07
0.3728711.6651471.037030e-07
0.3747891.6646689.473529e-08
0.3767161.6641968.572142e-08
0.3786531.663737.666120e-08
0.381.663417.036300e-08
0.3806011.6632696.895422e-08
0.3825581.6628146.436281e-08
0.3845251.6623645.974779e-08
0.3865031.661925.510904e-08
0.388491.6614815.044643e-08
0.391.6611534.690500e-08
0.3904881.6610484.617694e-08
0.3924961.660624.318201e-08
0.3945151.6601974.017167e-08
0.3965441.6597793.714585e-08
0.3985831.6593663.410447e-08
0.41.6590833.199100e-08
0.4006331.6589583.172171e-08
0.4026931.6585553.084474e-08
0.4047641.6581562.996326e-08
0.4068451.6577632.907725e-08
0.4089381.6573742.818668e-08
0.4110411.6569892.729153e-08
0.4131551.656612.639178e-08
0.4152791.6562342.548740e-08
0.4174151.6558632.457837e-08
0.4195611.6554972.366467e-08
0.421.6554222.347800e-08
0.4217191.6551342.327119e-08
0.4238881.6547762.301029e-08
0.4260681.6544222.274805e-08
0.4282591.6540722.248446e-08
0.4304611.6537262.221951e-08
0.4326751.6533852.195320e-08
0.43491.6530472.168553e-08
0.4371371.6527132.141647e-08
0.4393851.6523822.114603e-08
0.441.6522932.107200e-08
0.4416441.6520562.084814e-08
0.4439151.6517332.053892e-08
0.4461981.6514142.022810e-08
0.4484931.6510991.991569e-08
0.4507991.6507871.960167e-08
0.4531181.6504781.928603e-08
0.4554481.6501741.896877e-08
0.457791.6498721.864988e-08
0.461.6495921.834900e-08
0.4601441.6495741.832707e-08
0.4625111.6492791.796750e-08
0.4648891.6489881.760609e-08
0.467281.64871.724281e-08
0.4696831.6484151.687767e-08
0.4720981.6481331.651065e-08
0.4745261.6478541.614174e-08
0.4769671.6475781.577093e-08
0.4794191.6473061.539822e-08
0.481.6472421.531000e-08
0.4818851.6470361.499381e-08
0.4843631.6467691.457810e-08
0.4868541.6465061.416025e-08
0.4893581.6462451.374025e-08
0.4918741.6459871.331810e-08
0.4944041.6457311.289377e-08
0.4969461.6454791.246726e-08
0.4995021.6452291.203855e-08
0.51.6451811.195500e-08
0.5020711.6449821.182278e-08
0.5046531.6447371.165791e-08
0.5072481.6444951.149219e-08
0.5098561.6442561.132563e-08
0.5124781.6440191.115820e-08
0.5151141.6437851.098991e-08
0.5177631.6435541.082076e-08
0.5204261.6433241.065074e-08
0.5231021.6430971.047984e-08
0.5257921.6428731.030807e-08
0.5284961.6426511.013541e-08
0.5312141.6424319.961865e-09
0.5339461.6422139.787426e-09
0.5366921.6419989.612090e-09
0.5394521.6417859.435853e-09
0.5422261.6415749.258709e-09
0.5450141.6413669.080654e-09
0.5478171.6411598.901683e-09
0.551.6418.762300e-09
0.5506341.6409558.772407e-09
0.5534661.6407528.817522e-09
0.5563121.6405528.862868e-09
0.5591731.6403548.908448e-09
0.5620491.6401588.954263e-09
0.5649391.6399639.000313e-09
0.5678451.6397719.046600e-09
0.5707651.6395819.093125e-09
0.57371.6393929.139889e-09
0.576651.6392069.186893e-09
0.5796161.6390219.234140e-09
0.5825971.6388389.281629e-09
0.5855931.6386579.329363e-09
0.5886041.6384779.377342e-09
0.5916311.63839.425567e-09
0.5946741.6381249.474041e-09
0.5977321.637959.522764e-09
0.61.6378229.558900e-09
0.6008061.6377779.571730e-09
0.6038961.6376079.620924e-09
0.6070011.6374379.670372e-09
0.6101231.637279.720074e-09
0.613261.6371049.770031e-09
0.6164141.636949.820245e-09
0.6195841.6367779.870718e-09
0.622771.6366169.921450e-09
0.6259731.6364569.972443e-09
0.6291921.6362981.002370e-08
0.6324281.6361411.007522e-08
0.635681.6359851.012700e-08
0.6389491.6358321.017905e-08
0.6422351.6356791.023137e-08
0.6455381.6355281.028396e-08
0.6488581.6353781.033681e-08
0.651.6353271.035500e-08
0.6521951.635231.038998e-08
0.6555491.6350831.044344e-08
0.658921.6349371.049718e-08
0.6623081.6347931.055120e-08
0.6657141.634651.060549e-08
0.6691381.6345081.066006e-08
0.6725791.6343671.071491e-08
0.6760381.6342281.077004e-08
0.6795151.634091.082546e-08
0.6830091.6339531.088116e-08
0.6865211.6338171.093715e-08
0.6900521.6336821.099343e-08
0.6936011.6335491.104999e-08
0.6971681.6334161.110685e-08
0.71.6333121.115200e-08
0.7007531.6332851.116399e-08
0.7043571.6331551.122140e-08
0.7079791.6330261.127910e-08
0.711621.6328981.133710e-08
0.7152791.6327711.139540e-08
0.7189581.6326451.145400e-08
0.7226551.632521.151290e-08
0.7263711.6323961.157210e-08
0.7301071.6322731.163160e-08
0.7338621.6321511.169141e-08
0.7376361.632031.175153e-08
0.7414291.631911.181196e-08
0.7452421.6317911.187270e-08
0.7490741.6316731.193375e-08
0.7529271.6315561.199512e-08
0.7567991.6314391.205680e-08
0.760691.6313241.211880e-08
0.7646021.6312091.218112e-08
0.7685351.6310951.224375e-08
0.7724871.6309821.230671e-08
0.7764591.630871.237000e-08
0.7804521.6307591.243361e-08
0.7844661.6306481.249754e-08
0.78851.6305381.256181e-08
0.7925551.6304291.262640e-08
0.7966311.6303211.269133e-08
0.81.6302331.274500e-08
0.8007281.6302131.275659e-08
0.8048461.6301071.282219e-08
0.8089851.6300011.288813e-08
0.8131451.6298951.295440e-08
0.8173271.6297911.302101e-08
0.821531.6296871.308797e-08
0.8257551.6295831.315527e-08
0.8300011.629481.322292e-08
0.834271.6293781.329092e-08
0.838561.6292771.335926e-08
0.8428721.6291761.342796e-08
0.8472071.6290761.349701e-08
0.8515641.6289761.356641e-08
0.8559431.6288771.363617e-08
0.8603451.6287791.370630e-08
0.8647691.6286811.377678e-08
0.8692171.6285841.384762e-08
0.8736871.6284871.391883e-08
0.878181.6283911.399040e-08
0.8826961.6282951.406234e-08
0.8872351.62821.413466e-08
0.8917981.6281051.420734e-08
0.8963841.6280111.428040e-08
0.91.6279371.433800e-08
0.9009941.6279171.443313e-08
0.9056271.6278231.487660e-08
0.9102851.6277311.532235e-08
0.9149661.6276381.577039e-08
0.9196711.6275461.622074e-08
0.9244011.6274551.667340e-08
0.9291551.6273631.712839e-08
0.9339331.6272731.758573e-08
0.9387361.6271821.804541e-08
0.9435631.6270921.850746e-08
0.9484161.6270031.897188e-08
0.9532931.6269131.943869e-08
0.9581961.6268241.990790e-08
0.9631231.6267362.037953e-08
0.9680761.6266472.085358e-08
0.9730551.6265592.133007e-08
0.9780591.6264722.180900e-08
0.9830891.6263842.229041e-08
0.9881441.6262972.277428e-08
0.9932261.6262112.326065e-08
0.9983341.6261242.374952e-08
11.6260962.390900e-08
1.003471.6260382.399191e-08
1.008631.6259522.411530e-08
1.013821.6258662.423932e-08
1.019031.625782.436398e-08
1.024271.6256952.448928e-08
1.029541.625612.461523e-08
1.034831.6255252.474182e-08
1.040151.625442.486906e-08
1.04551.6253562.499696e-08
1.050881.6252712.512551e-08
1.056281.6251872.525473e-08
1.061721.6251032.538461e-08
1.067181.6250192.551516e-08
1.072661.6249352.564638e-08
1.078181.6248522.577827e-08
1.083721.6247682.591085e-08
1.08931.6246852.604410e-08
1.09491.6246012.617804e-08
1.100531.6245182.631267e-08
1.106191.6244352.644799e-08
1.111881.6243522.658401e-08
1.11761.6242692.672073e-08
1.123341.6241862.685815e-08
1.129121.6241032.699628e-08
1.134931.624022.713511e-08
1.140761.6239372.727466e-08
1.146631.6238542.741493e-08
1.152531.6237712.755592e-08
1.158451.6236882.769764e-08
1.164411.6236052.784008e-08
1.17041.6235222.798326e-08
1.176421.6234392.812717e-08
1.182471.6233562.827182e-08
1.188551.6232732.841722e-08
1.194661.623192.856336e-08
1.21.6231172.869100e-08
1.200811.6231072.889064e-08
1.206981.6230233.042116e-08
1.213191.622943.195955e-08
1.219431.6228563.350585e-08
1.22571.6227733.506010e-08
1.2321.6226893.662234e-08
1.238341.6226053.819262e-08
1.244711.6225213.977097e-08
1.251111.6224374.135745e-08
1.257541.6223534.295208e-08
1.264011.6222684.455490e-08
1.270511.6221834.616598e-08
1.277041.6220994.778534e-08
1.283611.6220144.941302e-08
1.290211.6219285.104908e-08
1.296841.6218435.269355e-08
1.303511.6217575.434647e-08
1.310221.6216715.600790e-08
1.316961.6215855.767787e-08
1.323731.6214995.935643e-08
1.330541.6214126.104362e-08
1.337381.6213256.273949e-08
1.344261.6212386.444408e-08
1.351171.621156.615744e-08
1.358121.6210636.787960e-08
1.36511.6209746.961063e-08
1.372121.6208867.135055e-08
1.379181.6207977.309942e-08
1.386271.6207087.485729e-08
1.39341.6206187.662420e-08
1.41.6205367.826000e-08
1.400571.6205297.825537e-08
1.407771.6204387.819646e-08
1.415011.6203487.813724e-08
1.422281.6202577.807771e-08
1.42961.6201657.801788e-08
1.436951.6200737.795774e-08
1.444341.6199817.789729e-08
1.451771.6198887.783654e-08
1.459231.6197957.777546e-08
1.466741.6197027.771408e-08
1.474281.6196087.765238e-08
1.481861.6195137.759036e-08
1.489481.6194187.752802e-08
1.497141.6193227.746536e-08
1.504841.6192267.740238e-08
1.512581.619137.733908e-08
1.520361.6190337.727545e-08
1.528181.6189357.721150e-08
1.536041.6188377.714721e-08
1.543941.6187387.708259e-08
1.551881.6186387.701765e-08
1.559861.6185387.695236e-08
1.567881.6184387.688674e-08
1.575941.6183377.682079e-08
1.584051.6182357.675449e-08
1.592191.6181327.668786e-08
1.61.6180347.662400e-08
1.600381.6180297.686298e-08
1.608611.6179258.202025e-08
1.616881.6178218.720404e-08
1.62521.6177169.241450e-08
1.633561.617619.765174e-08
1.641961.6175031.029159e-07
1.65041.6173961.082072e-07
1.658891.6172881.135256e-07
1.667421.6171791.188715e-07
1.6761.617071.242448e-07
1.684611.6169591.296457e-07
1.693281.6168481.350744e-07
1.701991.6167361.405310e-07
1.710741.6166231.460157e-07
1.719541.616511.515286e-07
1.728381.6163951.570699e-07
1.737271.616281.626396e-07
1.74621.6161641.682380e-07
1.755181.6160471.738652e-07
1.764211.6159291.795213e-07
1.773281.615811.852065e-07
1.78241.615691.909210e-07
1.791571.6155691.966648e-07
1.81.6154582.019500e-07
1.800781.6154472.028602e-07
1.810041.6153252.136805e-07
1.819351.6152012.245564e-07
1.82871.6150762.354882e-07
1.838111.6149512.464763e-07
1.847561.6148242.575208e-07
1.857061.6146962.686222e-07
1.866611.6145672.797806e-07
1.876211.6144372.909964e-07
1.885861.6143063.022699e-07
1.895561.6141743.136014e-07
1.905311.614043.249912e-07
1.915111.6139063.364395e-07
1.924951.613773.479467e-07
1.934851.6136333.595131e-07
1.94481.6134953.711389e-07
1.954811.6133563.828246e-07
1.964861.6132163.945703e-07
1.974961.6130744.063765e-07
1.985121.6129314.182433e-07
1.995331.6127874.301712e-07
21.612724.356300e-07
2.005591.6126414.621276e-07
2.01591.6124945.110247e-07
2.026271.6123465.601733e-07
2.036691.6121966.095747e-07
2.047161.6120456.592301e-07
2.057691.6118927.091409e-07
2.068271.6117397.593084e-07
2.078911.6115838.097338e-07
2.08961.6114268.604186e-07
2.100351.6112689.113640e-07
2.111151.6111089.625714e-07
2.122011.6109471.014042e-06
2.132921.6107841.065778e-06
2.143891.610621.117779e-06
2.154911.6104541.170048e-06
2.165991.6102861.222586e-06
2.177131.6101171.275394e-06
2.188331.6099461.328473e-06
2.199581.6097731.381826e-06
2.21.6097671.383800e-06
2.21091.6095991.489816e-06
2.222261.6094231.600450e-06
2.233691.6092451.711652e-06
2.245181.6090661.823427e-06
2.256731.6088841.935777e-06
2.268331.6087012.048704e-06
2.281.6085162.162213e-06
2.291721.6083292.276305e-06
2.303511.608142.390983e-06
2.315351.607952.506252e-06
2.327261.6077572.622113e-06
2.339231.6075622.738570e-06
2.351261.6073662.855626e-06
2.363351.6071672.973283e-06
2.37551.6069663.091546e-06
2.387721.6067633.210418e-06
2.41.6065583.329900e-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
—