Optical constants

Refractive index of S-BSM4 (OHARA)

S-BSM4: 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
1.61271
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.60085
Permittivity ε2
3.01943e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
58.717
Chromatic dispersion dn/dλ
-0.0538598 µm⁻¹
Group index ng
1.64436
Group velocity dispersion
94.8821 fs²/mm
Dispersion parameter D
-517.632 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-BSM4 (OHARA): S-BSM4
ohara_s_bsm4 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BSM4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bsm4.range_nm)  # (310, 2400) nm
eps = ohara_s_bsm4.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=0.96244308λ2λ2−0.00468062141+0.595939234λ2λ2−0.0178772082+1.10558352λ2λ2−115.896432

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.96244308
C30.00468062141
C40.595939234
C50.0178772082
C61.10558352
C7115.896432

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 7.56e-07 1.32e-08 -4.04e-11 3.16e-07 5.36e-10 0.263
nd
1.612716
Vd
58.716945
glass code
613587
density
value: 3570
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0016
resistance
acid: 51.2; climatic: 1.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 8.46e-07 K⁻¹ at 633 nm, dn/dT = 4.60e-07 K⁻¹ at 1310 nm, dn/dT = 4.31e-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-BSM4 (OHARA), S-BSM4: n and k versus wavelength
λ (µm)nk
0.311.6561827.940600e-06
0.3115941.6555057.254051e-06
0.3131971.6548376.563971e-06
0.3148071.6541785.870343e-06
0.3164261.6535285.173147e-06
0.3180531.6528874.472366e-06
0.3196891.6522543.767982e-06
0.321.6521353.634100e-06
0.3213331.6516293.378546e-06
0.3229861.6510133.061779e-06
0.3246471.6504052.743383e-06
0.3263161.6498052.423349e-06
0.3279941.6492122.101670e-06
0.3296811.6486271.778336e-06
0.331.6485181.717200e-06
0.3313761.648051.598035e-06
0.3330811.6474811.450505e-06
0.3347941.6469181.302217e-06
0.3365151.6463631.153166e-06
0.3382461.6458151.003349e-06
0.3399851.6452748.527606e-07
0.341.645278.514900e-07
0.3417341.644747.823414e-07
0.3434911.6442137.122489e-07
0.3452581.6436926.417958e-07
0.3470331.6431785.709805e-07
0.3488181.642674.998010e-07
0.351.6423394.526500e-07
0.3506121.6421694.388141e-07
0.3524151.6416743.980270e-07
0.3542271.6411853.570300e-07
0.3560491.6407033.158223e-07
0.357881.6402262.744026e-07
0.359721.6397552.327700e-07
0.361.6396842.264400e-07
0.361571.639292.097579e-07
0.363431.6388311.900015e-07
0.3652981.6383781.701436e-07
0.3671771.637931.501835e-07
0.3690651.6374871.301208e-07
0.371.6372711.201900e-07
0.3709631.637051.153901e-07
0.3728711.6366181.058845e-07
0.3747891.6361919.632999e-08
0.3767161.635778.672634e-08
0.3786531.6353547.707329e-08
0.381.6350697.036300e-08
0.3806011.6349426.895422e-08
0.3825581.6345366.436281e-08
0.3845251.6341355.974779e-08
0.3865031.6337385.510904e-08
0.388491.6333465.044643e-08
0.391.6330534.690500e-08
0.3904881.6329594.602009e-08
0.3924961.6325764.237994e-08
0.3945151.6321983.872107e-08
0.3965441.6318243.504339e-08
0.3985831.6314553.134679e-08
0.41.6312022.877800e-08
0.4006331.631092.850393e-08
0.4026931.6307292.761141e-08
0.4047641.6303732.671429e-08
0.4068451.630022.581257e-08
0.4089381.6296722.490620e-08
0.4110411.6293282.399517e-08
0.4131551.6289882.307946e-08
0.4152791.6286512.215904e-08
0.4174151.6283192.123389e-08
0.4195611.6279912.030398e-08
0.421.6279242.011400e-08
0.4217191.6276661.989370e-08
0.4238881.6273451.961577e-08
0.4260681.6270271.933642e-08
0.4282591.6267141.905563e-08
0.4304611.6264031.877339e-08
0.4326751.6260971.848971e-08
0.43491.6257941.820456e-08
0.4371371.6254941.791795e-08
0.4393851.6251971.762986e-08
0.441.6251171.755100e-08
0.4416441.6249041.731432e-08
0.4439151.6246151.698738e-08
0.4461981.6243281.665876e-08
0.4484931.6240451.632844e-08
0.4507991.6237651.599643e-08
0.4531181.6234881.566271e-08
0.4554481.6232141.532728e-08
0.457791.6229431.499012e-08
0.461.6226911.467200e-08
0.4601441.6226751.464894e-08
0.4625111.622411.427080e-08
0.4648891.6221471.389071e-08
0.467281.6218881.350866e-08
0.4696831.6216321.312466e-08
0.4720981.6213781.273868e-08
0.4745261.6211271.235071e-08
0.4769671.6208791.196075e-08
0.4794191.6206341.156878e-08
0.481.6205761.147600e-08
0.4818851.6203911.114518e-08
0.4843631.6201511.071022e-08
0.4868541.6199131.027303e-08
0.4893581.6196789.833592e-09
0.4918741.6194469.391894e-09
0.4944041.6192168.947924e-09
0.4969461.6189888.501671e-09
0.4995021.6187638.053122e-09
0.51.6187197.965700e-09
0.5020711.618547.998690e-09
0.5046531.618328.039826e-09
0.5072481.6181018.081173e-09
0.5098561.6178868.122733e-09
0.5124781.6176728.164507e-09
0.5151141.6174618.206495e-09
0.5177631.6172528.248700e-09
0.5204261.6170458.291122e-09
0.5231021.616848.333761e-09
0.5257921.6166378.376620e-09
0.5284961.6164368.419700e-09
0.5312141.6162388.463001e-09
0.5339461.6160418.506524e-09
0.5366921.6158478.550272e-09
0.5394521.6156548.594244e-09
0.5422261.6154648.638443e-09
0.5450141.6152758.682869e-09
0.5478171.6150888.727523e-09
0.551.6149458.762300e-09
0.5506341.6149038.772407e-09
0.5534661.614728.817522e-09
0.5563121.6145398.862868e-09
0.5591731.614368.908448e-09
0.5620491.6141828.954263e-09
0.5649391.6140069.000313e-09
0.5678451.6138329.046600e-09
0.5707651.613669.093125e-09
0.57371.6134899.139889e-09
0.576651.613329.186893e-09
0.5796161.6131529.234140e-09
0.5825971.6129879.281629e-09
0.5855931.6128229.329363e-09
0.5886041.612669.377342e-09
0.5916311.6124999.425567e-09
0.5946741.6123399.474041e-09
0.5977321.6121819.522764e-09
0.61.6120669.558900e-09
0.6008061.6120259.571730e-09
0.6038961.611879.620924e-09
0.6070011.6117169.670372e-09
0.6101231.6115649.720074e-09
0.613261.6114149.770031e-09
0.6164141.6112649.820245e-09
0.6195841.6111169.870718e-09
0.622771.610979.921450e-09
0.6259731.6108259.972443e-09
0.6291921.6106811.002370e-08
0.6324281.6105381.007522e-08
0.635681.6103971.012700e-08
0.6389491.6102571.017905e-08
0.6422351.6101181.023137e-08
0.6455381.6099811.028396e-08
0.6488581.6098441.033681e-08
0.651.6097981.035500e-08
0.6521951.6097091.038998e-08
0.6555491.6095751.044344e-08
0.658921.6094431.049718e-08
0.6623081.6093111.055120e-08
0.6657141.609181.060549e-08
0.6691381.6090511.066006e-08
0.6725791.6089231.071491e-08
0.6760381.6087961.077004e-08
0.6795151.608671.082546e-08
0.6830091.6085451.088116e-08
0.6865211.6084211.093715e-08
0.6900521.6082981.099343e-08
0.6936011.6081761.104999e-08
0.6971681.6080551.110685e-08
0.71.607961.115200e-08
0.7007531.6079351.116399e-08
0.7043571.6078161.122140e-08
0.7079791.6076981.127910e-08
0.711621.6075811.133710e-08
0.7152791.6074651.139540e-08
0.7189581.607351.145400e-08
0.7226551.6072351.151290e-08
0.7263711.6071221.157210e-08
0.7301071.6070091.163160e-08
0.7338621.6068981.169141e-08
0.7376361.6067871.175153e-08
0.7414291.6066771.181196e-08
0.7452421.6065681.187270e-08
0.7490741.6064591.193375e-08
0.7529271.6063521.199512e-08
0.7567991.6062451.205680e-08
0.760691.6061391.211880e-08
0.7646021.6060331.218112e-08
0.7685351.6059291.224375e-08
0.7724871.6058251.230671e-08
0.7764591.6057221.237000e-08
0.7804521.6056191.243361e-08
0.7844661.6055181.249754e-08
0.78851.6054171.256181e-08
0.7925551.6053161.262640e-08
0.7966311.6052171.269133e-08
0.81.6051351.274500e-08
0.8007281.6051181.280885e-08
0.8048461.6050191.317011e-08
0.8089851.6049211.353323e-08
0.8131451.6048241.389821e-08
0.8173271.6047281.426507e-08
0.821531.6046321.463382e-08
0.8257551.6045361.500446e-08
0.8300011.6044411.537701e-08
0.834271.6043471.575148e-08
0.838561.6042531.612787e-08
0.8428721.604161.650620e-08
0.8472071.6040671.688647e-08
0.8515641.6039751.726870e-08
0.8559431.6038841.765289e-08
0.8603451.6037921.803906e-08
0.8647691.6037021.842722e-08
0.8692171.6036111.881737e-08
0.8736871.6035221.920953e-08
0.878181.6034321.960371e-08
0.8826961.6033441.999991e-08
0.8872351.6032552.039815e-08
0.8917981.6031672.079843e-08
0.8963841.603082.120078e-08
0.91.6030112.151800e-08
0.9009941.6029922.154176e-08
0.9056271.6029062.165255e-08
0.9102851.6028192.176391e-08
0.9149661.6027332.187584e-08
0.9196711.6026472.198834e-08
0.9244011.6025622.210142e-08
0.9291551.6024772.221509e-08
0.9339331.6023922.232934e-08
0.9387361.6023082.244417e-08
0.9435631.6022242.255960e-08
0.9484161.602142.267562e-08
0.9532931.6020572.279224e-08
0.9581961.6019742.290946e-08
0.9631231.6018912.302728e-08
0.9680761.6018082.314570e-08
0.9730551.6017262.326474e-08
0.9780591.6016442.338439e-08
0.9830891.6015622.350465e-08
0.9881441.601482.362553e-08
0.9932261.6013992.374703e-08
0.9983341.6013182.386916e-08
11.6012912.390900e-08
1.003471.6012372.399191e-08
1.008631.6011562.411530e-08
1.013821.6010752.423932e-08
1.019031.6009952.436398e-08
1.024271.6009142.448928e-08
1.029541.6008342.461523e-08
1.034831.6007542.474182e-08
1.040151.6006742.486906e-08
1.04551.6005952.499696e-08
1.050881.6005152.512551e-08
1.056281.6004362.525473e-08
1.061721.6003562.538461e-08
1.067181.6002772.551516e-08
1.072661.6001982.564638e-08
1.078181.6001192.577827e-08
1.083721.6000392.591085e-08
1.08931.599962.604410e-08
1.09491.5998822.617804e-08
1.100531.5998032.631267e-08
1.106191.5997242.644799e-08
1.111881.5996452.658401e-08
1.11761.5995662.672073e-08
1.123341.5994872.685815e-08
1.129121.5994082.699628e-08
1.134931.5993292.713511e-08
1.140761.5992512.727466e-08
1.146631.5991722.741493e-08
1.152531.5990932.755592e-08
1.158451.5990142.769764e-08
1.164411.5989352.784008e-08
1.17041.5988552.798326e-08
1.176421.5987762.812717e-08
1.182471.5986972.827182e-08
1.188551.5986182.841722e-08
1.194661.5985382.856336e-08
1.21.5984692.869100e-08
1.200811.5984582.902641e-08
1.206981.5983793.159778e-08
1.213191.5982993.418236e-08
1.219431.5982193.678024e-08
1.22571.5981393.939148e-08
1.2321.5980584.201615e-08
1.238341.5979784.465431e-08
1.244711.5978974.730605e-08
1.251111.5978174.997142e-08
1.257541.5977365.265049e-08
1.264011.5976545.534335e-08
1.270511.5975735.805005e-08
1.277041.5974916.077067e-08
1.283611.5974096.350528e-08
1.290211.5973276.625396e-08
1.296841.5972456.901677e-08
1.303511.5971627.179379e-08
1.310221.5970797.458509e-08
1.316961.5969967.739075e-08
1.323731.5969138.021083e-08
1.330541.5968298.304542e-08
1.337381.5967458.589458e-08
1.344261.5966618.875840e-08
1.351171.5965769.163694e-08
1.358121.5964919.453029e-08
1.36511.5964069.743851e-08
1.372121.596321.003617e-07
1.379181.5962341.032999e-07
1.386271.5961471.062532e-07
1.39341.5960611.092217e-07
1.41.595981.119700e-07
1.400571.5959731.118700e-07
1.407771.5958861.105971e-07
1.415011.5957981.093177e-07
1.422281.5957091.080316e-07
1.42961.595621.067390e-07
1.436951.5955311.054397e-07
1.444341.5954411.041337e-07
1.451771.5953511.028210e-07
1.459231.595261.015015e-07
1.466741.5951691.001753e-07
1.474281.5950779.884224e-08
1.481861.5949859.750233e-08
1.489481.5948929.615553e-08
1.497141.5947999.480180e-08
1.504841.5947059.344111e-08
1.512581.5946119.207342e-08
1.520361.5945169.069870e-08
1.528181.594428.931691e-08
1.536041.5943248.792802e-08
1.543941.5942288.653198e-08
1.551881.594138.512876e-08
1.559861.5940338.371832e-08
1.567881.5939348.230064e-08
1.575941.5938358.087566e-08
1.584051.5937357.944335e-08
1.592191.5936357.800368e-08
1.61.5935387.662400e-08
1.600381.5935337.689070e-08
1.608611.5934328.264631e-08
1.616881.5933298.843151e-08
1.62521.5932269.424647e-08
1.633561.5931221.000913e-07
1.641961.5930171.059662e-07
1.65041.5929121.118714e-07
1.658891.5928051.178069e-07
1.667421.5926981.237729e-07
1.6761.592591.297696e-07
1.684611.5924821.357971e-07
1.693281.5923721.418557e-07
1.701991.5922621.479454e-07
1.710741.5921511.540664e-07
1.719541.5920391.602189e-07
1.728381.5919261.664030e-07
1.737271.5918131.726189e-07
1.74621.5916981.788668e-07
1.755181.5915831.851469e-07
1.764211.5914661.914592e-07
1.773281.5913491.978040e-07
1.78241.591232.041814e-07
1.791571.5911112.105916e-07
1.81.5910012.164900e-07
1.800781.5909912.174711e-07
1.810041.590872.291341e-07
1.819351.5907472.408571e-07
1.82871.5906242.526403e-07
1.838111.59052.644841e-07
1.847561.5903742.763889e-07
1.857061.5902482.883549e-07
1.866611.590123.003824e-07
1.876211.5899923.124717e-07
1.885861.5898623.246233e-07
1.895561.5897313.368373e-07
1.905311.5895993.491141e-07
1.915111.5894663.614541e-07
1.924951.5893313.738575e-07
1.934851.5891953.863247e-07
1.94481.5890593.988561e-07
1.954811.588924.114519e-07
1.964861.5887814.241124e-07
1.974961.588644.368381e-07
1.985121.5884994.496292e-07
1.995331.5883554.624860e-07
21.588294.683700e-07
2.005591.5882115.008860e-07
2.01591.5880655.608893e-07
2.026271.5879176.212012e-07
2.036691.5877696.818232e-07
2.047161.5876197.427569e-07
2.057691.5874678.040041e-07
2.068271.5873148.655662e-07
2.078911.587169.274448e-07
2.08961.5870049.896418e-07
2.100351.5868461.052159e-06
2.111151.5866871.114997e-06
2.122011.5865271.178158e-06
2.132921.5863651.241644e-06
2.143891.5862011.305457e-06
2.154911.5860361.369598e-06
2.165991.5858691.434069e-06
2.177131.58571.498871e-06
2.188331.585531.564007e-06
2.199581.5853581.629477e-06
2.21.5853521.631900e-06
2.21091.5851851.749470e-06
2.222261.5850091.872162e-06
2.233691.5848321.995484e-06
2.245181.5846532.119441e-06
2.256731.5844722.244035e-06
2.268331.5842892.369271e-06
2.281.5841052.495150e-06
2.291721.5839182.621676e-06
2.303511.583732.748853e-06
2.315351.583542.876684e-06
2.327261.5833473.005173e-06
2.339231.5831533.134322e-06
2.351261.5829573.264136e-06
2.363351.5827583.394617e-06
2.37551.5825583.525769e-06
2.387721.5823553.657596e-06
2.41.582153.790100e-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
—