Optical constants

Refractive index of S-BSM15 (OHARA)

S-BSM15: n,k 0.33–2.4 µm

Data
formula 2 + tabulated k
Range
0.33–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.33–2.4 µm
Refractive index n
1.62299
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.6341
Permittivity ε2
4.20695e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
58.166
Chromatic dispersion dn/dλ
-0.0552628 µm⁻¹
Group index ng
1.65546
Group velocity dispersion
97.3167 fs²/mm
Dispersion parameter D
-530.914 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-BSM15 (OHARA): S-BSM15
ohara_s_bsm15 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BSM15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bsm15.range_nm)  # (330, 2400) nm
eps = ohara_s_bsm15.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=0.953128328λ2λ2−0.00387638985+0.637613977λ2λ2−0.0185094632+1.65245647λ2λ2−159.442367

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.953128328
C30.00387638985
C40.637613977
C50.0185094632
C61.65245647
C7159.442367

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -3.24e-07 1.31e-08 -3.71e-11 4.21e-07 6.87e-10 0.207
nd
1.622992
Vd
58.165763
glass code
623582
density
value: 3600
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0016
resistance
acid: 52.2; climatic: 2.0; phosphate: 3.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.28e-07 K⁻¹ at 633 nm, dn/dT = -3.56e-08 K⁻¹ at 1310 nm, dn/dT = -7.13e-08 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 425 wavelengths, the same grid as the API and the library
S-BSM15 (OHARA), S-BSM15: n and k versus wavelength
λ (µm)nk
0.331.6599275.357700e-06
0.3316451.6593474.841732e-06
0.3332981.6587744.323191e-06
0.334961.6582093.802065e-06
0.336631.6576513.278342e-06
0.3383081.6570992.752007e-06
0.3399941.6565552.223049e-06
0.341.6565532.221300e-06
0.3416891.6560182.013869e-06
0.3433931.6554871.804715e-06
0.3451051.6549631.594519e-06
0.3468251.6544461.383275e-06
0.3485541.6539351.170978e-06
0.351.6535149.934200e-07
0.3502921.653439.780314e-07
0.3520381.6529318.858571e-07
0.3537931.6524397.932233e-07
0.3555561.6519537.001277e-07
0.3573291.6514726.065681e-07
0.359111.6509985.125420e-07
0.361.6507644.655800e-07
0.3609011.6505294.440388e-07
0.36271.6500664.010015e-07
0.3645081.6496093.577497e-07
0.3663251.6491573.142823e-07
0.3681511.6487112.705982e-07
0.3699861.648272.266963e-07
0.371.6482672.263700e-07
0.3718311.6478342.081041e-07
0.3736841.6474041.896105e-07
0.3755471.6469781.710246e-07
0.3774191.6465581.523461e-07
0.3793011.6461431.335745e-07
0.381.645991.266000e-07
0.3811921.6457321.204971e-07
0.3830921.6453271.107662e-07
0.3850021.6449261.009869e-07
0.3869211.644539.115875e-08
0.388851.6441398.128165e-08
0.391.6439087.539300e-08
0.3907891.6437527.324157e-08
0.3927371.6433696.792607e-08
0.3946941.6429926.258408e-08
0.3966621.6426185.721546e-08
0.398641.6422495.182007e-08
0.41.6419984.810800e-08
0.4006271.6418844.754727e-08
0.4026241.6415234.576059e-08
0.4046311.6411674.396500e-08
0.4066481.6408144.216047e-08
0.4086751.6404664.034693e-08
0.4107131.6401213.852436e-08
0.412761.6397813.669270e-08
0.4148181.6394443.485191e-08
0.4168861.6391113.300194e-08
0.4189641.6387823.114275e-08
0.421.638623.021600e-08
0.4210531.6384563.010589e-08
0.4231521.6381352.988634e-08
0.4252611.6378172.966568e-08
0.4273811.6375022.944393e-08
0.4295121.6371912.922108e-08
0.4316531.6368832.899711e-08
0.4338051.6365792.877203e-08
0.4359671.6362782.854582e-08
0.4381411.6359812.831849e-08
0.441.635732.812400e-08
0.4403251.6356862.802502e-08
0.442521.6353952.735618e-08
0.4447261.6351082.668400e-08
0.4469431.6348232.600847e-08
0.4491711.6345412.532958e-08
0.451411.6342632.464730e-08
0.4536611.6339872.396162e-08
0.4559221.6337152.327252e-08
0.4581951.6334452.257999e-08
0.461.6332342.203000e-08
0.4604791.6331792.196091e-08
0.4627751.6329152.162989e-08
0.4650821.6326542.129722e-08
0.46741.6323962.096289e-08
0.469731.632142.062690e-08
0.4720721.6318882.028923e-08
0.4744251.6316381.994987e-08
0.476791.631391.960883e-08
0.4791671.6311461.926608e-08
0.481.6310611.914600e-08
0.4815561.6309041.858656e-08
0.4839571.6306641.772341e-08
0.4863691.6304271.685596e-08
0.4887941.6301921.598419e-08
0.4912311.629961.510807e-08
0.4936791.629731.422759e-08
0.496141.6295031.334271e-08
0.4986141.6292781.245342e-08
0.51.6291531.195500e-08
0.5010991.6290551.188480e-08
0.5035971.6288351.172529e-08
0.5061081.6286171.156498e-08
0.5086311.6284011.140388e-08
0.5111671.6281871.124197e-08
0.5137151.6279761.107925e-08
0.5162761.6277661.091573e-08
0.5188491.6275591.075138e-08
0.5214361.6273541.058622e-08
0.5240351.6271511.042024e-08
0.5266481.626951.025343e-08
0.5292731.6267511.008578e-08
0.5319121.6265549.917305e-09
0.5345631.6263599.747986e-09
0.5372281.6261669.577823e-09
0.5399061.6259759.406812e-09
0.5425981.6257859.234948e-09
0.5453031.6255989.062228e-09
0.5480211.6254128.888646e-09
0.551.6252798.762300e-09
0.5507531.6252288.846408e-09
0.5534991.6250469.152964e-09
0.5562581.6248669.461048e-09
0.5590311.6246889.770667e-09
0.5618181.6245111.008183e-08
0.5646191.6243361.039454e-08
0.5674331.6241621.070882e-08
0.5702621.623991.102466e-08
0.5731051.623821.134207e-08
0.5759621.6236521.166107e-08
0.5788331.6234851.198166e-08
0.5817191.623321.230384e-08
0.5846191.6231561.262763e-08
0.5875331.6229931.295304e-08
0.5904621.6228331.328007e-08
0.5934061.6226731.360872e-08
0.5963641.6225161.393902e-08
0.5993371.6223591.427096e-08
0.61.6223251.434500e-08
0.6023251.6222041.440061e-08
0.6053271.6220511.447243e-08
0.6083451.6218991.454461e-08
0.6113781.6217481.461715e-08
0.6144261.6215991.469006e-08
0.6174891.6214511.476333e-08
0.6205671.6213041.483696e-08
0.623661.6211591.491096e-08
0.6267691.6210141.498532e-08
0.6298941.6208721.506006e-08
0.6330341.620731.513518e-08
0.636191.620591.521066e-08
0.6393611.620451.528652e-08
0.6425491.6203131.536276e-08
0.6457521.6201761.543938e-08
0.6489711.620041.551639e-08
0.651.6199971.554100e-08
0.6522061.6199061.534734e-08
0.6554581.6197721.506193e-08
0.6587251.619641.477511e-08
0.6620091.6195091.448685e-08
0.6653091.6193791.419716e-08
0.6686261.619251.390602e-08
0.6719591.6191231.361344e-08
0.6753091.6189961.331939e-08
0.6786751.618871.302388e-08
0.6820591.6187451.272689e-08
0.6854591.6186221.242843e-08
0.6888761.6184991.212847e-08
0.692311.6183771.182702e-08
0.6957611.6182561.152407e-08
0.699231.6181361.121961e-08
0.71.618111.115200e-08
0.7027161.6180171.119526e-08
0.7062191.6178991.125106e-08
0.7097391.6177821.130715e-08
0.7132771.6176661.136351e-08
0.7168331.6175511.142015e-08
0.7204071.6174361.147708e-08
0.7239981.6173231.153429e-08
0.7276071.617211.159179e-08
0.7312351.6170981.164957e-08
0.734881.6169871.170764e-08
0.7385431.6168761.176600e-08
0.7422251.6167671.182465e-08
0.7459251.6166581.188359e-08
0.7496441.616551.194283e-08
0.7533811.6164431.200236e-08
0.7571371.6163361.206219e-08
0.7609111.6162311.212231e-08
0.7647041.6161251.218274e-08
0.7685161.6160211.224347e-08
0.7723481.6159171.230450e-08
0.7761981.6158141.236583e-08
0.7800671.6157121.242747e-08
0.7839561.615611.248942e-08
0.7878641.6155091.255168e-08
0.7917921.6154091.261424e-08
0.7957391.6153091.267712e-08
0.7997061.615211.274031e-08
0.81.6152031.274500e-08
0.8036931.6151121.280382e-08
0.8076991.6150141.286765e-08
0.8117261.6149161.293179e-08
0.8157721.614821.299625e-08
0.8198391.6147231.306103e-08
0.8239261.6146281.312614e-08
0.8280331.6145331.319157e-08
0.8321611.6144381.325733e-08
0.836311.6143441.332341e-08
0.8404791.614251.338983e-08
0.8446691.6141571.345657e-08
0.8488791.6140651.352365e-08
0.8531111.6139731.359106e-08
0.8573641.6138811.365881e-08
0.8616381.613791.372690e-08
0.8659341.6136991.379532e-08
0.870251.6136091.386409e-08
0.8745891.6135191.393320e-08
0.8789491.6134291.400265e-08
0.883331.613341.407245e-08
0.8877341.6132521.414260e-08
0.8921591.6131641.421310e-08
0.8966071.6130761.428395e-08
0.91.6130091.433800e-08
0.9010771.6129881.435515e-08
0.9055691.6129011.442671e-08
0.9100831.6128141.449862e-08
0.914621.6127281.457089e-08
0.9191791.6126421.464353e-08
0.9237621.6125561.471652e-08
0.9283671.6124711.478988e-08
0.9329951.6123861.486361e-08
0.9376461.6123011.493770e-08
0.942321.6122161.501216e-08
0.9470181.6121321.508699e-08
0.9517391.6120481.516220e-08
0.9564831.6119641.523778e-08
0.9612521.6118811.531374e-08
0.9660441.6117971.539007e-08
0.9708591.6117141.546679e-08
0.9756991.6116321.554389e-08
0.9805631.6115491.562137e-08
0.9854521.6114671.569924e-08
0.9903641.6113851.577750e-08
0.9953011.6113031.585615e-08
11.6112251.593100e-08
1.000261.6112211.593519e-08
1.005251.6111391.601465e-08
1.010261.6110581.609450e-08
1.01531.6109771.617476e-08
1.020361.6108951.625541e-08
1.025451.6108141.633647e-08
1.030561.6107341.641793e-08
1.035691.6106531.649979e-08
1.040861.6105721.658207e-08
1.046051.6104921.666475e-08
1.051261.6104111.674785e-08
1.05651.6103311.683136e-08
1.061771.6102511.691528e-08
1.067061.6101711.699963e-08
1.072381.610091.708439e-08
1.077731.610011.716958e-08
1.08311.609931.725519e-08
1.08851.609851.734123e-08
1.093931.609771.742770e-08
1.099381.6096911.751460e-08
1.104861.6096111.760194e-08
1.110371.6095311.768970e-08
1.11591.6094511.777791e-08
1.121471.6093711.786655e-08
1.127061.6092911.795564e-08
1.132671.6092111.804517e-08
1.138321.6091311.813515e-08
1.1441.6090511.822558e-08
1.14971.6089711.831645e-08
1.155431.6088911.840778e-08
1.161191.6088111.849957e-08
1.166981.608731.859181e-08
1.17281.608651.868452e-08
1.178641.6085691.877768e-08
1.184521.6084891.887131e-08
1.190421.6084081.896541e-08
1.196361.6083271.905997e-08
1.21.6082781.911800e-08
1.202321.6082462.006558e-08
1.208321.6081652.251109e-08
1.214341.6080842.496879e-08
1.220391.6080032.743875e-08
1.226481.6079212.992101e-08
1.232591.6078393.241565e-08
1.238741.6077573.492273e-08
1.244911.6076753.744231e-08
1.251121.6075933.997444e-08
1.257351.607514.251920e-08
1.263621.6074284.507665e-08
1.269921.6073454.764684e-08
1.276251.6072625.022985e-08
1.282611.6071785.282573e-08
1.289011.6070945.543456e-08
1.295431.6070115.805639e-08
1.301891.6069266.069129e-08
1.308381.6068426.333932e-08
1.314911.6067576.600056e-08
1.321461.6066726.867506e-08
1.328051.6065877.136290e-08
1.334671.6065017.406414e-08
1.341321.6064157.677884e-08
1.348011.6063297.950707e-08
1.354731.6062428.224891e-08
1.361481.6061558.500441e-08
1.368271.6060688.777365e-08
1.375091.605989.055670e-08
1.381951.6058929.335361e-08
1.388831.6058039.616448e-08
1.395761.6057149.898935e-08
1.41.605661.007200e-07
1.402721.6056251.003927e-07
1.409711.6055359.955025e-08
1.416741.6054459.870356e-08
1.42381.6053559.785265e-08
1.43091.6052649.699750e-08
1.438031.6051729.613809e-08
1.44521.605089.527440e-08
1.45241.6049889.440640e-08
1.459641.6048959.353407e-08
1.466921.6048019.265739e-08
1.474231.6047089.177634e-08
1.481581.6046139.089090e-08
1.488971.6045189.000105e-08
1.496391.6044238.910676e-08
1.503851.6043278.820801e-08
1.511351.604238.730478e-08
1.518881.6041338.639705e-08
1.526451.6040358.548479e-08
1.534061.6039378.456799e-08
1.541711.6038388.364662e-08
1.54941.6037398.272065e-08
1.557121.6036398.179006e-08
1.564881.6035388.085484e-08
1.572681.6034367.991496e-08
1.580521.6033347.897039e-08
1.58841.6032327.802111e-08
1.596321.6031287.706709e-08
1.61.603087.662400e-08
1.604281.6030247.899533e-08
1.612281.602928.342623e-08
1.620321.6028148.787921e-08
1.628391.6027089.235439e-08
1.636511.6026019.685188e-08
1.644671.6024941.013718e-07
1.652871.6023851.059142e-07
1.661111.6022761.104793e-07
1.669391.6021661.150672e-07
1.677711.6020551.196779e-07
1.686071.6019441.243116e-07
1.694481.6018321.289684e-07
1.702931.6017181.336484e-07
1.711421.6016041.383517e-07
1.719951.601491.430785e-07
1.728521.6013741.478289e-07
1.737141.6012571.526029e-07
1.74581.601141.574008e-07
1.75451.6010221.622225e-07
1.763251.6009021.670683e-07
1.772041.6007821.719383e-07
1.780871.6006611.768325e-07
1.789751.6005391.817511e-07
1.798671.6004161.866943e-07
1.81.6003971.874300e-07
1.807641.6002921.969096e-07
1.816651.6001672.080927e-07
1.825711.6000412.193315e-07
1.834811.5999132.306264e-07
1.843951.5997852.419775e-07
1.853151.5996562.533853e-07
1.862391.5995262.648499e-07
1.871671.5993952.763716e-07
1.8811.5992622.879508e-07
1.890381.5991292.995878e-07
1.89981.5989943.112827e-07
1.909271.5988583.230359e-07
1.918791.5987213.348478e-07
1.928351.5985833.467185e-07
1.937971.5984443.586484e-07
1.947631.5983033.706378e-07
1.957341.5981613.826869e-07
1.96711.5980183.947961e-07
1.97691.5978744.069657e-07
1.986761.5977284.191959e-07
1.996661.5975824.314871e-07
21.5975324.356300e-07
2.006621.5974334.707661e-07
2.016621.5972845.238970e-07
2.026671.5971335.772927e-07
2.036771.5969816.309546e-07
2.046931.5968276.848840e-07
2.057131.5966737.390823e-07
2.067391.5965167.935507e-07
2.077691.5963588.482907e-07
2.088051.5961999.033036e-07
2.098461.5960399.585907e-07
2.108921.5958761.014153e-06
2.119441.5957131.069993e-06
2.131.5955481.126111e-06
2.140621.5953811.182509e-06
2.151291.5952121.239188e-06
2.162021.5950431.296150e-06
2.172791.5948711.353395e-06
2.183621.5946981.410926e-06
2.194511.5945231.468744e-06
2.21.5944351.497900e-06
2.205451.5943471.566757e-06
2.216451.5941691.705650e-06
2.227491.5939891.845236e-06
2.23861.5938071.985517e-06
2.249761.5936242.126498e-06
2.260971.5934392.268182e-06
2.272251.5932522.410572e-06
2.283571.5930632.553672e-06
2.294961.5928732.697486e-06
2.30641.592682.842016e-06
2.317891.5924862.987267e-06
2.329451.592293.133241e-06
2.341061.5920913.279944e-06
2.352731.5918913.427378e-06
2.364461.5916893.575547e-06
2.376251.5914853.724454e-06
2.38811.5912793.874104e-06
2.41.5910714.024500e-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
—