Optical constants

Refractive index of BSM9 (OHARA)

BSM9: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 310-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.61404
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.60514
Permittivity ε2
4.18376e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
54.971
Chromatic dispersion dn/dλ
-0.0574813 µm⁻¹
Group index ng
1.64782
Group velocity dispersion
103.277 fs²/mm
Dispersion parameter D
-563.431 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

# BSM9 (OHARA): BSM9
ohara_bsm9 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BSM9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bsm9.range_nm)  # (300, 2400) nm
eps = ohara_bsm9.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=1.095086λ2λ2−0.005354893+0.4642304λ2λ2−0.02206781+1.203056λ2λ2−133.3129

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.095086
C30.005354893
C40.4642304
C50.02206781
C61.203056
C7133.3129

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.615e-06 0.0 0.0 0.0 0.0 0.0
nd
1.614047
Vd
54.971106
glass code
614550
glass status
preferred
density
value: 3600
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0015
resistance
acid: 5.2; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.78e-06 K⁻¹ at 633 nm, dn/dT = 2.73e-06 K⁻¹ at 1310 nm, dn/dT = 2.72e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 310-2400 nm only; k = 0 elsewhere in the n range 300-2400 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
BSM9 (OHARA), BSM9: n and k versus wavelength
λ (µm)nk
0.31.666910
0.3015681.6660580
0.3031431.665220
0.3047271.6643940
0.306321.6635810
0.307921.6627790
0.3095291.6619890
0.311.6617618.650300e-06
0.3111471.6612118.075186e-06
0.3127721.6604447.259645e-06
0.3144071.6596886.439843e-06
0.3160491.6589435.615757e-06
0.3177011.6582094.787365e-06
0.3193611.6574853.954644e-06
0.321.657213.634100e-06
0.321031.6567713.421556e-06
0.3227071.6560683.075312e-06
0.3243931.6553752.727259e-06
0.3260881.6546912.377387e-06
0.3277921.6540172.025687e-06
0.3295051.6533521.672150e-06
0.331.6531631.570000e-06
0.3312271.6526971.468482e-06
0.3329581.6520511.325268e-06
0.3346971.6514131.181306e-06
0.3364461.6507851.036592e-06
0.3382041.6501658.911221e-07
0.3399711.6495537.448918e-07
0.341.6495437.425300e-07
0.3417481.648956.805394e-07
0.3435341.6483556.172073e-07
0.3453291.6477685.535442e-07
0.3471331.6471894.895485e-07
0.3489471.6466174.252184e-07
0.351.6462913.878700e-07
0.350771.6460543.747210e-07
0.3526031.6454983.434323e-07
0.3544461.6449493.119801e-07
0.3562981.6444072.803635e-07
0.3581591.6438732.485818e-07
0.361.6433542.171600e-07
0.3600311.6433462.169086e-07
0.3619121.6428252.015595e-07
0.3638031.6423111.861302e-07
0.3657041.6418051.706203e-07
0.3676151.6413041.550293e-07
0.3695361.640811.393569e-07
0.371.6406921.355700e-07
0.3714671.6403231.287379e-07
0.3734081.6398421.196969e-07
0.3753591.6393671.106087e-07
0.377321.6388981.014730e-07
0.3792921.6384359.228950e-08
0.381.638278.899100e-08
0.3812741.6379778.564222e-08
0.3832661.6375268.040440e-08
0.3852691.637087.513922e-08
0.3872821.636646.984653e-08
0.3893051.6362066.452618e-08
0.391.6360596.270000e-08
0.391341.6357776.031254e-08
0.3933841.6353535.666823e-08
0.395441.6349355.300487e-08
0.3975061.6345224.932236e-08
0.3995831.6341144.562062e-08
0.41.6340334.487800e-08
0.4016711.6337114.365282e-08
0.403771.6333134.211417e-08
0.405881.6329194.056748e-08
0.4080011.6325313.901271e-08
0.4101331.6321473.744981e-08
0.4122761.6317683.587875e-08
0.414431.6313943.429948e-08
0.4165951.6310243.271195e-08
0.4187721.6306593.111614e-08
0.421.6304563.021600e-08
0.420961.6302983.011555e-08
0.423161.6299422.988547e-08
0.4253711.6295892.965419e-08
0.4275941.6292412.942170e-08
0.4298281.6288972.918799e-08
0.4320741.6285572.895306e-08
0.4343321.6282222.871691e-08
0.4366011.627892.847952e-08
0.4388821.6275622.824089e-08
0.441.6274032.812400e-08
0.4411761.6272382.776575e-08
0.4434811.6269182.706334e-08
0.4457981.6266012.635726e-08
0.4481281.6262882.564749e-08
0.4504691.6259792.493402e-08
0.4528231.6256742.421681e-08
0.4551891.6253722.349586e-08
0.4575681.6250732.277114e-08
0.4599591.6247782.204263e-08
0.461.6247732.203000e-08
0.4623621.6244872.168941e-08
0.4647781.6241982.134103e-08
0.4672061.6239132.099083e-08
0.4696481.6236322.063880e-08
0.4721021.6233532.028493e-08
0.4745691.6230781.992921e-08
0.4770481.6228061.957163e-08
0.4795411.6225361.921218e-08
0.481.6224871.914600e-08
0.4820471.622271.841010e-08
0.4845661.6220071.750446e-08
0.4870981.6217471.659409e-08
0.4896431.621491.567896e-08
0.4922011.6212351.475905e-08
0.4947731.6209841.383434e-08
0.4973581.6207351.290479e-08
0.4999571.6204891.197039e-08
0.51.6204851.195500e-08
0.502571.6202461.179092e-08
0.5051961.6200051.162324e-08
0.5078351.6197671.145468e-08
0.5104891.6195321.128524e-08
0.5131561.6192991.111491e-08
0.5158381.6190691.094370e-08
0.5185331.6188411.077159e-08
0.5212431.6186161.059858e-08
0.5239661.6183931.042466e-08
0.5267041.6181721.024984e-08
0.5294561.6179541.007410e-08
0.5322231.6177389.897449e-09
0.5350041.6175259.719871e-09
0.5377991.6173149.541366e-09
0.5406091.6171059.361928e-09
0.5434341.6168989.181553e-09
0.5462741.6166949.000235e-09
0.5491281.6164918.817969e-09
0.551.616438.762300e-09
0.5519981.6162918.985330e-09
0.5548821.6160939.307375e-09
0.5577811.6158979.631104e-09
0.5606961.6157039.956524e-09
0.5636261.6155111.028364e-08
0.5665711.6153211.061247e-08
0.5695311.6151331.094302e-08
0.5725071.6149461.127530e-08
0.5754981.6147621.160931e-08
0.5785061.614581.194506e-08
0.5815281.6143991.228258e-08
0.5845671.614221.262185e-08
0.5876221.6140441.296290e-08
0.5906921.6138681.330573e-08
0.5937791.6136951.365035e-08
0.5968811.6135231.399677e-08
0.61.6133531.434500e-08
0.6031351.6131851.441999e-08
0.6062871.6130191.449538e-08
0.6094551.6128541.457116e-08
0.6126391.612691.464733e-08
0.615841.6125291.472390e-08
0.6190581.6123681.480087e-08
0.6222931.612211.487825e-08
0.6255451.6120531.495603e-08
0.6288131.6118971.503421e-08
0.6320991.6117431.511281e-08
0.6354021.611591.519181e-08
0.6387221.6114391.527123e-08
0.6420591.6112891.535106e-08
0.6454141.6111411.543131e-08
0.6487871.6109941.551198e-08
0.651.6109421.554100e-08
0.6521771.6108481.559303e-08
0.6555851.6107041.567447e-08
0.659011.6105611.575634e-08
0.6624541.610421.583864e-08
0.6659151.6102791.592137e-08
0.6693951.610141.600453e-08
0.6728921.6100021.608813e-08
0.6764091.6098661.617216e-08
0.6799431.609731.625664e-08
0.6834961.6095961.634155e-08
0.6870671.6094631.642691e-08
0.6906571.6093311.651271e-08
0.6942661.6092011.659896e-08
0.6978941.6090711.668566e-08
0.71.6089971.673600e-08
0.7015411.6089431.667452e-08
0.7052061.6088161.652822e-08
0.7088911.6086891.638116e-08
0.7125951.6085641.623332e-08
0.7163191.608441.608472e-08
0.7200621.6083171.593534e-08
0.7238241.6081951.578518e-08
0.7276061.6080741.563423e-08
0.7314081.6079541.548250e-08
0.735231.6078351.532997e-08
0.7390721.6077171.517665e-08
0.7429341.60761.502252e-08
0.7468161.6074831.486759e-08
0.7507181.6073681.471185e-08
0.7546411.6072541.455530e-08
0.7585841.607141.439792e-08
0.7625471.6070281.423973e-08
0.7665321.6069161.408071e-08
0.7705371.6068051.392086e-08
0.7745641.6066951.376017e-08
0.7786111.6065851.359864e-08
0.7826791.6064771.343627e-08
0.7867691.6063691.327305e-08
0.790881.6062621.310898e-08
0.7950121.6061561.294405e-08
0.7991671.6060511.277826e-08
0.81.606031.274500e-08
0.8033421.6059461.303823e-08
0.807541.6058421.340649e-08
0.811761.6057391.377668e-08
0.8160011.6056361.414880e-08
0.8202651.6055351.452286e-08
0.8245511.6054331.489888e-08
0.828861.6053331.527686e-08
0.8331911.6052331.565682e-08
0.8375441.6051341.603876e-08
0.8419211.6050351.642270e-08
0.846321.6049371.680865e-08
0.8507421.604841.719661e-08
0.8551871.6047431.758660e-08
0.8596561.6046471.797862e-08
0.8641481.6045521.837270e-08
0.8686631.6044561.876883e-08
0.8732021.6043621.916704e-08
0.8777651.6042681.956732e-08
0.8823511.6041751.996970e-08
0.8869621.6040822.037418e-08
0.8915971.6039892.078077e-08
0.8962551.6038972.118948e-08
0.91.6038242.151800e-08
0.9009391.6038062.161539e-08
0.9056461.6037152.210390e-08
0.9103781.6036242.259496e-08
0.9151351.6035342.308859e-08
0.9199171.6034452.358480e-08
0.9247241.6033552.408360e-08
0.9295561.6032672.458500e-08
0.9344131.6031782.508903e-08
0.9392951.603092.559569e-08
0.9442041.6030022.610500e-08
0.9491371.6029152.661697e-08
0.9540971.6028282.713161e-08
0.9590821.6027422.764894e-08
0.9640931.6026562.816898e-08
0.9691311.602572.869173e-08
0.9741951.6024842.921722e-08
0.9792851.6023992.974545e-08
0.9844021.6023143.027644e-08
0.9895461.6022293.081021e-08
0.9947171.6021453.134676e-08
0.9999141.6020613.188612e-08
11.602063.189500e-08
1.005141.6019773.205891e-08
1.010391.6018943.222643e-08
1.015671.601813.239482e-08
1.020981.6017273.256409e-08
1.026311.6016443.273425e-08
1.031681.6015623.290529e-08
1.037071.6014793.307723e-08
1.042491.6013973.325007e-08
1.047931.6013153.342380e-08
1.053411.6012333.359845e-08
1.058911.6011523.377401e-08
1.064451.601073.395049e-08
1.070011.6009893.412789e-08
1.07561.6009073.430621e-08
1.081221.6008263.448547e-08
1.086871.6007453.466567e-08
1.092551.6006643.484680e-08
1.098261.6005833.502889e-08
1.1041.6005033.521192e-08
1.109761.6004223.539591e-08
1.115561.6003423.558086e-08
1.121391.6002613.576678e-08
1.127251.6001813.595367e-08
1.133141.60013.614154e-08
1.139061.600023.633039e-08
1.145011.5999393.652022e-08
1.1511.5998593.671105e-08
1.157011.5997793.690287e-08
1.163061.5996993.709570e-08
1.169131.5996183.728953e-08
1.175241.5995383.748438e-08
1.181381.5994573.768024e-08
1.187561.5993773.787713e-08
1.193761.5992973.807505e-08
1.21.5992163.827400e-08
1.21.5992163.827400e-08
1.206271.5991354.058447e-08
1.212571.5990554.290702e-08
1.218911.5989744.524170e-08
1.225281.5988934.758859e-08
1.231681.5988124.994773e-08
1.238121.5987315.231920e-08
1.244591.598655.470307e-08
1.251091.5985695.709939e-08
1.257631.5984875.950823e-08
1.26421.5984056.192966e-08
1.27081.5983246.436374e-08
1.277441.5982426.681054e-08
1.284121.598166.927012e-08
1.290831.5980777.174256e-08
1.297571.5979957.422792e-08
1.304351.5979127.672626e-08
1.311171.5978297.923766e-08
1.318021.5977468.176217e-08
1.324911.5976628.429988e-08
1.331831.5975798.685086e-08
1.338791.5974958.941516e-08
1.345781.5974119.199285e-08
1.352821.5973269.458402e-08
1.359891.5972419.718873e-08
1.366991.5971569.980705e-08
1.374131.5970711.024390e-07
1.381311.5969851.050848e-07
1.388531.5968991.077444e-07
1.395791.5968131.104178e-07
1.41.5967631.119700e-07
1.403081.5967261.116229e-07
1.410411.5966391.107970e-07
1.417781.5965521.099668e-07
1.425191.5964641.091323e-07
1.432641.5963761.082934e-07
1.440121.5962871.074501e-07
1.447651.5961981.066024e-07
1.455211.5961091.057503e-07
1.462821.5960191.048937e-07
1.470461.5959281.040327e-07
1.478141.5958381.031671e-07
1.485871.5957461.022971e-07
1.493631.5956551.014225e-07
1.501441.5955631.005433e-07
1.509281.595479.965949e-08
1.517171.5953779.877109e-08
1.525091.5952839.787805e-08
1.533061.5951899.698035e-08
1.541071.5950949.607795e-08
1.549131.5949999.517084e-08
1.557221.5949039.425899e-08
1.565361.5948069.334237e-08
1.573541.5947099.242097e-08
1.581761.5946129.149474e-08
1.590021.5945139.056368e-08
1.598331.5944148.962776e-08
1.61.5943958.944000e-08
1.606681.5943159.271528e-08
1.615081.5942159.682856e-08
1.623521.5941141.009633e-07
1.6321.5940121.051197e-07
1.640531.593911.092978e-07
1.64911.5938071.134977e-07
1.657721.5937041.177196e-07
1.666381.5935991.219636e-07
1.675091.5934941.262297e-07
1.683841.5933891.305181e-07
1.692641.5932821.348289e-07
1.701481.5931751.391622e-07
1.710371.5930671.435182e-07
1.719311.5929581.478969e-07
1.72831.5928481.522985e-07
1.737331.5927381.567232e-07
1.74641.5926261.611709e-07
1.755531.5925141.656419e-07
1.76471.5924011.701362e-07
1.773921.5922871.746541e-07
1.783191.5921721.791955e-07
1.792511.5920561.837606e-07
1.81.5919631.874300e-07
1.801881.5919391.940890e-07
1.811291.5918222.274907e-07
1.820761.5917032.610669e-07
1.830271.5915842.948185e-07
1.839831.5914633.287465e-07
1.849451.5913423.628517e-07
1.859111.5912193.971352e-07
1.868831.5910954.315978e-07
1.878591.5909714.662405e-07
1.888411.5908455.010642e-07
1.898271.5907185.360698e-07
1.908191.590595.712584e-07
1.918161.5904616.066309e-07
1.928191.5903316.421881e-07
1.938261.59026.779312e-07
1.948391.5900687.138610e-07
1.958571.5899347.499786e-07
1.96881.5897997.862849e-07
1.979091.5896638.227809e-07
1.989431.5895268.594676e-07
1.999831.5893888.963460e-07
2.010281.5892489.334171e-07
2.020781.5891079.706819e-07
2.031341.5889651.008141e-06
2.041961.5888211.045797e-06
2.052631.5886761.083649e-06
2.063351.588531.121699e-06
2.074131.5883821.159947e-06
2.084971.5882331.198396e-06
2.095861.5880821.237045e-06
2.106821.587931.275896e-06
2.117821.5877771.314951e-06
2.128891.5876221.354209e-06
2.140011.5874661.393673e-06
2.15121.5873081.433342e-06
2.162441.5871481.473219e-06
2.173741.5869871.513305e-06
2.18511.5868251.553600e-06
2.196511.5866611.594105e-06
2.207991.5864951.634822e-06
2.219531.5863271.675752e-06
2.231121.5861581.716896e-06
2.242781.5859871.758254e-06
2.25451.5858151.799829e-06
2.266281.5856411.841621e-06
2.278121.5854651.883632e-06
2.290031.5852871.925861e-06
2.301991.5851071.968312e-06
2.314021.5849262.010984e-06
2.326111.5847422.053880e-06
2.338271.5845572.096999e-06
2.350491.584372.140344e-06
2.362771.5841812.183915e-06
2.375111.583992.227714e-06
2.387521.5837972.271742e-06
2.41.5836012.316000e-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
—