Optical constants

Refractive index of S-BSM9 (OHARA)

S-BSM9: 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
1.61404
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.60514
Permittivity ε2
5.69829e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
54.99
Chromatic dispersion dn/dλ
-0.0574763 µm⁻¹
Group index ng
1.64782
Group velocity dispersion
102.897 fs²/mm
Dispersion parameter D
-561.355 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-BSM9 (OHARA): S-BSM9
ohara_s_bsm9 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BSM9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bsm9.range_nm)  # (330, 2400) nm
eps = ohara_s_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=1.37020077λ2λ2−0.00757631457+0.189397267λ2λ2−0.0300787515+1.24202324λ2λ2−131.350111

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.37020077
C30.00757631457
C40.189397267
C50.0300787515
C61.24202324
C7131.350111

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.78e-06 1.36e-08 -3.52e-11 4.7e-07 3.85e-10 0.22
nd
1.614047
Vd
54.990097
glass code
614550
glass status
special
density
value: 3220
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0017
resistance
acid: 4.2; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.04e-06 K⁻¹ at 633 nm, dn/dT = 1.49e-06 K⁻¹ at 1310 nm, dn/dT = 1.44e-06 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-BSM9 (OHARA), S-BSM9: n and k versus wavelength
λ (µm)nk
0.331.6532699.208400e-06
0.3316451.6526388.260133e-06
0.3332981.6520177.307138e-06
0.334961.6514036.349393e-06
0.336631.6507995.386873e-06
0.3383081.6502024.419555e-06
0.3399941.6496133.447414e-06
0.341.6496113.444200e-06
0.3416891.6490323.102716e-06
0.3433931.6484592.758396e-06
0.3451051.6478942.412361e-06
0.3468251.6473362.064600e-06
0.3485541.6467851.715105e-06
0.351.6463321.422800e-06
0.3502921.6462411.399957e-06
0.3520381.6457051.263131e-06
0.3537931.6451761.125623e-06
0.3555561.6446539.874290e-07
0.3573291.6441378.485465e-07
0.359111.6436287.089717e-07
0.361.6433776.392600e-07
0.3609011.6431256.084534e-07
0.36271.6426295.469047e-07
0.3645081.6421394.850493e-07
0.3663251.6416554.228855e-07
0.3681511.6411783.604118e-07
0.3699861.6407062.976266e-07
0.371.6407032.971600e-07
0.3718311.640242.729038e-07
0.3736841.639782.483450e-07
0.3755471.6393262.236639e-07
0.3774191.6388781.988596e-07
0.3793011.6384351.739318e-07
0.381.6382721.646700e-07
0.3811921.6379971.566922e-07
0.3830921.6375651.439720e-07
0.3850021.6371381.311884e-07
0.3869211.6367161.183411e-07
0.388851.63631.054297e-07
0.391.6360559.773200e-08
0.3907891.6358889.509642e-08
0.3927371.6354828.858477e-08
0.3946941.635088.204066e-08
0.3966621.6346837.546393e-08
0.398641.6342916.885441e-08
0.41.6340256.430700e-08
0.4006271.6339046.366225e-08
0.4026241.6335216.160785e-08
0.4046311.6331435.954320e-08
0.4066481.6327695.746827e-08
0.4086751.63245.538299e-08
0.4107131.6320355.328731e-08
0.412761.6316745.118119e-08
0.4148181.6313174.906457e-08
0.4168861.6309654.693739e-08
0.4189641.6306174.479962e-08
0.421.6304454.373400e-08
0.4210531.6302734.347057e-08
0.4231521.6299324.294529e-08
0.4252611.6295964.241740e-08
0.4273811.6292644.188687e-08
0.4295121.6289354.135370e-08
0.4316531.628614.081787e-08
0.4338051.6282894.027937e-08
0.4359671.6279723.973818e-08
0.4381411.6276583.919430e-08
0.441.6273933.872900e-08
0.4403251.6273473.863747e-08
0.442521.627043.801901e-08
0.4447261.6267373.739746e-08
0.4469431.6264373.677281e-08
0.4491711.626143.614505e-08
0.451411.6258473.551416e-08
0.4536611.6255573.488013e-08
0.4559221.625273.424293e-08
0.4581951.6249863.360256e-08
0.461.6247643.309400e-08
0.4604791.6247063.294398e-08
0.4627751.6244293.222524e-08
0.4650821.6241543.150292e-08
0.46741.6238833.077699e-08
0.469731.6236143.004745e-08
0.4720721.6233492.931427e-08
0.4744251.6230862.857744e-08
0.476791.6228262.783694e-08
0.4791671.622572.709274e-08
0.481.622482.683200e-08
0.4815561.6223152.629613e-08
0.4839571.6220642.546935e-08
0.4863691.6218152.463846e-08
0.4887941.6215692.380342e-08
0.4912311.6213262.296421e-08
0.4936791.6210852.212083e-08
0.496141.6208462.127324e-08
0.4986141.6206112.042142e-08
0.51.620481.994400e-08
0.5010991.6203771.979461e-08
0.5035971.6201461.945518e-08
0.5061081.6199181.911405e-08
0.5086311.6196921.877122e-08
0.5111671.6194681.842668e-08
0.5137151.6192471.808043e-08
0.5162761.6190281.773245e-08
0.5188491.6188111.738273e-08
0.5214361.6185971.703127e-08
0.5240351.6183841.667806e-08
0.5266481.6181741.632309e-08
0.5292731.6179661.596635e-08
0.5319121.617761.560783e-08
0.5345631.6175561.524752e-08
0.5372281.6173551.488542e-08
0.5399061.6171551.452151e-08
0.5425981.6169571.415579e-08
0.5453031.6167621.378824e-08
0.5480211.6165681.341886e-08
0.551.6164291.315000e-08
0.5507531.6163761.324020e-08
0.5534991.6161861.356896e-08
0.5562581.6159981.389935e-08
0.5590311.6158121.423139e-08
0.5618181.6156281.456509e-08
0.5646191.6154451.490045e-08
0.5674331.6152651.523748e-08
0.5702621.6150861.557620e-08
0.5731051.6149091.591660e-08
0.5759621.6147331.625870e-08
0.5788331.614561.660250e-08
0.5817191.6143871.694802e-08
0.5846191.6142171.729526e-08
0.5875331.6140481.764423e-08
0.5904621.6138811.799494e-08
0.5934061.6137151.834740e-08
0.5963641.6135511.870162e-08
0.5993371.6133891.905760e-08
0.61.6133531.913700e-08
0.6023251.6132281.945274e-08
0.6053271.6130691.986056e-08
0.6083451.6129112.027042e-08
0.6113781.6127542.068232e-08
0.6144261.6125992.109627e-08
0.6174891.6124462.151229e-08
0.6205671.6122932.193038e-08
0.623661.6121432.235055e-08
0.6267691.6119932.277282e-08
0.6298941.6118452.319720e-08
0.6330341.6116982.362369e-08
0.636191.6115532.405230e-08
0.6393611.6114092.448306e-08
0.6425491.6112662.491596e-08
0.6457521.6111242.535102e-08
0.6489711.6109842.578824e-08
0.651.610942.592800e-08
0.6522061.6108452.576906e-08
0.6554581.6107072.553484e-08
0.6587251.610572.529944e-08
0.6620091.6104352.506287e-08
0.6653091.6103012.482513e-08
0.6686261.6101682.458619e-08
0.6719591.6100352.434607e-08
0.6753091.6099052.410475e-08
0.6786751.6097752.386223e-08
0.6820591.6096462.361849e-08
0.6854591.6095182.337355e-08
0.6888761.6093922.312738e-08
0.692311.6092662.287998e-08
0.6957611.6091422.263135e-08
0.699231.6090182.238148e-08
0.71.6089912.232600e-08
0.7027161.6088962.206582e-08
0.7062191.6087742.173019e-08
0.7097391.6086542.139288e-08
0.7132771.6085342.105389e-08
0.7168331.6084162.071321e-08
0.7204071.6082982.037083e-08
0.7239981.6081812.002674e-08
0.7276071.6080651.968094e-08
0.7312351.607951.933342e-08
0.734881.6078361.898416e-08
0.7385431.6077231.863316e-08
0.7422251.6076111.828041e-08
0.7459251.6074991.792591e-08
0.7496441.6073881.756963e-08
0.7533811.6072781.721158e-08
0.7571371.6071691.685175e-08
0.7609111.6070611.649012e-08
0.7647041.6069531.612669e-08
0.7685161.6068471.576144e-08
0.7723481.6067411.539438e-08
0.7761981.6066351.502549e-08
0.7800671.6065311.465475e-08
0.7839561.6064271.428217e-08
0.7878641.6063241.390773e-08
0.7917921.6062211.353143e-08
0.7957391.606121.315325e-08
0.7997061.6060191.277318e-08
0.81.6060111.274500e-08
0.8036931.6059181.306894e-08
0.8076991.6058181.342044e-08
0.8117261.6057191.377368e-08
0.8157721.6056211.412869e-08
0.8198391.6055231.448546e-08
0.8239261.6054261.484402e-08
0.8280331.6053291.520436e-08
0.8321611.6052331.556649e-08
0.836311.6051371.593044e-08
0.8404791.6050421.629619e-08
0.8446691.6049481.666378e-08
0.8488791.6048541.703319e-08
0.8531111.6047611.740444e-08
0.8573641.6046681.777755e-08
0.8616381.6045751.815251e-08
0.8659341.6044841.852935e-08
0.870251.6043921.890806e-08
0.8745891.6043011.928866e-08
0.8789491.6042111.967116e-08
0.883331.6041212.005557e-08
0.8877341.6040322.044189e-08
0.8921591.6039432.083014e-08
0.8966071.6038542.122032e-08
0.91.6037872.151800e-08
0.9010771.6037662.171578e-08
0.9055691.6036782.254100e-08
0.9100831.6035912.337034e-08
0.914621.6035042.420381e-08
0.9191791.6034172.504144e-08
0.9237621.6033312.588324e-08
0.9283671.6032452.672925e-08
0.9329951.603162.757946e-08
0.9376461.6030752.843392e-08
0.942321.602992.929263e-08
0.9470181.6029053.015563e-08
0.9517391.6028213.102293e-08
0.9564831.6027373.189455e-08
0.9612521.6026543.277052e-08
0.9660441.6025713.365085e-08
0.9708591.6024883.453558e-08
0.9756991.6024053.542471e-08
0.9805631.6023233.631828e-08
0.9854521.6022413.721630e-08
0.9903641.6021593.811879e-08
0.9953011.6020773.902579e-08
11.6023.988900e-08
1.000261.6019963.988688e-08
1.005251.6019143.984661e-08
1.010261.6018333.980614e-08
1.01531.6017533.976548e-08
1.020361.6016723.972461e-08
1.025451.6015923.968353e-08
1.030561.6015113.964225e-08
1.035691.6014313.960077e-08
1.040861.6013523.955907e-08
1.046051.6012723.951717e-08
1.051261.6011923.947507e-08
1.05651.6011133.943275e-08
1.061771.6010333.939022e-08
1.067061.6009543.934748e-08
1.072381.6008753.930452e-08
1.077731.6007963.926135e-08
1.08311.6007173.921797e-08
1.08851.6006393.917437e-08
1.093931.600563.913055e-08
1.099381.6004813.908652e-08
1.104861.6004033.904226e-08
1.110371.6003243.899778e-08
1.11591.6002463.895309e-08
1.121471.6001673.890817e-08
1.127061.6000893.886302e-08
1.132671.6000113.881765e-08
1.138321.5999323.877205e-08
1.1441.5998543.872623e-08
1.14971.5997753.868018e-08
1.155431.5996973.863390e-08
1.161191.5996193.858739e-08
1.166981.599543.854064e-08
1.17281.5994623.849367e-08
1.178641.5993833.844646e-08
1.184521.5993053.839901e-08
1.190421.5992263.835133e-08
1.196361.5991473.830341e-08
1.21.5990993.827400e-08
1.202321.5990693.886867e-08
1.208321.598994.040340e-08
1.214341.5989114.194578e-08
1.220391.5988324.349585e-08
1.226481.5987534.505365e-08
1.232591.5986734.661921e-08
1.238741.5985944.819258e-08
1.244911.5985144.977379e-08
1.251121.5984355.136289e-08
1.257351.5983555.295990e-08
1.263621.5982755.456488e-08
1.269921.5981955.617786e-08
1.276251.5981145.779888e-08
1.282611.5980345.942798e-08
1.289011.5979536.106520e-08
1.295431.5978726.271058e-08
1.301891.5977916.436417e-08
1.308381.597716.602599e-08
1.314911.5976286.769611e-08
1.321461.5975466.937455e-08
1.328051.5974647.106135e-08
1.334671.5973827.275657e-08
1.341321.5972997.446023e-08
1.348011.5972167.617239e-08
1.354731.5971337.789309e-08
1.361481.5970497.962236e-08
1.368271.5969668.136025e-08
1.375091.5968828.310681e-08
1.381951.5967978.486207e-08
1.388831.5967128.662609e-08
1.395761.5966278.839890e-08
1.41.5965758.948500e-08
1.402721.5965428.931032e-08
1.409711.5964568.886066e-08
1.416741.596378.840874e-08
1.42381.5962848.795458e-08
1.43091.5961978.749816e-08
1.438031.5961098.703945e-08
1.44521.5960228.657846e-08
1.45241.5959348.611518e-08
1.459641.5958458.564958e-08
1.466921.5957568.518166e-08
1.474231.5956678.471141e-08
1.481581.5955778.423882e-08
1.488971.5954878.376387e-08
1.496391.5953968.328655e-08
1.503851.5953058.280685e-08
1.511351.5952138.232476e-08
1.518881.5951218.184027e-08
1.526451.5950288.135336e-08
1.534061.5949358.086403e-08
1.541711.5948418.037225e-08
1.54941.5947477.987803e-08
1.557121.5946527.938134e-08
1.564881.5945567.888217e-08
1.572681.594467.838052e-08
1.580521.5943647.787636e-08
1.58841.5942667.736969e-08
1.596321.5941697.686050e-08
1.61.5941237.662400e-08
1.604281.594077.837492e-08
1.612281.5939718.164657e-08
1.620321.5938728.493453e-08
1.628391.5937718.823887e-08
1.636511.593679.155969e-08
1.644671.5935699.489706e-08
1.652871.5934669.825107e-08
1.661111.5933631.016218e-07
1.669391.593261.050093e-07
1.677711.5931551.084138e-07
1.686071.593051.118352e-07
1.694481.5929441.152736e-07
1.702931.5928381.187292e-07
1.711421.592731.222020e-07
1.719951.5926221.256921e-07
1.728521.5925131.291997e-07
1.737141.5924031.327247e-07
1.74581.5922931.362673e-07
1.75451.5921811.398275e-07
1.763251.5920691.434055e-07
1.772041.5919561.470014e-07
1.780871.5918421.506151e-07
1.789751.5917271.542469e-07
1.798671.5916121.578968e-07
1.81.5915941.584400e-07
1.807641.5914951.646693e-07
1.816651.5913781.720181e-07
1.825711.5912591.794035e-07
1.834811.591141.868257e-07
1.843951.5910191.942849e-07
1.853151.5908982.017813e-07
1.862391.5907762.093150e-07
1.871671.5906522.168863e-07
1.8811.5905282.244954e-07
1.890381.5904032.321424e-07
1.89981.5902772.398275e-07
1.909271.5901492.475509e-07
1.918791.5900212.553128e-07
1.928351.5898912.631135e-07
1.937971.589762.709530e-07
1.947631.5896292.788316e-07
1.957341.5894962.867494e-07
1.96711.5893622.947068e-07
1.97691.5892263.027038e-07
1.986761.589093.107406e-07
1.996661.5889523.188176e-07
21.5889063.215400e-07
2.006621.5888143.467363e-07
2.016621.5886743.848368e-07
2.026671.5885324.231271e-07
2.036771.588394.616084e-07
2.046931.5882465.002815e-07
2.057131.5881015.391474e-07
2.067391.5879545.782070e-07
2.077691.5878076.174614e-07
2.088051.5876586.569115e-07
2.098461.5875076.965582e-07
2.108921.5873557.364025e-07
2.119441.5872027.764455e-07
2.131.5870478.166881e-07
2.140621.5868918.571314e-07
2.151291.5867348.977762e-07
2.162021.5865759.386237e-07
2.172791.5864149.796748e-07
2.183621.5862521.020930e-06
2.194511.5860881.062392e-06
2.21.5860061.083300e-06
2.205451.5859231.120312e-06
2.216451.5857561.194970e-06
2.227491.5855881.270000e-06
2.23861.5854181.345405e-06
2.249761.5852461.421185e-06
2.260971.5850731.497343e-06
2.272251.5848981.573880e-06
2.283571.5847221.650800e-06
2.294961.5845431.728102e-06
2.30641.5843631.805790e-06
2.317891.5841811.883866e-06
2.329451.5839971.962330e-06
2.341061.5838122.041186e-06
2.352731.5836252.120434e-06
2.364461.5834352.200078e-06
2.376251.5832442.280119e-06
2.38811.5830512.360559e-06
2.41.5828562.441400e-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
—