Optical constants

Refractive index of S-BSM2 (OHARA)

S-BSM2: 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
1.60738
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.58366
Permittivity ε2
4.51629e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
56.816
Chromatic dispersion dn/dλ
-0.0550804 µm⁻¹
Group index ng
1.63974
Group velocity dispersion
98.2276 fs²/mm
Dispersion parameter D
-535.884 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-BSM2 (OHARA): S-BSM2
ohara_s_bsm2 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BSM2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bsm2.range_nm)  # (310, 2400) nm
eps = ohara_s_bsm2.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=0.867168676λ2λ2−0.00369311003+0.672848343λ2λ2−0.0181652804+1.18456107λ2λ2−132.376147

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.867168676
C30.00369311003
C40.672848343
C50.0181652804
C61.18456107
C7132.376147

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.43e-06 1.37e-08 -3.45e-11 5.05e-07 5.49e-10 0.203
nd
1.607379
Vd
56.816076
glass code
607568
density
value: 3530
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0013
resistance
acid: 5.2; climatic: 2.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.37e-06 K⁻¹ at 633 nm, dn/dT = 1.80e-06 K⁻¹ at 1310 nm, dn/dT = 1.75e-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 427 wavelengths, the same grid as the API and the library
S-BSM2 (OHARA), S-BSM2: n and k versus wavelength
λ (µm)nk
0.311.6524667.940600e-06
0.3115941.6517567.206241e-06
0.3131971.6510566.468104e-06
0.3148071.6503655.726172e-06
0.3164261.6496844.980425e-06
0.3180531.6490124.230842e-06
0.3196891.6483493.477405e-06
0.321.6482253.334200e-06
0.3213331.6476963.086499e-06
0.3229861.6470512.779465e-06
0.3246471.6464142.470852e-06
0.3263161.6457872.160651e-06
0.3279941.6451671.848856e-06
0.3296811.6445561.535457e-06
0.331.6444421.476200e-06
0.3313761.6439531.370342e-06
0.3330811.6433581.239286e-06
0.3347941.642771.107556e-06
0.3365151.6421919.751492e-07
0.3382461.6416188.420612e-07
0.3399851.6410547.082887e-07
0.341.6410497.071600e-07
0.3417341.6404976.462848e-07
0.3434911.6399475.845786e-07
0.3452581.6394045.225551e-07
0.3470331.6388684.602126e-07
0.3488181.6383393.975495e-07
0.351.6379933.560400e-07
0.3506121.6378163.449186e-07
0.3524151.6373013.121334e-07
0.3542271.6367922.791797e-07
0.3560491.6362892.460564e-07
0.357881.6357932.127629e-07
0.359721.6353031.792981e-07
0.361.6352291.742100e-07
0.361571.6348191.623705e-07
0.363431.6343421.483491e-07
0.3652981.633871.342557e-07
0.3671771.6334041.200898e-07
0.3690651.6329441.058510e-07
0.371.6327199.880300e-08
0.3709631.632499.487320e-08
0.3728711.6320418.709062e-08
0.3747891.6315987.926803e-08
0.3767161.631167.140520e-08
0.3786531.6307286.350194e-08
0.381.6304325.800800e-08
0.3806011.6303015.696315e-08
0.3825581.6298795.355786e-08
0.3845251.6294625.013506e-08
0.3865031.6290514.669466e-08
0.388491.6286444.323656e-08
0.391.628344.061000e-08
0.3904881.6282424.003239e-08
0.3924961.6278463.765637e-08
0.3945151.6274543.526812e-08
0.3965441.6270663.286759e-08
0.3985831.6266833.045472e-08
0.41.6264212.877800e-08
0.4006331.6263052.882349e-08
0.4026931.6259322.897162e-08
0.4047641.6255632.912052e-08
0.4068451.6251982.927019e-08
0.4089381.6248372.942062e-08
0.4110411.6244812.957183e-08
0.4131551.6241292.972381e-08
0.4152791.6237812.987658e-08
0.4174151.6234373.003013e-08
0.4195611.6230973.018447e-08
0.421.6230293.021600e-08
0.4217191.6227623.064354e-08
0.4238881.622433.118291e-08
0.4260681.6221023.172505e-08
0.4282591.6217773.226998e-08
0.4304611.6214573.281771e-08
0.4326751.621143.336826e-08
0.43491.6208273.392164e-08
0.4371371.6205173.447786e-08
0.4393851.6202113.503695e-08
0.441.6201283.519000e-08
0.4416441.6199093.501769e-08
0.4439151.6196093.477967e-08
0.4461981.6193143.454042e-08
0.4484931.6190213.429994e-08
0.4507991.6187323.405823e-08
0.4531181.6184473.381527e-08
0.4554481.6181643.357106e-08
0.457791.6178853.332560e-08
0.461.6176253.309400e-08
0.4601441.6176083.304881e-08
0.4625111.6173353.230791e-08
0.4648891.6170653.156319e-08
0.467281.6167983.081465e-08
0.4696831.6165343.006225e-08
0.4720981.6162722.930599e-08
0.4745261.6160142.854584e-08
0.4769671.6157582.778178e-08
0.4794191.6155062.701378e-08
0.481.6154472.683200e-08
0.4818851.6152562.618285e-08
0.4843631.6150092.532937e-08
0.4868541.6147642.447150e-08
0.4893581.6145222.360923e-08
0.4918741.6142832.274251e-08
0.4944041.6140462.187134e-08
0.4969461.6138122.099570e-08
0.4995021.6135812.011554e-08
0.51.6135361.994400e-08
0.5020711.6133521.966264e-08
0.5046531.6131251.931180e-08
0.5072481.6129011.895916e-08
0.5098561.6126791.860470e-08
0.5124781.612461.824843e-08
0.5151141.6122431.789032e-08
0.5177631.6120281.753036e-08
0.5204261.6118151.716856e-08
0.5231021.6116051.680490e-08
0.5257921.6113971.643937e-08
0.5284961.6111911.607195e-08
0.5312141.6109871.570265e-08
0.5339461.6107851.533145e-08
0.5366921.6105861.495834e-08
0.5394521.6103881.458331e-08
0.5422261.6101931.420635e-08
0.5450141.6099991.382745e-08
0.5478171.6098081.344660e-08
0.551.6096611.315000e-08
0.5506341.6096181.316516e-08
0.5534661.6094311.323284e-08
0.5563121.6092451.330087e-08
0.5591731.6090611.336924e-08
0.5620491.6088791.343797e-08
0.5649391.6086991.350705e-08
0.5678451.6085211.357649e-08
0.5707651.6083451.364628e-08
0.57371.608171.371643e-08
0.576651.6079971.378694e-08
0.5796161.6078251.385782e-08
0.5825971.6076561.392906e-08
0.5855931.6074881.400067e-08
0.5886041.6073221.407264e-08
0.5916311.6071571.414498e-08
0.5946741.6069941.421770e-08
0.5977321.6068321.429079e-08
0.61.6067141.434500e-08
0.6008061.6066721.444793e-08
0.6038961.6065141.484261e-08
0.6070011.6063571.523932e-08
0.6101231.6062021.563807e-08
0.613261.6060481.603888e-08
0.6164141.6058961.644174e-08
0.6195841.6057451.684667e-08
0.622771.6055951.725369e-08
0.6259731.6054471.766280e-08
0.6291921.60531.807401e-08
0.6324281.6051551.848734e-08
0.635681.6050111.890280e-08
0.6389491.6048681.932039e-08
0.6422351.6047261.974013e-08
0.6455381.6045862.016202e-08
0.6488581.6044472.058609e-08
0.651.60442.073200e-08
0.6521951.604312.031152e-08
0.6555491.6041731.966889e-08
0.658921.6040381.902296e-08
0.6623081.6039041.837371e-08
0.6657141.6037721.772112e-08
0.6691381.603641.706517e-08
0.6725791.6035091.640585e-08
0.6760381.603381.574314e-08
0.6795151.6032521.507702e-08
0.6830091.6031251.440747e-08
0.6865211.6029991.373449e-08
0.6900521.6028741.305804e-08
0.6936011.602751.237811e-08
0.6971681.6026271.169469e-08
0.71.6025311.115200e-08
0.7007531.6025061.111599e-08
0.7043571.6023851.094364e-08
0.7079791.6022651.077040e-08
0.711621.6021461.059628e-08
0.7152791.6020281.042125e-08
0.7189581.6019121.024533e-08
0.7226551.6017961.006850e-08
0.7263711.6016819.890760e-09
0.7301071.6015679.712108e-09
0.7338621.6014539.532537e-09
0.7376361.6013419.352043e-09
0.7414291.601239.170621e-09
0.7452421.6011198.988265e-09
0.7490741.6010098.804972e-09
0.7529271.6009018.620736e-09
0.7567991.6007938.435552e-09
0.760691.6006858.249417e-09
0.7646021.6005798.062324e-09
0.7685351.6004737.874269e-09
0.7724871.6003687.685246e-09
0.7764591.6002647.495252e-09
0.7804521.6001617.304281e-09
0.7844661.6000587.112327e-09
0.78851.5999566.919387e-09
0.7925551.5998556.725454e-09
0.7966311.5997546.530524e-09
0.81.5996726.369400e-09
0.8007281.5996546.427397e-09
0.8048461.5995556.755532e-09
0.8089851.5994577.085354e-09
0.8131451.5993597.416873e-09
0.8173271.5992627.750096e-09
0.821531.5991658.085033e-09
0.8257551.5990698.421692e-09
0.8300011.5989748.760083e-09
0.834271.5988799.100214e-09
0.838561.5987859.442094e-09
0.8428721.5986919.785733e-09
0.8472071.5985981.013114e-08
0.8515641.5985051.047832e-08
0.8559431.5984131.082729e-08
0.8603451.5983221.117805e-08
0.8647691.5982311.153061e-08
0.8692171.598141.188499e-08
0.8736871.598051.224119e-08
0.878181.5979611.259923e-08
0.8826961.5978721.295910e-08
0.8872351.5977831.332083e-08
0.8917981.5976951.368441e-08
0.8963841.5976081.404987e-08
0.91.5975391.433800e-08
0.9009941.5975211.435383e-08
0.9056271.5974341.442764e-08
0.9102851.5973471.450184e-08
0.9149661.5972611.457641e-08
0.9196711.5971761.465136e-08
0.9244011.5970911.472671e-08
0.9291551.5970061.480243e-08
0.9339331.5969221.487855e-08
0.9387361.5968371.495506e-08
0.9435631.5967541.503197e-08
0.9484161.596671.510926e-08
0.9532931.5965871.518696e-08
0.9581961.5965051.526506e-08
0.9631231.5964221.534355e-08
0.9680761.596341.542245e-08
0.9730551.5962581.550176e-08
0.9780591.5961771.558148e-08
0.9830891.5960951.566160e-08
0.9881441.5960141.574214e-08
0.9932261.5959341.582309e-08
0.9983341.5958531.590446e-08
11.5958271.593100e-08
1.003471.5957731.598626e-08
1.008631.5956931.606849e-08
1.013821.5956131.615115e-08
1.019031.5955331.623423e-08
1.024271.5954541.631773e-08
1.029541.5953751.640167e-08
1.034831.5952951.648604e-08
1.040151.5952171.657084e-08
1.04551.5951381.665608e-08
1.050881.5950591.674175e-08
1.056281.5949811.682787e-08
1.061721.5949031.691443e-08
1.067181.5948241.700144e-08
1.072661.5947461.708889e-08
1.078181.5946681.717679e-08
1.083721.5945911.726515e-08
1.08931.5945131.735396e-08
1.09491.5944351.744322e-08
1.100531.5943581.753295e-08
1.106191.594281.762313e-08
1.111881.5942031.771378e-08
1.11761.5941251.780490e-08
1.123341.5940481.789648e-08
1.129121.5939711.798854e-08
1.134931.5938931.808107e-08
1.140761.5938161.817407e-08
1.146631.5937391.826755e-08
1.152531.5936611.836152e-08
1.158451.5935841.845597e-08
1.164411.5935071.855090e-08
1.17041.593431.864632e-08
1.176421.5933521.874223e-08
1.182471.5932751.883864e-08
1.188551.5931971.893554e-08
1.194661.593121.903294e-08
1.21.5930521.911800e-08
1.200811.5930421.931103e-08
1.206981.5929642.079088e-08
1.213191.5928872.227834e-08
1.219431.5928092.377345e-08
1.22571.5927312.527625e-08
1.2321.5926532.678677e-08
1.238341.5925742.830507e-08
1.244711.5924962.983117e-08
1.251111.5924183.136512e-08
1.257541.5923393.290696e-08
1.264011.592263.445672e-08
1.270511.5921813.601446e-08
1.277041.5921023.758021e-08
1.283611.5920233.915401e-08
1.290211.5919434.073590e-08
1.296841.5918634.232593e-08
1.303511.5917834.392414e-08
1.310221.5917034.553056e-08
1.316961.5916234.714525e-08
1.323731.5915424.876824e-08
1.330541.5914615.039958e-08
1.337381.591385.203930e-08
1.344261.5912995.368746e-08
1.351171.5912175.534410e-08
1.358121.5911355.700925e-08
1.36511.5910535.868297e-08
1.372121.590976.036529e-08
1.379181.5908876.205627e-08
1.386271.5908046.375594e-08
1.39341.590726.546435e-08
1.41.5906436.704600e-08
1.400571.5906376.696457e-08
1.407771.5905526.592772e-08
1.415011.5904686.488554e-08
1.422281.5903836.383800e-08
1.42961.5902976.278507e-08
1.436951.5902126.172673e-08
1.444341.5901256.066295e-08
1.451771.5900395.959369e-08
1.459231.5899525.851894e-08
1.466741.5898645.743865e-08
1.474281.5897775.635282e-08
1.481861.5896885.526139e-08
1.489481.5895995.416436e-08
1.497141.589515.306168e-08
1.504841.5894215.195334e-08
1.512581.589335.083929e-08
1.520361.589244.971952e-08
1.528181.5891484.859398e-08
1.536041.5890574.746266e-08
1.543941.5889644.632552e-08
1.551881.5888714.518253e-08
1.559861.5887784.403366e-08
1.567881.5886844.287889e-08
1.575941.588594.171818e-08
1.584051.5884944.055149e-08
1.592191.5883993.937881e-08
1.61.5883073.825500e-08
1.600381.5883023.840144e-08
1.608611.5882054.156162e-08
1.616881.5881084.473805e-08
1.62521.588014.793081e-08
1.633561.5879115.114000e-08
1.641961.5878115.436569e-08
1.65041.5877115.760797e-08
1.658891.587616.086692e-08
1.667421.5875086.414263e-08
1.6761.5874066.743519e-08
1.684611.5873037.074468e-08
1.693281.5871997.407119e-08
1.701991.5870947.741480e-08
1.710741.5869898.077562e-08
1.719541.5868838.415371e-08
1.728381.5867768.754918e-08
1.737271.5866689.096211e-08
1.74621.586569.439259e-08
1.755181.586459.784071e-08
1.764211.586341.013066e-07
1.773281.5862291.047902e-07
1.78241.5861171.082918e-07
1.791571.5860041.118114e-07
1.81.58591.150500e-07
1.800781.5858911.156018e-07
1.810041.5857761.221612e-07
1.819351.5856611.287543e-07
1.82871.5855441.353813e-07
1.838111.5854271.420424e-07
1.847561.5853081.487378e-07
1.857061.5851891.554676e-07
1.866611.5850681.622320e-07
1.876211.5849471.690312e-07
1.885861.5848251.758653e-07
1.895561.5847011.827346e-07
1.905311.5845771.896392e-07
1.915111.5844511.965794e-07
1.924951.5843242.035552e-07
1.934851.5841972.105669e-07
1.94481.5840682.176146e-07
1.954811.5839382.246986e-07
1.964861.5838072.318191e-07
1.974961.5836742.389761e-07
1.985121.5835412.461700e-07
1.995331.5834062.534008e-07
21.5833442.567100e-07
2.005591.583272.741167e-07
2.01591.5831333.062382e-07
2.026271.5829943.385248e-07
2.036691.5828553.709774e-07
2.047161.5827144.035970e-07
2.057691.5825724.363843e-07
2.068271.5824284.693402e-07
2.078911.5822835.024655e-07
2.08961.5821375.357613e-07
2.100351.5819895.692282e-07
2.111151.581846.028673e-07
2.122011.5816896.366794e-07
2.132921.5815376.706653e-07
2.143891.5813847.048261e-07
2.154911.5812297.391625e-07
2.165991.5810737.736754e-07
2.177131.5809158.083659e-07
2.188331.5807558.432348e-07
2.199581.5805948.782830e-07
2.21.5805888.795800e-07
2.21091.5804329.529056e-07
2.222261.5802681.029426e-06
2.233691.5801021.106339e-06
2.245181.5799341.183648e-06
2.256731.5797651.261355e-06
2.268331.5795951.339461e-06
2.281.5794221.417969e-06
2.291721.5792481.496881e-06
2.303511.5790721.576198e-06
2.315351.5788941.655924e-06
2.327261.5787141.736059e-06
2.339231.5785331.816606e-06
2.351261.578351.897568e-06
2.363351.5781651.978946e-06
2.37551.5779782.060743e-06
2.387721.5777892.142960e-06
2.41.5775982.225600e-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
—