Optical constants

Refractive index of S-BAH11 (OHARA)

S-BAH11: n,k 0.34–2.4 µm

Data
formula 2 + tabulated k
Range
0.34–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.34–2.4 µm
Refractive index n
1.66672
Extinction coefficient k
2.12588e-08
Permittivity ε1
2.77794
Permittivity ε2
7.08648e-08
Absorption coefficient α
0.00454639 cm⁻¹
Penetration depth δ = λ/(2πk)
4.39909e+09 nm
Abbe number Vd
48.325
Chromatic dispersion dn/dλ
-0.0706775 µm⁻¹
Group index ng
1.70825
Group velocity dispersion
130.26 fs²/mm
Dispersion parameter D
-710.639 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-BAH11 (OHARA): S-BAH11
ohara_s_bah11 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAH11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bah11.range_nm)  # (340, 2400) nm
eps = ohara_s_bah11.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=1.5713886λ2λ2−0.00910807936+0.147869313λ2λ2−0.0402401684+1.28092846λ2λ2−130.399367

Valid from 0.34 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.5713886
C30.00910807936
C40.147869313
C50.0402401684
C61.28092846
C7130.399367

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.98e-06 1.09e-08 -3.44e-11 5.52e-07 7.15e-10 0.244
nd
1.666718
Vd
48.325247
glass code
667483
density
value: 3590
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8.2e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 52.2; climatic: 3.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.44e-06 K⁻¹ at 633 nm, dn/dT = 1.72e-06 K⁻¹ at 1310 nm, dn/dT = 1.67e-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 424 wavelengths, the same grid as the API and the library
S-BAH11 (OHARA), S-BAH11: n and k versus wavelength
λ (µm)nk
0.341.7121568.709100e-06
0.3416691.7113957.864007e-06
0.3433471.7106447.014765e-06
0.3450331.7099056.161353e-06
0.3467271.7091765.303751e-06
0.3484291.7084584.441939e-06
0.351.7078083.646800e-06
0.350141.7077513.618987e-06
0.3518591.7070533.277611e-06
0.3535871.7063652.934559e-06
0.3553231.7056872.589822e-06
0.3570681.7050192.243393e-06
0.3588211.704361.895263e-06
0.361.7039231.661100e-06
0.3605831.703711.613677e-06
0.3623531.7030681.469552e-06
0.3641321.7024361.324720e-06
0.365921.7018121.179176e-06
0.3677171.7011971.032918e-06
0.3695221.700598.859420e-07
0.371.7004328.470400e-07
0.3713361.6999927.947897e-07
0.373161.6994017.235081e-07
0.3749921.6988186.518765e-07
0.3768331.6982435.798932e-07
0.3786831.6976765.075565e-07
0.381.6972784.560800e-07
0.3805431.6971164.450078e-07
0.3824111.6965634.068840e-07
0.3842891.6960183.685730e-07
0.3861761.6954793.300739e-07
0.3880721.6949482.913858e-07
0.3899771.6944232.525077e-07
0.391.6944172.520400e-07
0.3918921.6939052.339804e-07
0.3938161.6933942.156123e-07
0.395751.6928891.971540e-07
0.3976931.6923911.786050e-07
0.3996451.6918981.599650e-07
0.41.691811.565800e-07
0.4016081.6914121.507956e-07
0.403581.6909331.437007e-07
0.4055611.6904591.365710e-07
0.4075521.6899911.294062e-07
0.4095531.6895281.222063e-07
0.4115641.6890721.149710e-07
0.4135851.6886211.077002e-07
0.4156161.6881751.003937e-07
0.4176561.6877359.305132e-08
0.4197071.6873018.567289e-08
0.421.6872398.461900e-08
0.4217681.6868718.276100e-08
0.4238391.6864478.058453e-08
0.425921.6860287.839737e-08
0.4280111.6856147.619947e-08
0.4301121.6852057.399077e-08
0.4322241.68487.177124e-08
0.4343471.6844016.954080e-08
0.4364791.6840066.729942e-08
0.4386221.6836166.504703e-08
0.441.6833696.359900e-08
0.4407761.683236.298995e-08
0.442941.6828496.129106e-08
0.4451151.6824735.958383e-08
0.44731.6821015.786822e-08
0.4494971.6817335.614418e-08
0.4517041.6813695.441168e-08
0.4539211.6810095.267068e-08
0.456151.6806545.092112e-08
0.458391.6803034.916297e-08
0.461.6800544.789900e-08
0.4606411.6799564.747094e-08
0.4629021.6796124.595943e-08
0.4651751.6792734.444050e-08
0.4674591.6789374.291411e-08
0.4697541.6786054.138023e-08
0.4720611.6782773.983881e-08
0.4743791.6779533.828983e-08
0.4767081.6776323.673324e-08
0.4790481.6773153.516901e-08
0.481.6771873.453300e-08
0.48141.6770013.379161e-08
0.4837641.6766913.254029e-08
0.4861391.6763843.128283e-08
0.4885261.6760813.001919e-08
0.4909251.6757812.874935e-08
0.4933351.6754842.747328e-08
0.4957581.6751912.619094e-08
0.4981921.67492.490230e-08
0.51.6746882.394500e-08
0.5006381.6746132.380729e-08
0.5030961.6743292.327659e-08
0.5055661.6740482.274328e-08
0.5080481.673772.220735e-08
0.5105431.6734952.166878e-08
0.513051.6732232.112758e-08
0.5155691.6729542.058371e-08
0.51811.6726882.003718e-08
0.5206441.6724241.948796e-08
0.52321.6721631.893605e-08
0.5257691.6719061.838143e-08
0.5283511.671651.782408e-08
0.5309451.6713981.726400e-08
0.5335521.6711481.670116e-08
0.5361721.6709011.613557e-08
0.5388041.6706561.556719e-08
0.541451.6704141.499603e-08
0.5441081.6701741.442206e-08
0.546781.6699371.384527e-08
0.5494641.6697021.326566e-08
0.551.6696561.315000e-08
0.5521621.669471.361629e-08
0.5548731.669241.420096e-08
0.5575981.6690121.478851e-08
0.5603351.6687871.537894e-08
0.5630871.6685641.597227e-08
0.5658511.6683431.656851e-08
0.568631.6681241.716768e-08
0.5714221.6679081.776979e-08
0.5742271.6676941.837486e-08
0.5770471.6674821.898290e-08
0.579881.6672721.959392e-08
0.5827271.6670642.020794e-08
0.5855881.6668582.082498e-08
0.5884641.6666542.144505e-08
0.5913531.6664522.206816e-08
0.5942561.6662532.269434e-08
0.5971741.6660552.332358e-08
0.61.6658662.393300e-08
0.6001061.6658592.393724e-08
0.6030531.6656652.405481e-08
0.6060141.6654722.417295e-08
0.6089891.6652822.429167e-08
0.6119791.6650942.441098e-08
0.6149841.6649072.453087e-08
0.6180041.6647222.465135e-08
0.6210381.6645392.477242e-08
0.6240871.6643572.489408e-08
0.6271521.6641772.501635e-08
0.6302311.6639992.513921e-08
0.6333251.6638232.526268e-08
0.6364351.6636482.538675e-08
0.639561.6634752.551143e-08
0.64271.6633032.563673e-08
0.6458561.6631332.576264e-08
0.6490271.6629652.588916e-08
0.651.6629142.592800e-08
0.6522131.6627982.576855e-08
0.6554161.6626332.553785e-08
0.6586341.6624692.530602e-08
0.6618681.6623062.507306e-08
0.6651171.6621452.483895e-08
0.6683831.6619862.460368e-08
0.6716651.6618282.436727e-08
0.6749631.6616712.412969e-08
0.6782771.6615162.389095e-08
0.6816071.6613622.365103e-08
0.6849541.6612092.340994e-08
0.6883171.6610582.316766e-08
0.6916961.6609082.292420e-08
0.6950931.6607592.267953e-08
0.6985051.6606122.243367e-08
0.71.6605482.232600e-08
0.7019351.6604652.226410e-08
0.7053821.660322.215385e-08
0.7088451.6601772.204305e-08
0.7123251.6600342.193171e-08
0.7158231.6598932.181983e-08
0.7193371.6597532.170740e-08
0.7228691.6596142.159441e-08
0.7264191.6594762.148087e-08
0.7299851.6593392.136677e-08
0.7335691.6592032.125211e-08
0.7371711.6590692.113689e-08
0.7407911.6589352.102110e-08
0.7444281.6588032.090475e-08
0.7480831.6586712.078782e-08
0.7517561.6585412.067032e-08
0.7554471.6584122.055224e-08
0.7591561.6582832.043358e-08
0.7628841.6581562.031434e-08
0.766631.658032.019452e-08
0.7703941.6579042.007410e-08
0.7741761.657781.995310e-08
0.7779781.6576561.983150e-08
0.7817971.6575341.970930e-08
0.7856361.6574121.958651e-08
0.7894931.6572911.946311e-08
0.793371.6571711.933910e-08
0.7972651.6570521.921449e-08
0.81.6569691.912700e-08
0.801181.6569341.915521e-08
0.8051131.6568161.924926e-08
0.8090671.65671.934378e-08
0.8130391.6565841.943876e-08
0.8170311.6564691.953421e-08
0.8210431.6563551.963013e-08
0.8250741.6562411.972652e-08
0.8291251.6561291.982338e-08
0.8331961.6560171.992071e-08
0.8372871.6559062.001853e-08
0.8413981.6557952.011682e-08
0.8455291.6556852.021560e-08
0.8496811.6555762.031486e-08
0.8538531.6554682.041461e-08
0.8580451.655362.051485e-08
0.8622581.6552532.061559e-08
0.8664921.6551472.071681e-08
0.8707461.6550412.081854e-08
0.8750211.6549362.092076e-08
0.8793181.6548312.102348e-08
0.8836351.6547272.112671e-08
0.8879741.6546242.123045e-08
0.8923341.6545212.133469e-08
0.8967151.6544192.143945e-08
0.91.6543432.151800e-08
0.9011181.6543182.154472e-08
0.9055421.6542172.165051e-08
0.9099881.6541162.175682e-08
0.9144561.6540162.186365e-08
0.9189461.6539172.197100e-08
0.9234581.6538182.207889e-08
0.9279921.6537192.218730e-08
0.9325491.6536212.229624e-08
0.9371281.6535242.240572e-08
0.9417291.6534272.251574e-08
0.9463531.653332.262629e-08
0.9509991.6532342.273739e-08
0.9556691.6531392.284903e-08
0.9603611.6530432.296123e-08
0.9650761.6529492.307397e-08
0.9698151.6528542.318727e-08
0.9745761.652762.330112e-08
0.9793621.6526672.341553e-08
0.984171.6525732.353051e-08
0.9890021.652482.364605e-08
0.9938581.6523882.376215e-08
0.9987381.6522962.387883e-08
11.6522722.390900e-08
1.003641.6522042.382176e-08
1.008571.6521122.370371e-08
1.013521.6520212.358509e-08
1.01851.651932.346588e-08
1.02351.651842.334608e-08
1.028521.6517492.322570e-08
1.033571.6516592.310473e-08
1.038651.6515692.298316e-08
1.043751.651482.286100e-08
1.048871.6513912.273824e-08
1.054021.6513022.261487e-08
1.05921.6512132.249090e-08
1.06441.6511242.236632e-08
1.069631.6510362.224112e-08
1.074881.6509482.211532e-08
1.080151.650862.198889e-08
1.085461.6507722.186185e-08
1.090791.6506852.173418e-08
1.096141.6505972.160588e-08
1.101531.650512.147695e-08
1.106931.6504232.134739e-08
1.112371.6503362.121720e-08
1.117831.6502492.108636e-08
1.123321.6501632.095489e-08
1.128831.6500762.082277e-08
1.134381.649992.068999e-08
1.139951.6499032.055657e-08
1.145541.6498172.042249e-08
1.151171.6497312.028776e-08
1.156821.6496452.015236e-08
1.16251.6495592.001629e-08
1.168211.6494731.987956e-08
1.173941.6493871.974216e-08
1.179711.6493011.960408e-08
1.18551.6492151.946533e-08
1.191321.6491291.932589e-08
1.197171.6490431.918577e-08
1.21.6490021.911800e-08
1.203051.6489581.984864e-08
1.208961.6488722.126417e-08
1.214891.6487862.268665e-08
1.220861.64872.411612e-08
1.226851.6486142.555261e-08
1.232871.6485282.699615e-08
1.238931.6484422.844678e-08
1.245011.6483562.990453e-08
1.251121.648273.136943e-08
1.257271.6481843.284153e-08
1.263441.6480973.432086e-08
1.269641.6480113.580745e-08
1.275881.6479243.730134e-08
1.282141.6478383.880257e-08
1.288441.6477514.031116e-08
1.294761.6476644.182717e-08
1.301121.6475774.335061e-08
1.307511.647494.488154e-08
1.313931.6474024.641999e-08
1.320381.6473154.796598e-08
1.326861.6472274.951957e-08
1.333381.6471395.108079e-08
1.339931.6470515.264967e-08
1.34651.6469635.422626e-08
1.353121.6468745.581058e-08
1.359761.6467865.740269e-08
1.366441.6466975.900261e-08
1.373141.6466086.061039e-08
1.379891.6465186.222606e-08
1.386661.6464286.384966e-08
1.393471.6463386.548124e-08
1.41.6462526.704600e-08
1.400311.6462486.704097e-08
1.407191.6461586.693013e-08
1.41411.6460676.681876e-08
1.421041.6459766.670683e-08
1.428021.6458846.659436e-08
1.435031.6457926.648134e-08
1.442071.64576.636775e-08
1.449161.6456086.625362e-08
1.456271.6455156.613892e-08
1.463421.6454226.602366e-08
1.470611.6453286.590783e-08
1.477831.6452346.579143e-08
1.485081.645146.567447e-08
1.492371.6450456.555692e-08
1.49971.644956.543880e-08
1.507071.6448546.532010e-08
1.514471.6447586.520082e-08
1.52191.6446626.508096e-08
1.529371.6445656.496050e-08
1.536881.6444676.483945e-08
1.544431.644376.471781e-08
1.552011.6442716.459557e-08
1.559631.6441726.447273e-08
1.567291.6440736.434929e-08
1.574991.6439736.422524e-08
1.582721.6438736.410058e-08
1.590491.6437726.397531e-08
1.59831.643676.384943e-08
1.61.6436486.382200e-08
1.606151.6435686.717495e-08
1.614031.6434667.147713e-08
1.621961.6433627.580044e-08
1.629921.6432598.014498e-08
1.637921.6431548.451085e-08
1.645971.6430498.889815e-08
1.654051.6429449.330700e-08
1.662171.6428379.773749e-08
1.670331.642731.021897e-07
1.678531.6426231.066638e-07
1.686771.6425141.111599e-07
1.695051.6424051.156781e-07
1.703381.6422961.202184e-07
1.711741.6421851.247810e-07
1.720151.6420741.293661e-07
1.728591.6419631.339736e-07
1.737081.641851.386038e-07
1.745611.6417371.432567e-07
1.754181.6416231.479324e-07
1.762791.6415081.526311e-07
1.771451.6413921.573529e-07
1.780141.6412761.620978e-07
1.788881.6411581.668661e-07
1.797671.641041.716578e-07
1.81.6410091.729300e-07
1.806491.6409211.798693e-07
1.815361.6408011.893466e-07
1.824281.6406811.988706e-07
1.833231.6405592.084413e-07
1.842241.6404362.180589e-07
1.851281.6403132.277238e-07
1.860371.6401892.374362e-07
1.869511.6400632.471962e-07
1.878681.6399372.570042e-07
1.887911.639812.668603e-07
1.897181.6396822.767648e-07
1.906491.6395532.867180e-07
1.915851.6394222.967200e-07
1.925261.6392913.067711e-07
1.934711.6391593.168716e-07
1.944211.6390263.270216e-07
1.953761.6388913.372215e-07
1.963351.6387563.474715e-07
1.972991.6386193.577718e-07
1.982681.6384813.681227e-07
1.992411.6383433.785244e-07
21.6382343.866300e-07
2.00221.6382033.951012e-07
2.012031.6380614.330118e-07
2.021911.6379194.711086e-07
2.031831.6377765.093924e-07
2.041811.6376315.478642e-07
2.051841.6374855.865248e-07
2.061911.6373386.253753e-07
2.072031.6371896.644165e-07
2.082211.6370397.036495e-07
2.092431.6368887.430750e-07
2.10271.6367367.826942e-07
2.113031.6365828.225079e-07
2.12341.6364278.625170e-07
2.133831.636279.027226e-07
2.144311.6361139.431256e-07
2.154831.6359539.837270e-07
2.165411.6357931.024528e-06
2.176051.635631.065529e-06
2.186731.6354671.106731e-06
2.197471.6353021.148136e-06
2.21.6352631.157900e-06
2.208261.6351351.247576e-06
2.21911.6349671.365325e-06
2.231.6347971.483653e-06
2.240941.6346261.602561e-06
2.251951.6344531.722053e-06
2.2631.6342791.842131e-06
2.274121.6341021.962799e-06
2.285281.6339252.084060e-06
2.29651.6337452.205916e-06
2.307781.6335642.328370e-06
2.319111.6333812.451426e-06
2.33051.6331972.575086e-06
2.341941.633012.699353e-06
2.353441.6328222.824230e-06
2.364991.6326322.949720e-06
2.37661.632443.075827e-06
2.388271.6322473.202552e-06
2.41.6320513.329900e-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
—