Optical constants

Refractive index of S-BAL2 (OHARA)

S-BAL2: 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
1.57099
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.468
Permittivity ε2
2.94131e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
50.8
Chromatic dispersion dn/dλ
-0.0576466 µm⁻¹
Group index ng
1.60486
Group velocity dispersion
105.291 fs²/mm
Dispersion parameter D
-574.416 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-BAL2 (OHARA): S-BAL2
ohara_s_bal2 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal2.range_nm)  # (340, 2400) nm
eps = ohara_s_bal2.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=1.30923813λ2λ2−0.00838873953+0.114137353λ2λ2−0.0399436485+1.17882259λ2λ2−140.257892

Valid from 0.34 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.30923813
C30.00838873953
C40.114137353
C50.0399436485
C61.17882259
C7140.257892

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -4.92e-06 1.14e-08 -3.59e-11 5.24e-07 7.01e-10 0.247
nd
1.570989
Vd
50.799858
glass code
571508
density
value: 2890
thermal expansion
value: 9.1e-06, temperature range: 243 343; value: 1.09e-05, temperature range: 293 573
dPgF
-0.0005
resistance
acid: 1.0; climatic: 3.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -1.57e-06 K⁻¹ at 633 nm, dn/dT = -2.10e-06 K⁻¹ at 1310 nm, dn/dT = -2.13e-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-BAL2 (OHARA), S-BAL2: n and k versus wavelength
λ (µm)nk
0.341.6078266.230000e-06
0.3416691.6072115.541028e-06
0.3433471.6066044.848674e-06
0.3450331.6060074.152919e-06
0.3467271.6054183.453749e-06
0.3484291.6048372.751146e-06
0.351.6043122.102900e-06
0.350141.6042652.084458e-06
0.3518591.6037011.858094e-06
0.3535871.6031451.630619e-06
0.3553231.6025971.402028e-06
0.3570681.6020561.172314e-06
0.3588211.6015239.414715e-07
0.361.601177.862000e-07
0.3605831.6009977.603885e-07
0.3623531.6004796.819437e-07
0.3641321.5999676.031137e-07
0.365921.5994635.238966e-07
0.3677171.5989654.442906e-07
0.3695221.5984743.642938e-07
0.371.5983453.431200e-07
0.3713361.5979893.192709e-07
0.373161.5975112.867350e-07
0.3749921.597042.540395e-07
0.3768331.5965742.211834e-07
0.3786831.5961151.881660e-07
0.381.5957931.646700e-07
0.3805431.5956621.606904e-07
0.3824111.5952141.469877e-07
0.3842891.5947731.332178e-07
0.3861761.5943371.193803e-07
0.3880721.5939071.054748e-07
0.3899771.5934829.150111e-08
0.391.5934779.133300e-08
0.3918921.5930628.437951e-08
0.3938161.5926487.730722e-08
0.395751.592247.020021e-08
0.3976931.5918366.305829e-08
0.3996451.5914375.588132e-08
0.41.5913665.457800e-08
0.4016081.5910445.234884e-08
0.403581.5906554.961464e-08
0.4055611.5902714.686701e-08
0.4075521.5898924.410589e-08
0.4095531.5895174.133121e-08
0.4115641.5891473.854292e-08
0.4135851.5887823.574093e-08
0.4156161.5884213.292518e-08
0.4176561.5880643.009561e-08
0.4197071.5877122.725214e-08
0.421.5876622.684600e-08
0.4217681.5873642.664712e-08
0.4238391.587022.641415e-08
0.425921.586682.618003e-08
0.4280111.5863452.594477e-08
0.4301121.5860132.570834e-08
0.4322241.5856852.547076e-08
0.4343471.5853612.523202e-08
0.4364791.5850412.499210e-08
0.4386221.5847242.475100e-08
0.441.5845242.459600e-08
0.4407761.5844122.435366e-08
0.442941.5841032.367768e-08
0.4451151.5837972.299837e-08
0.44731.5834952.231573e-08
0.4494971.5831972.162974e-08
0.4517041.5829022.094038e-08
0.4539211.582612.024764e-08
0.456151.5823221.955150e-08
0.458391.5820371.885193e-08
0.461.5818341.834900e-08
0.4606411.5817551.825167e-08
0.4629021.5814761.790800e-08
0.4651751.58121.756265e-08
0.4674591.5809281.721560e-08
0.4697541.5806591.686684e-08
0.4720611.5803921.651637e-08
0.4743791.5801291.616418e-08
0.4767081.5798681.581026e-08
0.4790481.5796111.545461e-08
0.481.5795071.531000e-08
0.48141.5793561.507508e-08
0.4837641.5791041.467857e-08
0.4861391.5788551.428012e-08
0.4885261.5786081.387972e-08
0.4909251.5783651.347735e-08
0.4933351.5781241.307300e-08
0.4957581.5778851.266667e-08
0.4981921.5776491.225834e-08
0.51.5774761.195500e-08
0.5006381.5774161.191427e-08
0.5030961.5771851.175731e-08
0.5055661.5769561.159958e-08
0.5080481.576731.144108e-08
0.5105431.5765071.128179e-08
0.513051.5762861.112173e-08
0.5155691.5760671.096088e-08
0.51811.575851.079923e-08
0.5206441.5756361.063680e-08
0.52321.5754241.047357e-08
0.5257691.5752141.030953e-08
0.5283511.5750071.014469e-08
0.5309451.5748019.979045e-09
0.5335521.5745989.812583e-09
0.5361721.5743969.645304e-09
0.5388041.5741979.477203e-09
0.541451.5749.308277e-09
0.5441081.5738059.138521e-09
0.546781.5736128.967932e-09
0.5494641.5734218.796506e-09
0.551.5733838.762300e-09
0.5521621.5732328.796747e-09
0.5548731.5730448.839941e-09
0.5575981.5728598.883346e-09
0.5603351.5726758.926964e-09
0.5630871.5724948.970797e-09
0.5658511.5723149.014844e-09
0.568631.5721369.059108e-09
0.5714221.5719599.103589e-09
0.5742271.5717859.148289e-09
0.5770471.5716129.193208e-09
0.579881.5714419.238348e-09
0.5827271.5712719.283709e-09
0.5855881.5711039.329293e-09
0.5884641.5709379.375101e-09
0.5913531.5707729.421134e-09
0.5942561.5706099.467393e-09
0.5971741.5704489.513879e-09
0.61.5702949.558900e-09
0.6001061.5702889.560592e-09
0.6030531.570139.607506e-09
0.6060141.5699739.654651e-09
0.6089891.5698179.702026e-09
0.6119791.5696639.749635e-09
0.6149841.5695119.797477e-09
0.6180041.569369.845554e-09
0.6210381.569219.893868e-09
0.6240871.5690629.942418e-09
0.6271521.5689159.991207e-09
0.6302311.5687691.004024e-08
0.6333251.5686251.008950e-08
0.6364351.5684821.013902e-08
0.639561.5683411.018877e-08
0.64271.56821.023877e-08
0.6458561.5680611.028901e-08
0.6490271.5679231.033950e-08
0.651.5678821.035500e-08
0.6522131.5677871.039028e-08
0.6554161.5676521.044133e-08
0.6586341.5675171.049262e-08
0.6618681.5673841.054417e-08
0.6651171.5672531.059597e-08
0.6683831.5671221.064803e-08
0.6716651.5669921.070034e-08
0.6749631.5668641.075290e-08
0.6782771.5667371.080573e-08
0.6816071.5666111.085882e-08
0.6849541.5664851.091216e-08
0.6883171.5663611.096577e-08
0.6916961.5662381.101964e-08
0.6950931.5661161.107378e-08
0.6985051.5659951.112818e-08
0.71.5659431.115200e-08
0.7019351.5658751.118283e-08
0.7053821.5657561.123773e-08
0.7088451.5656381.129290e-08
0.7123251.5655211.134834e-08
0.7158231.5654051.140406e-08
0.7193371.565291.146005e-08
0.7228691.5651761.151631e-08
0.7264191.5650621.157285e-08
0.7299851.564951.162967e-08
0.7335691.5648381.168676e-08
0.7371711.5647281.174414e-08
0.7407911.5646181.180180e-08
0.7444281.5645091.185974e-08
0.7480831.5644011.191796e-08
0.7517561.5642931.197648e-08
0.7554471.5641871.203527e-08
0.7591561.5640811.209436e-08
0.7628841.5639761.215374e-08
0.766631.5638721.221341e-08
0.7703941.5637691.227337e-08
0.7741761.5636661.233363e-08
0.7779781.5635641.239418e-08
0.7817971.5634631.245503e-08
0.7856361.5633621.251618e-08
0.7894931.5632621.257763e-08
0.793371.5631631.263938e-08
0.7972651.5630651.270143e-08
0.81.5629971.274500e-08
0.801181.5629671.276379e-08
0.8051131.562871.282646e-08
0.8090671.5627741.288943e-08
0.8130391.5626781.295271e-08
0.8170311.5625831.301630e-08
0.8210431.5624881.308021e-08
0.8250741.5623941.314443e-08
0.8291251.5623011.320896e-08
0.8331961.5622081.327381e-08
0.8372871.5621161.333898e-08
0.8413981.5620241.340447e-08
0.8455291.5619331.347028e-08
0.8496811.5618431.353641e-08
0.8538531.5617531.360287e-08
0.8580451.5616631.366966e-08
0.8622581.5615741.373677e-08
0.8664921.5614861.380421e-08
0.8707461.5613981.387198e-08
0.8750211.561311.394009e-08
0.8793181.5612231.400853e-08
0.8836351.5611371.407731e-08
0.8879741.5610511.414642e-08
0.8923341.5609651.421587e-08
0.8967151.560881.428567e-08
0.91.5608171.433800e-08
0.9011181.5607961.444497e-08
0.9055421.5607111.486844e-08
0.9099881.5606271.529398e-08
0.9144561.5605441.572161e-08
0.9189461.5604611.615134e-08
0.9234581.5603781.658319e-08
0.9279921.5602961.701715e-08
0.9325491.5602141.745324e-08
0.9371281.5601321.789148e-08
0.9417291.5600511.833186e-08
0.9463531.559971.877441e-08
0.9509991.559891.921913e-08
0.9556691.559811.966604e-08
0.9603611.559732.011513e-08
0.9650761.559652.056644e-08
0.9698151.5595712.101996e-08
0.9745761.5594922.147571e-08
0.9793621.5594132.193369e-08
0.984171.5593352.239392e-08
0.9890021.5592572.285642e-08
0.9938581.5591792.332118e-08
0.9987381.5591012.378823e-08
11.5590812.390900e-08
1.003641.5590242.399608e-08
1.008571.5589472.411390e-08
1.013521.558872.423231e-08
1.01851.5587932.435129e-08
1.02351.5587172.447086e-08
1.028521.5586412.459101e-08
1.033571.5585652.471176e-08
1.038651.5584892.483310e-08
1.043751.5584132.495503e-08
1.048871.5583382.507757e-08
1.054021.5582622.520070e-08
1.05921.5581872.532444e-08
1.06441.5581122.544879e-08
1.069631.5580372.557374e-08
1.074881.5579632.569931e-08
1.080151.5578882.582550e-08
1.085461.5578132.595231e-08
1.090791.5577392.607974e-08
1.096141.5576652.620779e-08
1.101531.5575912.633648e-08
1.106931.5575172.646579e-08
1.112371.5574432.659574e-08
1.117831.5573692.672633e-08
1.123321.5572952.685756e-08
1.128831.5572212.698944e-08
1.134381.5571472.712196e-08
1.139951.5570742.725513e-08
1.145541.5572.738896e-08
1.151171.5569262.752344e-08
1.156821.5568532.765859e-08
1.16251.5567792.779439e-08
1.168211.5567052.793087e-08
1.173941.5566322.806801e-08
1.179711.5565582.820583e-08
1.18551.5564852.834432e-08
1.191321.5564112.848350e-08
1.197171.5563372.862335e-08
1.21.5563022.869100e-08
1.203051.5562642.961777e-08
1.208961.556193.141330e-08
1.214891.5561163.321764e-08
1.220861.5560423.503084e-08
1.226851.5559683.685294e-08
1.232871.5558943.868399e-08
1.238931.555824.052403e-08
1.245011.5557464.237311e-08
1.251121.5556724.423126e-08
1.257271.5555974.609854e-08
1.263441.5555234.797498e-08
1.269641.5554484.986064e-08
1.275881.5553735.175556e-08
1.282141.5552985.365978e-08
1.288441.5552235.557335e-08
1.294761.5551485.749632e-08
1.301121.5550735.942872e-08
1.307511.5549976.137062e-08
1.313931.5549216.332205e-08
1.320381.5548466.528306e-08
1.326861.5547696.725370e-08
1.333381.5546936.923402e-08
1.339931.5546177.122406e-08
1.34651.554547.322387e-08
1.353121.5544637.523350e-08
1.359761.5543867.725299e-08
1.366441.5543087.928241e-08
1.373141.5542318.132178e-08
1.379891.5541538.337117e-08
1.386661.5540758.543062e-08
1.393471.5539968.750019e-08
1.41.5539218.948500e-08
1.400311.5539188.950496e-08
1.407191.5538398.994447e-08
1.41411.5537599.038615e-08
1.421041.553689.082999e-08
1.428021.55369.127601e-08
1.435031.5535199.172422e-08
1.442071.5534399.217463e-08
1.449161.5533589.262725e-08
1.456271.5532779.308210e-08
1.463421.5531959.353917e-08
1.470611.5531139.399850e-08
1.477831.5530319.446007e-08
1.485081.5529489.492392e-08
1.492371.5528659.539004e-08
1.49971.5527819.585845e-08
1.507071.5526979.632916e-08
1.514471.5526139.680218e-08
1.52191.5525289.727752e-08
1.529371.5524439.775520e-08
1.536881.5523579.823522e-08
1.544431.5522719.871760e-08
1.552011.5521859.920235e-08
1.559631.5520989.968948e-08
1.567291.552011.001790e-07
1.574991.5519221.006709e-07
1.582721.5518341.011653e-07
1.590491.5517451.016620e-07
1.59831.5516551.021612e-07
1.61.5516361.022700e-07
1.606151.5515651.098205e-07
1.614031.5514741.195086e-07
1.621961.5513831.292442e-07
1.629921.5512921.390277e-07
1.637921.5511991.488592e-07
1.645971.5511071.587389e-07
1.654051.5510131.686672e-07
1.662171.5509191.786442e-07
1.670331.5508251.886702e-07
1.678531.5507291.987454e-07
1.686771.5506332.088701e-07
1.695051.5505372.190445e-07
1.703381.550442.292689e-07
1.711741.5503422.395435e-07
1.720151.5502442.498685e-07
1.728591.5501442.602442e-07
1.737081.5500452.706709e-07
1.745611.5499442.811487e-07
1.754181.5498432.916780e-07
1.762791.5497413.022590e-07
1.771451.5496383.128919e-07
1.780141.5495353.235771e-07
1.788881.5494313.343147e-07
1.797671.5493263.451050e-07
1.81.5492983.479700e-07
1.806491.549223.626356e-07
1.815361.5491133.826654e-07
1.824281.5490064.027936e-07
1.833231.5488984.230206e-07
1.842241.5487894.433468e-07
1.851281.5486794.637729e-07
1.860371.5485694.842993e-07
1.869511.5484575.049265e-07
1.878681.5483455.256549e-07
1.887911.5482325.464851e-07
1.897181.5481175.674176e-07
1.906491.5480025.884529e-07
1.915851.5478866.095914e-07
1.925261.5477696.308338e-07
1.934711.5476516.521804e-07
1.944211.5475336.736319e-07
1.953761.5474136.951886e-07
1.963351.5472927.168512e-07
1.972991.547177.386202e-07
1.982681.5470477.604961e-07
1.992411.5469237.824794e-07
21.5468277.996100e-07
2.00221.5467998.132360e-07
2.012031.5466738.742153e-07
2.021911.5465469.354940e-07
2.031831.5464179.970736e-07
2.041811.5462881.058956e-06
2.051841.5461581.121141e-06
2.061911.5460261.183633e-06
2.072031.5458941.246430e-06
2.082211.545761.309537e-06
2.092431.5456251.372953e-06
2.10271.5454891.436680e-06
2.113031.5453511.500721e-06
2.12341.5452131.565076e-06
2.133831.5450731.629746e-06
2.144311.5449321.694735e-06
2.154831.5447891.760042e-06
2.165411.5446461.825670e-06
2.176051.5445011.891621e-06
2.186731.5443541.957895e-06
2.197471.5442062.024494e-06
2.21.5441722.040200e-06
2.208261.5440572.093448e-06
2.21911.5439072.163366e-06
2.231.5437552.233627e-06
2.240941.5436022.304233e-06
2.251951.5434472.375185e-06
2.2631.5432912.446486e-06
2.274121.5431342.518137e-06
2.285281.5429752.590139e-06
2.29651.5428142.662496e-06
2.307781.5426522.735207e-06
2.319111.5424882.808276e-06
2.33051.5423232.881703e-06
2.341941.5421562.955491e-06
2.353441.5419883.029641e-06
2.364991.5418183.104155e-06
2.37661.5416463.179035e-06
2.388271.5414733.254283e-06
2.41.5412973.329900e-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
—