Optical constants

Refractive index of S-BAL12 (OHARA)

S-BAL12: 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.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.53995
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.37146
Permittivity ε2
1.44087e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
59.462
Chromatic dispersion dn/dλ
-0.0468907 µm⁻¹
Group index ng
1.56751
Group velocity dispersion
82.1569 fs²/mm
Dispersion parameter D
-448.21 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-BAL12 (OHARA): S-BAL12
ohara_s_bal12 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal12.range_nm)  # (300, 2400) nm
eps = ohara_s_bal12.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=0.714605258λ2λ2−0.00301763913+0.621993289λ2λ2−0.016650545+1.22537681λ2λ2−143.506314

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.714605258
C30.00301763913
C40.621993289
C50.016650545
C61.22537681
C7143.506314

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -3.77e-07 1.04e-08 -3.79e-11 4.41e-07 4.08e-10 0.232
nd
1.539956
Vd
59.462478
glass code
540595
density
value: 2750
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 1.02e-05, temperature range: 293 573
dPgF
-0.0012
resistance
acid: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.97e-07 K⁻¹ at 633 nm, dn/dT = -4.86e-08 K⁻¹ at 1310 nm, dn/dT = -8.20e-08 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-BAL12 (OHARA), S-BAL12: n and k versus wavelength
λ (µm)nk
0.31.5817139.339300e-06
0.3015681.581068.443621e-06
0.3031431.5804157.543262e-06
0.3047271.579786.638199e-06
0.306321.5791545.728406e-06
0.307921.5785364.813859e-06
0.3095291.5779273.894534e-06
0.311.5777513.625500e-06
0.3111471.5773263.373944e-06
0.3127721.5767343.017224e-06
0.3144071.5761492.658640e-06
0.3160491.5755722.298182e-06
0.3177011.5750041.935841e-06
0.3193611.5744431.571607e-06
0.321.5742291.431400e-06
0.321031.5738891.344346e-06
0.3227071.5733431.202533e-06
0.3243931.5728041.059978e-06
0.3260881.5722739.166781e-07
0.3277921.5717487.726295e-07
0.3295051.571236.278283e-07
0.331.5710835.859900e-07
0.3312271.570725.439469e-07
0.3329581.5702164.846362e-07
0.3346971.5697184.250156e-07
0.3364461.5692273.650835e-07
0.3382041.5687433.048382e-07
0.3399711.5682652.442781e-07
0.341.5682572.433000e-07
0.3417481.5677932.211542e-07
0.3435341.5673271.985293e-07
0.3453291.5668671.757860e-07
0.3471331.5664131.529240e-07
0.3489471.5659651.299425e-07
0.351.5657081.166000e-07
0.350771.5655221.123021e-07
0.3526031.5650851.020749e-07
0.3544461.5646549.179429e-08
0.3562981.5642288.145997e-08
0.3581591.5638087.107165e-08
0.361.56346.080100e-08
0.3600311.5633936.071399e-08
0.3619121.5629835.540248e-08
0.3638031.5625785.006322e-08
0.3657041.5621794.469605e-08
0.3676151.5617843.930085e-08
0.3695361.5613943.387745e-08
0.371.5613013.256700e-08
0.3714671.5610093.135280e-08
0.3734081.5606292.974604e-08
0.3753591.5602542.813089e-08
0.377321.5598832.650729e-08
0.3792921.5595162.487521e-08
0.381.5593862.428900e-08
0.3812741.5591552.317677e-08
0.3832661.5587972.143714e-08
0.3852691.5584441.968842e-08
0.3872821.5580951.793057e-08
0.3893051.5577511.616353e-08
0.391.5576341.555700e-08
0.391341.557411.475412e-08
0.3933841.5570741.352856e-08
0.395441.5567421.229660e-08
0.3975061.5564141.105821e-08
0.3995831.556099.813337e-09
0.41.5560259.563600e-09
0.4016711.5557699.603576e-09
0.403771.5554539.653780e-09
0.405881.555149.704246e-09
0.4080011.5548319.754976e-09
0.4101331.5545259.805971e-09
0.4122761.5542239.857233e-09
0.414431.5539259.908762e-09
0.4165951.553639.960561e-09
0.4187721.5533391.001263e-08
0.421.5531771.004200e-08
0.420961.5530511.006495e-08
0.423161.5527661.011752e-08
0.4253711.5524851.017037e-08
0.4275941.5522071.022349e-08
0.4298281.5519321.027689e-08
0.4320741.5516611.033057e-08
0.4343321.5513921.038453e-08
0.4366011.5511271.043877e-08
0.4388821.5508641.049329e-08
0.441.5507371.052000e-08
0.4411761.5506051.054810e-08
0.4434811.5503481.060320e-08
0.4457981.5500951.065858e-08
0.4481281.5498441.071425e-08
0.4504691.5495971.077022e-08
0.4528231.5493521.082647e-08
0.4551891.5491091.088302e-08
0.4575681.548871.093987e-08
0.4599591.5486331.099701e-08
0.461.5486291.099800e-08
0.4623621.5483991.060227e-08
0.4647781.5481671.019749e-08
0.4672061.5479389.790592e-09
0.4696481.5477129.381571e-09
0.4721021.5474888.970412e-09
0.4745691.5472668.557105e-09
0.4770481.5470478.141638e-09
0.4795411.5468317.724000e-09
0.481.5467917.647100e-09
0.4820471.5466177.271913e-09
0.4845661.5464056.810190e-09
0.4870981.5461956.346055e-09
0.4896431.5459885.879494e-09
0.4922011.5457835.410496e-09
0.4947731.545584.939046e-09
0.4973581.5453794.465134e-09
0.4999571.5451813.988745e-09
0.51.5451773.980900e-09
0.502571.5449844.001359e-09
0.5051961.544794.022268e-09
0.5078351.5445984.043286e-09
0.5104891.5444084.064413e-09
0.5131561.5442194.085651e-09
0.5158381.5440334.107000e-09
0.5185331.5438494.128461e-09
0.5212431.5436674.150034e-09
0.5239661.5434864.171719e-09
0.5267041.5433084.193518e-09
0.5294561.5431314.215430e-09
0.5322231.5429574.237458e-09
0.5350041.5427844.259600e-09
0.5377991.5426124.281858e-09
0.5406091.5424434.304232e-09
0.5434341.5422754.326723e-09
0.5462741.5421094.349332e-09
0.5491281.5419454.372059e-09
0.551.5418954.379000e-09
0.5519981.5417824.394900e-09
0.5548821.5416214.417859e-09
0.5577811.5414624.440938e-09
0.5606961.5413044.464138e-09
0.5636261.5411484.487459e-09
0.5665711.5409944.510902e-09
0.5695311.540844.534467e-09
0.5725071.5406894.558156e-09
0.5754981.5405394.581968e-09
0.5785061.540394.605905e-09
0.5815281.5402434.629966e-09
0.5845671.5400974.654154e-09
0.5876221.5399534.678468e-09
0.5906921.539814.702908e-09
0.5937791.5396694.727477e-09
0.5968811.5395294.752174e-09
0.61.539394.777000e-09
0.6031351.5392525.126756e-09
0.6062871.5391165.478341e-09
0.6094551.5389815.831762e-09
0.6126391.5388476.187029e-09
0.615841.5387156.544154e-09
0.6190581.5385846.903144e-09
0.6222931.5384547.264010e-09
0.6255451.5383257.626762e-09
0.6288131.5381987.991409e-09
0.6320991.5380718.357961e-09
0.6354021.5379468.726429e-09
0.6387221.5378229.096822e-09
0.6420591.5376999.469151e-09
0.6454141.5375779.843425e-09
0.6487871.5374561.021965e-08
0.651.5374131.035500e-08
0.6521771.5373361.014681e-08
0.6555851.5372189.820908e-09
0.659011.53719.493298e-09
0.6624541.5369839.163977e-09
0.6659151.5368688.832935e-09
0.6693951.5367538.500164e-09
0.6728921.5366398.165653e-09
0.6764091.5365277.829395e-09
0.6799431.5364157.491379e-09
0.6834961.5363047.151598e-09
0.6870671.5361946.810041e-09
0.6906571.5360856.466699e-09
0.6942661.5359776.121563e-09
0.6978941.535875.774624e-09
0.71.5358085.573200e-09
0.7015411.5357645.585466e-09
0.7052061.5356585.614652e-09
0.7088911.5355545.643991e-09
0.7125951.535455.673483e-09
0.7163191.5353475.703129e-09
0.7200621.5352455.732931e-09
0.7238241.5351435.762888e-09
0.7276061.5350425.793001e-09
0.7314081.5349435.823272e-09
0.735231.5348445.853701e-09
0.7390721.5347455.884289e-09
0.7429341.5346475.915037e-09
0.7468161.5345515.945945e-09
0.7507181.5344545.977015e-09
0.7546411.5343596.008248e-09
0.7585841.5342646.039643e-09
0.7625471.534176.071203e-09
0.7665321.5340766.102928e-09
0.7705371.5339836.134818e-09
0.7745641.5338916.166875e-09
0.7786111.5337996.199099e-09
0.7826791.5337086.231492e-09
0.7867691.5336186.264054e-09
0.790881.5335286.296786e-09
0.7950121.5334396.329689e-09
0.7991671.533356.362765e-09
0.81.5333336.369400e-09
0.8033421.5332626.396013e-09
0.807541.5331756.429434e-09
0.811761.5330886.463031e-09
0.8160011.5330016.496803e-09
0.8202651.5329156.530751e-09
0.8245511.532836.564877e-09
0.828861.5327456.599181e-09
0.8331911.532666.633664e-09
0.8375441.5325766.668328e-09
0.8419211.5324936.703172e-09
0.846321.5324096.738199e-09
0.8507421.5323276.773409e-09
0.8551871.5322456.808803e-09
0.8596561.5321636.844381e-09
0.8641481.5320816.880146e-09
0.8686631.5326.916097e-09
0.8732021.531926.952236e-09
0.8777651.531846.988565e-09
0.8823511.531767.025083e-09
0.8869621.531687.061791e-09
0.8915971.5316017.098692e-09
0.8962551.5315237.135785e-09
0.91.531467.165600e-09
0.9009391.5314447.173072e-09
0.9056461.5313667.210549e-09
0.9103781.5312887.248222e-09
0.9151351.5312117.286092e-09
0.9199171.5311347.324160e-09
0.9247241.5310577.362427e-09
0.9295561.530987.400894e-09
0.9344131.5309047.439561e-09
0.9392951.5308287.478431e-09
0.9442041.5307537.517504e-09
0.9491371.5306777.556781e-09
0.9540971.5306027.596264e-09
0.9590821.5305277.635952e-09
0.9640931.5304527.675848e-09
0.9691311.5303777.715953e-09
0.9741951.5303037.756267e-09
0.9792851.5302297.796791e-09
0.9844021.5301557.837528e-09
0.9895461.5300817.878477e-09
0.9947171.5300087.919640e-09
0.9999141.5299347.961019e-09
11.5299337.961700e-09
1.005141.5298618.002618e-09
1.010391.5297888.044435e-09
1.015671.5297158.086471e-09
1.020981.5296428.128726e-09
1.026311.5295698.171202e-09
1.031681.5294968.213901e-09
1.037071.5294248.256822e-09
1.042491.5293518.299967e-09
1.047931.5292798.343338e-09
1.053411.5292078.386935e-09
1.058911.5291358.430761e-09
1.064451.5290628.474815e-09
1.070011.528998.519099e-09
1.07561.5289188.563615e-09
1.081221.5288468.608364e-09
1.086871.5287748.653346e-09
1.092551.5287028.698564e-09
1.098261.528638.744017e-09
1.1041.5285588.789708e-09
1.109761.5284868.835638e-09
1.115561.5284158.881808e-09
1.121391.5283438.928219e-09
1.127251.5282718.974873e-09
1.133141.5281999.021770e-09
1.139061.5281269.068913e-09
1.145011.5280549.116301e-09
1.1511.5279829.163938e-09
1.157011.527919.211823e-09
1.163061.5278389.259959e-09
1.169131.5277659.308346e-09
1.175241.5276939.356986e-09
1.181381.527629.405880e-09
1.187561.5275479.455029e-09
1.193761.5274749.504436e-09
1.21.5274019.554100e-09
1.21.5274019.554100e-09
1.206271.5273281.170813e-08
1.212571.5272551.387341e-08
1.218911.5271811.605001e-08
1.225281.5271081.823798e-08
1.231681.5270342.043738e-08
1.238121.526962.264828e-08
1.244591.5268862.487072e-08
1.251091.5268122.710479e-08
1.257631.5267372.935052e-08
1.26421.5266623.160799e-08
1.27081.5265883.387725e-08
1.277441.5265123.615837e-08
1.284121.5264373.845142e-08
1.290831.5263614.075644e-08
1.297571.5262854.307351e-08
1.304351.5262094.540268e-08
1.311171.5261334.774403e-08
1.318021.5260565.009761e-08
1.324911.5259795.246348e-08
1.331831.5259015.484172e-08
1.338791.5258245.723239e-08
1.345781.5257465.963555e-08
1.352821.5256676.205126e-08
1.359891.5255896.447960e-08
1.366991.525516.692063e-08
1.374131.525436.937441e-08
1.381311.5253517.184101e-08
1.388531.525277.432050e-08
1.395791.525197.681295e-08
1.41.5251437.826000e-08
1.403081.5251097.803758e-08
1.410411.5250287.750833e-08
1.417781.5249467.697630e-08
1.425191.5248647.644150e-08
1.432641.5247817.590391e-08
1.440121.5246987.536350e-08
1.447651.5246157.482027e-08
1.455211.5245317.427421e-08
1.462821.5244477.372529e-08
1.470461.5243627.317350e-08
1.478141.5242767.261882e-08
1.485871.524197.206125e-08
1.493631.5241047.150077e-08
1.501441.5240177.093736e-08
1.509281.523937.037100e-08
1.517171.5238426.980169e-08
1.525091.5237536.922940e-08
1.533061.5236646.865411e-08
1.541071.5235746.807583e-08
1.549131.5234846.749452e-08
1.557221.5233936.691017e-08
1.565361.5233026.632277e-08
1.573541.523216.573231e-08
1.581761.5231176.513875e-08
1.590021.5230246.454210e-08
1.598331.522936.394232e-08
1.61.5229116.382200e-08
1.606681.5228356.989786e-08
1.615081.522747.752827e-08
1.623521.5226448.519856e-08
1.6321.5225479.290892e-08
1.640531.522451.006596e-07
1.64911.5223511.084507e-07
1.657721.5222531.162826e-07
1.666381.5221531.241554e-07
1.675091.5220521.320693e-07
1.683841.5219511.400246e-07
1.692641.5218491.480214e-07
1.701481.5217471.560600e-07
1.710371.5216431.641407e-07
1.719311.5215391.722635e-07
1.72831.5214341.804288e-07
1.737331.5213281.886368e-07
1.74641.5212211.968876e-07
1.755531.5211132.051816e-07
1.76471.5210042.135189e-07
1.773921.5208952.218998e-07
1.783191.5207842.303244e-07
1.792511.5206732.387931e-07
1.81.5205832.456000e-07
1.801881.5205612.484619e-07
1.811291.5204472.628173e-07
1.820761.5203332.772478e-07
1.830271.5202182.917536e-07
1.839831.5201023.063352e-07
1.849451.5199843.209930e-07
1.859111.5198663.357274e-07
1.868831.5197473.505388e-07
1.878591.5196263.654276e-07
1.888411.5195053.803942e-07
1.898271.5193823.954390e-07
1.908191.5192594.105624e-07
1.918161.5191344.257648e-07
1.928191.5190084.410466e-07
1.938261.5188814.564083e-07
1.948391.5187534.718503e-07
1.958571.5186244.873730e-07
1.96881.5184935.029768e-07
1.979091.5183615.186621e-07
1.989431.5182285.344293e-07
1.999831.5180945.502790e-07
21.5180925.505400e-07
2.010281.5179595.972687e-07
2.020781.5178226.450238e-07
2.031341.5176846.930285e-07
2.041961.5175447.412840e-07
2.052631.5174047.897917e-07
2.063351.5172628.385529e-07
2.074131.5171188.875688e-07
2.084971.5169739.368408e-07
2.095861.5168279.863703e-07
2.106821.5166791.036159e-06
2.117821.516531.086207e-06
2.128891.5163791.136517e-06
2.140011.5162271.187090e-06
2.15121.5160741.237927e-06
2.162441.5159191.289030e-06
2.173741.5157621.340400e-06
2.18511.5156041.392038e-06
2.196511.5154441.443946e-06
2.21.5153951.459800e-06
2.207991.5152821.490394e-06
2.219531.5151191.534570e-06
2.231121.5149541.578977e-06
2.242781.5147881.623616e-06
2.25451.514621.668488e-06
2.266281.514451.713595e-06
2.278121.5142781.758938e-06
2.290031.5141051.804517e-06
2.301991.5139291.850335e-06
2.314021.5137521.896392e-06
2.326111.5135741.942689e-06
2.338271.5133931.989229e-06
2.350491.513212.036012e-06
2.362771.5130262.083039e-06
2.375111.5128392.130312e-06
2.387521.5126512.177832e-06
2.41.512462.225600e-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
—