Optical constants

Refractive index of S-BAL14 (OHARA)

S-BAL14: 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
1.56883
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.46123
Permittivity ε2
2.93727e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
56.364
Chromatic dispersion dn/dλ
-0.052003 µm⁻¹
Group index ng
1.59939
Group velocity dispersion
92.2671 fs²/mm
Dispersion parameter D
-503.366 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-BAL14 (OHARA): S-BAL14
ohara_s_bal14 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL14", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal14.range_nm)  # (330, 2400) nm
eps = ohara_s_bal14.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=1.27553696λ2λ2−0.00749692359+0.146083393λ2λ2−0.031042153+1.16754699λ2λ2−128.947092

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.27553696
C30.00749692359
C40.146083393
C50.031042153
C61.16754699
C7128.947092

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -5.94e-07 1.27e-08 -3.65e-11 3.93e-07 3.72e-10 0.26
nd
1.568832
Vd
56.363897
glass code
569563
density
value: 2890
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.3e-06, temperature range: 293 573
dPgF
-0.0014
resistance
acid: 1.0; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.72e-07 K⁻¹ at 633 nm, dn/dT = -1.62e-07 K⁻¹ at 1310 nm, dn/dT = -1.93e-07 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-BAL14 (OHARA), S-BAL14: n and k versus wavelength
λ (µm)nk
0.331.6041146.323400e-06
0.3316451.6035485.648564e-06
0.3332981.602994.970365e-06
0.334961.602444.288784e-06
0.336631.6018973.603806e-06
0.3383081.6013612.915412e-06
0.3399941.6008332.223587e-06
0.341.6008312.221300e-06
0.3416891.6003111.987721e-06
0.3433931.5997971.752203e-06
0.3451051.5992891.515510e-06
0.3468251.5987881.277638e-06
0.3485541.5982941.038580e-06
0.351.5978878.386400e-07
0.3502921.5978068.248671e-07
0.3520381.5973257.423705e-07
0.3537931.5968496.594628e-07
0.3555561.596385.761417e-07
0.3573291.5959174.924052e-07
0.359111.595464.082513e-07
0.361.5952343.662200e-07
0.3609011.5950083.479602e-07
0.36271.5945633.114791e-07
0.3645081.5941232.748160e-07
0.3663251.5936882.379702e-07
0.3681511.5932592.009407e-07
0.3699861.5928361.637266e-07
0.371.5928321.634500e-07
0.3718311.5924171.503886e-07
0.3736841.5920041.371642e-07
0.3755471.5915961.238739e-07
0.3774191.5911931.105174e-07
0.3793011.5907959.709426e-08
0.381.5906499.210700e-08
0.3811921.5904028.747155e-08
0.3830921.5900148.008054e-08
0.3850021.589637.265268e-08
0.3869211.5892516.518779e-08
0.388851.5888775.768569e-08
0.391.5886575.321300e-08
0.3907891.5885075.179330e-08
0.3927371.5881424.828568e-08
0.3946941.5877814.476057e-08
0.3966621.5874244.121789e-08
0.398641.5870723.765755e-08
0.41.5868333.520800e-08
0.4006271.5867243.494594e-08
0.4026241.586383.411092e-08
0.4046311.586043.327173e-08
0.4066481.5857043.242836e-08
0.4086751.5853723.158079e-08
0.4107131.5850433.072899e-08
0.412761.5847192.987295e-08
0.4148181.5843982.901264e-08
0.4168861.5840822.814804e-08
0.4189641.5837682.727913e-08
0.421.5836142.684600e-08
0.4210531.5834592.672758e-08
0.4231521.5831532.649144e-08
0.4252611.582852.625412e-08
0.4273811.5825512.601562e-08
0.4295121.5822562.577594e-08
0.4316531.5819632.553505e-08
0.4338051.5816742.529297e-08
0.4359671.5813892.504968e-08
0.4381411.5811062.480518e-08
0.441.5808682.459600e-08
0.4403251.5808272.455432e-08
0.442521.5805512.427269e-08
0.4447261.5802782.398966e-08
0.4469431.5800082.370522e-08
0.4491711.5797412.341935e-08
0.451411.5794772.313207e-08
0.4536611.5792162.284335e-08
0.4559221.5789572.255319e-08
0.4581951.5787022.226158e-08
0.461.5785022.203000e-08
0.4604791.5784492.196091e-08
0.4627751.5781992.162989e-08
0.4650821.5779522.129722e-08
0.46741.5777082.096289e-08
0.469731.5774662.062690e-08
0.4720721.5772272.028923e-08
0.4744251.576991.994987e-08
0.476791.5767561.960883e-08
0.4791671.5765251.926608e-08
0.481.5764451.914600e-08
0.4815561.5762961.858656e-08
0.4839571.5760691.772341e-08
0.4863691.5758451.685596e-08
0.4887941.5756231.598419e-08
0.4912311.5754041.510807e-08
0.4936791.5751871.422759e-08
0.496141.5749721.334271e-08
0.4986141.5747591.245342e-08
0.51.5746411.195500e-08
0.5010991.5745491.188480e-08
0.5035971.5743411.172529e-08
0.5061081.5741351.156498e-08
0.5086311.5739311.140388e-08
0.5111671.5737291.124197e-08
0.5137151.5735291.107925e-08
0.5162761.5733321.091573e-08
0.5188491.5731361.075138e-08
0.5214361.5729431.058622e-08
0.5240351.5727511.042024e-08
0.5266481.5725611.025343e-08
0.5292731.5723741.008578e-08
0.5319121.5721889.917305e-09
0.5345631.5720049.747986e-09
0.5372281.5718229.577823e-09
0.5399061.5716419.406812e-09
0.5425981.5714639.234948e-09
0.5453031.5712869.062228e-09
0.5480211.5711118.888646e-09
0.551.5709858.762300e-09
0.5507531.5709388.774301e-09
0.5534991.5707668.818044e-09
0.5562581.5705978.862005e-09
0.5590311.5704288.906185e-09
0.5618181.5702628.950585e-09
0.5646191.5700978.995206e-09
0.5674331.5699349.040050e-09
0.5702621.5697729.085118e-09
0.5731051.5696129.130410e-09
0.5759621.5694539.175928e-09
0.5788331.5692969.221673e-09
0.5817191.569149.267645e-09
0.5846191.5689869.313847e-09
0.5875331.5688339.360280e-09
0.5904621.5686829.406944e-09
0.5934061.5685329.453840e-09
0.5963641.5683849.500970e-09
0.5993371.5682379.548336e-09
0.61.5682049.558900e-09
0.6023251.5680919.837031e-09
0.6053271.5679471.019628e-08
0.6083451.5678041.055731e-08
0.6113781.5676621.092015e-08
0.6144261.5675211.128480e-08
0.6174891.5673821.165126e-08
0.6205671.5672441.201955e-08
0.623661.5671081.238968e-08
0.6267691.5669721.276165e-08
0.6298941.5668381.313547e-08
0.6330341.5667051.351116e-08
0.636191.5665731.388873e-08
0.6393611.5664421.426817e-08
0.6425491.5663131.464951e-08
0.6457521.5661841.503274e-08
0.6489711.5660571.541789e-08
0.651.5660171.554100e-08
0.6522061.5659311.534734e-08
0.6554581.5658061.506193e-08
0.6587251.5656821.477511e-08
0.6620091.5655591.448685e-08
0.6653091.5654371.419716e-08
0.6686261.5653161.390602e-08
0.6719591.5651961.361344e-08
0.6753091.5650771.331939e-08
0.6786751.5649591.302388e-08
0.6820591.5648421.272689e-08
0.6854591.5647261.242843e-08
0.6888761.5646111.212847e-08
0.692311.5644971.182702e-08
0.6957611.5643831.152407e-08
0.699231.5642711.121961e-08
0.71.5642461.115200e-08
0.7027161.5641591.119526e-08
0.7062191.5640491.125106e-08
0.7097391.5639391.130715e-08
0.7132771.563831.136351e-08
0.7168331.5637221.142015e-08
0.7204071.5636151.147708e-08
0.7239981.5635081.153429e-08
0.7276071.5634031.159179e-08
0.7312351.5632981.164957e-08
0.734881.5631941.170764e-08
0.7385431.5630911.176600e-08
0.7422251.5629881.182465e-08
0.7459251.5628861.188359e-08
0.7496441.5627851.194283e-08
0.7533811.5626851.200236e-08
0.7571371.5625851.206219e-08
0.7609111.5624861.212231e-08
0.7647041.5623881.218274e-08
0.7685161.562291.224347e-08
0.7723481.5621931.230450e-08
0.7761981.5620971.236583e-08
0.7800671.5620011.242747e-08
0.7839561.5619061.248942e-08
0.7878641.5618121.255168e-08
0.7917921.5617181.261424e-08
0.7957391.5616251.267712e-08
0.7997061.5615321.274031e-08
0.81.5615261.274500e-08
0.8036931.561441.280382e-08
0.8076991.5613491.286765e-08
0.8117261.5612581.293179e-08
0.8157721.5611681.299625e-08
0.8198391.5610781.306103e-08
0.8239261.5609881.312614e-08
0.8280331.56091.319157e-08
0.8321611.5608111.325733e-08
0.836311.5607241.332341e-08
0.8404791.5606361.338983e-08
0.8446691.560551.345657e-08
0.8488791.5604631.352365e-08
0.8531111.5603771.359106e-08
0.8573641.5602921.365881e-08
0.8616381.5602071.372690e-08
0.8659341.5601221.379532e-08
0.870251.5600381.386409e-08
0.8745891.5599541.393320e-08
0.8789491.5598711.400265e-08
0.883331.5597881.407245e-08
0.8877341.5597061.414260e-08
0.8921591.5596241.421310e-08
0.8966071.5595421.428395e-08
0.91.559481.433800e-08
0.9010771.559461.444104e-08
0.9055691.5593791.487097e-08
0.9100831.5592981.530304e-08
0.914621.5592181.573727e-08
0.9191791.5591381.617366e-08
0.9237621.5590581.661222e-08
0.9283671.5589791.705298e-08
0.9329951.55891.749593e-08
0.9376461.5588211.794108e-08
0.942321.5587421.838846e-08
0.9470181.5586641.883807e-08
0.9517391.5585861.928992e-08
0.9564831.5585081.974402e-08
0.9612521.5584312.020038e-08
0.9660441.5583532.065902e-08
0.9708591.5582762.111995e-08
0.9756991.5581992.158318e-08
0.9805631.5581232.204871e-08
0.9854521.5580462.251656e-08
0.9903641.557972.298675e-08
0.9953011.5578942.345928e-08
11.5578222.390900e-08
1.000261.5578182.391529e-08
1.005251.5577432.403451e-08
1.010261.5576672.415433e-08
1.01531.5575922.427475e-08
1.020361.5575162.439577e-08
1.025451.5574412.451739e-08
1.030561.5573672.463962e-08
1.035691.5572922.476246e-08
1.040861.5572172.488591e-08
1.046051.5571432.500997e-08
1.051261.5570682.513465e-08
1.05651.5569942.525996e-08
1.061771.5569192.538589e-08
1.067061.5568452.551245e-08
1.072381.5567712.563963e-08
1.077731.5566972.576746e-08
1.08311.5566232.589592e-08
1.08851.5565492.602502e-08
1.093931.5564752.615476e-08
1.099381.5564012.628515e-08
1.104861.5563282.641619e-08
1.110371.5562542.654788e-08
1.11591.556182.668023e-08
1.121471.5561062.681324e-08
1.127061.5560322.694692e-08
1.132671.5559582.708125e-08
1.138321.5558852.721626e-08
1.1441.5558112.735195e-08
1.14971.5557372.748830e-08
1.155431.5556632.762534e-08
1.161191.5555892.776306e-08
1.166981.5555152.790147e-08
1.17281.5554412.804057e-08
1.178641.5553662.818036e-08
1.184521.5552922.832085e-08
1.190421.5552182.846204e-08
1.196361.5551432.860393e-08
1.21.5550982.869100e-08
1.202321.5550692.978881e-08
1.208321.5549943.262202e-08
1.214341.5549193.546936e-08
1.220391.5548443.833090e-08
1.226481.5547694.120670e-08
1.232591.5546944.409683e-08
1.238741.5546184.700138e-08
1.244911.5545434.992040e-08
1.251121.5544675.285398e-08
1.257351.5543915.580218e-08
1.263621.5543155.876507e-08
1.269921.5542396.174274e-08
1.276251.5541626.473525e-08
1.282611.5540856.774268e-08
1.289011.5540087.076511e-08
1.295431.5539317.380259e-08
1.301891.5538547.685523e-08
1.308381.5537767.992308e-08
1.314911.5536988.300622e-08
1.321461.553628.610473e-08
1.328051.5535428.921869e-08
1.334671.5534639.234817e-08
1.341321.5533849.549326e-08
1.348011.5533059.865402e-08
1.354731.5532251.018305e-07
1.361481.5531451.050229e-07
1.368271.5530651.082312e-07
1.375091.5529841.114554e-07
1.381951.5529031.146958e-07
1.388831.5528221.179523e-07
1.395761.5527411.212250e-07
1.41.5526911.232300e-07
1.402721.5526591.227711e-07
1.409711.5525761.215896e-07
1.416741.5524941.204023e-07
1.42381.552411.192091e-07
1.43091.5523271.180099e-07
1.438031.5522431.168048e-07
1.44521.5521591.155936e-07
1.45241.5520741.143764e-07
1.459641.5519891.131531e-07
1.466921.5519031.119237e-07
1.474231.5518171.106882e-07
1.481581.5517311.094466e-07
1.488971.5516431.081987e-07
1.496391.5515561.069447e-07
1.503851.5514681.056843e-07
1.511351.5513791.044177e-07
1.518881.551291.031448e-07
1.526451.5512011.018656e-07
1.534061.5511111.005799e-07
1.541711.551029.928787e-08
1.54941.5509299.798937e-08
1.557121.5508379.668441e-08
1.564881.5507459.537294e-08
1.572681.5506529.405493e-08
1.580521.5505599.273035e-08
1.58841.5504659.139917e-08
1.596321.550379.006136e-08
1.61.5503268.944000e-08
1.604281.5502759.278194e-08
1.612281.5501799.902644e-08
1.620321.5500821.053021e-07
1.628391.5499851.116090e-07
1.636511.5498871.179474e-07
1.644671.5497891.243173e-07
1.652871.5496891.307190e-07
1.661111.5495891.371526e-07
1.669391.5494891.436183e-07
1.677711.5493871.501163e-07
1.686071.5492851.566466e-07
1.694481.5491821.632095e-07
1.702931.5490791.698051e-07
1.711421.5489751.764335e-07
1.719951.5488691.830950e-07
1.728521.5487631.897898e-07
1.737141.5486571.965179e-07
1.74581.5485492.032795e-07
1.75451.5484412.100749e-07
1.763251.5483322.169041e-07
1.772041.5482212.237674e-07
1.780871.5481112.306648e-07
1.789751.5479992.375967e-07
1.798671.5478862.445631e-07
1.81.5478692.456000e-07
1.807641.5477722.566177e-07
1.816651.5476582.696152e-07
1.825711.5475422.826775e-07
1.834811.5474262.958049e-07
1.843951.5473093.089977e-07
1.853151.547193.222564e-07
1.862391.5470713.355811e-07
1.871671.5469513.489723e-07
1.8811.546833.624302e-07
1.890381.5467073.759552e-07
1.89981.5465843.895476e-07
1.909271.546464.032078e-07
1.918791.5463344.169360e-07
1.928351.5462074.307328e-07
1.937971.546084.445983e-07
1.947631.5459514.585329e-07
1.957341.5458214.725370e-07
1.96711.545694.866109e-07
1.97691.5455585.007549e-07
1.986761.5454255.149695e-07
1.996661.545295.292549e-07
21.5452455.340700e-07
2.006621.5451545.684771e-07
2.016621.5450176.205056e-07
2.026671.5448796.727935e-07
2.036771.544747.253420e-07
2.046931.5445997.781525e-07
2.057131.5444578.312263e-07
2.067391.5443138.845646e-07
2.077691.5441699.381688e-07
2.088051.5440239.920403e-07
2.098461.5438751.046180e-06
2.108921.5437271.100590e-06
2.119441.5435771.155271e-06
2.131.5434251.210225e-06
2.140621.5432721.265453e-06
2.151291.5431181.320956e-06
2.162021.5429621.376736e-06
2.172791.5428041.432793e-06
2.183621.5426451.489131e-06
2.194511.5424851.545749e-06
2.21.5424041.574300e-06
2.205451.5423231.609897e-06
2.216451.5421591.681702e-06
2.227491.5419941.753865e-06
2.23861.5418281.826388e-06
2.249761.5416591.899272e-06
2.260971.5414891.972520e-06
2.272251.5413182.046133e-06
2.283571.5411442.120112e-06
2.294961.5409692.194461e-06
2.30641.5407922.269180e-06
2.317891.5406142.344272e-06
2.329451.5404332.419738e-06
2.341061.5402512.495580e-06
2.352731.5400672.571800e-06
2.364461.5398812.648400e-06
2.376251.5396932.725383e-06
2.38811.5395042.802748e-06
2.41.5393122.880500e-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
—