Optical constants

Refractive index of BAL15Y (OHARA)

BAL15Y: 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
1.55671
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.42334
Permittivity ε2
1.45655e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
58.679
Chromatic dispersion dn/dλ
-0.0489875 µm⁻¹
Group index ng
1.58549
Group velocity dispersion
85.8746 fs²/mm
Dispersion parameter D
-468.492 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

# BAL15Y (OHARA): BAL15Y
ohara_bal15y = ls.fetch_refractiveindex("specs", "OHARA-optical", "BAL15Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bal15y.range_nm)  # (300, 2400) nm
eps = ohara_bal15y.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=1.28348331λ2λ2−0.00790900515+0.102800765λ2λ2−0.0305971274+0.404609885λ2λ2−46.5268356

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.28348331
C30.00790900515
C40.102800765
C50.0305971274
C60.404609885
C746.5268356

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.61e-06 1.32e-08 -4.12e-11 4.65e-07 5.14e-10 0.201
nd
1.556711
Vd
58.679177
glass code
557587
density
value: 2900
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0021
resistance
acid: 1.2; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.32e-06 K⁻¹ at 633 nm, dn/dT = 8.44e-07 K⁻¹ at 1310 nm, dn/dT = 8.04e-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 427 wavelengths, the same grid as the API and the library
BAL15Y (OHARA), BAL15Y: n and k versus wavelength
λ (µm)nk
0.31.6006584.230200e-06
0.3015681.5999583.771121e-06
0.3031431.5992693.309643e-06
0.3047271.598592.845754e-06
0.306321.5979212.379441e-06
0.307921.5972611.910692e-06
0.3095291.5966121.439493e-06
0.311.5964241.301600e-06
0.3111471.5959711.203274e-06
0.3127721.595341.063842e-06
0.3144071.5947189.236824e-07
0.3160491.5941057.827900e-07
0.3177011.5935016.411614e-07
0.3193611.5929054.987928e-07
0.321.5926794.439900e-07
0.321031.5923184.158673e-07
0.3227071.5917393.700543e-07
0.3243931.5911683.240019e-07
0.3260881.5906052.777089e-07
0.3277921.590052.311740e-07
0.3295051.5895021.843959e-07
0.331.5893461.708800e-07
0.3312271.5889621.596842e-07
0.3329581.5884291.438902e-07
0.3346971.5879031.280136e-07
0.3364461.5873851.120541e-07
0.3382041.5868749.601121e-08
0.3399711.5863697.988447e-08
0.341.5863617.962400e-08
0.3417481.5858717.306435e-08
0.3435341.585386.636274e-08
0.3453291.5848955.962612e-08
0.3471331.5844175.285430e-08
0.3489471.5839454.604709e-08
0.351.5836754.209500e-08
0.350771.5834794.062497e-08
0.3526031.583023.712696e-08
0.3544461.5825663.361067e-08
0.3562981.5821183.007601e-08
0.3581591.5816762.652288e-08
0.361.5812472.301000e-08
0.3600311.581242.298457e-08
0.3619121.5808092.143236e-08
0.3638031.5803841.987203e-08
0.3657041.5799641.830355e-08
0.3676151.5795491.672687e-08
0.3695361.579141.514196e-08
0.371.5790421.475900e-08
0.3714671.5787361.437192e-08
0.3734081.5783371.385969e-08
0.3753591.5779431.334478e-08
0.377321.5775541.282718e-08
0.3792921.577171.230688e-08
0.381.5770341.212000e-08
0.3812741.5767911.176394e-08
0.3832661.5764161.120703e-08
0.3852691.5760461.064720e-08
0.3872821.575681.008446e-08
0.3893051.5753199.518769e-09
0.391.5751979.324600e-09
0.391341.5749638.929147e-09
0.3933841.574618.325509e-09
0.395441.5742627.718718e-09
0.3975061.5739197.108755e-09
0.3995831.5735796.495606e-09
0.41.5735116.372600e-09
0.4016711.5732436.399223e-09
0.403771.5729126.432657e-09
0.405881.5725846.466266e-09
0.4080011.5722616.500051e-09
0.4101331.5719416.534012e-09
0.4122761.5716256.568150e-09
0.414431.5713136.602467e-09
0.4165951.5710046.636964e-09
0.4187721.57076.671640e-09
0.421.570536.691200e-09
0.420961.5703986.706498e-09
0.423161.5701016.741538e-09
0.4253711.5698066.776761e-09
0.4275941.5695166.812168e-09
0.4298281.5692286.847760e-09
0.4320741.5689446.883538e-09
0.4343321.5686636.919503e-09
0.4366011.5683866.955656e-09
0.4388821.5681116.991998e-09
0.441.5679797.009800e-09
0.4411761.567847.028536e-09
0.4434811.5675727.065270e-09
0.4457981.5673077.102196e-09
0.4481281.5670457.139315e-09
0.4504691.5667867.176628e-09
0.4528231.566537.214136e-09
0.4551891.5662767.251840e-09
0.4575681.5660267.289741e-09
0.4599591.5657787.327839e-09
0.461.5657747.328500e-09
0.4623621.5655347.366126e-09
0.4647781.5652927.404612e-09
0.4672061.5650527.443299e-09
0.4696481.5648167.482188e-09
0.4721021.5645827.521281e-09
0.4745691.564357.560578e-09
0.4770481.5641217.600080e-09
0.4795411.5638957.639788e-09
0.481.5638537.647100e-09
0.4820471.5636717.271913e-09
0.4845661.5634496.810190e-09
0.4870981.563236.346055e-09
0.4896431.5630145.879494e-09
0.4922011.5627995.410496e-09
0.4947731.5625874.939046e-09
0.4973581.5623784.465134e-09
0.4999571.562173.988745e-09
0.51.5621673.980900e-09
0.502571.5619654.001359e-09
0.5051961.5617624.022268e-09
0.5078351.5615614.043286e-09
0.5104891.5613624.064413e-09
0.5131561.5611664.085651e-09
0.5158381.5609714.107000e-09
0.5185331.5607794.128461e-09
0.5212431.5605884.150034e-09
0.5239661.56044.171719e-09
0.5267041.5602134.193518e-09
0.5294561.5600294.215430e-09
0.5322231.5598464.237458e-09
0.5350041.5596664.259600e-09
0.5377991.5594874.281858e-09
0.5406091.559314.304232e-09
0.5434341.5591344.326723e-09
0.5462741.5589614.349332e-09
0.5491281.5587894.372059e-09
0.551.5587374.379000e-09
0.5519981.5586194.394900e-09
0.5548821.5584514.417859e-09
0.5577811.5582854.440938e-09
0.5606961.558124.464138e-09
0.5636261.5579574.487459e-09
0.5665711.5577954.510902e-09
0.5695311.5576354.534467e-09
0.5725071.5574774.558156e-09
0.5754981.557324.581968e-09
0.5785061.5571654.605905e-09
0.5815281.5570114.629966e-09
0.5845671.5568594.654154e-09
0.5876221.5567084.678468e-09
0.5906921.5565594.702908e-09
0.5937791.5564114.727477e-09
0.5968811.5562654.752174e-09
0.61.556124.777000e-09
0.6031351.5559765.126756e-09
0.6062871.5558345.478341e-09
0.6094551.5556935.831762e-09
0.6126391.5555536.187029e-09
0.615841.5554156.544154e-09
0.6190581.5552786.903144e-09
0.6222931.5551427.264010e-09
0.6255451.5550087.626762e-09
0.6288131.5548747.991409e-09
0.6320991.5547428.357961e-09
0.6354021.5546128.726429e-09
0.6387221.5544829.096822e-09
0.6420591.5543539.469151e-09
0.6454141.5542269.843425e-09
0.6487871.55411.021965e-08
0.651.5540551.035500e-08
0.6521771.5539751.014681e-08
0.6555851.5538519.820908e-09
0.659011.5537289.493298e-09
0.6624541.5536069.163977e-09
0.6659151.5534858.832935e-09
0.6693951.5533668.500164e-09
0.6728921.5532478.165653e-09
0.6764091.5531297.829395e-09
0.6799431.5530127.491379e-09
0.6834961.5528977.151598e-09
0.6870671.5527826.810041e-09
0.6906571.5526686.466699e-09
0.6942661.5525556.121563e-09
0.6978941.5524435.774624e-09
0.71.5523795.573200e-09
0.7015411.5523325.585466e-09
0.7052061.5522225.614652e-09
0.7088911.5521135.643991e-09
0.7125951.5520045.673483e-09
0.7163191.5518975.703129e-09
0.7200621.551795.732931e-09
0.7238241.5516845.762888e-09
0.7276061.5515795.793001e-09
0.7314081.5514755.823272e-09
0.735231.5513715.853701e-09
0.7390721.5512695.884289e-09
0.7429341.5511675.915037e-09
0.7468161.5510665.945945e-09
0.7507181.5509655.977015e-09
0.7546411.5508656.008248e-09
0.7585841.5507666.039643e-09
0.7625471.5506686.071203e-09
0.7665321.550576.102928e-09
0.7705371.5504736.134818e-09
0.7745641.5503776.166875e-09
0.7786111.5502816.199099e-09
0.7826791.5501866.231492e-09
0.7867691.5500926.264054e-09
0.790881.5499986.296786e-09
0.7950121.5499056.329689e-09
0.7991671.5498136.362765e-09
0.81.5497946.369400e-09
0.8033421.5497216.635747e-09
0.807541.5496296.970242e-09
0.811761.5495387.306484e-09
0.8160011.5494487.644483e-09
0.8202651.5493587.984248e-09
0.8245511.5492698.325789e-09
0.828861.549188.669114e-09
0.8331911.5490929.014233e-09
0.8375441.5490049.361155e-09
0.8419211.5489179.709891e-09
0.846321.5488311.006045e-08
0.8507421.5487441.041284e-08
0.8551871.5486581.076707e-08
0.8596561.5485731.112315e-08
0.8641481.5484881.148109e-08
0.8686631.5484041.184090e-08
0.8732021.5483191.220260e-08
0.8777651.5482361.256618e-08
0.8823511.5481531.293166e-08
0.8869621.548071.329905e-08
0.8915971.5479871.366836e-08
0.8962551.5479051.403961e-08
0.91.5478391.433800e-08
0.9009391.5478231.450278e-08
0.9056461.5477421.532929e-08
0.9103781.547661.616013e-08
0.9151351.547581.699530e-08
0.9199171.5474991.783485e-08
0.9247241.5474191.867877e-08
0.9295561.5473391.952711e-08
0.9344131.5472592.037988e-08
0.9392951.547182.123710e-08
0.9442041.5471012.209881e-08
0.9491371.5470222.296502e-08
0.9540971.5469442.383575e-08
0.9590821.5468652.471103e-08
0.9640931.5467872.559089e-08
0.9691311.5467092.647535e-08
0.9741951.5466322.736442e-08
0.9792851.5465542.825814e-08
0.9844021.5464772.915653e-08
0.9895461.54643.005962e-08
0.9947171.5463233.096742e-08
0.9999141.5462463.187997e-08
11.5462453.189500e-08
1.005141.546173.230539e-08
1.010391.5460933.272480e-08
1.015671.5460173.314639e-08
1.020981.5459413.357019e-08
1.026311.5458653.399621e-08
1.031681.5457893.442445e-08
1.037071.5457133.485493e-08
1.042491.5456373.528765e-08
1.047931.5455623.572264e-08
1.053411.5454863.615991e-08
1.058911.545413.659945e-08
1.064451.5453353.704129e-08
1.070011.545263.748545e-08
1.07561.5451843.793192e-08
1.081221.5451093.838073e-08
1.086871.5450333.883188e-08
1.092551.5449583.928538e-08
1.098261.5448833.974126e-08
1.1041.5448074.019952e-08
1.109761.5447324.066018e-08
1.115561.5446574.112324e-08
1.121391.5445814.158872e-08
1.127251.5445064.205663e-08
1.133141.544434.252699e-08
1.139061.5443554.299981e-08
1.145011.5442794.347509e-08
1.1511.5442044.395286e-08
1.157011.5441284.443313e-08
1.163061.5440524.491591e-08
1.169131.5439764.540120e-08
1.175241.54394.588904e-08
1.181381.5438234.637942e-08
1.187561.5437474.687237e-08
1.193761.543674.736789e-08
1.21.5435944.786600e-08
1.21.5435944.786600e-08
1.206271.5435175.022877e-08
1.212571.543445.260388e-08
1.218911.5433635.499141e-08
1.225281.5432855.739141e-08
1.231681.5432075.980395e-08
1.238121.543136.222910e-08
1.244591.5430526.466692e-08
1.251091.5429736.711747e-08
1.257631.5428956.958084e-08
1.26421.5428167.205707e-08
1.27081.5427377.454624e-08
1.277441.5426587.704842e-08
1.284121.5425787.956368e-08
1.290831.5424988.209207e-08
1.297571.5424188.463368e-08
1.304351.5423378.718857e-08
1.311171.5422568.975681e-08
1.318021.5421759.233846e-08
1.324911.5420949.493361e-08
1.331831.5420129.754232e-08
1.338791.541931.001647e-07
1.345781.5418471.028007e-07
1.352821.5417641.054505e-07
1.359891.541681.081142e-07
1.366991.5415971.107918e-07
1.374131.5415121.134833e-07
1.381311.5414281.161890e-07
1.388531.5413431.189087e-07
1.395791.5412571.216427e-07
1.41.5412071.232300e-07
1.403081.5411711.229071e-07
1.410411.5410851.221388e-07
1.417781.5409971.213664e-07
1.425191.540911.205900e-07
1.432641.5408221.198096e-07
1.440121.5407331.190251e-07
1.447651.5406441.182365e-07
1.455211.5405551.174437e-07
1.462821.5404651.166468e-07
1.470461.5403741.158458e-07
1.478141.5402831.150406e-07
1.485871.5401911.142311e-07
1.493631.5400981.134175e-07
1.501441.5400051.125995e-07
1.509281.5399111.117773e-07
1.517171.5398171.109509e-07
1.525091.5397221.101200e-07
1.533061.5396261.092849e-07
1.541071.5395291.084454e-07
1.549131.5394321.076015e-07
1.557221.5393341.067532e-07
1.565361.5392361.059004e-07
1.573541.5391361.050432e-07
1.581761.5390361.041816e-07
1.590021.5389351.033154e-07
1.598331.5388341.024447e-07
1.61.5388131.022700e-07
1.606681.5387311.065741e-07
1.615081.5386281.119794e-07
1.623521.5385241.174130e-07
1.6321.5384191.228749e-07
1.640531.5383131.283654e-07
1.64911.5382071.338846e-07
1.657721.5380991.394326e-07
1.666381.5379911.450096e-07
1.675091.5378811.506158e-07
1.683841.5377711.562512e-07
1.692641.5376591.619161e-07
1.701481.5375471.676106e-07
1.710371.5374341.733349e-07
1.719311.537321.790891e-07
1.72831.5372041.848733e-07
1.737331.5370881.906877e-07
1.74641.5369711.965326e-07
1.755531.5368522.024079e-07
1.76471.5367332.083140e-07
1.773921.5366122.142510e-07
1.783191.536492.202189e-07
1.792511.5363672.262180e-07
1.81.5362682.310400e-07
1.801881.5362432.331137e-07
1.811291.5361182.435151e-07
1.820761.5359912.539710e-07
1.830271.5358642.644814e-07
1.839831.5357352.750468e-07
1.849451.5356042.856674e-07
1.859111.5354732.963435e-07
1.868831.535343.070754e-07
1.878591.5352063.178633e-07
1.888411.535073.287076e-07
1.898271.5349333.396086e-07
1.908191.5347953.505666e-07
1.918161.5346553.615818e-07
1.928191.5345143.726545e-07
1.938261.5343713.837851e-07
1.948391.5342273.949739e-07
1.958571.5340814.062212e-07
1.96881.5339344.175272e-07
1.979091.5337854.288922e-07
1.989431.5336354.403167e-07
1.999831.5334834.518009e-07
21.533484.519900e-07
2.010281.5333294.969636e-07
2.020781.5331745.429252e-07
2.031341.5330175.891269e-07
2.041961.5328586.355701e-07
2.052631.5326986.822559e-07
2.063351.5325357.291857e-07
2.074131.5323717.763607e-07
2.084971.5322058.237821e-07
2.095861.5320378.714514e-07
2.106821.5318679.193698e-07
2.117821.5316969.675385e-07
2.128891.5315221.015959e-06
2.140011.5313461.064632e-06
2.15121.5311691.113560e-06
2.162441.5309891.162744e-06
2.173741.5308071.212184e-06
2.18511.5306231.261883e-06
2.196511.5304371.311841e-06
2.21.530381.327100e-06
2.207991.5302481.362995e-06
2.219531.5300581.414826e-06
2.231121.5298651.466928e-06
2.242781.529671.519303e-06
2.25451.5294721.571951e-06
2.266281.5292721.624874e-06
2.278121.529071.678073e-06
2.290031.5288651.731551e-06
2.301991.5286571.785308e-06
2.314021.5284471.839346e-06
2.326111.5282351.893666e-06
2.338271.528021.948270e-06
2.350491.5278022.003159e-06
2.362771.5275812.058336e-06
2.375111.5273582.113800e-06
2.387521.5271312.169554e-06
2.41.5269022.225600e-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
—