Optical constants

Refractive index of PBL26Y (OHARA)

PBL26Y: n,k 0.31–2.4 µm

Data
formula 2 + tabulated k
Range
0.31–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–2.4 µm
Refractive index n
1.56732
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.45649
Permittivity ε2
1.46648e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
42.856
Chromatic dispersion dn/dλ
-0.0675246 µm⁻¹
Group index ng
1.607
Group velocity dispersion
127.262 fs²/mm
Dispersion parameter D
-694.281 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

# PBL26Y (OHARA): PBL26Y
ohara_pbl26y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBL26Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbl26y.range_nm)  # (310, 2400) nm
eps = ohara_pbl26y.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=1.29471773λ2λ2−0.00986579479+0.108880981λ2λ2−0.0477568828+0.220322964λ2λ2−28.8509863

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.29471773
C30.00986579479
C40.108880981
C50.0477568828
C60.220322964
C728.8509863

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.24e-06 1.52e-08 -3.95e-11 7.86e-07 7.36e-10 0.228
nd
1.567322
Vd
42.855569
glass code
567428
density
value: 3100
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
-0.0015
resistance
acid: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.69e-07 K⁻¹ at 633 nm, dn/dT = -3.47e-07 K⁻¹ at 1310 nm, dn/dT = -4.07e-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
PBL26Y (OHARA), PBL26Y: n and k versus wavelength
λ (µm)nk
0.311.6305057.940600e-06
0.3115941.6293246.981201e-06
0.3131971.6281686.016868e-06
0.3148071.6270365.047576e-06
0.3164261.6259284.073299e-06
0.3180531.6248433.094012e-06
0.3196891.623782.109689e-06
0.321.623581.922600e-06
0.3213331.6227381.727327e-06
0.3229861.6217161.485279e-06
0.3246471.6207151.241986e-06
0.3263161.6197339.974420e-07
0.3279941.618777.516405e-07
0.3296811.6178255.045750e-07
0.331.6176494.578600e-07
0.3313761.6168984.112050e-07
0.3330811.6159873.534446e-07
0.3347941.6150942.953872e-07
0.3365151.6142172.370312e-07
0.3382461.6133561.783752e-07
0.3399851.6125091.194174e-07
0.341.6125021.189200e-07
0.3417341.6116781.056005e-07
0.3434911.6108629.209922e-08
0.3452581.6100597.852848e-08
0.3470331.609276.488795e-08
0.3488181.6084955.117727e-08
0.351.6079914.209500e-08
0.3506121.6077334.057483e-08
0.3524151.6069833.609349e-08
0.3542271.6062463.158911e-08
0.3560491.6055212.706155e-08
0.357881.6048082.251072e-08
0.359721.6041071.793648e-08
0.361.6040011.724100e-08
0.361571.6034161.592298e-08
0.363431.6027371.436207e-08
0.3652981.6020681.279313e-08
0.3671771.601411.121613e-08
0.3690651.6007639.631011e-09
0.371.6004478.846400e-09
0.3709631.6001258.577397e-09
0.3728711.5994978.044664e-09
0.3747891.5988797.509192e-09
0.3767161.598276.970965e-09
0.3786531.597676.429971e-09
0.381.597266.053900e-09
0.3806011.5970796.063473e-09
0.3825581.5964976.094672e-09
0.3845251.5959246.126032e-09
0.3865031.5953596.157553e-09
0.388491.5948036.189236e-09
0.391.5943876.213300e-09
0.3904881.5942546.221077e-09
0.3924961.5937146.253066e-09
0.3945151.5931816.285220e-09
0.3965441.5926566.317540e-09
0.3985831.5921386.350025e-09
0.41.5917846.372600e-09
0.4006331.5916286.276793e-09
0.4026931.5911245.964791e-09
0.4047641.5906285.651184e-09
0.4068451.5901395.335964e-09
0.4089381.5896575.019123e-09
0.4110411.5891814.700653e-09
0.4131551.5887124.380545e-09
0.4152791.5882494.058791e-09
0.4174151.5877923.735382e-09
0.4195611.5873423.410310e-09
0.421.5872513.343900e-09
0.4217191.5868983.357593e-09
0.4238881.5864593.374867e-09
0.4260681.5860273.392230e-09
0.4282591.58563.409682e-09
0.4304611.5851793.427224e-09
0.4326751.5847633.444856e-09
0.43491.5843533.462579e-09
0.4371371.5839483.480393e-09
0.4393851.5835493.498298e-09
0.441.5834413.503200e-09
0.4416441.5831553.516288e-09
0.4439151.5827653.534367e-09
0.4461981.5823813.552538e-09
0.4484931.5820023.570804e-09
0.4507991.5816273.589163e-09
0.4531181.5812583.607617e-09
0.4554481.5808933.626165e-09
0.457791.5805323.644809e-09
0.461.5801983.662400e-09
0.4601441.5801763.663549e-09
0.4625111.5798253.682385e-09
0.4648891.5794783.701318e-09
0.467281.5791353.720348e-09
0.4696831.5787963.739477e-09
0.4720981.5784623.758703e-09
0.4745261.5781323.778029e-09
0.4769671.5778053.797454e-09
0.4794191.5774833.816978e-09
0.481.5774083.821600e-09
0.4818851.5771653.836613e-09
0.4843631.576853.856352e-09
0.4868541.576543.876192e-09
0.4893581.5762333.896134e-09
0.4918741.5759293.916178e-09
0.4944041.575633.936326e-09
0.4969461.5753343.956577e-09
0.4995021.5750413.976933e-09
0.51.5749853.980900e-09
0.5020711.5747523.997387e-09
0.5046531.5744664.017944e-09
0.5072481.5741844.038608e-09
0.5098561.5739054.059377e-09
0.5124781.5736294.080254e-09
0.5151141.5733564.101237e-09
0.5177631.5730874.122329e-09
0.5204261.572824.143529e-09
0.5231021.5725574.164838e-09
0.5257921.5722974.186257e-09
0.5284961.572044.207786e-09
0.5312141.5717854.229425e-09
0.5339461.5715344.251176e-09
0.5366921.5712854.273039e-09
0.5394521.5710394.295014e-09
0.5422261.5707964.317102e-09
0.5450141.5705564.339304e-09
0.5478171.5703184.361620e-09
0.551.5701364.379000e-09
0.5506341.5700834.384050e-09
0.5534661.5698514.406590e-09
0.5563121.5696214.429246e-09
0.5591731.5693934.452019e-09
0.5620491.5691694.474909e-09
0.5649391.5689464.497917e-09
0.5678451.5687264.521043e-09
0.5707651.5685094.544288e-09
0.57371.5682944.567652e-09
0.576651.5680814.591137e-09
0.5796161.567874.614742e-09
0.5825971.5676624.638469e-09
0.5855931.5674564.662318e-09
0.5886041.5672524.686289e-09
0.5916311.567054.710384e-09
0.5946741.5668514.734602e-09
0.5977321.5666534.758946e-09
0.61.5665094.777000e-09
0.6008061.5664584.783416e-09
0.6038961.5662644.808016e-09
0.6070011.5660734.832743e-09
0.6101231.5658844.857597e-09
0.613261.5656964.882579e-09
0.6164141.5655114.907689e-09
0.6195841.5653274.932929e-09
0.622771.5651454.958298e-09
0.6259731.5649664.983798e-09
0.6291921.5647885.009428e-09
0.6324281.5646115.035191e-09
0.635681.5644375.061086e-09
0.6389491.5642645.087115e-09
0.6422351.5640935.113277e-09
0.6455381.5639245.139573e-09
0.6488581.5637565.166005e-09
0.651.5636995.175100e-09
0.6521951.5635915.192573e-09
0.6555491.5634265.219278e-09
0.658921.5632645.246120e-09
0.6623081.5631025.273100e-09
0.6657141.5629435.300218e-09
0.6691381.5627855.327476e-09
0.6725791.5626285.354875e-09
0.6760381.5624735.382414e-09
0.6795151.562325.410095e-09
0.6830091.5621685.437918e-09
0.6865211.5620175.465884e-09
0.6900521.5618685.493994e-09
0.6936011.561725.522249e-09
0.6971681.5615745.550649e-09
0.71.5614595.573200e-09
0.7007531.5614295.579195e-09
0.7043571.5612855.607887e-09
0.7079791.5611425.636728e-09
0.711621.5610015.665716e-09
0.7152791.5608615.694854e-09
0.7189581.5607235.724142e-09
0.7226551.5605855.753580e-09
0.7263711.5604495.783169e-09
0.7301071.5603145.812911e-09
0.7338621.560185.842806e-09
0.7376361.5600485.872854e-09
0.7414291.5599165.903057e-09
0.7452421.5597865.933415e-09
0.7490741.5596575.963930e-09
0.7529271.5595295.994601e-09
0.7567991.5594026.025430e-09
0.760691.5592766.056418e-09
0.7646021.5591516.087565e-09
0.7685351.5590276.118872e-09
0.7724871.5589046.150340e-09
0.7764591.5587826.181970e-09
0.7804521.5586626.213762e-09
0.7844661.5585426.245719e-09
0.78851.5584236.277839e-09
0.7925551.5583056.310125e-09
0.7966311.5581886.342576e-09
0.81.5580926.369400e-09
0.8007281.5580726.375195e-09
0.8048461.5579566.407981e-09
0.8089851.5578426.440936e-09
0.8131451.5577296.474061e-09
0.8173271.5576166.507355e-09
0.821531.5575046.540821e-09
0.8257551.5573936.574459e-09
0.8300011.5572836.608270e-09
0.834271.5571746.642255e-09
0.838561.5570656.676415e-09
0.8428721.5569576.710750e-09
0.8472071.556856.745262e-09
0.8515641.5567446.779952e-09
0.8559431.5566386.814819e-09
0.8603451.5565346.849867e-09
0.8647691.5564296.885094e-09
0.8692171.5563266.920503e-09
0.8736871.5562236.956093e-09
0.878181.5561216.991867e-09
0.8826961.556027.027824e-09
0.8872351.5559197.063967e-09
0.8917981.5558197.100295e-09
0.8963841.5557197.136811e-09
0.91.5556417.165600e-09
0.9009941.555627.252721e-09
0.9056271.5555227.658864e-09
0.9102851.5554248.067095e-09
0.9149661.5553278.477427e-09
0.9196711.555238.889868e-09
0.9244011.5551349.304430e-09
0.9291551.5550389.721124e-09
0.9339331.5549431.013996e-08
0.9387361.5548491.056095e-08
0.9435631.5547551.098411e-08
0.9484161.5546611.140944e-08
0.9532931.5545681.183696e-08
0.9581961.5544761.226668e-08
0.9631231.5543831.269861e-08
0.9680761.5542921.313276e-08
0.9730551.55421.356914e-08
0.9780591.554111.400776e-08
0.9830891.5540191.444864e-08
0.9881441.5539291.489179e-08
0.9932261.5538391.533722e-08
0.9983341.553751.578494e-08
11.5537211.593100e-08
1.003471.5536611.615224e-08
1.008631.5535731.648148e-08
1.013821.5534841.681241e-08
1.019031.5533961.714504e-08
1.024271.5533091.747939e-08
1.029541.5532221.781545e-08
1.034831.5531351.815324e-08
1.040151.5530481.849277e-08
1.04551.5529611.883404e-08
1.050881.5528751.917707e-08
1.056281.5527891.952186e-08
1.061721.5527041.986843e-08
1.067181.5526182.021678e-08
1.072661.5525332.056692e-08
1.078181.5524482.091886e-08
1.083721.5523642.127261e-08
1.08931.5522792.162818e-08
1.09491.5521952.198558e-08
1.100531.552112.234481e-08
1.106191.5520262.270590e-08
1.111881.5519422.306884e-08
1.11761.5518592.343365e-08
1.123341.5517752.380033e-08
1.129121.5516922.416890e-08
1.134931.5516082.453936e-08
1.140761.5515252.491173e-08
1.146631.5514422.528602e-08
1.152531.5513592.566223e-08
1.158451.5512762.604037e-08
1.164411.5511932.642046e-08
1.17041.551112.680250e-08
1.176421.5510272.718651e-08
1.182471.5509442.757249e-08
1.188551.5508612.796046e-08
1.194661.5507792.835042e-08
1.21.5507072.869100e-08
1.200811.5506962.875529e-08
1.206981.5506132.924814e-08
1.213191.550532.974352e-08
1.219431.5504473.024146e-08
1.22571.5503643.074195e-08
1.2321.5502813.124502e-08
1.238341.5501983.175067e-08
1.244711.5501153.225893e-08
1.251111.5500323.276980e-08
1.257541.5499483.328329e-08
1.264011.5498653.379943e-08
1.270511.5497813.431822e-08
1.277041.5496983.483968e-08
1.283611.5496143.536382e-08
1.290211.549533.589065e-08
1.296841.5494463.642020e-08
1.303511.5493623.695247e-08
1.310221.5492773.748747e-08
1.316961.5491923.802523e-08
1.323731.5491073.856575e-08
1.330541.5490223.910905e-08
1.337381.5489373.965515e-08
1.344261.5488514.020406e-08
1.351171.5487654.075578e-08
1.358121.5486794.131035e-08
1.36511.5485934.186776e-08
1.372121.5485064.242805e-08
1.379181.5484194.299121e-08
1.386271.5483324.355727e-08
1.39341.5482444.412625e-08
1.41.5481634.465300e-08
1.400571.5481564.474342e-08
1.407771.5480684.589479e-08
1.415011.5479794.705208e-08
1.422281.547894.821532e-08
1.42961.5478014.938455e-08
1.436951.5477115.055979e-08
1.444341.5476215.174107e-08
1.451771.547535.292843e-08
1.459231.5474395.412189e-08
1.466741.5473475.532149e-08
1.474281.5472555.652726e-08
1.481861.5471625.773923e-08
1.489481.5470695.895743e-08
1.497141.5469766.018190e-08
1.504841.5468826.141267e-08
1.512581.5467876.264976e-08
1.520361.5466926.389322e-08
1.528181.5465966.514307e-08
1.536041.54656.639934e-08
1.543941.5464036.766208e-08
1.551881.5463066.893132e-08
1.559861.5462077.020708e-08
1.567881.5461097.148940e-08
1.575941.5460097.277831e-08
1.584051.5459097.407385e-08
1.592191.5458087.537606e-08
1.61.5457127.662400e-08
1.600381.5457077.705759e-08
1.608611.5456058.641472e-08
1.616881.5455029.581997e-08
1.62521.5453981.052736e-07
1.633561.5452941.147758e-07
1.641961.5451881.243269e-07
1.65041.5450821.339271e-07
1.658891.5449751.435767e-07
1.667421.5448681.532759e-07
1.6761.5447591.630250e-07
1.684611.544651.728242e-07
1.693281.5445391.826739e-07
1.701991.5444281.925741e-07
1.710741.5443162.025253e-07
1.719541.5442032.125277e-07
1.728381.5440892.225815e-07
1.737271.5439742.326870e-07
1.74621.5438582.428445e-07
1.755181.5437412.530542e-07
1.764211.5436222.633164e-07
1.773281.5435032.736314e-07
1.78241.5433832.839994e-07
1.791571.5432612.944208e-07
1.81.5431493.040100e-07
1.800781.5431393.060057e-07
1.810041.5430153.297294e-07
1.819351.542893.535751e-07
1.82871.5427643.775435e-07
1.838111.5426374.016351e-07
1.847561.5425084.258506e-07
1.857061.5423784.501906e-07
1.866611.5422474.746558e-07
1.876211.5421154.992468e-07
1.885861.5419815.239643e-07
1.895561.5418455.488089e-07
1.905311.5417095.737812e-07
1.915111.5415715.988820e-07
1.924951.5414316.241118e-07
1.934851.541296.494715e-07
1.94481.5411486.749615e-07
1.954811.5410037.005826e-07
1.964861.5408587.263355e-07
1.974961.540717.522208e-07
1.985121.5405627.782392e-07
1.995331.5404118.043914e-07
21.5403428.163600e-07
2.005591.5402598.505615e-07
2.01591.5401059.136749e-07
2.026271.5399499.771129e-07
2.036691.5397911.040877e-06
2.047161.5396321.104969e-06
2.057691.539471.169391e-06
2.068271.5393071.234144e-06
2.078911.5391421.299230e-06
2.08961.5389751.364651e-06
2.100351.5388061.430408e-06
2.111151.5386341.496504e-06
2.122011.5384611.562939e-06
2.132921.5382861.629716e-06
2.143891.5381081.696836e-06
2.154911.5379281.764302e-06
2.165991.5377461.832114e-06
2.177131.5375611.900276e-06
2.188331.5373741.968787e-06
2.199581.5371852.037652e-06
2.21.5371782.040200e-06
2.21091.5369942.098146e-06
2.222261.5367992.158616e-06
2.233691.5366032.219398e-06
2.245181.5364032.280492e-06
2.256731.5362012.341900e-06
2.268331.5359962.403624e-06
2.281.5357892.465665e-06
2.291721.5355792.528025e-06
2.303511.5353652.590707e-06
2.315351.5351492.653710e-06
2.327261.534932.717037e-06
2.339231.5347082.780690e-06
2.351261.5344822.844671e-06
2.363351.5342542.908980e-06
2.37551.5340222.973621e-06
2.387721.5337873.038593e-06
2.41.5335493.103900e-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
—