Optical constants

Refractive index of PBL6Y (OHARA)

PBL6Y: 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
1.53172
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.34615
Permittivity ε2
1.43316e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
48.956
Chromatic dispersion dn/dλ
-0.0556798 µm⁻¹
Group index ng
1.56443
Group velocity dispersion
101.778 fs²/mm
Dispersion parameter D
-555.254 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

# PBL6Y (OHARA): PBL6Y
ohara_pbl6y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBL6Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbl6y.range_nm)  # (310, 2400) nm
eps = ohara_pbl6y.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=1.22310794λ2λ2−0.00897805333+0.0811217929λ2λ2−0.0445756957+0.321400939λ2λ2−40.5962247

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.22310794
C30.00897805333
C40.0811217929
C50.0445756957
C60.321400939
C740.5962247

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 9.75e-07 1.49e-08 -3.42e-11 6.21e-07 7.19e-10 0.222
nd
1.531717
Vd
48.956017
glass code
532490
density
value: 2790
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.20e-06 K⁻¹ at 633 nm, dn/dT = 5.77e-07 K⁻¹ at 1310 nm, dn/dT = 5.28e-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
PBL6Y (OHARA), PBL6Y: n and k versus wavelength
λ (µm)nk
0.311.5810412.735000e-06
0.3115941.5801722.394676e-06
0.3131971.5793182.052603e-06
0.3148071.5784811.708770e-06
0.3164261.5776591.363169e-06
0.3180531.5768521.015790e-06
0.3196891.576066.666254e-07
0.321.5759116.002600e-07
0.3213331.5752815.393012e-07
0.3229861.5745174.637408e-07
0.3246471.5737663.877917e-07
0.3263161.5730283.114521e-07
0.3279941.5723032.347199e-07
0.3296811.571591.575931e-07
0.331.5714571.430100e-07
0.3313761.570891.289535e-07
0.3330811.5702011.115511e-07
0.3347941.5695239.405916e-08
0.3365151.5688577.647731e-08
0.3382461.5682015.880503e-08
0.3399851.5675564.104187e-08
0.341.5675514.089200e-08
0.3417341.5669223.670848e-08
0.3434911.5662973.246785e-08
0.3452581.5656832.820541e-08
0.3470331.5650782.392105e-08
0.3488181.5644831.961466e-08
0.351.5640951.676200e-08
0.3506121.5638961.626323e-08
0.3524151.5633191.479288e-08
0.3542271.5627511.331497e-08
0.3560491.5621911.182946e-08
0.357881.561641.033632e-08
0.359721.5610978.835490e-09
0.361.5610158.607300e-09
0.361571.5605628.181384e-09
0.363431.5600347.676979e-09
0.3652981.5595157.169980e-09
0.3671771.5590036.660373e-09
0.3690651.5584996.148146e-09
0.371.5582535.894600e-09
0.3709631.5580025.909945e-09
0.3728711.5575125.940336e-09
0.3747891.5570295.970882e-09
0.3767161.5565526.001585e-09
0.3786531.5560836.032447e-09
0.381.5557626.053900e-09
0.3806011.555626.063473e-09
0.3825581.5551646.094672e-09
0.3845251.5547136.126032e-09
0.3865031.554276.157553e-09
0.388491.5538326.189236e-09
0.391.5535056.213300e-09
0.3904881.55346.065452e-09
0.3924961.5529745.457268e-09
0.3945151.5525544.845956e-09
0.3965441.5521394.231500e-09
0.3985831.551733.613885e-09
0.41.551453.184700e-09
0.4006331.5513273.189736e-09
0.4026931.5509293.206136e-09
0.4047641.5505363.222620e-09
0.4068451.5501483.239190e-09
0.4089381.5497653.255844e-09
0.4110411.5493883.272584e-09
0.4131551.5490153.289410e-09
0.4152791.5486473.306323e-09
0.4174151.5482843.323322e-09
0.4195611.5479253.340409e-09
0.421.5478533.343900e-09
0.4217191.5475713.357593e-09
0.4238881.5472223.374867e-09
0.4260681.5468773.392230e-09
0.4282591.5465363.409682e-09
0.4304611.5461993.427224e-09
0.4326751.5458673.444856e-09
0.43491.5455393.462579e-09
0.4371371.5452153.480393e-09
0.4393851.5448953.498298e-09
0.441.5448093.503200e-09
0.4416441.5445793.516288e-09
0.4439151.5442673.534367e-09
0.4461981.5439593.552538e-09
0.4484931.5436543.570804e-09
0.4507991.5433533.589163e-09
0.4531181.5430563.607617e-09
0.4554481.5427623.626165e-09
0.457791.5424723.644809e-09
0.461.5422033.662400e-09
0.4601441.5421863.663549e-09
0.4625111.5419033.682385e-09
0.4648891.5416233.701318e-09
0.467281.5413463.720348e-09
0.4696831.5410733.739477e-09
0.4720981.5408033.758703e-09
0.4745261.5405363.778029e-09
0.4769671.5402723.797454e-09
0.4794191.5400123.816978e-09
0.481.5399513.821600e-09
0.4818851.5397543.836613e-09
0.4843631.53953.856352e-09
0.4868541.5392483.876192e-09
0.4893581.5389993.896134e-09
0.4918741.5387533.916178e-09
0.4944041.538513.936326e-09
0.4969461.538273.956577e-09
0.4995021.5380323.976933e-09
0.51.5379863.980900e-09
0.5020711.5377973.997387e-09
0.5046531.5375654.017944e-09
0.5072481.5373354.038608e-09
0.5098561.5371084.059377e-09
0.5124781.5368844.080254e-09
0.5151141.5366624.101237e-09
0.5177631.5364424.122329e-09
0.5204261.5362254.143529e-09
0.5231021.536014.164838e-09
0.5257921.5357984.186257e-09
0.5284961.5355884.207786e-09
0.5312141.535384.229425e-09
0.5339461.5351744.251176e-09
0.5366921.5349714.273039e-09
0.5394521.534774.295014e-09
0.5422261.5345714.317102e-09
0.5450141.5343744.339304e-09
0.5478171.534184.361620e-09
0.551.534034.379000e-09
0.5506341.5339874.384050e-09
0.5534661.5337964.406590e-09
0.5563121.5336084.429246e-09
0.5591731.5334214.452019e-09
0.5620491.5332374.474909e-09
0.5649391.5330544.497917e-09
0.5678451.5328734.521043e-09
0.5707651.5326954.544288e-09
0.57371.5325184.567652e-09
0.576651.5323424.591137e-09
0.5796161.5321694.614742e-09
0.5825971.5319974.638469e-09
0.5855931.5318284.662318e-09
0.5886041.5316594.686289e-09
0.5916311.5314934.710384e-09
0.5946741.5313284.734602e-09
0.5977321.5311654.758946e-09
0.61.5310464.777000e-09
0.6008061.5310044.783416e-09
0.6038961.5308444.808016e-09
0.6070011.5306864.832743e-09
0.6101231.5305294.857597e-09
0.613261.5303744.882579e-09
0.6164141.530224.907689e-09
0.6195841.5300684.932929e-09
0.622771.5299184.958298e-09
0.6259731.5297694.983798e-09
0.6291921.5296215.009428e-09
0.6324281.5294755.035191e-09
0.635681.529335.061086e-09
0.6389491.5291865.087115e-09
0.6422351.5290445.113277e-09
0.6455381.5289035.139573e-09
0.6488581.5287645.166005e-09
0.651.5287165.175100e-09
0.6521951.5286255.192573e-09
0.6555491.5284895.219278e-09
0.658921.5283535.246120e-09
0.6623081.5282195.273100e-09
0.6657141.5280855.300218e-09
0.6691381.5279535.327476e-09
0.6725791.5278235.354875e-09
0.6760381.5276935.382414e-09
0.6795151.5275655.410095e-09
0.6830091.5274375.437918e-09
0.6865211.5273115.465884e-09
0.6900521.5271865.493994e-09
0.6936011.5270625.522249e-09
0.6971681.5269395.550649e-09
0.71.5268435.573200e-09
0.7007531.5268185.579195e-09
0.7043571.5266975.607887e-09
0.7079791.5265775.636728e-09
0.711621.5264595.665716e-09
0.7152791.5263415.694854e-09
0.7189581.5262245.724142e-09
0.7226551.5261085.753580e-09
0.7263711.5259945.783169e-09
0.7301071.525885.812911e-09
0.7338621.5257675.842806e-09
0.7376361.5256555.872854e-09
0.7414291.5255445.903057e-09
0.7452421.5254345.933415e-09
0.7490741.5253245.963930e-09
0.7529271.5252165.994601e-09
0.7567991.5251086.025430e-09
0.760691.5250016.056418e-09
0.7646021.5248956.087565e-09
0.7685351.524796.118872e-09
0.7724871.5246866.150340e-09
0.7764591.5245826.181970e-09
0.7804521.5244796.213762e-09
0.7844661.5243776.245719e-09
0.78851.5242766.277839e-09
0.7925551.5241756.310125e-09
0.7966311.5240756.342576e-09
0.81.5239946.369400e-09
0.8007281.5239766.375195e-09
0.8048461.5238786.407981e-09
0.8089851.523786.440936e-09
0.8131451.5236836.474061e-09
0.8173271.5235866.507355e-09
0.821531.523496.540821e-09
0.8257551.5233956.574459e-09
0.8300011.52336.608270e-09
0.834271.5232066.642255e-09
0.838561.5231136.676415e-09
0.8428721.523026.710750e-09
0.8472071.5229286.745262e-09
0.8515641.5228366.779952e-09
0.8559431.5227456.814819e-09
0.8603451.5226556.849867e-09
0.8647691.5225646.885094e-09
0.8692171.5224756.920503e-09
0.8736871.5223866.956093e-09
0.878181.5222976.991867e-09
0.8826961.5222097.027824e-09
0.8872351.5221227.063967e-09
0.8917981.5220357.100295e-09
0.8963841.5219487.136811e-09
0.91.521887.165600e-09
0.9009941.5218627.252721e-09
0.9056271.5217767.658864e-09
0.9102851.5216918.067095e-09
0.9149661.5216068.477427e-09
0.9196711.5215218.889868e-09
0.9244011.5214379.304430e-09
0.9291551.5213539.721124e-09
0.9339331.521271.013996e-08
0.9387361.5211871.056095e-08
0.9435631.5211041.098411e-08
0.9484161.5210221.140944e-08
0.9532931.520941.183696e-08
0.9581961.5208581.226668e-08
0.9631231.5207771.269861e-08
0.9680761.5206961.313276e-08
0.9730551.5206151.356914e-08
0.9780591.5205351.400776e-08
0.9830891.5204551.444864e-08
0.9881441.5203751.489179e-08
0.9932261.5202951.533722e-08
0.9983341.5202161.578494e-08
11.520191.593100e-08
1.003471.5201371.615224e-08
1.008631.5200581.648148e-08
1.013821.5199791.681241e-08
1.019031.5199011.714504e-08
1.024271.5198221.747939e-08
1.029541.5197441.781545e-08
1.034831.5196671.815324e-08
1.040151.5195891.849277e-08
1.04551.5195111.883404e-08
1.050881.5194341.917707e-08
1.056281.5193571.952186e-08
1.061721.519281.986843e-08
1.067181.5192032.021678e-08
1.072661.5191262.056692e-08
1.078181.5190492.091886e-08
1.083721.5189722.127261e-08
1.08931.5188962.162818e-08
1.09491.5188192.198558e-08
1.100531.5187432.234481e-08
1.106191.5186672.270590e-08
1.111881.518592.306884e-08
1.11761.5185142.343365e-08
1.123341.5184382.380033e-08
1.129121.5183622.416890e-08
1.134931.5182862.453936e-08
1.140761.5182092.491173e-08
1.146631.5181332.528602e-08
1.152531.5180572.566223e-08
1.158451.5179812.604037e-08
1.164411.5179052.642046e-08
1.17041.5178292.680250e-08
1.176421.5177522.718651e-08
1.182471.5176762.757249e-08
1.188551.51762.796046e-08
1.194661.5175232.835042e-08
1.21.5174572.869100e-08
1.200811.5174472.875529e-08
1.206981.517372.924814e-08
1.213191.5172932.974352e-08
1.219431.5172173.024146e-08
1.22571.517143.074195e-08
1.2321.5170633.124502e-08
1.238341.5169853.175067e-08
1.244711.5169083.225893e-08
1.251111.516833.276980e-08
1.257541.5167533.328329e-08
1.264011.5166753.379943e-08
1.270511.5165973.431822e-08
1.277041.5165183.483968e-08
1.283611.516443.536382e-08
1.290211.5163613.589065e-08
1.296841.5162823.642020e-08
1.303511.5162033.695247e-08
1.310221.5161243.748747e-08
1.316961.5160443.802523e-08
1.323731.5159643.856575e-08
1.330541.5158843.910905e-08
1.337381.5158043.965515e-08
1.344261.5157234.020406e-08
1.351171.5156424.075578e-08
1.358121.515564.131035e-08
1.36511.5154794.186776e-08
1.372121.5153974.242805e-08
1.379181.5153144.299121e-08
1.386271.5152324.355727e-08
1.39341.5151484.412625e-08
1.41.5150714.465300e-08
1.400571.5150654.477967e-08
1.407771.5149814.639258e-08
1.415011.5148974.801379e-08
1.422281.5148124.964333e-08
1.42961.5147275.128125e-08
1.436951.5146415.292760e-08
1.444341.5145555.458242e-08
1.451771.5144695.624574e-08
1.459231.5143825.791762e-08
1.466741.5142945.959810e-08
1.474281.5142066.128721e-08
1.481861.5141186.298502e-08
1.489481.5140296.469155e-08
1.497141.5139396.640687e-08
1.504841.5138496.813100e-08
1.512581.5137596.986400e-08
1.520361.5136677.160591e-08
1.528181.5135767.335678e-08
1.536041.5134837.511666e-08
1.543941.513397.688558e-08
1.551881.5132977.866360e-08
1.559861.5132038.045077e-08
1.567881.5131088.224712e-08
1.575941.5130128.405272e-08
1.584051.5129168.586760e-08
1.592191.5128198.769181e-08
1.61.5127268.944000e-08
1.600381.5127229.001705e-08
1.608611.5126231.024701e-07
1.616881.5125241.149872e-07
1.62521.5124241.275687e-07
1.633561.5123241.402149e-07
1.641961.5122231.529261e-07
1.65041.5121211.657027e-07
1.658891.5120181.785450e-07
1.667421.5119141.914533e-07
1.6761.511812.044281e-07
1.684611.5117042.174695e-07
1.693281.5115982.305780e-07
1.701991.5114912.437540e-07
1.710741.5113832.569976e-07
1.719541.5112742.703094e-07
1.728381.5111642.836897e-07
1.737271.5110532.971387e-07
1.74621.5109413.106570e-07
1.755181.5108293.242447e-07
1.764211.5107153.379023e-07
1.773281.51063.516302e-07
1.78241.5104843.654286e-07
1.791571.5103683.792980e-07
1.81.510263.920600e-07
1.800781.510253.948320e-07
1.810041.5101314.277836e-07
1.819351.5100114.609046e-07
1.82871.5098894.941960e-07
1.838111.5097675.276585e-07
1.847561.5096435.612932e-07
1.857061.5095195.951008e-07
1.866611.5093936.290823e-07
1.876211.5092656.632385e-07
1.885861.5091376.975704e-07
1.895561.5090077.320788e-07
1.905311.5088767.667648e-07
1.915111.5087448.016290e-07
1.924951.508618.366726e-07
1.934851.5084758.718964e-07
1.94481.5083399.073014e-07
1.954811.5082019.428884e-07
1.964861.5080629.786584e-07
1.974961.5079211.014612e-06
1.985121.5077791.050751e-06
1.995331.5076361.087076e-06
21.507571.103700e-06
2.005591.507491.146647e-06
2.01591.5073441.225900e-06
2.026271.5071951.305561e-06
2.036691.5070451.385631e-06
2.047161.5068941.466113e-06
2.057691.5067411.547008e-06
2.068271.5065861.628320e-06
2.078911.5064291.710050e-06
2.08961.5062711.792200e-06
2.100351.506111.874773e-06
2.111151.5059481.957770e-06
2.122011.5057852.041194e-06
2.132921.5056192.125047e-06
2.143891.5054512.209332e-06
2.154911.5052822.294049e-06
2.165991.505112.379203e-06
2.177131.5049372.464794e-06
2.188331.5047612.550826e-06
2.199581.5045842.637300e-06
2.21.5045772.640500e-06
2.21091.5044042.715895e-06
2.222261.5042222.794574e-06
2.233691.5040382.873658e-06
2.245181.5038522.953148e-06
2.256731.5036633.033047e-06
2.268331.5034723.113357e-06
2.281.5032793.194081e-06
2.291721.5030833.275219e-06
2.303511.5028853.356774e-06
2.315351.5026853.438749e-06
2.327261.5024823.521146e-06
2.339231.5022773.603966e-06
2.351261.5020693.687212e-06
2.363351.5018583.770886e-06
2.37551.5016443.854991e-06
2.387721.5014283.939528e-06
2.41.5012094.024500e-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
—