Optical constants

Refractive index of PBL1Y (OHARA)

PBL1Y: 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
1.54814
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.39673
Permittivity ε2
1.44853e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
45.733
Chromatic dispersion dn/dλ
-0.0612798 µm⁻¹
Group index ng
1.58415
Group velocity dispersion
113.905 fs²/mm
Dispersion parameter D
-621.411 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

# PBL1Y (OHARA): PBL1Y
ohara_pbl1y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBL1Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbl1y.range_nm)  # (310, 2400) nm
eps = ohara_pbl1y.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=1.24772961λ2λ2−0.00926606623+0.101954909λ2λ2−0.0451754311+0.350479619λ2λ2−45.0186705

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.24772961
C30.00926606623
C40.101954909
C50.0451754311
C60.350479619
C745.0186705

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.01e-06 1.18e-08 -4.19e-11 6.98e-07 6.69e-10 0.226
nd
1.548141
Vd
45.733282
glass code
548457
density
value: 2950
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.06e-05, temperature range: 293 573
dPgF
-0.0019
resistance
acid: 1.0; climatic: 2.0; phosphate: 1.1

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.43e-07 K⁻¹ at 633 nm, dn/dT = -2.59e-07 K⁻¹ at 1310 nm, dn/dT = -3.12e-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
PBL1Y (OHARA), PBL1Y: n and k versus wavelength
λ (µm)nk
0.311.6039093.053700e-06
0.3115941.60292.657462e-06
0.3131971.6019112.259187e-06
0.3148071.6009411.858864e-06
0.3164261.599991.456482e-06
0.3180531.5990581.052030e-06
0.3196891.5981436.454990e-07
0.321.5979715.682300e-07
0.3213331.5972455.089630e-07
0.3229861.5963644.354996e-07
0.3246471.5954993.616583e-07
0.3263161.594652.874373e-07
0.3279941.5938162.128347e-07
0.3296811.5929971.378484e-07
0.331.5928441.236700e-07
0.3313761.5921921.111430e-07
0.3330811.5914029.563428e-08
0.3347941.5906258.004576e-08
0.3365151.5898626.437708e-08
0.3382461.5891124.862782e-08
0.3399851.5883743.279757e-08
0.341.5883683.266400e-08
0.3417341.5876492.942138e-08
0.3434911.5869352.613450e-08
0.3452581.5862342.283071e-08
0.3470331.5855441.950993e-08
0.3488181.5848651.617207e-08
0.351.5844231.396100e-08
0.3506121.5841971.363355e-08
0.3524151.583541.266824e-08
0.3542271.5828931.169797e-08
0.3560491.5822561.072271e-08
0.357881.5816299.742429e-09
0.359721.5810128.757111e-09
0.361.580928.607300e-09
0.361571.5804058.181384e-09
0.363431.5798077.676979e-09
0.3652981.5792187.169980e-09
0.3671771.5786386.660373e-09
0.3690651.5780666.148146e-09
0.371.5777875.894600e-09
0.3709631.5775035.909945e-09
0.3728711.5769485.940336e-09
0.3747891.5764025.970882e-09
0.3767161.5758646.001585e-09
0.3786531.5753336.032447e-09
0.381.574976.053900e-09
0.3806011.574815.876808e-09
0.3825581.5742955.299643e-09
0.3845251.5737874.719510e-09
0.3865031.5732864.136393e-09
0.388491.5727923.550278e-09
0.391.5724243.105100e-09
0.3904881.5723063.108986e-09
0.3924961.5718263.124971e-09
0.3945151.5713523.141038e-09
0.3965441.5708863.157187e-09
0.3985831.5704263.173420e-09
0.41.5701113.184700e-09
0.4006331.5699723.189736e-09
0.4026931.5695243.206136e-09
0.4047641.5690823.222620e-09
0.4068451.5686473.239190e-09
0.4089381.5682173.255844e-09
0.4110411.5677933.272584e-09
0.4131551.5673753.289410e-09
0.4152791.5669623.306323e-09
0.4174151.5665553.323322e-09
0.4195611.5661533.340409e-09
0.421.5660723.343900e-09
0.4217191.5657563.357593e-09
0.4238881.5653653.374867e-09
0.4260681.5649783.392230e-09
0.4282591.5645973.409682e-09
0.4304611.564223.427224e-09
0.4326751.5638493.444856e-09
0.43491.5634823.462579e-09
0.4371371.563123.480393e-09
0.4393851.5627623.498298e-09
0.441.5626653.503200e-09
0.4416441.5624093.516288e-09
0.4439151.562063.534367e-09
0.4461981.5617163.552538e-09
0.4484931.5613763.570804e-09
0.4507991.5610413.589163e-09
0.4531181.5607093.607617e-09
0.4554481.5603823.626165e-09
0.457791.5600583.644809e-09
0.461.5597583.662400e-09
0.4601441.5597393.663549e-09
0.4625111.5594233.682385e-09
0.4648891.5591123.701318e-09
0.467281.5588043.720348e-09
0.4696831.55853.739477e-09
0.4720981.5581993.758703e-09
0.4745261.5579023.778029e-09
0.4769671.5576093.797454e-09
0.4794191.5573193.816978e-09
0.481.5572513.821600e-09
0.4818851.5570333.836613e-09
0.4843631.556753.856352e-09
0.4868541.556473.876192e-09
0.4893581.5561943.896134e-09
0.4918741.555923.916178e-09
0.4944041.5556513.936326e-09
0.4969461.5553843.956577e-09
0.4995021.555123.976933e-09
0.51.5550693.980900e-09
0.5020711.554863.997387e-09
0.5046531.5546024.017944e-09
0.5072481.5543474.038608e-09
0.5098561.5540964.059377e-09
0.5124781.5538474.080254e-09
0.5151141.5536014.101237e-09
0.5177631.5533584.122329e-09
0.5204261.5531174.143529e-09
0.5231021.5528794.164838e-09
0.5257921.5526444.186257e-09
0.5284961.5524124.207786e-09
0.5312141.5521824.229425e-09
0.5339461.5519554.251176e-09
0.5366921.551734.273039e-09
0.5394521.5515084.295014e-09
0.5422261.5512884.317102e-09
0.5450141.551074.339304e-09
0.5478171.5508554.361620e-09
0.551.550694.379000e-09
0.5506341.5506434.384050e-09
0.5534661.5504324.406590e-09
0.5563121.5502244.429246e-09
0.5591731.5500184.452019e-09
0.5620491.5498154.474909e-09
0.5649391.5496134.497917e-09
0.5678451.5494144.521043e-09
0.5707651.5492174.544288e-09
0.57371.5490224.567652e-09
0.576651.5488294.591137e-09
0.5796161.5486384.614742e-09
0.5825971.5484494.638469e-09
0.5855931.5482624.662318e-09
0.5886041.5480774.686289e-09
0.5916311.5478944.710384e-09
0.5946741.5477134.734602e-09
0.5977321.5475334.758946e-09
0.61.5474024.777000e-09
0.6008061.5473564.783416e-09
0.6038961.547184.808016e-09
0.6070011.5470064.832743e-09
0.6101231.5468344.857597e-09
0.613261.5466644.882579e-09
0.6164141.5464954.907689e-09
0.6195841.5463284.932929e-09
0.622771.5461634.958298e-09
0.6259731.5459994.983798e-09
0.6291921.5458375.009428e-09
0.6324281.5456775.035191e-09
0.635681.5455185.061086e-09
0.6389491.5453615.087115e-09
0.6422351.5452055.113277e-09
0.6455381.5450515.139573e-09
0.6488581.5448985.166005e-09
0.651.5448465.175100e-09
0.6521951.5447475.192573e-09
0.6555491.5445975.219278e-09
0.658921.5444485.246120e-09
0.6623081.5443025.273100e-09
0.6657141.5441565.300218e-09
0.6691381.5440125.327476e-09
0.6725791.5438695.354875e-09
0.6760381.5437275.382414e-09
0.6795151.5435875.410095e-09
0.6830091.5434485.437918e-09
0.6865211.5433115.465884e-09
0.6900521.5431745.493994e-09
0.6936011.5430395.522249e-09
0.6971681.5429055.550649e-09
0.71.54285.573200e-09
0.7007531.5427725.579195e-09
0.7043571.5426415.607887e-09
0.7079791.542515.636728e-09
0.711621.5423815.665716e-09
0.7152791.5422535.694854e-09
0.7189581.5421265.724142e-09
0.7226551.5425.753580e-09
0.7263711.5418755.783169e-09
0.7301071.5417525.812911e-09
0.7338621.5416295.842806e-09
0.7376361.5415075.872854e-09
0.7414291.5413875.903057e-09
0.7452421.5412675.933415e-09
0.7490741.5411495.963930e-09
0.7529271.5410315.994601e-09
0.7567991.5409146.025430e-09
0.760691.5407986.056418e-09
0.7646021.5406846.087565e-09
0.7685351.540576.118872e-09
0.7724871.5404576.150340e-09
0.7764591.5403456.181970e-09
0.7804521.5402346.213762e-09
0.7844661.5401236.245719e-09
0.78851.5400146.277839e-09
0.7925551.5399056.310125e-09
0.7966311.5397976.342576e-09
0.81.5397096.369400e-09
0.8007281.539696.375195e-09
0.8048461.5395846.407981e-09
0.8089851.5394786.440936e-09
0.8131451.5393746.474061e-09
0.8173271.539276.507355e-09
0.821531.5391666.540821e-09
0.8257551.5390646.574459e-09
0.8300011.5389626.608270e-09
0.834271.5388616.642255e-09
0.838561.5387616.676415e-09
0.8428721.5386616.710750e-09
0.8472071.5385626.745262e-09
0.8515641.5384636.779952e-09
0.8559431.5383666.814819e-09
0.8603451.5382696.849867e-09
0.8647691.5381726.885094e-09
0.8692171.5380766.920503e-09
0.8736871.5379816.956093e-09
0.878181.5378866.991867e-09
0.8826961.5377927.027824e-09
0.8872351.5376987.063967e-09
0.8917981.5376057.100295e-09
0.8963841.5375137.136811e-09
0.91.5374417.165600e-09
0.9009941.5374217.173513e-09
0.9056271.5373297.210400e-09
0.9102851.5372387.247477e-09
0.9149661.5371487.284744e-09
0.9196711.5370587.322203e-09
0.9244011.5369697.359855e-09
0.9291551.536887.397700e-09
0.9339331.5367917.435740e-09
0.9387361.5367037.473976e-09
0.9435631.5366157.512408e-09
0.9484161.5365287.551038e-09
0.9532931.5364417.589867e-09
0.9581961.5363547.628895e-09
0.9631231.5362687.668124e-09
0.9680761.5361837.707555e-09
0.9730551.5360977.747188e-09
0.9780591.5360127.787026e-09
0.9830891.5359277.827068e-09
0.9881441.5358437.867316e-09
0.9932261.5357597.907771e-09
0.9983341.5356767.948434e-09
11.5356487.961700e-09
1.003471.5355927.989310e-09
1.008631.5355098.030398e-09
1.013821.5354268.071697e-09
1.019031.5353448.113208e-09
1.024271.5352628.154933e-09
1.029541.535188.196872e-09
1.034831.5350988.239027e-09
1.040151.5350168.281399e-09
1.04551.5349358.323989e-09
1.050881.5348548.366797e-09
1.056281.5347738.409826e-09
1.061721.5346938.453076e-09
1.067181.5346128.496549e-09
1.072661.5345328.540245e-09
1.078181.5344528.584166e-09
1.083721.5343728.628313e-09
1.08931.5342928.672687e-09
1.09491.5342138.717289e-09
1.100531.5341338.762120e-09
1.106191.5340548.807182e-09
1.111881.5339748.852475e-09
1.11761.5338958.898002e-09
1.123341.5338168.943763e-09
1.129121.5337378.989759e-09
1.134931.5336589.035991e-09
1.140761.533589.082462e-09
1.146631.5335019.129171e-09
1.152531.5334229.176120e-09
1.158451.5333439.223311e-09
1.164411.5332659.270745e-09
1.17041.5331869.318423e-09
1.176421.5331089.366345e-09
1.182471.5330299.414514e-09
1.188551.532959.462931e-09
1.194661.5328729.511597e-09
1.21.5328039.554100e-09
1.200811.5327939.605451e-09
1.206981.5327149.999123e-09
1.213191.5326361.039482e-08
1.219431.5325571.079255e-08
1.22571.5324781.119233e-08
1.2321.5323991.159416e-08
1.238341.532321.199806e-08
1.244711.5322411.240404e-08
1.251111.5321621.281210e-08
1.257541.5320831.322227e-08
1.264011.5320031.363454e-08
1.270511.5319241.404893e-08
1.277041.5318441.446545e-08
1.283611.5317641.488412e-08
1.290211.5316841.530494e-08
1.296841.5316041.572792e-08
1.303511.5315231.615308e-08
1.310221.5314431.658042e-08
1.316961.5313621.700996e-08
1.323731.5312811.744171e-08
1.330541.53121.787569e-08
1.337381.5311181.831189e-08
1.344261.5310371.875034e-08
1.351171.5309551.919104e-08
1.358121.5308731.963400e-08
1.36511.530792.007925e-08
1.372121.5307072.052678e-08
1.379181.5306242.097662e-08
1.386271.5305412.142877e-08
1.39341.5304572.188325e-08
1.41.530382.230400e-08
1.400571.5303732.238525e-08
1.407771.5302892.341983e-08
1.415011.5302042.445973e-08
1.422281.5301192.550498e-08
1.42961.5300342.655560e-08
1.436951.5299482.761163e-08
1.444341.5298622.867309e-08
1.451771.5297762.974000e-08
1.459231.5296893.081241e-08
1.466741.5296013.189032e-08
1.474281.5295133.297379e-08
1.481861.5294253.406282e-08
1.489481.5293363.515745e-08
1.497141.5292473.625772e-08
1.504841.5291573.736364e-08
1.512581.5290673.847525e-08
1.520361.5289773.959257e-08
1.528181.5288854.071564e-08
1.536041.5287944.184449e-08
1.543941.5287014.297914e-08
1.551881.5286084.411963e-08
1.559861.5285154.526598e-08
1.567881.5284214.641823e-08
1.575941.5283264.757640e-08
1.584051.5282314.874053e-08
1.592191.5281354.991065e-08
1.61.5280435.103200e-08
1.600381.5280395.140301e-08
1.608611.5279425.940965e-08
1.616881.5278446.745746e-08
1.62521.5277467.554667e-08
1.633561.5276478.367747e-08
1.641961.5275479.185008e-08
1.65041.5274461.000647e-07
1.658891.5273451.083216e-07
1.667421.5272431.166210e-07
1.6761.527141.249630e-07
1.684611.5270371.333479e-07
1.693281.5269321.417760e-07
1.701991.5268271.502474e-07
1.710741.5267211.587623e-07
1.719541.5266141.673211e-07
1.728381.5265071.759238e-07
1.737271.5263981.845709e-07
1.74621.5262891.932623e-07
1.755181.5261782.019985e-07
1.764211.5260672.107796e-07
1.773281.5259552.196058e-07
1.78241.5258422.284775e-07
1.791571.5257282.373948e-07
1.81.5256232.456000e-07
1.800781.5256132.471741e-07
1.810041.5254972.658854e-07
1.819351.525382.846929e-07
1.82871.5252623.035972e-07
1.838111.5251433.225987e-07
1.847561.5250223.416979e-07
1.857061.5249013.608954e-07
1.866611.5247793.801915e-07
1.876211.5246553.995869e-07
1.885861.524534.190820e-07
1.895561.5244044.386774e-07
1.905311.5242774.583736e-07
1.915111.5241494.781710e-07
1.924951.524024.980703e-07
1.934851.5238895.180719e-07
1.94481.5237575.381764e-07
1.954811.5236235.583842e-07
1.964861.5234895.786960e-07
1.974961.5233535.991122e-07
1.985121.5232156.196334e-07
1.995331.5230776.402602e-07
21.5230136.497000e-07
2.005591.5229376.728700e-07
2.01591.5227957.156268e-07
2.026271.5226527.586033e-07
2.036691.5225078.018009e-07
2.047161.5223618.452207e-07
2.057691.5222148.888637e-07
2.068271.5220659.327312e-07
2.078911.5219149.768243e-07
2.08961.5217621.021144e-06
2.100351.5216081.065692e-06
2.111151.5214521.110469e-06
2.122011.5212951.155476e-06
2.132921.5211361.200714e-06
2.143891.5209751.246186e-06
2.154911.5208131.291891e-06
2.165991.5206481.337831e-06
2.177131.5204821.384007e-06
2.188331.5203141.430421e-06
2.199581.5201441.477074e-06
2.21.5201381.478800e-06
2.21091.5199721.531238e-06
2.222261.5197981.585961e-06
2.233691.5196231.640966e-06
2.245181.5194451.696253e-06
2.256731.5192651.751825e-06
2.268331.5190831.807682e-06
2.281.5188981.863826e-06
2.291721.5187121.920260e-06
2.303511.5185241.976983e-06
2.315351.5183332.033999e-06
2.327261.518142.091307e-06
2.339231.5179442.148910e-06
2.351261.5177462.206810e-06
2.363351.5175462.265007e-06
2.37551.5173442.323503e-06
2.387721.5171382.382300e-06
2.41.5169312.441400e-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
—