Optical constants

Refractive index of PBL25Y (OHARA)

PBL25Y: 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
1.58144
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.50094
Permittivity ε2
1.47969e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
40.768
Chromatic dispersion dn/dλ
-0.0726341 µm⁻¹
Group index ng
1.62412
Group velocity dispersion
138.13 fs²/mm
Dispersion parameter D
-753.572 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

# PBL25Y (OHARA): PBL25Y
ohara_pbl25y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBL25Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbl25y.range_nm)  # (310, 2400) nm
eps = ohara_pbl25y.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=1.31960626λ2λ2−0.0101863415+0.123752633λ2λ2−0.0483593508+0.210055351λ2λ2−27.3272029

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.31960626
C30.0101863415
C40.123752633
C50.0483593508
C60.210055351
C727.3272029

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.78e-07 1.35e-08 -3.9e-11 8.57e-07 7.83e-10 0.228
nd
1.581439
Vd
40.768047
glass code
581408
density
value: 3230
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 9.8e-06, temperature range: 293 573
dPgF
-0.0016
resistance
acid: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.34e-06 K⁻¹ at 633 nm, dn/dT = 4.12e-07 K⁻¹ at 1310 nm, dn/dT = 3.41e-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
PBL25Y (OHARA), PBL25Y: n and k versus wavelength
λ (µm)nk
0.311.6505861.136100e-05
0.3115941.649279.976009e-06
0.3131971.6479848.583896e-06
0.3148071.6467257.184624e-06
0.3164261.6454945.778155e-06
0.3180531.6442894.364454e-06
0.3196891.6431092.943482e-06
0.321.6428882.673400e-06
0.3213331.6419532.403978e-06
0.3229861.6408212.070019e-06
0.3246471.6397121.734344e-06
0.3263161.6386251.396942e-06
0.3279941.6375591.057805e-06
0.3296811.6365147.169235e-07
0.331.636326.524700e-07
0.3313761.635495.857016e-07
0.3330811.6344845.030402e-07
0.3347941.6334984.199538e-07
0.3365151.632533.364400e-07
0.3382461.631582.524968e-07
0.3399851.6306471.681219e-07
0.341.630641.674100e-07
0.3417341.6297321.476485e-07
0.3434911.6288321.276171e-07
0.3452581.6279491.074828e-07
0.3470331.6270818.724493e-08
0.3488181.6262286.690298e-08
0.351.6256745.342800e-08
0.3506121.625395.139100e-08
0.3524151.6245664.538607e-08
0.3542271.6237573.935025e-08
0.3560491.6229613.328340e-08
0.357881.6221782.718535e-08
0.359721.6214082.105594e-08
0.361.6212922.012400e-08
0.361571.6206511.881722e-08
0.363431.6199061.726962e-08
0.3652981.6191731.571407e-08
0.3671771.6184521.415051e-08
0.3690651.6177431.257892e-08
0.371.6173971.180100e-08
0.3709631.6170451.153941e-08
0.3728711.6163581.102137e-08
0.3747891.6156811.050066e-08
0.3767161.6150159.977278e-09
0.3786531.6143599.451201e-09
0.381.6139119.085500e-09
0.3806011.6137148.913008e-09
0.3825581.6130788.350836e-09
0.3845251.6124517.785773e-09
0.3865031.6118347.217803e-09
0.388491.6112276.646913e-09
0.391.6107736.213300e-09
0.3904881.6106286.221077e-09
0.3924961.6100386.253066e-09
0.3945151.6094576.285220e-09
0.3965441.6088846.317540e-09
0.3985831.608326.350025e-09
0.41.6079346.372600e-09
0.4006331.6077646.382678e-09
0.4026931.6072156.415499e-09
0.4047641.6066756.448488e-09
0.4068451.6061426.481647e-09
0.4089381.6056176.514977e-09
0.4110411.6050996.548478e-09
0.4131551.6045886.582151e-09
0.4152791.6040846.615998e-09
0.4174151.6035886.650019e-09
0.4195611.6030986.684214e-09
0.421.6029996.691200e-09
0.4217191.6026156.718585e-09
0.4238881.6021386.753134e-09
0.4260681.6016686.787859e-09
0.4282591.6012046.822764e-09
0.4304611.6007476.857848e-09
0.4326751.6002966.893112e-09
0.43491.599856.928557e-09
0.4371371.5994116.964185e-09
0.4393851.5989776.999997e-09
0.441.598867.009800e-09
0.4416441.5985496.734613e-09
0.4439151.5981276.354480e-09
0.4461981.597715.972392e-09
0.4484931.5972995.588339e-09
0.4507991.5968925.202311e-09
0.4531181.5964924.814298e-09
0.4554481.5960964.424290e-09
0.457791.5957054.032276e-09
0.461.5953433.662400e-09
0.4601441.5953193.663549e-09
0.4625111.5949393.682385e-09
0.4648891.5945633.701318e-09
0.467281.5941913.720348e-09
0.4696831.5938253.739477e-09
0.4720981.5934633.758703e-09
0.4745261.5931053.778029e-09
0.4769671.5927523.797454e-09
0.4794191.5924033.816978e-09
0.481.5923223.821600e-09
0.4818851.5920593.836613e-09
0.4843631.5917193.856352e-09
0.4868541.5913833.876192e-09
0.4893581.5910513.896134e-09
0.4918741.5907233.916178e-09
0.4944041.5903993.936326e-09
0.4969461.5900793.956577e-09
0.4995021.5897623.976933e-09
0.51.5897013.980900e-09
0.5020711.589453.997387e-09
0.5046531.5891414.017944e-09
0.5072481.5888364.038608e-09
0.5098561.5885354.059377e-09
0.5124781.5882374.080254e-09
0.5151141.5879434.101237e-09
0.5177631.5876524.122329e-09
0.5204261.5873644.143529e-09
0.5231021.587084.164838e-09
0.5257921.5867994.186257e-09
0.5284961.5865214.207786e-09
0.5312141.5862474.229425e-09
0.5339461.5859764.251176e-09
0.5366921.5857084.273039e-09
0.5394521.5854434.295014e-09
0.5422261.585184.317102e-09
0.5450141.5849214.339304e-09
0.5478171.5846654.361620e-09
0.551.5844694.379000e-09
0.5506341.5844124.384050e-09
0.5534661.5841614.406590e-09
0.5563121.5839144.429246e-09
0.5591731.5836694.452019e-09
0.5620491.5834274.474909e-09
0.5649391.5831874.497917e-09
0.5678451.5829514.521043e-09
0.5707651.5827164.544288e-09
0.57371.5824854.567652e-09
0.576651.5822564.591137e-09
0.5796161.5820294.614742e-09
0.5825971.5818054.638469e-09
0.5855931.5815834.662318e-09
0.5886041.5813644.686289e-09
0.5916311.5811474.710384e-09
0.5946741.5809324.734602e-09
0.5977321.580724.758946e-09
0.61.5805654.777000e-09
0.6008061.580514.783416e-09
0.6038961.5803024.808016e-09
0.6070011.5800964.832743e-09
0.6101231.5798934.857597e-09
0.613261.5796914.882579e-09
0.6164141.5794924.907689e-09
0.6195841.5792954.932929e-09
0.622771.57914.958298e-09
0.6259731.5789074.983798e-09
0.6291921.5787165.009428e-09
0.6324281.5785265.035191e-09
0.635681.5783395.061086e-09
0.6389491.5781545.087115e-09
0.6422351.577975.113277e-09
0.6455381.5777895.139573e-09
0.6488581.5776095.166005e-09
0.651.5775485.175100e-09
0.6521951.5774315.192573e-09
0.6555491.5772555.219278e-09
0.658921.577085.246120e-09
0.6623081.5769085.273100e-09
0.6657141.5767375.300218e-09
0.6691381.5765675.327476e-09
0.6725791.57645.354875e-09
0.6760381.5762345.382414e-09
0.6795151.5760695.410095e-09
0.6830091.5759065.437918e-09
0.6865211.5757455.465884e-09
0.6900521.5755855.493994e-09
0.6936011.5754275.522249e-09
0.6971681.575275.550649e-09
0.71.5751475.573200e-09
0.7007531.5751155.579195e-09
0.7043571.5749615.607887e-09
0.7079791.5748095.636728e-09
0.711621.5746585.665716e-09
0.7152791.5745085.694854e-09
0.7189581.574365.724142e-09
0.7226551.5742135.753580e-09
0.7263711.5740685.783169e-09
0.7301071.5739235.812911e-09
0.7338621.5737815.842806e-09
0.7376361.5736395.872854e-09
0.7414291.5734995.903057e-09
0.7452421.5733595.933415e-09
0.7490741.5732215.963930e-09
0.7529271.5730855.994601e-09
0.7567991.5729496.025430e-09
0.760691.5728156.056418e-09
0.7646021.5726826.087565e-09
0.7685351.5725496.118872e-09
0.7724871.5724186.150340e-09
0.7764591.5722896.181970e-09
0.7804521.572166.213762e-09
0.7844661.5720326.245719e-09
0.78851.5719056.277839e-09
0.7925551.571786.310125e-09
0.7966311.5716556.342576e-09
0.81.5715536.369400e-09
0.8007281.5715316.375195e-09
0.8048461.5714096.407981e-09
0.8089851.5712876.440936e-09
0.8131451.5711666.474061e-09
0.8173271.5710466.507355e-09
0.821531.5709276.540821e-09
0.8257551.5708096.574459e-09
0.8300011.5706926.608270e-09
0.834271.5705766.642255e-09
0.838561.5704616.676415e-09
0.8428721.5703466.710750e-09
0.8472071.5702336.745262e-09
0.8515641.570126.779952e-09
0.8559431.5700086.814819e-09
0.8603451.5698966.849867e-09
0.8647691.5697866.885094e-09
0.8692171.5696766.920503e-09
0.8736871.5695676.956093e-09
0.878181.5694596.991867e-09
0.8826961.5693517.027824e-09
0.8872351.5692457.063967e-09
0.8917981.5691387.100295e-09
0.8963841.5690337.136811e-09
0.91.5689517.165600e-09
0.9009941.5689287.252721e-09
0.9056271.5688247.658864e-09
0.9102851.5687218.067095e-09
0.9149661.5686188.477427e-09
0.9196711.5685168.889868e-09
0.9244011.5684149.304430e-09
0.9291551.5683139.721124e-09
0.9339331.5682121.013996e-08
0.9387361.5681131.056095e-08
0.9435631.5680131.098411e-08
0.9484161.5679151.140944e-08
0.9532931.5678161.183696e-08
0.9581961.5677191.226668e-08
0.9631231.5676211.269861e-08
0.9680761.5675251.313276e-08
0.9730551.5674281.356914e-08
0.9780591.5673331.400776e-08
0.9830891.5672371.444864e-08
0.9881441.5671421.489179e-08
0.9932261.5670481.533722e-08
0.9983341.5669541.578494e-08
11.5669241.593100e-08
1.003471.566861.598626e-08
1.008631.5667671.606849e-08
1.013821.5666741.615115e-08
1.019031.5665821.623423e-08
1.024271.566491.631773e-08
1.029541.5663981.640167e-08
1.034831.5663071.648604e-08
1.040151.5662161.657084e-08
1.04551.5661251.665608e-08
1.050881.5660351.674175e-08
1.056281.5659451.682787e-08
1.061721.5658551.691443e-08
1.067181.5657651.700144e-08
1.072661.5656761.708889e-08
1.078181.5655871.717679e-08
1.083721.5654991.726515e-08
1.08931.565411.735396e-08
1.09491.5653221.744322e-08
1.100531.5652341.753295e-08
1.106191.5651461.762313e-08
1.111881.5650581.771378e-08
1.11761.5649711.780490e-08
1.123341.5648831.789648e-08
1.129121.5647961.798854e-08
1.134931.5647091.808107e-08
1.140761.5646221.817407e-08
1.146631.5645351.826755e-08
1.152531.5644491.836152e-08
1.158451.5643621.845597e-08
1.164411.5642761.855090e-08
1.17041.564191.864632e-08
1.176421.5641031.874223e-08
1.182471.5640171.883864e-08
1.188551.5639311.893554e-08
1.194661.5638451.903294e-08
1.21.563771.911800e-08
1.200811.5637591.922084e-08
1.206981.5636722.000928e-08
1.213191.5635862.080176e-08
1.219431.56352.159832e-08
1.22571.5634142.239898e-08
1.2321.5633282.320376e-08
1.238341.5632422.401267e-08
1.244711.5631562.482574e-08
1.251111.5630692.564300e-08
1.257541.5629832.646446e-08
1.264011.5628962.729014e-08
1.270511.562812.812007e-08
1.277041.5627232.895427e-08
1.283611.5626362.979275e-08
1.290211.5625493.063555e-08
1.296841.5624623.148268e-08
1.303511.5623753.233417e-08
1.310221.5622883.319004e-08
1.316961.56223.405031e-08
1.323731.5621123.491501e-08
1.330541.5620253.578415e-08
1.337381.5619363.665776e-08
1.344261.5618483.753586e-08
1.351171.5617593.841848e-08
1.358121.5616713.930564e-08
1.36511.5615814.019736e-08
1.372121.5614924.109366e-08
1.379181.5614024.199458e-08
1.386271.5613124.290013e-08
1.39341.5612224.381033e-08
1.41.5611394.465300e-08
1.400571.5611314.474342e-08
1.407771.561044.589479e-08
1.415011.5609494.705208e-08
1.422281.5608574.821532e-08
1.42961.5607654.938455e-08
1.436951.5606735.055979e-08
1.444341.560585.174107e-08
1.451771.5604875.292843e-08
1.459231.5603935.412189e-08
1.466741.5602995.532149e-08
1.474281.5602045.652726e-08
1.481861.5601095.773923e-08
1.489481.5600145.895743e-08
1.497141.5599186.018190e-08
1.504841.5598216.141267e-08
1.512581.5597246.264976e-08
1.520361.5596266.389322e-08
1.528181.5595286.514307e-08
1.536041.559436.639934e-08
1.543941.559336.766208e-08
1.551881.559236.893132e-08
1.559861.559137.020708e-08
1.567881.5590287.148940e-08
1.575941.5589277.277831e-08
1.584051.5588247.407385e-08
1.592191.5587217.537606e-08
1.61.5586227.662400e-08
1.600381.5586177.705759e-08
1.608611.5585128.641472e-08
1.616881.5584079.581997e-08
1.62521.5583011.052736e-07
1.633561.5581941.147758e-07
1.641961.5580861.243269e-07
1.65041.5579781.339271e-07
1.658891.5578681.435767e-07
1.667421.5577581.532759e-07
1.6761.5576471.630250e-07
1.684611.5575351.728242e-07
1.693281.5574221.826739e-07
1.701991.5573091.925741e-07
1.710741.5571942.025253e-07
1.719541.5570782.125277e-07
1.728381.5569622.225815e-07
1.737271.5568442.326870e-07
1.74621.5567252.428445e-07
1.755181.5566062.530542e-07
1.764211.5564852.633164e-07
1.773281.5563632.736314e-07
1.78241.556242.839994e-07
1.791571.5561162.944208e-07
1.81.5560023.040100e-07
1.800781.5559913.058103e-07
1.810041.5558653.272104e-07
1.819351.5557373.487207e-07
1.82871.5556083.703415e-07
1.838111.5554783.920736e-07
1.847561.5553474.139174e-07
1.857061.5552144.358735e-07
1.866611.555084.579426e-07
1.876211.5549454.801251e-07
1.885861.5548085.024218e-07
1.895561.554675.248330e-07
1.905311.554535.473596e-07
1.915111.5543895.700020e-07
1.924951.5542475.927608e-07
1.934851.5541026.156367e-07
1.94481.5539576.386302e-07
1.954811.553816.617419e-07
1.964861.5536616.849725e-07
1.974961.553517.083226e-07
1.985121.5533587.317928e-07
1.995331.5532047.553836e-07
21.5531337.661800e-07
2.005591.5530497.936068e-07
2.01591.5528918.442186e-07
2.026271.5527328.950908e-07
2.036691.5525719.462245e-07
2.047161.5524089.976212e-07
2.057691.5522431.049282e-06
2.068271.5520761.101209e-06
2.078911.5519071.153403e-06
2.08961.5517361.205865e-06
2.100351.5515631.258597e-06
2.111151.5513881.311600e-06
2.122011.551211.364876e-06
2.132921.5510311.418425e-06
2.143891.5508491.472250e-06
2.154911.5506651.526352e-06
2.165991.5504781.580732e-06
2.177131.5502891.635392e-06
2.188331.5500981.690333e-06
2.199581.5499041.745556e-06
2.21.5498971.747600e-06
2.21091.5497081.797287e-06
2.222261.5495091.849140e-06
2.233691.5493071.901258e-06
2.245181.5491021.953645e-06
2.256731.5488952.006301e-06
2.268331.5486852.059228e-06
2.281.5484722.112427e-06
2.291721.5482572.165900e-06
2.303511.5480382.219648e-06
2.315351.5478162.273672e-06
2.327261.5475912.327974e-06
2.339231.5473632.382555e-06
2.351261.5471312.437417e-06
2.363351.5468962.492561e-06
2.37551.5466582.547988e-06
2.387721.5464162.603701e-06
2.41.5461712.659700e-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
—