Optical constants

Refractive index of PBM18Y (OHARA)

PBM18Y: n,k 0.32–2.4 µm

Data
formula 2 + tabulated k
Range
0.32–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.4 µm
Refractive index n
1.59551
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.54564
Permittivity ε2
1.49285e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
38.767
Chromatic dispersion dn/dλ
-0.0781214 µm⁻¹
Group index ng
1.64141
Group velocity dispersion
149.783 fs²/mm
Dispersion parameter D
-817.146 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

# PBM18Y (OHARA): PBM18Y
ohara_pbm18y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBM18Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbm18y.range_nm)  # (320, 2400) nm
eps = ohara_pbm18y.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=1.34660215λ2λ2−0.0106313733+0.136322343λ2λ2−0.0491403013+0.183371587λ2λ2−23.9154655

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.34660215
C30.0106313733
C40.136322343
C50.0491403013
C60.183371587
C723.9154655

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.72e-06 1.37e-08 -4.2e-11 9e-07 7.36e-10 0.236
nd
1.595509
Vd
38.767114
glass code
596387
density
value: 3370
thermal expansion
value: 8.8e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
-0.0018
resistance
acid: 1.0; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.09e-06 K⁻¹ at 633 nm, dn/dT = 1.06e-06 K⁻¹ at 1310 nm, dn/dT = 9.84e-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 426 wavelengths, the same grid as the API and the library
PBM18Y (OHARA), PBM18Y: n and k versus wavelength
λ (µm)nk
0.321.6625043.855700e-06
0.321621.6612513.395136e-06
0.3232481.6600242.932241e-06
0.3248851.6588232.467002e-06
0.326531.6576451.999407e-06
0.3281831.6564911.529446e-06
0.3298441.6553591.057105e-06
0.331.6552551.012800e-06
0.3315141.654258.971922e-07
0.3331921.6531627.690391e-07
0.3348791.6520946.402372e-07
0.3365751.6510475.107833e-07
0.3382791.6500193.806739e-07
0.3399911.649012.499059e-07
0.341.6490052.492300e-07
0.3417121.6480192.186267e-07
0.3434421.6470461.877095e-07
0.3451811.6460911.566358e-07
0.3469291.6451531.254048e-07
0.3486851.6442319.401566e-08
0.351.6435547.051500e-08
0.350451.6433256.863625e-08
0.3522251.6424356.123372e-08
0.3540081.641565.379371e-08
0.35581.6406994.631603e-08
0.3576011.6398543.880050e-08
0.3594121.6390223.124692e-08
0.361.6387562.879200e-08
0.3612311.6382042.706427e-08
0.363061.63742.449793e-08
0.3648981.6366082.191860e-08
0.3667451.6358291.932621e-08
0.3686021.6350631.672070e-08
0.371.6344971.475900e-08
0.3704681.6343091.449337e-08
0.3723441.6335671.342928e-08
0.3742291.6328371.235980e-08
0.3761231.6321181.128490e-08
0.3780281.631411.020456e-08
0.3799411.6307139.118755e-09
0.381.6306929.085500e-09
0.3818651.6300268.549864e-09
0.3837981.6293517.994596e-09
0.3857411.6286857.436517e-09
0.3876941.6280296.875612e-09
0.3896571.6273836.311868e-09
0.391.6272716.213300e-09
0.391631.6267466.239258e-09
0.3936121.6261196.270842e-09
0.3956051.6255016.302586e-09
0.3976081.6248926.334491e-09
0.3996211.6242926.366558e-09
0.41.624186.372600e-09
0.4016441.62376.398786e-09
0.4036771.6231176.431178e-09
0.4057211.6225436.463734e-09
0.4077751.6219766.496454e-09
0.4098391.6214176.529341e-09
0.4119141.6208666.562393e-09
0.4141.6203236.595614e-09
0.4160961.6197876.629002e-09
0.4182021.6192596.662559e-09
0.421.6188166.691200e-09
0.4203191.6187386.640305e-09
0.4224471.6182246.301113e-09
0.4245861.6177175.960203e-09
0.4267351.6172175.617568e-09
0.4288961.6167235.273198e-09
0.4310671.6162364.927085e-09
0.433251.6157564.579219e-09
0.4354431.6152824.229592e-09
0.4376471.6148153.878195e-09
0.4398631.6143533.525019e-09
0.441.6143253.503200e-09
0.442091.6138983.519836e-09
0.4443281.6134483.537652e-09
0.4465781.6130043.555558e-09
0.4488381.6125663.573554e-09
0.4511111.6121343.591642e-09
0.4533951.6117073.609821e-09
0.455691.6112863.628092e-09
0.4579971.610873.646456e-09
0.461.6105153.662400e-09
0.4603161.6104593.664913e-09
0.4626461.6100543.683463e-09
0.4649881.6096543.702107e-09
0.4673421.6092583.720845e-09
0.4697081.6088683.739679e-09
0.4720861.6084823.758607e-09
0.4744761.6081013.777632e-09
0.4768781.6077253.796753e-09
0.4792931.6073543.815970e-09
0.481.6072463.821600e-09
0.4817191.6069873.835294e-09
0.4841581.6066253.854719e-09
0.4866091.6062673.874242e-09
0.4890731.6059133.893864e-09
0.4915491.6055643.913585e-09
0.4940371.6052183.933407e-09
0.4965381.6048773.953328e-09
0.4990521.604543.973351e-09
0.51.6044153.980900e-09
0.5015791.6042073.993470e-09
0.5041181.6038784.013688e-09
0.506671.6035534.034008e-09
0.5092351.6032324.054431e-09
0.5118131.6029154.074958e-09
0.5144051.6026014.095589e-09
0.5170091.6022914.116324e-09
0.5196261.6019844.137164e-09
0.5222571.6016824.158109e-09
0.5249011.6013824.179161e-09
0.5275581.6010864.200319e-09
0.5302291.6007944.221584e-09
0.5329131.6005044.242957e-09
0.5356111.6002194.264438e-09
0.5383231.5999364.286028e-09
0.5410481.5996574.307727e-09
0.5437881.599384.329536e-09
0.5465411.5991074.351456e-09
0.5493081.5988374.373486e-09
0.551.598774.379000e-09
0.5520881.598574.395624e-09
0.5548831.5983064.417873e-09
0.5576931.5980454.440234e-09
0.5605161.5977874.462708e-09
0.5633541.5975314.485296e-09
0.5662061.5972794.507999e-09
0.5690721.5970294.530816e-09
0.5719531.5967824.553749e-09
0.5748491.5965374.576798e-09
0.5777591.5962964.599963e-09
0.5806841.5960574.623246e-09
0.5836241.595824.646647e-09
0.5865791.5955864.670167e-09
0.5895481.5953554.693805e-09
0.5925331.5951264.717563e-09
0.5955331.5948994.741441e-09
0.5985481.5946754.765441e-09
0.61.5945694.777000e-09
0.6015781.5944544.789564e-09
0.6046241.5942344.813813e-09
0.6076851.5940174.838185e-09
0.6107611.5938024.862680e-09
0.6138531.593594.887299e-09
0.6169611.5933794.912043e-09
0.6200841.5931714.936912e-09
0.6232241.5929654.961907e-09
0.6263791.5927614.987028e-09
0.629551.592565.012277e-09
0.6327371.592365.037653e-09
0.635941.5921625.063158e-09
0.639161.5919675.088792e-09
0.6423961.5917735.114556e-09
0.6456481.5915815.140450e-09
0.6489171.5913915.166476e-09
0.651.5913295.175100e-09
0.6522021.5912035.192633e-09
0.6555041.5910175.218922e-09
0.6588231.5908335.245345e-09
0.6621581.5906515.271901e-09
0.665511.590475.298592e-09
0.6688791.5902915.325418e-09
0.6722661.5901145.352380e-09
0.6756691.5899395.379478e-09
0.679091.5897655.406713e-09
0.6825281.5895935.434087e-09
0.6859831.5894235.461599e-09
0.6894561.5892545.489250e-09
0.6929471.5890875.517041e-09
0.6964551.5889225.544973e-09
0.6999811.5887585.573046e-09
0.71.5887575.573200e-09
0.7035241.5885955.601262e-09
0.7070861.5884355.629620e-09
0.7106661.5882755.658122e-09
0.7142641.5881175.686768e-09
0.717881.5879615.715559e-09
0.7215141.5878065.744496e-09
0.7251671.5876525.773579e-09
0.7288381.58755.802810e-09
0.7325281.5873495.832189e-09
0.7362371.58725.861716e-09
0.7399641.5870515.891393e-09
0.743711.5869055.921220e-09
0.7474751.5867595.951198e-09
0.7512591.5866155.981328e-09
0.7550631.5864726.011610e-09
0.7588851.586336.042046e-09
0.7627271.5861896.072636e-09
0.7665891.586056.103381e-09
0.770471.5859126.134281e-09
0.774371.5857756.165338e-09
0.7782911.5856396.196552e-09
0.7822311.5855046.227924e-09
0.7861911.5853716.259454e-09
0.7901711.5852386.291145e-09
0.7941721.5851076.322996e-09
0.7981921.5849776.355008e-09
0.81.5849196.369400e-09
0.8022331.5848476.387182e-09
0.8062951.5847196.419519e-09
0.8103771.5845926.452020e-09
0.8144791.5844666.484685e-09
0.8186031.584346.517516e-09
0.8227471.5842166.550513e-09
0.8269121.5840936.583677e-09
0.8310991.583976.617009e-09
0.8353061.5838496.650510e-09
0.8395351.5837286.684180e-09
0.8437861.5836096.718021e-09
0.8480571.583496.752033e-09
0.8523511.5833726.786217e-09
0.8566661.5832556.820574e-09
0.8610031.5831396.855105e-09
0.8653621.5830246.889811e-09
0.8697431.5829096.924693e-09
0.8741461.5827956.959752e-09
0.8785721.5826826.994987e-09
0.883021.582577.030402e-09
0.887491.5824597.065995e-09
0.8919831.5823487.101769e-09
0.8964991.5822387.137724e-09
0.91.5821547.165600e-09
0.9010371.5821297.256540e-09
0.9055991.582027.656386e-09
0.9101841.5819128.058256e-09
0.9147921.5818058.462161e-09
0.9194231.5816998.868111e-09
0.9240781.5815939.276116e-09
0.9287561.5814879.686186e-09
0.9334581.5813831.009833e-08
0.9381841.5812791.051257e-08
0.9429341.5811751.092890e-08
0.9477071.5810721.134733e-08
0.9525051.580971.176789e-08
0.9573271.5808691.219058e-08
0.9621741.5807671.261540e-08
0.9670451.5806671.304238e-08
0.9719411.5805671.347152e-08
0.9768621.5804671.390283e-08
0.9818071.5803681.433632e-08
0.9867781.5802691.477201e-08
0.9917731.5801711.520990e-08
0.9967941.5800741.565001e-08
11.5800121.593100e-08
1.001841.5799771.596033e-08
1.006911.579881.604116e-08
1.012011.5797841.612239e-08
1.017131.5796881.620403e-08
1.022281.5795921.628608e-08
1.027461.5794971.636856e-08
1.032661.5794021.645144e-08
1.037891.5793081.653475e-08
1.043141.5792141.661848e-08
1.048421.579121.670264e-08
1.053731.5790271.678722e-08
1.059071.5789341.687222e-08
1.064431.5788421.695766e-08
1.069821.5787491.704353e-08
1.075231.5786571.712984e-08
1.080681.5785661.721658e-08
1.086151.5784741.730376e-08
1.091651.5783831.739139e-08
1.097171.5782921.747945e-08
1.102731.5782011.756797e-08
1.108311.5781111.765693e-08
1.113921.5780211.774634e-08
1.119561.577931.783620e-08
1.125231.5778411.792652e-08
1.130931.5777511.801730e-08
1.136651.5776611.810853e-08
1.142411.5775721.820023e-08
1.148191.5774831.829239e-08
1.1541.5773941.838502e-08
1.159841.5773051.847812e-08
1.165721.5772161.857169e-08
1.171621.5771271.866573e-08
1.177551.5770391.876025e-08
1.183511.576951.885524e-08
1.18951.5768621.895072e-08
1.195521.5767731.904668e-08
1.21.5767081.911800e-08
1.201581.5766851.931934e-08
1.207661.5765972.009601e-08
1.213771.5765082.087661e-08
1.219921.576422.166117e-08
1.22611.5763322.244969e-08
1.23231.5762442.324221e-08
1.238541.5761552.403874e-08
1.244811.5760672.483930e-08
1.251111.5759792.564391e-08
1.257451.575892.645260e-08
1.263811.5758022.726538e-08
1.270211.5757132.808228e-08
1.276641.5756252.890331e-08
1.283111.5755362.972850e-08
1.28961.5754473.055787e-08
1.296131.5753583.139143e-08
1.302691.5752693.222922e-08
1.309291.575183.307124e-08
1.315921.5750913.391753e-08
1.322581.5750013.476811e-08
1.329271.5749123.562299e-08
1.3361.5748223.648220e-08
1.342771.5747313.734575e-08
1.349561.5746413.821368e-08
1.35641.5745513.908601e-08
1.363261.574463.996275e-08
1.370171.5743694.084393e-08
1.37711.5742774.172957e-08
1.384071.5741864.261969e-08
1.391081.5740944.351432e-08
1.398121.5740024.441348e-08
1.41.5739774.465300e-08
1.40521.5739094.548460e-08
1.412321.5738164.662182e-08
1.419471.5737234.776479e-08
1.426651.573634.891355e-08
1.433881.5735365.006813e-08
1.441131.5734415.122855e-08
1.448431.5733475.239485e-08
1.455761.5732525.356705e-08
1.463131.5731565.474518e-08
1.470541.573065.592928e-08
1.477991.5729645.711938e-08
1.485471.5728675.831550e-08
1.492991.5727695.951767e-08
1.500551.5726716.072594e-08
1.508141.5725736.194031e-08
1.515781.5724746.316084e-08
1.523451.5723756.438755e-08
1.531171.5722756.562046e-08
1.538921.5721746.685962e-08
1.546711.5720736.810505e-08
1.554541.5719716.935679e-08
1.562411.5718687.061486e-08
1.570321.5717657.187930e-08
1.578271.5716627.315015e-08
1.586261.5715577.442743e-08
1.594291.5714527.571117e-08
1.61.5713777.662400e-08
1.602361.5713467.930827e-08
1.610471.571248.853128e-08
1.618631.5711329.780097e-08
1.626821.5710241.071176e-07
1.635061.5709151.164814e-07
1.643331.5708061.258926e-07
1.651651.5706951.353514e-07
1.660021.5705841.448582e-07
1.668421.5704721.544130e-07
1.676871.5703591.640163e-07
1.685361.5702451.736681e-07
1.693891.570131.833688e-07
1.702461.5700141.931186e-07
1.711081.5698982.029178e-07
1.719751.569782.127666e-07
1.728451.5696612.226653e-07
1.73721.5695412.326141e-07
1.7461.5694212.426132e-07
1.754841.5692992.526630e-07
1.763721.5691762.627636e-07
1.772651.5690522.729154e-07
1.781621.5689272.831185e-07
1.790641.56882.933734e-07
1.799711.5686733.036801e-07
1.81.5686693.040100e-07
1.808821.5685443.221882e-07
1.817981.5684143.410594e-07
1.827181.5682833.600261e-07
1.836431.568153.790888e-07
1.845731.5680163.982481e-07
1.855071.5678814.175043e-07
1.864471.5677454.368581e-07
1.873911.5676074.563098e-07
1.883391.5674674.758600e-07
1.892931.5673264.955092e-07
1.902511.5671845.152578e-07
1.912141.567045.351065e-07
1.921821.5668955.550556e-07
1.931551.5667485.751057e-07
1.941331.5665995.952573e-07
1.951161.5664496.155109e-07
1.961041.5662976.358671e-07
1.970971.5661436.563264e-07
1.980941.5659886.768892e-07
1.990971.565836.975561e-07
21.5656887.161600e-07
2.001051.5656717.213812e-07
2.011181.565517.716666e-07
2.021361.5653488.222066e-07
2.03161.5651838.730025e-07
2.041881.5650169.240555e-07
2.052221.5648479.753670e-07
2.062611.5646761.026938e-06
2.073051.5645031.078771e-06
2.083551.5643281.130865e-06
2.09411.5641511.183224e-06
2.10471.5639711.235847e-06
2.115351.563791.288737e-06
2.126061.5636051.341895e-06
2.136831.5634191.395322e-06
2.147641.563231.449019e-06
2.158521.5630381.502989e-06
2.169441.5628441.557231e-06
2.180431.5626481.611748e-06
2.191471.5624491.666541e-06
2.21.5622931.708900e-06
2.202561.5622471.721075e-06
2.213711.5620421.774086e-06
2.224921.5618341.827365e-06
2.236181.5616241.880914e-06
2.24751.561411.934734e-06
2.258881.5611941.988827e-06
2.270321.5609742.043193e-06
2.281811.5607522.097835e-06
2.293361.5605262.152753e-06
2.304971.5602972.207949e-06
2.316641.5600642.263425e-06
2.328371.5598282.319182e-06
2.340161.5595892.375221e-06
2.352011.5593462.431544e-06
2.363911.5590992.488151e-06
2.375881.5588492.545046e-06
2.387911.5585942.602228e-06
2.41.5583362.659700e-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
—