Optical constants

Refractive index of PBM8Y (OHARA)

PBM8Y: 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
39.26
Chromatic dispersion dn/dλ
-0.0771487 µm⁻¹
Group index ng
1.64084
Group velocity dispersion
147.784 fs²/mm
Dispersion parameter D
-806.243 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

# PBM8Y (OHARA): PBM8Y
ohara_pbm8y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBM8Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbm8y.range_nm)  # (320, 2400) nm
eps = ohara_pbm8y.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=1.35351322λ2λ2−0.0105624626+0.130212912λ2λ2−0.0496606652+0.158337266λ2λ2−20.7965806

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.35351322
C30.0105624626
C40.130212912
C50.0496606652
C60.158337266
C720.7965806

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 6.76e-07 1.49e-08 -3.72e-11 9.2e-07 8.07e-10 0.227
nd
1.595509
Vd
39.260208
glass code
596393
density
value: 3360
thermal expansion
value: 8.5e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
dPgF
-0.0012
resistance
acid: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.60e-06 K⁻¹ at 633 nm, dn/dT = 5.78e-07 K⁻¹ at 1310 nm, dn/dT = 5.00e-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
PBM8Y (OHARA), PBM8Y: n and k versus wavelength
λ (µm)nk
0.321.6616934.512300e-06
0.321621.6604533.964561e-06
0.3232481.6592393.414050e-06
0.3248851.6580492.860751e-06
0.326531.6568842.304651e-06
0.3281831.6557421.745736e-06
0.3298441.6546221.183991e-06
0.331.6545191.131300e-06
0.3315141.6535251.007754e-06
0.3331921.6524488.708014e-07
0.3348791.6513927.331555e-07
0.3365751.6503575.948126e-07
0.3382791.649344.557694e-07
0.3399911.6483423.160223e-07
0.341.6483373.153000e-07
0.3417121.6473632.778058e-07
0.3434421.6464012.399271e-07
0.3451811.6454572.018565e-07
0.3469291.6445291.635933e-07
0.3486851.6436181.251363e-07
0.351.6429499.634400e-08
0.350451.6427239.369367e-08
0.3522251.6418438.325103e-08
0.3540081.6409797.275553e-08
0.35581.6401296.220689e-08
0.3576011.6392935.160484e-08
0.3594121.6384714.094912e-08
0.361.6382083.748600e-08
0.3612311.6376633.541723e-08
0.363061.6368683.234432e-08
0.3648981.6360872.925585e-08
0.3667451.6353182.615174e-08
0.3686021.6345612.303192e-08
0.371.6340012.068300e-08
0.3704681.6338162.028209e-08
0.3723441.6330831.867605e-08
0.3742291.6323621.706189e-08
0.3761231.6316521.543955e-08
0.3780281.6309531.380900e-08
0.3799411.6302641.217019e-08
0.381.6302431.212000e-08
0.3818651.6295861.159869e-08
0.3837981.6289191.105827e-08
0.3857411.6282621.051511e-08
0.3876941.6276149.969203e-09
0.3896571.6269769.420532e-09
0.391.6268669.324600e-09
0.391631.6263488.843566e-09
0.3936121.6257288.258278e-09
0.3956051.6251187.670026e-09
0.3976081.6245177.078796e-09
0.3996211.6239246.484573e-09
0.41.6238146.372600e-09
0.4016441.623346.398786e-09
0.4036771.6227656.431178e-09
0.4057211.6221976.463734e-09
0.4077751.6216386.496454e-09
0.4098391.6210866.529341e-09
0.4119141.6205426.562393e-09
0.4141.6200066.595614e-09
0.4160961.6194776.629002e-09
0.4182021.6189566.662559e-09
0.421.6185186.691200e-09
0.4203191.6184416.696286e-09
0.4224471.6179346.730184e-09
0.4245861.6174336.764254e-09
0.4267351.616946.798496e-09
0.4288961.6164526.832911e-09
0.4310671.6159726.867501e-09
0.433251.6154986.902266e-09
0.4354431.615036.937206e-09
0.4376471.6145686.972324e-09
0.4398631.6141137.007619e-09
0.441.6140857.009800e-09
0.442091.6136637.043104e-09
0.4443281.6132197.078769e-09
0.4465781.6127817.114614e-09
0.4488381.6123497.150641e-09
0.4511111.6119227.186851e-09
0.4533951.6115017.223243e-09
0.455691.6110857.259820e-09
0.4579971.6106757.296582e-09
0.461.6103247.328500e-09
0.4603161.6102697.273147e-09
0.4626461.6098696.864519e-09
0.4649881.6094746.453823e-09
0.4673421.6090836.041048e-09
0.4697081.6086985.626183e-09
0.4720861.6083175.209218e-09
0.4744761.6079424.790141e-09
0.4768781.607574.368943e-09
0.4792931.6072043.945613e-09
0.481.6070973.821600e-09
0.4817191.6068413.835294e-09
0.4841581.6064843.854719e-09
0.4866091.606133.874242e-09
0.4890731.6057813.893864e-09
0.4915491.6054363.913585e-09
0.4940371.6050953.933407e-09
0.4965381.6047593.953328e-09
0.4990521.6044263.973351e-09
0.51.6043023.980900e-09
0.5015791.6040973.993470e-09
0.5041181.6037734.013688e-09
0.506671.6034524.034008e-09
0.5092351.6031354.054431e-09
0.5118131.6028214.074958e-09
0.5144051.6025114.095589e-09
0.5170091.6022054.116324e-09
0.5196261.6019034.137164e-09
0.5222571.6016044.158109e-09
0.5249011.6013084.179161e-09
0.5275581.6010164.200319e-09
0.5302291.6007274.221584e-09
0.5329131.6004424.242957e-09
0.5356111.6001594.264438e-09
0.5383231.599884.286028e-09
0.5410481.5996044.307727e-09
0.5437881.5993324.329536e-09
0.5465411.5990624.351456e-09
0.5493081.5987954.373486e-09
0.551.5987294.379000e-09
0.5520881.5985324.395624e-09
0.5548831.5982714.417873e-09
0.5576931.5980134.440234e-09
0.5605161.5977584.462708e-09
0.5633541.5975064.485296e-09
0.5662061.5972574.507999e-09
0.5690721.597014.530816e-09
0.5719531.5967664.553749e-09
0.5748491.5965254.576798e-09
0.5777591.5962864.599963e-09
0.5806841.596054.623246e-09
0.5836241.5958164.646647e-09
0.5865791.5955854.670167e-09
0.5895481.5953574.693805e-09
0.5925331.5951314.717563e-09
0.5955331.5949074.741441e-09
0.5985481.5946864.765441e-09
0.61.594584.777000e-09
0.6015781.5944674.789564e-09
0.6046241.594254.813813e-09
0.6076851.5940364.838185e-09
0.6107611.5938244.862680e-09
0.6138531.5936144.887299e-09
0.6169611.5934064.912043e-09
0.6200841.59324.936912e-09
0.6232241.5929974.961907e-09
0.6263791.5927954.987028e-09
0.629551.5925965.012277e-09
0.6327371.5923995.037653e-09
0.635941.5922045.063158e-09
0.639161.592015.088792e-09
0.6423961.5918195.114556e-09
0.6456481.591635.140450e-09
0.6489171.5914425.166476e-09
0.651.591385.175100e-09
0.6522021.5912565.192633e-09
0.6555041.5910735.218922e-09
0.6588231.5908915.245345e-09
0.6621581.590715.271901e-09
0.665511.5905325.298592e-09
0.6688791.5903555.325418e-09
0.6722661.590185.352380e-09
0.6756691.5900075.379478e-09
0.679091.5898365.406713e-09
0.6825281.5896665.434087e-09
0.6859831.5894975.461599e-09
0.6894561.5893315.489250e-09
0.6929471.5891665.517041e-09
0.6964551.5890025.544973e-09
0.6999811.588845.573046e-09
0.71.5888395.573200e-09
0.7035241.588685.601262e-09
0.7070861.5885215.629620e-09
0.7106661.5883635.658122e-09
0.7142641.5882075.686768e-09
0.717881.5880525.715559e-09
0.7215141.5878995.744496e-09
0.7251671.5877475.773579e-09
0.7288381.5875975.802810e-09
0.7325281.5874485.832189e-09
0.7362371.58735.861716e-09
0.7399641.5871535.891393e-09
0.743711.5870085.921220e-09
0.7474751.5868645.951198e-09
0.7512591.5867225.981328e-09
0.7550631.586586.011610e-09
0.7588851.586446.042046e-09
0.7627271.5863016.072636e-09
0.7665891.5861636.103381e-09
0.770471.5860276.134281e-09
0.774371.5858916.165338e-09
0.7782911.5857576.196552e-09
0.7822311.5856246.227924e-09
0.7861911.5854926.259454e-09
0.7901711.5853616.291145e-09
0.7941721.5852316.322996e-09
0.7981921.5851026.355008e-09
0.81.5850446.369400e-09
0.8022331.5849746.387182e-09
0.8062951.5848476.419519e-09
0.8103771.5847216.452020e-09
0.8144791.5845966.484685e-09
0.8186031.5844726.517516e-09
0.8227471.5843496.550513e-09
0.8269121.5842276.583677e-09
0.8310991.5841066.617009e-09
0.8353061.5839866.650510e-09
0.8395351.5838676.684180e-09
0.8437861.5837486.718021e-09
0.8480571.5836316.752033e-09
0.8523511.5835146.786217e-09
0.8566661.5833986.820574e-09
0.8610031.5832836.855105e-09
0.8653621.5831696.889811e-09
0.8697431.5830566.924693e-09
0.8741461.5829436.959752e-09
0.8785721.5828316.994987e-09
0.883021.582727.030402e-09
0.887491.582617.065995e-09
0.8919831.58257.101769e-09
0.8964991.5823917.137724e-09
0.91.5823077.165600e-09
0.9010371.5822837.256540e-09
0.9055991.5821757.656386e-09
0.9101841.5820688.058256e-09
0.9147921.5819628.462161e-09
0.9194231.5818578.868111e-09
0.9240781.5817529.276116e-09
0.9287561.5816479.686186e-09
0.9334581.5815441.009833e-08
0.9381841.5814411.051257e-08
0.9429341.5813381.092890e-08
0.9477071.5812361.134733e-08
0.9525051.5811351.176789e-08
0.9573271.5810341.219058e-08
0.9621741.5809341.261540e-08
0.9670451.5808341.304238e-08
0.9719411.5807341.347152e-08
0.9768621.5806361.390283e-08
0.9818071.5805371.433632e-08
0.9867781.580441.477201e-08
0.9917731.5803421.520990e-08
0.9967941.5802451.565001e-08
11.5801841.593100e-08
1.001841.5801491.596033e-08
1.006911.5800531.604116e-08
1.012011.5799571.612239e-08
1.017131.5798621.620403e-08
1.022281.5797671.628608e-08
1.027461.5796731.636856e-08
1.032661.5795791.645144e-08
1.037891.5794851.653475e-08
1.043141.5793921.661848e-08
1.048421.5792991.670264e-08
1.053731.5792061.678722e-08
1.059071.5791141.687222e-08
1.064431.5790211.695766e-08
1.069821.578931.704353e-08
1.075231.5788381.712984e-08
1.080681.5787471.721658e-08
1.086151.5786561.730376e-08
1.091651.5785651.739139e-08
1.097171.5784751.747945e-08
1.102731.5783841.756797e-08
1.108311.5782941.765693e-08
1.113921.5782041.774634e-08
1.119561.5781151.783620e-08
1.125231.5780251.792652e-08
1.130931.5779361.801730e-08
1.136651.5778471.810853e-08
1.142411.5777581.820023e-08
1.148191.5776691.829239e-08
1.1541.577581.838502e-08
1.159841.5774911.847812e-08
1.165721.5774031.857169e-08
1.171621.5773141.866573e-08
1.177551.5772261.876025e-08
1.183511.5771371.885524e-08
1.18951.5770491.895072e-08
1.195521.5769611.904668e-08
1.21.5768951.911800e-08
1.201581.5768731.940759e-08
1.207661.5767842.052464e-08
1.213771.5766962.164735e-08
1.219921.5766082.277574e-08
1.22611.576522.390984e-08
1.23231.5764312.504969e-08
1.238541.5763432.619530e-08
1.244811.5762552.734672e-08
1.251111.5761662.850397e-08
1.257451.5760782.966707e-08
1.263811.5759893.083606e-08
1.270211.5759013.201097e-08
1.276641.5758123.319183e-08
1.283111.5757233.437867e-08
1.28961.5756343.557151e-08
1.296131.5755453.677040e-08
1.302691.5754563.797535e-08
1.309291.5753663.918641e-08
1.315921.5752764.040359e-08
1.322581.5751874.162694e-08
1.329271.5750974.285648e-08
1.3361.5750064.409225e-08
1.342771.5749164.533427e-08
1.349561.5748254.658258e-08
1.35641.5747344.783721e-08
1.363261.5746434.909819e-08
1.370171.5745515.036556e-08
1.37711.5744595.163934e-08
1.384071.5743675.291957e-08
1.391081.5742745.420628e-08
1.398121.5741815.549951e-08
1.41.5741575.584400e-08
1.40521.5740885.638451e-08
1.412321.5739955.712366e-08
1.419471.5739015.786655e-08
1.426651.5738065.861321e-08
1.433881.5737115.936364e-08
1.441131.5736166.011787e-08
1.448431.5735216.087592e-08
1.455761.5734246.163781e-08
1.463131.5733286.240356e-08
1.470541.5732316.317318e-08
1.477991.5731336.394670e-08
1.485471.5730356.472413e-08
1.492991.5729376.550550e-08
1.500551.5728376.629083e-08
1.508141.5727386.708013e-08
1.515781.5726376.787343e-08
1.523451.5725366.867075e-08
1.531171.5724356.947210e-08
1.538921.5723337.027750e-08
1.546711.572237.108699e-08
1.554541.5721277.190057e-08
1.562411.5720227.271828e-08
1.570321.5719187.354012e-08
1.578271.5718127.436612e-08
1.586261.5717067.519631e-08
1.594291.5715997.603069e-08
1.61.5715227.662400e-08
1.602361.5714917.896310e-08
1.610471.5713828.700010e-08
1.618631.5712739.507779e-08
1.626821.5711631.031964e-07
1.635061.5710511.113561e-07
1.643331.5709391.195570e-07
1.651651.5708271.277996e-07
1.660021.5707131.360838e-07
1.668421.5705981.444100e-07
1.676871.5704821.527783e-07
1.685361.5703661.611890e-07
1.693891.5702481.696423e-07
1.702461.5701291.781384e-07
1.711081.570011.866775e-07
1.719751.5698891.952598e-07
1.728451.5697672.038856e-07
1.73721.5696442.125550e-07
1.7461.569522.212683e-07
1.754841.5693942.300258e-07
1.763721.5692682.388275e-07
1.772651.569142.476739e-07
1.781621.5690112.565650e-07
1.790641.568882.655011e-07
1.799711.5687492.744825e-07
1.81.5687452.747700e-07
1.808821.5686162.913066e-07
1.817981.5684813.084735e-07
1.827181.5683463.257274e-07
1.836431.5682093.430687e-07
1.845731.568073.604977e-07
1.855071.567933.780150e-07
1.864471.5677883.956210e-07
1.873911.5676454.133161e-07
1.883391.56754.311008e-07
1.892931.5673544.489755e-07
1.902511.5672064.669407e-07
1.912141.5670564.849968e-07
1.921821.5669055.031444e-07
1.931551.5667515.213839e-07
1.941331.5665965.397157e-07
1.951161.5664395.581403e-07
1.961041.5662815.766581e-07
1.970971.566125.952698e-07
1.980941.5659576.139756e-07
1.990971.5657936.327762e-07
21.5656446.497000e-07
2.001051.5656266.543614e-07
2.011181.5654576.992553e-07
2.021361.5652867.443764e-07
2.03161.5651137.897261e-07
2.041881.5649388.353053e-07
2.052221.564768.811152e-07
2.062611.564589.271571e-07
2.073051.5643989.734321e-07
2.083551.5642131.019941e-06
2.09411.5640261.066686e-06
2.10471.5638361.113667e-06
2.115351.5636441.160887e-06
2.126061.5634481.208345e-06
2.136831.5632511.256043e-06
2.147641.563051.303983e-06
2.158521.5628461.352166e-06
2.169441.562641.400593e-06
2.180431.5624311.449265e-06
2.191471.5622181.498183e-06
2.21.5620531.536000e-06
2.202561.5620031.547593e-06
2.213711.5617841.598073e-06
2.224921.5615621.648808e-06
2.236181.5613371.699800e-06
2.24751.5611081.751051e-06
2.258881.5608761.802560e-06
2.270321.560641.854331e-06
2.281811.5604011.906363e-06
2.293361.5601581.958659e-06
2.304971.559912.011220e-06
2.316641.559662.064047e-06
2.328371.5594052.117141e-06
2.340161.5591452.170505e-06
2.352011.5588822.224138e-06
2.363911.5586142.278043e-06
2.375881.5583422.332220e-06
2.387911.5580662.386672e-06
2.41.5577842.441400e-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
—