Optical constants

Refractive index of PBM2Y (OHARA)

PBM2Y: 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
1.62004
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.62452
Permittivity ε2
1.51580e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
36.269
Chromatic dispersion dn/dλ
-0.0867239 µm⁻¹
Group index ng
1.671
Group velocity dispersion
168.518 fs²/mm
Dispersion parameter D
-919.356 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

# PBM2Y (OHARA): PBM2Y
ohara_pbm2y = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBM2Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbm2y.range_nm)  # (320, 2400) nm
eps = ohara_pbm2y.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=1.39446503λ2λ2−0.0110571872+0.159230985λ2λ2−0.0507194882+0.245470216λ2λ2−31.4440142

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.39446503
C30.0110571872
C40.159230985
C50.0507194882
C60.245470216
C731.4440142

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.2e-06 1.69e-08 -3.38e-11 9.77e-07 7.43e-10 0.243
nd
1.620041
Vd
36.269263
glass code
620363
density
value: 3610
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 9.7e-06, temperature range: 293 573
dPgF
-0.0003
resistance
acid: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.03e-06 K⁻¹ at 633 nm, dn/dT = 8.70e-07 K⁻¹ at 1310 nm, dn/dT = 7.82e-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
PBM2Y (OHARA), PBM2Y: n and k versus wavelength
λ (µm)nk
0.321.6964578.196800e-06
0.321621.6949867.218144e-06
0.3232481.6935476.234534e-06
0.3248851.6921395.245944e-06
0.326531.6907624.252349e-06
0.3281831.6894133.253724e-06
0.3298441.6880922.250044e-06
0.331.687972.155900e-06
0.3315141.6867981.915808e-06
0.3331921.6855311.649661e-06
0.3348791.6842891.382168e-06
0.3365751.6830711.113320e-06
0.3382791.6818778.431107e-07
0.3399911.6807075.715337e-07
0.341.6807015.701300e-07
0.3417121.6795594.999864e-07
0.3434421.6784324.291233e-07
0.3451811.6773273.579015e-07
0.3469291.6762422.863190e-07
0.3486851.6751782.143742e-07
0.351.6743971.605100e-07
0.350451.6741321.558885e-07
0.3522251.6731061.376791e-07
0.3540081.6720981.193775e-07
0.35581.6711071.009832e-07
0.3576011.6701348.249582e-08
0.3594121.6691786.391484e-08
0.361.6688725.787600e-08
0.3612311.6682395.402767e-08
0.363061.6673154.831142e-08
0.3648981.6664074.256624e-08
0.3667451.6655153.679197e-08
0.3686021.6646373.098847e-08
0.371.6639892.661900e-08
0.3704681.6637742.608241e-08
0.3723441.6629252.393284e-08
0.3742291.662092.177238e-08
0.3761231.6612681.960099e-08
0.3780281.660461.741861e-08
0.3799411.6596641.522518e-08
0.381.659641.515800e-08
0.3818651.6588811.465093e-08
0.3837981.6581111.412528e-08
0.3857411.6573521.359697e-08
0.3876941.6566051.306599e-08
0.3896571.655871.253231e-08
0.391.6557431.243900e-08
0.391631.6551461.197045e-08
0.3936121.6544331.140035e-08
0.3956051.653731.082736e-08
0.3976081.6530391.025147e-08
0.3996211.6523579.672668e-09
0.41.652239.563600e-09
0.4016441.6516869.327513e-09
0.4036771.6510249.035479e-09
0.4057211.6503738.741966e-09
0.4077751.6497318.446967e-09
0.4098391.6490988.150474e-09
0.4119141.6484747.852481e-09
0.4141.6478597.552978e-09
0.4160961.6472537.251960e-09
0.4182021.6466556.949418e-09
0.421.6461546.691200e-09
0.4203191.6460666.696286e-09
0.4224471.6454856.730184e-09
0.4245861.6449136.764254e-09
0.4267351.6443486.798496e-09
0.4288961.6437916.832911e-09
0.4310671.6432426.867501e-09
0.433251.64276.902266e-09
0.4354431.6421666.937206e-09
0.4376471.6416396.972324e-09
0.4398631.6411197.007619e-09
0.441.6410877.009800e-09
0.442091.6406067.043104e-09
0.4443281.6400997.078769e-09
0.4465781.63967.114614e-09
0.4488381.6391077.150641e-09
0.4511111.6386217.186851e-09
0.4533951.6381417.223243e-09
0.455691.6376687.259820e-09
0.4579971.63727.296582e-09
0.461.6368017.328500e-09
0.4603161.6367397.333529e-09
0.4626461.6362837.370652e-09
0.4649881.6358347.407964e-09
0.4673421.635397.445464e-09
0.4697081.6349527.483155e-09
0.4720861.634527.521036e-09
0.4744761.6340937.559109e-09
0.4768781.6336717.597374e-09
0.4792931.6332557.635833e-09
0.481.6331347.647100e-09
0.4817191.6328447.331946e-09
0.4841581.6324386.884893e-09
0.4866091.6320376.435578e-09
0.4890731.6316415.983987e-09
0.4915491.631255.530111e-09
0.4940371.6308635.073936e-09
0.4965381.6304824.615452e-09
0.4990521.6301054.154647e-09
0.51.6299653.980900e-09
0.5015791.6297333.993470e-09
0.5041181.6293654.013688e-09
0.506671.6290024.034008e-09
0.5092351.6286434.054431e-09
0.5118131.6282884.074958e-09
0.5144051.6279384.095589e-09
0.5170091.6275924.116324e-09
0.5196261.6272494.137164e-09
0.5222571.6269114.158109e-09
0.5249011.6265774.179161e-09
0.5275581.6262474.200319e-09
0.5302291.6259214.221584e-09
0.5329131.6255994.242957e-09
0.5356111.625284.264438e-09
0.5383231.6249654.286028e-09
0.5410481.6246544.307727e-09
0.5437881.6243464.329536e-09
0.5465411.6240424.351456e-09
0.5493081.6237414.373486e-09
0.551.6236664.379000e-09
0.5520881.6234444.395624e-09
0.5548831.623154.417873e-09
0.5576931.6228594.440234e-09
0.5605161.6225724.462708e-09
0.5633541.6222884.485296e-09
0.5662061.6220074.507999e-09
0.5690721.6217294.530816e-09
0.5719531.6214554.553749e-09
0.5748491.6211834.576798e-09
0.5777591.6209154.599963e-09
0.5806841.6206494.623246e-09
0.5836241.6203874.646647e-09
0.5865791.6201274.670167e-09
0.5895481.619874.693805e-09
0.5925331.6196164.717563e-09
0.5955331.6193644.741441e-09
0.5985481.6191164.765441e-09
0.61.6189984.777000e-09
0.6015781.618874.789564e-09
0.6046241.6186274.813813e-09
0.6076851.6183864.838185e-09
0.6107611.6181484.862680e-09
0.6138531.6179124.887299e-09
0.6169611.6176794.912043e-09
0.6200841.6174494.936912e-09
0.6232241.6172214.961907e-09
0.6263791.6169954.987028e-09
0.629551.6167725.012277e-09
0.6327371.6165515.037653e-09
0.635941.6163325.063158e-09
0.639161.6161155.088792e-09
0.6423961.6159015.114556e-09
0.6456481.6156895.140450e-09
0.6489171.6154795.166476e-09
0.651.615415.175100e-09
0.6522021.6152725.192633e-09
0.6555041.6150665.218922e-09
0.6588231.6148625.245345e-09
0.6621581.6146615.271901e-09
0.665511.6144625.298592e-09
0.6688791.6142645.325418e-09
0.6722661.6140695.352380e-09
0.6756691.6138755.379478e-09
0.679091.6136845.406713e-09
0.6825281.6134945.434087e-09
0.6859831.6133065.461599e-09
0.6894561.613125.489250e-09
0.6929471.6129365.517041e-09
0.6964551.6127545.544973e-09
0.6999811.6125735.573046e-09
0.71.6125725.573200e-09
0.7035241.6123945.601262e-09
0.7070861.6122175.629620e-09
0.7106661.6120425.658122e-09
0.7142641.6118685.686768e-09
0.717881.6116965.715559e-09
0.7215141.6115255.744496e-09
0.7251671.6113565.773579e-09
0.7288381.6111895.802810e-09
0.7325281.6110235.832189e-09
0.7362371.6108595.861716e-09
0.7399641.6106965.891393e-09
0.743711.6105355.921220e-09
0.7474751.6103755.951198e-09
0.7512591.6102175.981328e-09
0.7550631.610066.011610e-09
0.7588851.6099046.042046e-09
0.7627271.609756.072636e-09
0.7665891.6095976.103381e-09
0.770471.6094466.134281e-09
0.774371.6092966.165338e-09
0.7782911.6091476.196552e-09
0.7822311.6089996.227924e-09
0.7861911.6088536.259454e-09
0.7901711.6087086.291145e-09
0.7941721.6085646.322996e-09
0.7981921.6084226.355008e-09
0.81.6083586.369400e-09
0.8022331.608286.387182e-09
0.8062951.608146.419519e-09
0.8103771.6080016.452020e-09
0.8144791.6078636.484685e-09
0.8186031.6077276.517516e-09
0.8227471.6075916.550513e-09
0.8269121.6074576.583677e-09
0.8310991.6073236.617009e-09
0.8353061.6071916.650510e-09
0.8395351.6070596.684180e-09
0.8437861.6069296.718021e-09
0.8480571.60686.752033e-09
0.8523511.6066716.786217e-09
0.8566661.6065446.820574e-09
0.8610031.6064186.855105e-09
0.8653621.6062926.889811e-09
0.8697431.6061686.924693e-09
0.8741461.6060446.959752e-09
0.8785721.6059216.994987e-09
0.883021.6057997.030402e-09
0.887491.6056787.065995e-09
0.8919831.6055587.101769e-09
0.8964991.6054397.137724e-09
0.91.6053487.165600e-09
0.9010371.6053217.256540e-09
0.9055991.6052037.656386e-09
0.9101841.6050868.058256e-09
0.9147921.604978.462161e-09
0.9194231.6048558.868111e-09
0.9240781.6047419.276116e-09
0.9287561.6046279.686186e-09
0.9334581.6045141.009833e-08
0.9381841.6044011.051257e-08
0.9429341.604291.092890e-08
0.9477071.6041791.134733e-08
0.9525051.6040691.176789e-08
0.9573271.6039591.219058e-08
0.9621741.603851.261540e-08
0.9670451.6037421.304238e-08
0.9719411.6036341.347152e-08
0.9768621.6035271.390283e-08
0.9818071.6034211.433632e-08
0.9867781.6033151.477201e-08
0.9917731.6032091.520990e-08
0.9967941.6031051.565001e-08
11.6030381.593100e-08
1.001841.6031.596033e-08
1.006911.6028971.604116e-08
1.012011.6027941.612239e-08
1.017131.6026911.620403e-08
1.022281.6025891.628608e-08
1.027461.6024871.636856e-08
1.032661.6023861.645144e-08
1.037891.6022851.653475e-08
1.043141.6021851.661848e-08
1.048421.6020851.670264e-08
1.053731.6019861.678722e-08
1.059071.6018871.687222e-08
1.064431.6017881.695766e-08
1.069821.601691.704353e-08
1.075231.6015921.712984e-08
1.080681.6014951.721658e-08
1.086151.6013981.730376e-08
1.091651.6013011.739139e-08
1.097171.6012041.747945e-08
1.102731.6011081.756797e-08
1.108311.6010131.765693e-08
1.113921.6009171.774634e-08
1.119561.6008221.783620e-08
1.125231.6007271.792652e-08
1.130931.6006321.801730e-08
1.136651.6005381.810853e-08
1.142411.6004441.820023e-08
1.148191.600351.829239e-08
1.1541.6002561.838502e-08
1.159841.6001631.847812e-08
1.165721.6000691.857169e-08
1.171621.5999761.866573e-08
1.177551.5998831.876025e-08
1.183511.599791.885524e-08
1.18951.5996981.895072e-08
1.195521.5996051.904668e-08
1.21.5995371.911800e-08
1.201581.5995131.931934e-08
1.207661.5994212.009601e-08
1.213771.5993292.087661e-08
1.219921.5992372.166117e-08
1.22611.5991452.244969e-08
1.23231.5990532.324221e-08
1.238541.5989612.403874e-08
1.244811.5988692.483930e-08
1.251111.5987772.564391e-08
1.257451.5986862.645260e-08
1.263811.5985942.726538e-08
1.270211.5985022.808228e-08
1.276641.5984112.890331e-08
1.283111.5983192.972850e-08
1.28961.5982273.055787e-08
1.296131.5981353.139143e-08
1.302691.5980443.222922e-08
1.309291.5979523.307124e-08
1.315921.597863.391753e-08
1.322581.5977683.476811e-08
1.329271.5976763.562299e-08
1.3361.5975833.648220e-08
1.342771.5974913.734575e-08
1.349561.5973993.821368e-08
1.35641.5973063.908601e-08
1.363261.5972133.996275e-08
1.370171.597124.084393e-08
1.37711.5970274.172957e-08
1.384071.5969344.261969e-08
1.391081.596844.351432e-08
1.398121.5967464.441348e-08
1.41.5967214.465300e-08
1.40521.5966524.548460e-08
1.412321.5965584.662182e-08
1.419471.5964644.776479e-08
1.426651.5963694.891355e-08
1.433881.5962745.006813e-08
1.441131.5961795.122855e-08
1.448431.5960835.239485e-08
1.455761.5959875.356705e-08
1.463131.5958915.474518e-08
1.470541.5957945.592928e-08
1.477991.5956975.711938e-08
1.485471.59565.831550e-08
1.492991.5955025.951767e-08
1.500551.5954046.072594e-08
1.508141.5953056.194031e-08
1.515781.5952066.316084e-08
1.523451.5951076.438755e-08
1.531171.5950076.562046e-08
1.538921.5949076.685962e-08
1.546711.5948066.810505e-08
1.554541.5947056.935679e-08
1.562411.5946037.061486e-08
1.570321.5945017.187930e-08
1.578271.5943987.315015e-08
1.586261.5942947.442743e-08
1.594291.594197.571117e-08
1.61.5941177.662400e-08
1.602361.5940867.913557e-08
1.610471.5939818.776516e-08
1.618631.5938759.643845e-08
1.626821.5937691.051556e-07
1.635061.5936621.139170e-07
1.643331.5935541.227227e-07
1.651651.5934461.315729e-07
1.660021.5933361.404680e-07
1.668421.5932271.494081e-07
1.676871.5931161.583934e-07
1.685361.5930051.674243e-07
1.693891.5928931.765009e-07
1.702461.592781.856234e-07
1.711081.5926661.947921e-07
1.719751.5925522.040072e-07
1.728451.5924372.132690e-07
1.73721.5923212.225777e-07
1.7461.5922042.319335e-07
1.754841.5920862.413366e-07
1.763721.5919672.507874e-07
1.772651.5918472.602860e-07
1.781621.5917272.698327e-07
1.790641.5916052.794277e-07
1.799711.5914832.890713e-07
1.81.5914792.893800e-07
1.808821.5913593.038114e-07
1.817981.5912343.187930e-07
1.827181.5911093.338504e-07
1.836431.5909823.489840e-07
1.845731.5908543.641943e-07
1.855071.5907253.794815e-07
1.864471.5905953.948462e-07
1.873911.5904644.102886e-07
1.883391.5903314.258093e-07
1.892931.5901984.414085e-07
1.902511.5900634.570866e-07
1.912141.5899274.728442e-07
1.921821.5897894.886815e-07
1.931551.5896515.045990e-07
1.941331.5895115.205971e-07
1.951161.5893695.366762e-07
1.961041.5892265.528366e-07
1.970971.5890825.690789e-07
1.980941.5889365.854035e-07
1.990971.5887896.018106e-07
21.5886566.165800e-07
2.001051.5886416.209143e-07
2.011181.5884916.626586e-07
2.021361.5883397.046142e-07
2.03161.5881867.467823e-07
2.041881.5880317.891638e-07
2.052221.5878748.317599e-07
2.062611.5877168.745716e-07
2.073051.5875569.176001e-07
2.083551.5873949.608464e-07
2.09411.5872311.004312e-06
2.10471.5870661.047997e-06
2.115351.5868991.091903e-06
2.126061.586731.136032e-06
2.136831.5865591.180384e-06
2.147641.5863861.224961e-06
2.158521.5862111.269763e-06
2.169441.5860341.314793e-06
2.180431.5858561.360050e-06
2.191471.5856751.405536e-06
2.21.5855341.440700e-06
2.202561.5854911.450750e-06
2.213711.5853061.494512e-06
2.224921.5851191.538495e-06
2.236181.5849291.582700e-06
2.24751.5847371.627129e-06
2.258881.5845421.671784e-06
2.270321.5843451.716664e-06
2.281811.5841461.761772e-06
2.293361.5839441.807108e-06
2.304971.5837391.852673e-06
2.316641.5835321.898469e-06
2.328371.5833231.944497e-06
2.340161.583111.990758e-06
2.352011.5828952.037253e-06
2.363911.5826772.083984e-06
2.375881.5824562.130951e-06
2.387911.5822332.178156e-06
2.41.5820062.225600e-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
—