Optical constants

Refractive index of PBM3 (OHARA)

PBM3: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 320-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.61293
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.60153
Permittivity ε2
1.50915e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
36.994
Chromatic dispersion dn/dλ
-0.0840807 µm⁻¹
Group index ng
1.66233
Group velocity dispersion
162.906 fs²/mm
Dispersion parameter D
-888.738 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

# PBM3 (OHARA): PBM3
ohara_pbm3 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBM3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbm3.range_nm)  # (300, 2400) nm
eps = ohara_pbm3.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=1.32567543λ2λ2−0.00973013804+0.208112474λ2λ2−0.046285933+1.15985207λ2λ2−137.559854

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.32567543
C30.00973013804
C40.208112474
C50.046285933
C61.15985207
C7137.559854

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.292e-06 0.0 0.0 0.0 0.0 0.0
nd
1.612929
Vd
36.994096
glass code
613370
glass status
preferred
density
value: 3530
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
-0.0001
resistance
acid: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.61e-06 K⁻¹ at 633 nm, dn/dT = 2.55e-06 K⁻¹ at 1310 nm, dn/dT = 2.54e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 320-2400 nm only; k = 0 elsewhere in the n range 300-2400 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
PBM3 (OHARA), PBM3: n and k versus wavelength
λ (µm)nk
0.31.7070680
0.3015681.7051550
0.3031431.703290
0.3047271.7014710
0.306321.6996970
0.307921.6979650
0.3095291.6962730
0.3111471.6946220
0.3127721.6930080
0.3144071.6914310
0.3160491.689890
0.3177011.6883820
0.3193611.6869080
0.321.6863517.628600e-06
0.321031.6854657.065065e-06
0.3227071.6840546.147044e-06
0.3243931.6826725.224225e-06
0.3260881.6813194.296585e-06
0.3277921.6799943.364097e-06
0.3295051.6786962.426737e-06
0.331.6783272.155900e-06
0.3312271.6774241.969649e-06
0.3329581.6761781.706902e-06
0.3346971.6749561.442782e-06
0.3364461.6737581.177282e-06
0.3382041.6725849.103949e-07
0.3399711.6714326.421131e-07
0.341.6714136.377800e-07
0.3417481.6703025.642568e-07
0.3435341.6691934.891425e-07
0.3453291.6681054.136358e-07
0.3471331.6670373.377345e-07
0.3489471.6659882.614366e-07
0.351.6653912.171400e-07
0.350771.6649592.073635e-07
0.3526031.6639481.840997e-07
0.3544461.6629561.607145e-07
0.3562981.6619811.372070e-07
0.3581591.6610231.135767e-07
0.361.6600979.021400e-08
0.3600311.6600819.008235e-08
0.3619121.6591578.204510e-08
0.3638031.6582477.396585e-08
0.3657041.6573546.584439e-08
0.3676151.6564755.768049e-08
0.3695361.6556124.947394e-08
0.371.6554064.749100e-08
0.3714671.6547624.543121e-08
0.3734081.6539274.270546e-08
0.3753591.6531053.996547e-08
0.377321.6522973.721116e-08
0.3792921.6515023.444246e-08
0.381.6512213.344800e-08
0.3812741.650723.196448e-08
0.3832661.649952.964411e-08
0.3852691.6491932.731162e-08
0.3872821.6484472.496693e-08
0.3893051.6477132.261000e-08
0.391.6474652.180100e-08
0.391341.6469912.101786e-08
0.3933841.6462791.982245e-08
0.395441.6455791.862079e-08
0.3975061.644891.741285e-08
0.3995831.6442111.619860e-08
0.41.6440761.595500e-08
0.4016711.6435421.518090e-08
0.403771.6428831.420875e-08
0.405881.6422341.323151e-08
0.4080011.6415951.224917e-08
0.4101331.6409651.126169e-08
0.4122761.6403451.026906e-08
0.414431.6397339.271238e-09
0.4165951.6391318.268203e-09
0.4187721.6385377.259927e-09
0.421.6382076.691200e-09
0.420961.6379526.875047e-09
0.423161.6373757.296142e-09
0.4253711.6368077.719437e-09
0.4275941.6362468.144944e-09
0.4298281.6356948.572674e-09
0.4320741.6351499.002639e-09
0.4343321.6346129.434851e-09
0.4366011.6340829.869321e-09
0.4388821.633561.030606e-08
0.441.6333081.052000e-08
0.4411761.6330451.033238e-08
0.4434811.6325379.964520e-09
0.4457981.6320369.594738e-09
0.4481281.6315429.223024e-09
0.4504691.6310558.849368e-09
0.4528231.6305748.473759e-09
0.4551891.6300998.096187e-09
0.4575681.6296317.716642e-09
0.4599591.629177.335114e-09
0.461.6291627.328500e-09
0.4623621.6287146.914345e-09
0.4647781.6282646.490720e-09
0.4672061.6278216.064882e-09
0.4696481.6273835.636818e-09
0.4721021.6269515.206518e-09
0.4745691.6265244.773969e-09
0.4770481.6261034.339161e-09
0.4795411.6256883.902080e-09
0.481.6256123.821600e-09
0.4820471.6252783.837902e-09
0.4845661.6248733.857965e-09
0.4870981.6244733.878132e-09
0.4896431.6240793.898404e-09
0.4922011.6236893.918783e-09
0.4947731.6233043.939268e-09
0.4973581.6229253.959860e-09
0.4999571.6225493.980559e-09
0.51.6225433.980900e-09
0.502571.6221794.001359e-09
0.5051961.6218134.022268e-09
0.5078351.6214524.043286e-09
0.5104891.6210954.064413e-09
0.5131561.6207434.085651e-09
0.5158381.6203954.107000e-09
0.5185331.6200514.128461e-09
0.5212431.6197124.150034e-09
0.5239661.6193764.171719e-09
0.5267041.6190454.193518e-09
0.5294561.6187184.215430e-09
0.5322231.6183944.237458e-09
0.5350041.6180754.259600e-09
0.5377991.6177594.281858e-09
0.5406091.6174474.304232e-09
0.5434341.6171394.326723e-09
0.5462741.6168344.349332e-09
0.5491281.6165334.372059e-09
0.551.6164434.379000e-09
0.5519981.6162364.394900e-09
0.5548821.6159424.417859e-09
0.5577811.6156514.440938e-09
0.5606961.6153644.464138e-09
0.5636261.615084.487459e-09
0.5665711.61484.510902e-09
0.5695311.6145234.534467e-09
0.5725071.6142484.558156e-09
0.5754981.6139774.581968e-09
0.5785061.613714.605905e-09
0.5815281.6134454.629966e-09
0.5845671.6131834.654154e-09
0.5876221.6129244.678468e-09
0.5906921.6126684.702908e-09
0.5937791.6124154.727477e-09
0.5968811.6121644.752174e-09
0.61.6119174.777000e-09
0.6031351.6116724.801962e-09
0.6062871.611434.827054e-09
0.6094551.611194.852278e-09
0.6126391.6109544.877633e-09
0.615841.6107194.903121e-09
0.6190581.6104884.928742e-09
0.6222931.6102594.954497e-09
0.6255451.6100324.980387e-09
0.6288131.6098085.006411e-09
0.6320991.6095865.032572e-09
0.6354021.6093665.058869e-09
0.6387221.6091495.085304e-09
0.6420591.6089345.111877e-09
0.6454141.6087225.138589e-09
0.6487871.6085125.165440e-09
0.651.6084375.175100e-09
0.6521771.6083035.192432e-09
0.6555851.6080985.219565e-09
0.659011.6078945.246839e-09
0.6624541.6076925.274256e-09
0.6659151.6074925.301817e-09
0.6693951.6072955.329521e-09
0.6728921.6070995.357370e-09
0.6764091.6069065.385365e-09
0.6799431.6067145.413505e-09
0.6834961.6065245.441793e-09
0.6870671.6063375.470229e-09
0.6906571.6061515.498813e-09
0.6942661.6059675.527547e-09
0.6978941.6057855.556431e-09
0.71.605685.573200e-09
0.7015411.6056045.585466e-09
0.7052061.6054265.614652e-09
0.7088911.6052495.643991e-09
0.7125951.6050745.673483e-09
0.7163191.60495.703129e-09
0.7200621.6047285.732931e-09
0.7238241.6045585.762888e-09
0.7276061.604395.793001e-09
0.7314081.6042235.823272e-09
0.735231.6040575.853701e-09
0.7390721.6038945.884289e-09
0.7429341.6037315.915037e-09
0.7468161.6035715.945945e-09
0.7507181.6034115.977015e-09
0.7546411.6032536.008248e-09
0.7585841.6030976.039643e-09
0.7625471.6029426.071203e-09
0.7665321.6027896.102928e-09
0.7705371.6026366.134818e-09
0.7745641.6024866.166875e-09
0.7786111.6023366.199099e-09
0.7826791.6021886.231492e-09
0.7867691.6020416.264054e-09
0.790881.6018956.296786e-09
0.7950121.6017516.329689e-09
0.7991671.6016086.362765e-09
0.81.6015796.369400e-09
0.8033421.6014666.396013e-09
0.807541.6013256.429434e-09
0.811761.6011866.463031e-09
0.8160011.6010476.496803e-09
0.8202651.600916.530751e-09
0.8245511.6007746.564877e-09
0.828861.6006396.599181e-09
0.8331911.6005056.633664e-09
0.8375441.6003726.668328e-09
0.8419211.6002416.703172e-09
0.846321.600116.738199e-09
0.8507421.599986.773409e-09
0.8551871.5998516.808803e-09
0.8596561.5997246.844381e-09
0.8641481.5995976.880146e-09
0.8686631.5994716.916097e-09
0.8732021.5993466.952236e-09
0.8777651.5992226.988565e-09
0.8823511.5990997.025083e-09
0.8869621.5989777.061791e-09
0.8915971.5988567.098692e-09
0.8962551.5987357.135785e-09
0.91.598647.165600e-09
0.9009391.5986167.173072e-09
0.9056461.5984977.210549e-09
0.9103781.5983797.248222e-09
0.9151351.5982627.286092e-09
0.9199171.5981467.324160e-09
0.9247241.598037.362427e-09
0.9295561.5979157.400894e-09
0.9344131.5978017.439561e-09
0.9392951.5976887.478431e-09
0.9442041.5975757.517504e-09
0.9491371.5974637.556781e-09
0.9540971.5973527.596264e-09
0.9590821.5972417.635952e-09
0.9640931.5971317.675848e-09
0.9691311.5970227.715953e-09
0.9741951.5969137.756267e-09
0.9792851.5968057.796791e-09
0.9844021.5966987.837528e-09
0.9895461.5965917.878477e-09
0.9947171.5964857.919640e-09
0.9999141.5963797.961019e-09
11.5963777.961700e-09
1.005141.5962748.248372e-09
1.010391.5961698.541342e-09
1.015671.5960658.835842e-09
1.020981.5959619.131881e-09
1.026311.5958589.429467e-09
1.031681.5957569.728608e-09
1.037071.5956541.002931e-08
1.042491.5955521.033159e-08
1.047931.5954511.063544e-08
1.053411.595351.094088e-08
1.058911.5952491.124792e-08
1.064451.5951491.155657e-08
1.070011.595051.186682e-08
1.07561.5949511.217870e-08
1.081221.5948521.249220e-08
1.086871.5947531.280735e-08
1.092551.5946551.312414e-08
1.098261.5945581.344259e-08
1.1041.594461.376270e-08
1.109761.5943631.408448e-08
1.115561.5942661.440795e-08
1.121391.594171.473310e-08
1.127251.5940741.505995e-08
1.133141.5939781.538852e-08
1.139061.5938821.571879e-08
1.145011.5937871.605080e-08
1.1511.5936911.638454e-08
1.157011.5935961.672002e-08
1.163061.5935021.705726e-08
1.169131.5934071.739625e-08
1.175241.5933131.773702e-08
1.181381.5932181.807957e-08
1.187561.5931241.842391e-08
1.193761.5930311.877005e-08
1.21.5929371.911800e-08
1.21.5929371.911800e-08
1.206271.5928431.991856e-08
1.212571.592752.072330e-08
1.218911.5926572.153225e-08
1.225281.5925632.234542e-08
1.231681.592472.316284e-08
1.238121.5923772.398454e-08
1.244591.5922842.481052e-08
1.251091.5921912.564083e-08
1.257631.5920982.647547e-08
1.26421.5920062.731447e-08
1.27081.5919132.815786e-08
1.277441.591822.900565e-08
1.284121.5917272.985788e-08
1.290831.5916343.071455e-08
1.297571.5915413.157571e-08
1.304351.5914493.244136e-08
1.311171.5913563.331154e-08
1.318021.5912633.418626e-08
1.324911.591173.506555e-08
1.331831.5910773.594944e-08
1.338791.5909843.683795e-08
1.345781.590893.773110e-08
1.352821.5907973.862892e-08
1.359891.5907033.953142e-08
1.366991.590614.043865e-08
1.374131.5905164.135061e-08
1.381311.5904224.226734e-08
1.388531.5903284.318886e-08
1.395791.5902344.411519e-08
1.41.5901794.465300e-08
1.403081.590144.494830e-08
1.410411.5900454.565098e-08
1.417781.589954.635733e-08
1.425191.5898554.706738e-08
1.432641.589764.778113e-08
1.440121.5896644.849861e-08
1.447651.5895694.921985e-08
1.455211.5894734.994485e-08
1.462821.5893765.067364e-08
1.470461.589285.140623e-08
1.478141.5891835.214266e-08
1.485871.5890865.288293e-08
1.493631.5889885.362707e-08
1.501441.5888915.437510e-08
1.509281.5887925.512704e-08
1.517171.5886945.588291e-08
1.525091.5885955.664273e-08
1.533061.5884965.740651e-08
1.541071.5883965.817429e-08
1.549131.5882965.894608e-08
1.557221.5881965.972190e-08
1.565361.5880956.050178e-08
1.573541.5879936.128573e-08
1.581761.5878926.207378e-08
1.590021.5877896.286595e-08
1.598331.5876876.366225e-08
1.61.5876666.382200e-08
1.606681.5875836.941120e-08
1.615081.587487.643043e-08
1.623521.5873768.348634e-08
1.6321.5872719.057912e-08
1.640531.5871669.770896e-08
1.64911.587061.048761e-07
1.657721.5869531.120806e-07
1.666381.5868461.193228e-07
1.675091.5867391.266028e-07
1.683841.5866311.339209e-07
1.692641.5865221.412772e-07
1.701481.5864131.486720e-07
1.710371.5863031.561054e-07
1.719311.5861921.635776e-07
1.72831.5860811.710889e-07
1.737331.5859691.786394e-07
1.74641.5858561.862294e-07
1.755531.5857421.938590e-07
1.76471.5856282.015285e-07
1.773921.5855132.092381e-07
1.783191.5853982.169880e-07
1.792511.5852812.247783e-07
1.81.5851882.310400e-07
1.801881.5851642.335754e-07
1.811291.5850462.462931e-07
1.820761.5849272.590771e-07
1.830271.5848082.719280e-07
1.839831.5846872.848460e-07
1.849451.5845662.978316e-07
1.859111.5844443.108850e-07
1.868831.5843213.240065e-07
1.878591.5841973.371967e-07
1.888411.5840723.504558e-07
1.898271.5839463.637841e-07
1.908191.5838193.771821e-07
1.918161.5836923.906501e-07
1.928191.5835634.041885e-07
1.938261.5834334.177976e-07
1.948391.5833024.314779e-07
1.958571.5831714.452296e-07
1.96881.5830384.590532e-07
1.979091.5829044.729490e-07
1.989431.5827694.869174e-07
1.999831.5826335.009588e-07
21.5826315.011900e-07
2.010281.5824965.349396e-07
2.020781.5823585.694306e-07
2.031341.5822186.041019e-07
2.041961.5820786.389543e-07
2.052631.5819366.739888e-07
2.063351.5817937.092063e-07
2.074131.5816497.446079e-07
2.084971.5815037.801945e-07
2.095861.5813568.159670e-07
2.106821.5812088.519264e-07
2.117821.5810598.880738e-07
2.128891.5809099.244100e-07
2.140011.5807579.609361e-07
2.15121.5806039.976530e-07
2.162441.5804491.034562e-06
2.173741.5802931.071663e-06
2.18511.5801351.108959e-06
2.196511.5799761.146449e-06
2.21.5799271.157900e-06
2.207991.5798161.177755e-06
2.219531.5796541.206425e-06
2.231121.579491.235245e-06
2.242781.5793251.264216e-06
2.25451.5791591.293338e-06
2.266281.5789911.322612e-06
2.278121.5788211.352039e-06
2.290031.578651.381620e-06
2.301991.5784771.411355e-06
2.314021.5783021.441246e-06
2.326111.5781261.471293e-06
2.338271.5779481.501496e-06
2.350491.5777681.531858e-06
2.362771.5775871.562379e-06
2.375111.5774041.593058e-06
2.387521.5772181.623899e-06
2.41.5770321.654900e-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
—