Optical constants

Refractive index of PBH71 (OHARA)

PBH71: 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 370-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.92286
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.69737
Permittivity ε2
3.60010e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
21.289
Chromatic dispersion dn/dλ
-0.215605 µm⁻¹
Group index ng
2.04954
Group velocity dispersion
459.235 fs²/mm
Dispersion parameter D
-2505.37 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

# PBH71 (OHARA): PBH71
ohara_pbh71 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH71", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh71.range_nm)  # (300, 2400) nm
eps = ohara_pbh71.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=1.97039844λ2λ2−0.0155780448+0.520330498λ2λ2−0.0632642123+1.30696186λ2λ2−142.045097

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.97039844
C30.0155780448
C40.520330498
C50.0632642123
C61.30696186
C7142.045097

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.76e-05 0.0 0.0 0.0 0.0 0.0
nd
1.922864
Vd
21.288699
glass code
923213
glass status
preferred
density
value: 6050
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 1.01e-05, temperature range: 293 573
dPgF
0.0204
resistance
acid: 53.4; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.22e-05 K⁻¹ at 633 nm, dn/dT = 1.18e-05 K⁻¹ at 1310 nm, dn/dT = 1.17e-05 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 370-2400 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 421 wavelengths, the same grid as the API and the library
PBH71 (OHARA), PBH71: n and k versus wavelength
λ (µm)nk
0.32.2657430
0.3015682.2553210
0.3031432.2453950
0.3047272.2359280
0.306322.2268860
0.307922.218240
0.3095292.2099620
0.3111472.2020280
0.3127722.1944150
0.3144072.1871040
0.3160492.1800750
0.3177012.1733110
0.3193612.1667960
0.321032.1605160
0.3227072.1544580
0.3243932.148610
0.3260882.1429590
0.3277922.1374960
0.3295052.132210
0.3312272.1270930
0.3329582.1221370
0.3346972.1173330
0.3364462.1126740
0.3382042.1081530
0.3399712.1037640
0.3417482.0995010
0.3435342.0953580
0.3453292.091330
0.3471332.0874120
0.3489472.0835990
0.350772.0798870
0.3526032.0762720
0.3544462.072750
0.3562982.0693170
0.3581592.0659710
0.3600312.0627060
0.3619122.0595210
0.3638032.0564120
0.3657042.0533770
0.3676152.0504130
0.3695362.0475180
0.372.046831.151800e-05
0.3714672.0446881.048043e-05
0.3734082.0419229.107407e-06
0.3753592.0392187.727206e-06
0.377322.0365746.339794e-06
0.3792922.0339874.945132e-06
0.382.0330744.444200e-06
0.3812742.0314554.107334e-06
0.3832662.0289783.580445e-06
0.3852692.0265533.050803e-06
0.3872822.0241782.518393e-06
0.3893052.0218521.983201e-06
0.392.0210681.799500e-06
0.391342.0195741.669886e-06
0.3933842.0173421.472037e-06
0.395442.0151551.273155e-06
0.3975062.0130111.073233e-06
0.3995832.0109098.722666e-07
0.42.0104938.319500e-07
0.4016712.0088477.842046e-07
0.403772.0068267.242432e-07
0.405882.0048436.639685e-07
0.4080012.0028986.033788e-07
0.4101332.0009895.424726e-07
0.4122761.9991164.812481e-07
0.414431.9972784.197037e-07
0.4165951.9954733.578377e-07
0.4187721.9937012.956484e-07
0.421.9927192.605700e-07
0.420961.991962.545717e-07
0.423161.9902512.408329e-07
0.4253711.9885722.270223e-07
0.4275941.9869232.131396e-07
0.4298281.9853031.991843e-07
0.4320741.983711.851560e-07
0.4343321.9821451.710545e-07
0.4366011.9806071.568793e-07
0.4388821.9790951.426300e-07
0.441.9783661.356500e-07
0.4411761.9776081.329032e-07
0.4434811.9761461.275175e-07
0.4457981.9747091.221038e-07
0.4481281.9732951.166617e-07
0.4504691.9719051.111912e-07
0.4528231.9705371.056921e-07
0.4551891.9691911.001643e-07
0.4575681.9678679.460758e-08
0.4599591.9665648.902184e-08
0.461.9665428.892500e-08
0.4623621.9652828.524096e-08
0.4647781.964028.147268e-08
0.4672061.9627787.768471e-08
0.4696481.9615557.387695e-08
0.4721021.9603527.004929e-08
0.4745691.9591676.620163e-08
0.4770481.9586.233387e-08
0.4795411.9568515.844589e-08
0.481.9566425.773000e-08
0.4820471.9557195.550336e-08
0.4845661.9546055.276314e-08
0.4870981.9535075.000861e-08
0.4896431.9524264.723969e-08
0.4922011.9513614.445630e-08
0.4947731.9503114.165836e-08
0.4973581.9492773.884581e-08
0.4999571.9482583.601856e-08
0.51.9482423.597200e-08
0.502571.9472553.457364e-08
0.5051961.9462653.314456e-08
0.5078351.945293.170802e-08
0.5104891.9443293.026396e-08
0.5131561.9433822.881237e-08
0.5158381.9424482.735319e-08
0.5185331.9415282.588638e-08
0.5212431.940622.441191e-08
0.5239661.9397262.292973e-08
0.5267041.9388432.143981e-08
0.5294561.9379741.994211e-08
0.5322231.9371161.843657e-08
0.5350041.936271.692318e-08
0.5377991.9354351.540187e-08
0.5406091.9346131.387262e-08
0.5434341.9338011.233537e-08
0.5462741.9331.079009e-08
0.5491281.9322119.236739e-09
0.551.9319728.762300e-09
0.5519981.9314328.794124e-09
0.5548821.9306638.840077e-09
0.5577811.9299058.886270e-09
0.5606961.9291578.932705e-09
0.5636261.9284188.979382e-09
0.5665711.927699.026303e-09
0.5695311.9269719.073469e-09
0.5725071.9262629.120881e-09
0.5754981.9255619.168542e-09
0.5785061.924879.216451e-09
0.5815281.9241889.264611e-09
0.5845671.9235159.313022e-09
0.5876221.9228519.361687e-09
0.5906921.9221959.410605e-09
0.5937791.9215479.459779e-09
0.5968811.9209089.509211e-09
0.61.9202779.558900e-09
0.6031351.9196549.284023e-09
0.6062871.9190389.007710e-09
0.6094551.9184318.729953e-09
0.6126391.9178318.450745e-09
0.615841.9172398.170078e-09
0.6190581.9166547.887944e-09
0.6222931.9160767.604337e-09
0.6255451.9155057.319247e-09
0.6288131.9149427.032667e-09
0.6320991.9143856.744590e-09
0.6354021.9138366.455008e-09
0.6387221.9132936.163913e-09
0.6420591.9127565.871297e-09
0.6454141.9122265.577151e-09
0.6487871.9117035.281469e-09
0.651.9115175.175100e-09
0.6521771.9111865.192432e-09
0.6555851.9106755.219565e-09
0.659011.910175.246839e-09
0.6624541.9096715.274256e-09
0.6659151.9091785.301817e-09
0.6693951.9086915.329521e-09
0.6728921.908215.357370e-09
0.6764091.9077355.385365e-09
0.6799431.9072655.413505e-09
0.6834961.90685.441793e-09
0.6870671.9063425.470229e-09
0.6906571.9058885.498813e-09
0.6942661.905445.527547e-09
0.6978941.9049965.556431e-09
0.71.9047435.573200e-09
0.7015411.9045585.585466e-09
0.7052061.9041255.614652e-09
0.7088911.9036975.643991e-09
0.7125951.9032745.673483e-09
0.7163191.9028565.703129e-09
0.7200621.9024435.732931e-09
0.7238241.9020345.762888e-09
0.7276061.9016295.793001e-09
0.7314081.901235.823272e-09
0.735231.9008355.853701e-09
0.7390721.9004445.884289e-09
0.7429341.9000575.915037e-09
0.7468161.8996755.945945e-09
0.7507181.8992975.977015e-09
0.7546411.8989246.008248e-09
0.7585841.8985546.039643e-09
0.7625471.8981896.071203e-09
0.7665321.8978276.102928e-09
0.7705371.897476.134818e-09
0.7745641.8971166.166875e-09
0.7786111.8967666.199099e-09
0.7826791.896426.231492e-09
0.7867691.8960776.264054e-09
0.790881.8957396.296786e-09
0.7950121.8954036.329689e-09
0.7991671.8950726.362765e-09
0.81.8950066.369400e-09
0.8033421.8947446.635747e-09
0.807541.8944196.970242e-09
0.811761.8940987.306484e-09
0.8160011.893787.644483e-09
0.8202651.8934667.984248e-09
0.8245511.8931558.325789e-09
0.828861.8928478.669114e-09
0.8331911.8925429.014233e-09
0.8375441.892249.361155e-09
0.8419211.8919419.709891e-09
0.846321.8916461.006045e-08
0.8507421.8913531.041284e-08
0.8551871.8910641.076707e-08
0.8596561.8907771.112315e-08
0.8641481.8904931.148109e-08
0.8686631.8902121.184090e-08
0.8732021.8899341.220260e-08
0.8777651.8896591.256618e-08
0.8823511.8893861.293166e-08
0.8869621.8891161.329905e-08
0.8915971.8888481.366836e-08
0.8962551.8885831.403961e-08
0.91.8883731.433800e-08
0.9009391.8883211.435295e-08
0.9056461.8880611.442794e-08
0.9103781.8878041.450333e-08
0.9151351.8875491.457911e-08
0.9199171.8872971.465528e-08
0.9247241.8870471.473185e-08
0.9295561.8867991.480882e-08
0.9344131.8865541.488620e-08
0.9392951.8863111.496398e-08
0.9442041.886071.504216e-08
0.9491371.8858321.512076e-08
0.9540971.8855951.519976e-08
0.9590821.8853611.527918e-08
0.9640931.8851291.535901e-08
0.9691311.8848991.543926e-08
0.9741951.884671.551993e-08
0.9792851.8844441.560102e-08
0.9844021.884221.568253e-08
0.9895461.8839981.576447e-08
0.9947171.8837781.584684e-08
0.9999141.883561.592964e-08
11.8835561.593100e-08
1.005141.8833441.625888e-08
1.010391.8831291.659396e-08
1.015671.8829161.693080e-08
1.020981.8827061.726939e-08
1.026311.8824961.760976e-08
1.031681.8822891.795190e-08
1.037071.8820831.829583e-08
1.042491.8818791.864156e-08
1.047931.8816771.898909e-08
1.053411.8814761.933844e-08
1.058911.8812771.968961e-08
1.064451.8810792.004262e-08
1.070011.8808832.039748e-08
1.07561.8806892.075419e-08
1.081221.8804962.111276e-08
1.086871.8803042.147320e-08
1.092551.8801142.183553e-08
1.098261.8799252.219976e-08
1.1041.8797382.256588e-08
1.109761.8795522.293392e-08
1.115561.8793682.330388e-08
1.121391.8791842.367578e-08
1.127251.8790032.404962e-08
1.133141.8788222.442541e-08
1.139061.8786432.480316e-08
1.145011.8784642.518289e-08
1.1511.8782882.556461e-08
1.157011.8781122.594831e-08
1.163061.8779372.633403e-08
1.169131.8777642.672176e-08
1.175241.8775922.711151e-08
1.181381.877422.750330e-08
1.187561.877252.789714e-08
1.193761.8770812.829304e-08
1.21.8769132.869100e-08
1.21.8769132.869100e-08
1.206271.8767462.954229e-08
1.212571.876583.039802e-08
1.218911.8764153.125822e-08
1.225281.8762513.212292e-08
1.231681.8760883.299214e-08
1.238121.8759263.386590e-08
1.244591.8757653.474423e-08
1.251091.8756043.562714e-08
1.257631.8754453.651467e-08
1.26421.8752863.740683e-08
1.27081.8751283.830366e-08
1.277441.8749713.920518e-08
1.284121.8748154.011140e-08
1.290831.8746594.102236e-08
1.297571.8745044.193808e-08
1.304351.874354.285858e-08
1.311171.8741974.378390e-08
1.318021.8740444.471405e-08
1.324911.8738924.564906e-08
1.331831.8737414.658895e-08
1.338791.873594.753376e-08
1.345781.873444.848350e-08
1.352821.8732914.943821e-08
1.359891.8731425.039790e-08
1.366991.8729935.136261e-08
1.374131.8728455.233236e-08
1.381311.8726985.330718e-08
1.388531.8725515.428709e-08
1.395791.8724055.527212e-08
1.41.872325.584400e-08
1.403081.8722595.636155e-08
1.410411.8721145.759308e-08
1.417781.8719695.883105e-08
1.425191.8718246.007549e-08
1.432641.871686.132643e-08
1.440121.8715366.258391e-08
1.447651.8713936.384795e-08
1.455211.871256.511860e-08
1.462821.8711076.639590e-08
1.470461.8709656.767986e-08
1.478141.8708226.897054e-08
1.485871.8706817.026796e-08
1.493631.8705397.157215e-08
1.501441.8703987.288317e-08
1.509281.8702577.420103e-08
1.517171.8701167.552578e-08
1.525091.8699757.685745e-08
1.533061.8698347.819608e-08
1.541071.8696947.954170e-08
1.549131.8695548.089436e-08
1.557221.8694148.225408e-08
1.565361.8692748.362091e-08
1.573541.8691348.499488e-08
1.581761.8689948.637603e-08
1.590021.8688548.776440e-08
1.598331.8687158.916002e-08
1.61.8686878.944000e-08
1.606681.8685759.368660e-08
1.615081.8684359.901972e-08
1.623521.8682961.043807e-07
1.6321.8681561.097697e-07
1.640531.8680161.151869e-07
1.64911.8678761.206323e-07
1.657721.8677371.261062e-07
1.666381.8675971.316088e-07
1.675091.8674571.371400e-07
1.683841.8673161.427002e-07
1.692641.8671761.482894e-07
1.701481.8670361.539079e-07
1.710371.8668951.595557e-07
1.719311.8667541.652330e-07
1.72831.8666131.709399e-07
1.737331.8664721.766767e-07
1.74641.866331.824435e-07
1.755531.8661881.882404e-07
1.76471.8660461.940676e-07
1.773921.8659041.999252e-07
1.783191.8657612.058134e-07
1.792511.8656182.117325e-07
1.81.8655042.164900e-07
1.801881.8654752.182400e-07
1.811291.8653312.270178e-07
1.820761.8651872.358415e-07
1.830271.8650432.447113e-07
1.839831.8648982.536274e-07
1.849451.8647522.625902e-07
1.859111.8646062.715997e-07
1.868831.864462.806564e-07
1.878591.8643132.897603e-07
1.888411.8641662.989119e-07
1.898271.8640183.081112e-07
1.908191.863873.173586e-07
1.918161.8637213.266544e-07
1.928191.8635723.359987e-07
1.938261.8634213.453918e-07
1.948391.8632713.548341e-07
1.958571.8631193.643256e-07
1.96881.8629673.738668e-07
1.979091.8628153.834578e-07
1.989431.8626613.930989e-07
1.999831.8625074.027904e-07
21.8625054.029500e-07
2.010281.8623524.255548e-07
2.020781.8621974.486561e-07
2.031341.8620414.718781e-07
2.041961.8618834.952215e-07
2.052631.8617265.186868e-07
2.063351.8615675.422748e-07
2.074131.8614075.659860e-07
2.084971.8612475.898211e-07
2.095861.8610856.137808e-07
2.106821.8609236.378656e-07
2.117821.860766.620763e-07
2.128891.8605966.864135e-07
2.140011.860437.108779e-07
2.15121.8602647.354701e-07
2.162441.8600977.601908e-07
2.173741.8599297.850406e-07
2.18511.859768.100204e-07
2.196511.8595898.351306e-07
2.21.8595378.428000e-07
2.207991.8594188.744085e-07
2.219531.8592459.200500e-07
2.231121.8590729.659299e-07
2.242781.8588971.012050e-06
2.25451.8587211.058410e-06
2.266281.8585431.105013e-06
2.278121.8583651.151860e-06
2.290031.8581851.198951e-06
2.301991.8580041.246288e-06
2.314021.8578211.293873e-06
2.326111.8576381.341706e-06
2.338271.8574521.389789e-06
2.350491.8572661.438123e-06
2.362771.8570781.486710e-06
2.375111.8568891.535551e-06
2.387521.8566981.584647e-06
2.41.8565061.634000e-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
—