Optical constants

Refractive index of PBH1 (OHARA)

PBH1: 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 340-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.71736
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.94932
Permittivity ε2
1.60686e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
29.514
Chromatic dispersion dn/dλ
-0.122403 µm⁻¹
Group index ng
1.78928
Group velocity dispersion
246.752 fs²/mm
Dispersion parameter D
-1346.16 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

# PBH1 (OHARA): PBH1
ohara_pbh1 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh1.range_nm)  # (300, 2400) nm
eps = ohara_pbh1.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=1.55408138λ2λ2−0.0120146818+0.289397861λ2λ2−0.0532883208+1.06727944λ2λ2−122.863029

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.55408138
C30.0120146818
C40.289397861
C50.0532883208
C61.06727944
C7122.863029

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.076e-05 0.0 0.0 0.0 0.0 0.0
nd
1.717362
Vd
29.513538
glass code
717295
glass status
preferred
density
value: 4470
thermal expansion
value: 8e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
0.0048
resistance
acid: 3.2; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.07e-06 K⁻¹ at 633 nm, dn/dT = 5.89e-06 K⁻¹ at 1310 nm, dn/dT = 5.87e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 340-2400 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 424 wavelengths, the same grid as the API and the library
PBH1 (OHARA), PBH1: n and k versus wavelength
λ (µm)nk
0.31.8714150
0.3015681.8678350
0.3031431.8643680
0.3047271.8610090
0.306321.8577540
0.307921.8545960
0.3095291.8515310
0.3111471.8485550
0.3127721.8456630
0.3144071.8428530
0.3160491.8401190
0.3177011.837460
0.3193611.8348720
0.321031.8323510
0.3227071.8298950
0.3243931.8275020
0.3260881.8251690
0.3277921.8228940
0.3295051.8206730
0.3312271.8185070
0.3329581.8163910
0.3346971.8143250
0.3364461.8123060
0.3382041.8103340
0.3399711.8084060
0.341.8083759.487500e-06
0.3417481.806528.340273e-06
0.3435341.8046767.168220e-06
0.3453291.8028725.990042e-06
0.3471331.8011074.805709e-06
0.3489471.7993793.615187e-06
0.351.7983962.924000e-06
0.350771.7976872.777482e-06
0.3526031.796032.428836e-06
0.3544461.7944072.078368e-06
0.3562981.7928181.726069e-06
0.3581591.791261.371929e-06
0.361.7897571.021800e-06
0.3600311.7897331.020020e-06
0.3619121.7882369.113363e-07
0.3638031.7867688.020851e-07
0.3657041.7853286.922630e-07
0.3676151.7839175.818670e-07
0.3695361.7825314.708942e-07
0.371.7822024.440800e-07
0.3714671.7811724.111318e-07
0.3734081.7798383.675311e-07
0.3753591.7785293.237026e-07
0.377321.7772432.796450e-07
0.3792921.7759812.353572e-07
0.381.7755352.194500e-07
0.3812741.7747422.084589e-07
0.3832661.7735241.912678e-07
0.3852691.7723281.739869e-07
0.3872821.7711531.566157e-07
0.3893051.7699991.391537e-07
0.391.7696091.331600e-07
0.391341.7688641.274316e-07
0.3933841.7677491.186874e-07
0.395441.7666531.098976e-07
0.3975061.7655761.010618e-07
0.3995831.7645169.217984e-08
0.41.7643069.039800e-08
0.4016711.7634748.678179e-08
0.403771.7624498.224035e-08
0.405881.7614427.767518e-08
0.4080011.760457.308615e-08
0.4101331.7594756.847314e-08
0.4122761.7585156.383603e-08
0.414431.7575715.917469e-08
0.4165951.7566415.448900e-08
0.4187721.7557274.977882e-08
0.421.7552194.712200e-08
0.420961.7548264.637932e-08
0.423161.753944.467825e-08
0.4253711.7530684.296829e-08
0.4275941.7522094.124939e-08
0.4298281.7513633.952151e-08
0.4320741.750533.778460e-08
0.4343321.7497093.603862e-08
0.4366011.7489013.428351e-08
0.4388821.7481063.251923e-08
0.441.7477223.165500e-08
0.4411761.7473223.108917e-08
0.4434811.7465492.997977e-08
0.4457981.7457882.886457e-08
0.4481281.7450382.774355e-08
0.4504691.7442992.661667e-08
0.4528231.7435712.548390e-08
0.4551891.7428542.434521e-08
0.4575681.7421462.320057e-08
0.4599591.7414492.204995e-08
0.461.7414372.203000e-08
0.4623621.7407622.123639e-08
0.4647781.7400842.042463e-08
0.4672061.7394161.960863e-08
0.4696481.7387581.878836e-08
0.4721021.7381091.796381e-08
0.4745691.7374681.713495e-08
0.4770481.7368371.630176e-08
0.4795411.7362141.546422e-08
0.481.7361011.531000e-08
0.4820471.73561.496666e-08
0.4845661.7349941.454413e-08
0.4870981.7343971.411939e-08
0.4896431.7338071.369243e-08
0.4922011.7332261.326325e-08
0.4947731.7326521.283182e-08
0.4973581.7320861.239813e-08
0.4999571.7315281.196218e-08
0.51.7315191.195500e-08
0.502571.7309771.156565e-08
0.5051961.7304331.116776e-08
0.5078351.7298971.076778e-08
0.5104891.7293671.036571e-08
0.5131561.7288459.961543e-09
0.5158381.7283299.555262e-09
0.5185331.727829.146859e-09
0.5212431.7273188.736322e-09
0.5239661.7268228.323640e-09
0.5267041.7263327.908801e-09
0.5294561.7258497.491795e-09
0.5322231.7253727.072609e-09
0.5350041.7249016.651234e-09
0.5377991.7244366.227656e-09
0.5406091.7239765.801866e-09
0.5434341.7235235.373850e-09
0.5462741.7230754.943598e-09
0.5491281.7226334.511098e-09
0.551.7224994.379000e-09
0.5519981.7221964.394900e-09
0.5548821.7217654.417859e-09
0.5577811.7213394.440938e-09
0.5606961.7209184.464138e-09
0.5636261.7205034.487459e-09
0.5665711.7200924.510902e-09
0.5695311.7196874.534467e-09
0.5725071.7192864.558156e-09
0.5754981.718894.581968e-09
0.5785061.7184994.605905e-09
0.5815281.7181134.629966e-09
0.5845671.7177324.654154e-09
0.5876221.7173544.678468e-09
0.5906921.7169824.702908e-09
0.5937791.7166144.727477e-09
0.5968811.716254.752174e-09
0.61.715894.777000e-09
0.6031351.7155354.801962e-09
0.6062871.7151844.827054e-09
0.6094551.7148374.852278e-09
0.6126391.7144944.877633e-09
0.615841.7141554.903121e-09
0.6190581.713824.928742e-09
0.6222931.7134884.954497e-09
0.6255451.7131614.980387e-09
0.6288131.7128375.006411e-09
0.6320991.7125175.032572e-09
0.6354021.7122015.058869e-09
0.6387221.7118885.085304e-09
0.6420591.7115795.111877e-09
0.6454141.7112735.138589e-09
0.6487871.7109715.165440e-09
0.651.7108635.175100e-09
0.6521771.7106725.192432e-09
0.6555851.7103765.219565e-09
0.659011.7100845.246839e-09
0.6624541.7097945.274256e-09
0.6659151.7095085.301817e-09
0.6693951.7092265.329521e-09
0.6728921.7089465.357370e-09
0.6764091.7086695.385365e-09
0.6799431.7083955.413505e-09
0.6834961.7081255.441793e-09
0.6870671.7078575.470229e-09
0.6906571.7075925.498813e-09
0.6942661.707335.527547e-09
0.6978941.707075.556431e-09
0.71.7069225.573200e-09
0.7015411.7068145.585466e-09
0.7052061.706565.614652e-09
0.7088911.7063095.643991e-09
0.7125951.706065.673483e-09
0.7163191.7058145.703129e-09
0.7200621.7055715.732931e-09
0.7238241.705335.762888e-09
0.7276061.7050925.793001e-09
0.7314081.7048565.823272e-09
0.735231.7046225.853701e-09
0.7390721.7043915.884289e-09
0.7429341.7041635.915037e-09
0.7468161.7039365.945945e-09
0.7507181.7037125.977015e-09
0.7546411.703496.008248e-09
0.7585841.703276.039643e-09
0.7625471.7030536.071203e-09
0.7665321.7028386.102928e-09
0.7705371.7026246.134818e-09
0.7745641.7024136.166875e-09
0.7786111.7022046.199099e-09
0.7826791.7019976.231492e-09
0.7867691.7017926.264054e-09
0.790881.7015896.296786e-09
0.7950121.7013886.329689e-09
0.7991671.7011896.362765e-09
0.81.7011496.369400e-09
0.8033421.7009916.396013e-09
0.807541.7007966.429434e-09
0.811761.7006026.463031e-09
0.8160011.700416.496803e-09
0.8202651.700226.530751e-09
0.8245511.7000326.564877e-09
0.828861.6998466.599181e-09
0.8331911.6996616.633664e-09
0.8375441.6994786.668328e-09
0.8419211.6992966.703172e-09
0.846321.6991166.738199e-09
0.8507421.6989386.773409e-09
0.8551871.6987616.808803e-09
0.8596561.6985866.844381e-09
0.8641481.6984126.880146e-09
0.8686631.698246.916097e-09
0.8732021.6980696.952236e-09
0.8777651.69796.988565e-09
0.8823511.6977327.025083e-09
0.8869621.6975667.061791e-09
0.8915971.6974017.098692e-09
0.8962551.6972387.135785e-09
0.91.6971087.165600e-09
0.9009391.6970757.173072e-09
0.9056461.6969147.210549e-09
0.9103781.6967557.248222e-09
0.9151351.6965977.286092e-09
0.9199171.696447.324160e-09
0.9247241.6962847.362427e-09
0.9295561.6961297.400894e-09
0.9344131.6959767.439561e-09
0.9392951.6958247.478431e-09
0.9442041.6956737.517504e-09
0.9491371.6955237.556781e-09
0.9540971.6953747.596264e-09
0.9590821.6952267.635952e-09
0.9640931.695087.675848e-09
0.9691311.6949347.715953e-09
0.9741951.694797.756267e-09
0.9792851.6946477.796791e-09
0.9844021.6945047.837528e-09
0.9895461.6943637.878477e-09
0.9947171.6942227.919640e-09
0.9999141.6940837.961019e-09
11.6940817.961700e-09
1.005141.6939458.002618e-09
1.010391.6938078.044435e-09
1.015671.693678.086471e-09
1.020981.6935358.128726e-09
1.026311.69348.171202e-09
1.031681.6932668.213901e-09
1.037071.6931328.256822e-09
1.042491.6938.299967e-09
1.047931.6928698.343338e-09
1.053411.6927388.386935e-09
1.058911.6926088.430761e-09
1.064451.6924798.474815e-09
1.070011.692358.519099e-09
1.07561.6922228.563615e-09
1.081221.6920958.608364e-09
1.086871.6919698.653346e-09
1.092551.6918438.698564e-09
1.098261.6917188.744017e-09
1.1041.6915948.789708e-09
1.109761.691478.835638e-09
1.115561.6913478.881808e-09
1.121391.6912248.928219e-09
1.127251.6911028.974873e-09
1.133141.6909819.021770e-09
1.139061.690869.068913e-09
1.145011.690749.116301e-09
1.1511.690629.163938e-09
1.157011.6905019.211823e-09
1.163061.6903829.259959e-09
1.169131.6902649.308346e-09
1.175241.6901479.356986e-09
1.181381.6900299.405880e-09
1.187561.6899129.455029e-09
1.193761.6897969.504436e-09
1.21.689689.554100e-09
1.21.689689.554100e-09
1.206271.6895641.030399e-08
1.212571.6894491.105780e-08
1.218911.6893341.181555e-08
1.225281.689221.257726e-08
1.231681.6891061.334295e-08
1.238121.6889921.411264e-08
1.244591.6888791.488635e-08
1.251091.6887651.566410e-08
1.257631.6886521.644592e-08
1.26421.688541.723182e-08
1.27081.6884281.802183e-08
1.277441.6883151.881597e-08
1.284121.6882041.961426e-08
1.290831.6880922.041671e-08
1.297571.6879812.122336e-08
1.304351.6878692.203423e-08
1.311171.6877582.284933e-08
1.318021.6876472.366870e-08
1.324911.6875372.449234e-08
1.331831.6874262.532029e-08
1.338791.6873162.615256e-08
1.345781.6872052.698918e-08
1.352821.6870952.783018e-08
1.359891.6869852.867557e-08
1.366991.6868752.952537e-08
1.374131.6867653.037962e-08
1.381311.6866553.123833e-08
1.388531.6865453.210152e-08
1.395791.6864353.296923e-08
1.41.6863723.347300e-08
1.403081.6863263.354667e-08
1.410411.6862163.372196e-08
1.417781.6861063.389817e-08
1.425191.6859963.407530e-08
1.432641.6858863.425336e-08
1.440121.6857763.443235e-08
1.447651.6856663.461227e-08
1.455211.6855563.479313e-08
1.462821.6854463.497494e-08
1.470461.6853363.515770e-08
1.478141.6852253.534141e-08
1.485871.6851153.552608e-08
1.493631.6850043.571172e-08
1.501441.6848933.589833e-08
1.509281.6847823.608591e-08
1.517171.6846713.627447e-08
1.525091.6845593.646402e-08
1.533061.6844483.665456e-08
1.541071.6843363.684609e-08
1.549131.6842243.703863e-08
1.557221.6841113.723217e-08
1.565361.6839993.742672e-08
1.573541.6838863.762229e-08
1.581761.6837733.781888e-08
1.590021.6836593.801650e-08
1.598331.6835453.821515e-08
1.61.6835233.825500e-08
1.606681.6834314.227214e-08
1.615081.6833174.731709e-08
1.623521.6832025.238840e-08
1.6321.6830875.748621e-08
1.640531.6829716.261066e-08
1.64911.6828556.776189e-08
1.657721.6827397.294003e-08
1.666381.6826227.814523e-08
1.675091.6825048.337762e-08
1.683841.6823878.863736e-08
1.692641.6822689.392458e-08
1.701481.682159.923943e-08
1.710371.682031.045820e-07
1.719311.681911.099526e-07
1.72831.681791.153512e-07
1.737331.6816691.207780e-07
1.74641.6815481.262332e-07
1.755531.6814261.317168e-07
1.76471.6813031.372291e-07
1.773921.681181.427703e-07
1.783191.6810561.483403e-07
1.792511.6809321.539395e-07
1.81.6808321.584400e-07
1.801881.6808071.596662e-07
1.811291.6806811.658167e-07
1.820761.6805541.719993e-07
1.830271.6804271.782143e-07
1.839831.6802991.844617e-07
1.849451.6801711.907418e-07
1.859111.6800411.970546e-07
1.868831.6799112.034005e-07
1.878591.679782.097795e-07
1.888411.6796492.161919e-07
1.898271.6795162.226377e-07
1.908191.6793832.291173e-07
1.918161.6792482.356307e-07
1.928191.6791132.421781e-07
1.938261.6789772.487598e-07
1.948391.678842.553758e-07
1.958571.6787032.620264e-07
1.96881.6785642.687118e-07
1.979091.6784242.754321e-07
1.989431.6782842.821875e-07
1.999831.6781422.889782e-07
21.678142.890900e-07
2.010281.6779993.109614e-07
2.020781.6778563.333132e-07
2.031341.6777113.557819e-07
2.041961.6775653.783679e-07
2.052631.6774184.010720e-07
2.063351.677274.238947e-07
2.074131.6771214.468366e-07
2.084971.6769714.698985e-07
2.095861.6768194.930808e-07
2.106821.6766675.163843e-07
2.117821.6765135.398095e-07
2.128891.6763585.633571e-07
2.140011.6762025.870278e-07
2.15121.6760446.108222e-07
2.162441.6758856.347409e-07
2.173741.6757256.587845e-07
2.18511.6755636.829538e-07
2.196511.6754017.072494e-07
2.21.6753517.146700e-07
2.207991.6752367.268640e-07
2.219531.6750717.444716e-07
2.231121.6749047.621712e-07
2.242781.6747357.799633e-07
2.25451.6745657.978484e-07
2.266281.6743948.158269e-07
2.278121.6742218.338993e-07
2.290031.6740478.520662e-07
2.301991.6738718.703280e-07
2.314021.6736938.886853e-07
2.326111.6735149.071384e-07
2.338271.6733339.256880e-07
2.350491.6731519.443345e-07
2.362771.6729669.630785e-07
2.375111.672789.819204e-07
2.387521.6725931.000861e-06
2.41.6724031.019900e-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
—