Optical constants

Refractive index of PBH3 (OHARA)

PBH3: 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 350-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.73999
Extinction coefficient k
5.76535e-09
Permittivity ε1
3.02757
Permittivity ε2
2.00633e-08
Absorption coefficient α
0.00123297 cm⁻¹
Penetration depth δ = λ/(2πk)
1.62209e+10 nm
Abbe number Vd
28.284
Chromatic dispersion dn/dλ
-0.13151 µm⁻¹
Group index ng
1.81727
Group velocity dispersion
267.413 fs²/mm
Dispersion parameter D
-1458.88 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

# PBH3 (OHARA): PBH3
ohara_pbh3 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh3.range_nm)  # (300, 2400) nm
eps = ohara_pbh3.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=1.59470208λ2λ2−0.0122277091+0.317791814λ2λ2−0.0544975824+1.29219485λ2λ2−147.63368

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.59470208
C30.0122277091
C40.317791814
C50.0544975824
C61.29219485
C7147.63368

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.078e-05 0.0 0.0 0.0 0.0 0.0
nd
1.739998
Vd
28.283809
glass code
740283
glass status
preferred
density
value: 4660
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
0.007
resistance
acid: 3.2; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.24e-06 K⁻¹ at 633 nm, dn/dT = 6.05e-06 K⁻¹ at 1310 nm, dn/dT = 6.03e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 350-2400 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 423 wavelengths, the same grid as the API and the library
PBH3 (OHARA), PBH3: n and k versus wavelength
λ (µm)nk
0.31.9105640
0.3015681.9064680
0.3031431.9025090
0.3047271.898680
0.306321.8949740
0.307921.8913850
0.3095291.8879070
0.3111471.8845340
0.3127721.8812620
0.3144071.8780850
0.3160491.8750
0.3177011.8720020
0.3193611.8690870
0.321031.8662520
0.3227071.8634940
0.3243931.8608080
0.3260881.8581930
0.3277921.8556440
0.3295051.853160
0.3312271.8507380
0.3329581.8483760
0.3346971.8460710
0.3364461.8438210
0.3382041.8416240
0.3399711.8394790
0.3417481.8373820
0.3435341.8353340
0.3453291.8333310
0.3471331.8313730
0.3489471.8294570
0.351.8283696.413200e-06
0.350771.8275836.121412e-06
0.3526031.8257495.427089e-06
0.3544461.8239544.729138e-06
0.3562981.8221974.027540e-06
0.3581591.8204763.322276e-06
0.361.8188172.625000e-06
0.3600311.818792.620681e-06
0.3619121.8171382.357005e-06
0.3638031.815522.091952e-06
0.3657041.8139331.825514e-06
0.3676151.8123781.557683e-06
0.3695361.8108531.288454e-06
0.371.810491.223400e-06
0.3714671.8093581.148508e-06
0.3734081.8078911.049402e-06
0.3753591.8064529.497789e-07
0.377321.805048.496348e-07
0.3792921.8036547.489675e-07
0.381.8031647.128100e-07
0.3812741.8022946.816378e-07
0.3832661.8009586.328816e-07
0.3852691.7996475.838706e-07
0.3872821.798365.346035e-07
0.3893051.7970954.850790e-07
0.391.7966684.680800e-07
0.391341.7958534.441867e-07
0.3933841.7946324.077149e-07
0.395441.7934333.710525e-07
0.3975061.7922553.341986e-07
0.3995831.7910962.971520e-07
0.41.7908672.897200e-07
0.4016711.7899582.772025e-07
0.403771.7888392.614823e-07
0.405881.7877382.456799e-07
0.4080011.7866562.297950e-07
0.4101331.7855922.138270e-07
0.4122761.7845451.977757e-07
0.414431.7835161.816404e-07
0.4165951.7825031.654209e-07
0.4187721.7815061.491166e-07
0.421.7809531.399200e-07
0.420961.7805261.369416e-07
0.423161.7795611.301196e-07
0.4253711.7786111.232619e-07
0.4275941.7776761.163684e-07
0.4298281.7767561.094389e-07
0.4320741.775851.024732e-07
0.4343321.7749589.547110e-08
0.4366011.774088.843241e-08
0.4388821.7732158.135693e-08
0.441.7727987.789100e-08
0.4411761.7723647.590993e-08
0.4434811.7715257.202570e-08
0.4457981.7706996.812118e-08
0.4481281.7698856.419625e-08
0.4504691.7690836.025082e-08
0.4528231.7682935.628477e-08
0.4551891.7675155.229799e-08
0.4575681.7667484.829039e-08
0.4599591.7659924.426184e-08
0.461.7659794.419200e-08
0.4623621.7652484.214183e-08
0.4647781.7645144.004479e-08
0.4672061.763793.793679e-08
0.4696481.7630773.581777e-08
0.4721021.7623743.368768e-08
0.4745691.7616813.154646e-08
0.4770481.7609982.939405e-08
0.4795411.7603242.723039e-08
0.481.7602012.683200e-08
0.4820471.759662.571806e-08
0.4845661.7590042.434720e-08
0.4870981.7583582.296918e-08
0.4896431.7577212.158395e-08
0.4922011.7570932.019149e-08
0.4947731.7564731.879175e-08
0.4973581.7558621.738470e-08
0.4999571.7552591.597029e-08
0.51.7552491.594700e-08
0.502571.7546641.557776e-08
0.5051961.7540771.520042e-08
0.5078351.7534971.482110e-08
0.5104891.7529261.443980e-08
0.5131561.7523621.405650e-08
0.5158381.7518061.367121e-08
0.5185331.7512571.328390e-08
0.5212431.7507151.289457e-08
0.5239661.750181.250320e-08
0.5267041.7496521.210979e-08
0.5294561.7491311.171432e-08
0.5322231.7486171.131678e-08
0.5350041.7481091.091717e-08
0.5377991.7476081.051547e-08
0.5406091.7471141.011167e-08
0.5434341.7466259.705766e-09
0.5462741.7461439.297737e-09
0.5491281.7456678.887575e-09
0.551.7455238.762300e-09
0.5519981.7451978.603087e-09
0.5548821.7447338.373189e-09
0.5577811.7442748.142091e-09
0.5606961.7438217.909784e-09
0.5636261.7433747.676264e-09
0.5665711.7429337.441524e-09
0.5695311.7424977.205557e-09
0.5725071.7420666.968357e-09
0.5754981.7416416.729918e-09
0.5785061.741226.490233e-09
0.5815281.7408056.249295e-09
0.5845671.7403956.007099e-09
0.5876221.739995.763636e-09
0.5906921.739595.518902e-09
0.5937791.7391945.272889e-09
0.5968811.7388035.025591e-09
0.61.7384174.777000e-09
0.6031351.7380365.126756e-09
0.6062871.7376595.478341e-09
0.6094551.7372865.831762e-09
0.6126391.7369186.187029e-09
0.615841.7365546.544154e-09
0.6190581.7361956.903144e-09
0.6222931.735847.264010e-09
0.6255451.7354887.626762e-09
0.6288131.7351417.991409e-09
0.6320991.7347988.357961e-09
0.6354021.7344598.726429e-09
0.6387221.7341239.096822e-09
0.6420591.7337929.469151e-09
0.6454141.7334649.843425e-09
0.6487871.733141.021965e-08
0.651.7330251.035500e-08
0.6521771.732821.014681e-08
0.6555851.7325039.820908e-09
0.659011.732199.493298e-09
0.6624541.731889.163977e-09
0.6659151.7315748.832935e-09
0.6693951.7312718.500164e-09
0.6728921.7309728.165653e-09
0.6764091.7306767.829395e-09
0.6799431.7303837.491379e-09
0.6834961.7300937.151598e-09
0.6870671.7298066.810041e-09
0.6906571.7295236.466699e-09
0.6942661.7292436.121563e-09
0.6978941.7289655.774624e-09
0.71.7288065.573200e-09
0.7015411.7286915.585466e-09
0.7052061.728425.614652e-09
0.7088911.7281515.643991e-09
0.7125951.7278865.673483e-09
0.7163191.7276235.703129e-09
0.7200621.7273635.732931e-09
0.7238241.7271065.762888e-09
0.7276061.7268515.793001e-09
0.7314081.7265995.823272e-09
0.735231.726355.853701e-09
0.7390721.7261035.884289e-09
0.7429341.7258595.915037e-09
0.7468161.7256175.945945e-09
0.7507181.7253785.977015e-09
0.7546411.7251416.008248e-09
0.7585841.7249076.039643e-09
0.7625471.7246756.071203e-09
0.7665321.7244456.102928e-09
0.7705371.7242186.134818e-09
0.7745641.7239936.166875e-09
0.7786111.723776.199099e-09
0.7826791.7235496.231492e-09
0.7867691.7233316.264054e-09
0.790881.7231146.296786e-09
0.7950121.72296.329689e-09
0.7991671.7226886.362765e-09
0.81.7226466.369400e-09
0.8033421.7224786.396013e-09
0.807541.722276.429434e-09
0.811761.7220646.463031e-09
0.8160011.721866.496803e-09
0.8202651.7216576.530751e-09
0.8245511.7214576.564877e-09
0.828861.7212596.599181e-09
0.8331911.7210626.633664e-09
0.8375441.7208676.668328e-09
0.8419211.7206746.703172e-09
0.846321.7204836.738199e-09
0.8507421.7202946.773409e-09
0.8551871.7201066.808803e-09
0.8596561.719926.844381e-09
0.8641481.7197356.880146e-09
0.8686631.7195536.916097e-09
0.8732021.7193716.952236e-09
0.8777651.7191926.988565e-09
0.8823511.7190147.025083e-09
0.8869621.7188377.061791e-09
0.8915971.7186627.098692e-09
0.8962551.7184897.135785e-09
0.91.7183517.165600e-09
0.9009391.7183177.173072e-09
0.9056461.7181477.210549e-09
0.9103781.7179777.248222e-09
0.9151351.717817.286092e-09
0.9199171.7176437.324160e-09
0.9247241.7174787.362427e-09
0.9295561.7173157.400894e-09
0.9344131.7171527.439561e-09
0.9392951.7169917.478431e-09
0.9442041.7168327.517504e-09
0.9491371.7166737.556781e-09
0.9540971.7165167.596264e-09
0.9590821.716367.635952e-09
0.9640931.7162057.675848e-09
0.9691311.7160517.715953e-09
0.9741951.7158997.756267e-09
0.9792851.7157477.796791e-09
0.9844021.7155977.837528e-09
0.9895461.7154487.878477e-09
0.9947171.71537.919640e-09
0.9999141.7151527.961019e-09
11.715157.961700e-09
1.005141.7150068.002618e-09
1.010391.7148618.044435e-09
1.015671.7147178.086471e-09
1.020981.7145748.128726e-09
1.026311.7144328.171202e-09
1.031681.7142918.213901e-09
1.037071.7141518.256822e-09
1.042491.7140118.299967e-09
1.047931.7138738.343338e-09
1.053411.7137358.386935e-09
1.058911.7135998.430761e-09
1.064451.7134638.474815e-09
1.070011.7133288.519099e-09
1.07561.7131948.563615e-09
1.081221.713068.608364e-09
1.086871.7129288.653346e-09
1.092551.7127968.698564e-09
1.098261.7126658.744017e-09
1.1041.7125348.789708e-09
1.109761.7124048.835638e-09
1.115561.7122758.881808e-09
1.121391.7121478.928219e-09
1.127251.7120198.974873e-09
1.133141.7118929.021770e-09
1.139061.7117669.068913e-09
1.145011.711649.116301e-09
1.1511.7115159.163938e-09
1.157011.711399.211823e-09
1.163061.7112669.259959e-09
1.169131.7111439.308346e-09
1.175241.711029.356986e-09
1.181381.7108979.405880e-09
1.187561.7107759.455029e-09
1.193761.7106549.504436e-09
1.21.7105339.554100e-09
1.21.7105339.554100e-09
1.206271.7104131.030399e-08
1.212571.7102931.105780e-08
1.218911.7101731.181555e-08
1.225281.7100541.257726e-08
1.231681.7099351.334295e-08
1.238121.7098171.411264e-08
1.244591.7096991.488635e-08
1.251091.7095811.566410e-08
1.257631.7094641.644592e-08
1.26421.7093471.723182e-08
1.27081.709231.802183e-08
1.277441.7091141.881597e-08
1.284121.7089981.961426e-08
1.290831.7088822.041671e-08
1.297571.7087672.122336e-08
1.304351.7086512.203423e-08
1.311171.7085362.284933e-08
1.318021.7084222.366870e-08
1.324911.7083072.449234e-08
1.331831.7081932.532029e-08
1.338791.7080792.615256e-08
1.345781.7079652.698918e-08
1.352821.7078512.783018e-08
1.359891.7077372.867557e-08
1.366991.7076242.952537e-08
1.374131.707513.037962e-08
1.381311.7073973.123833e-08
1.388531.7072843.210152e-08
1.395791.7071713.296923e-08
1.41.7071053.347300e-08
1.403081.7070573.374350e-08
1.410411.7069443.438716e-08
1.417781.7068313.503419e-08
1.425191.7067183.568459e-08
1.432641.7066053.633840e-08
1.440121.7064923.699562e-08
1.447651.7063793.765628e-08
1.455211.7062663.832039e-08
1.462821.7061533.898796e-08
1.470461.706043.965903e-08
1.478141.7059274.033360e-08
1.485871.7058144.101170e-08
1.493631.70574.169334e-08
1.501441.7055874.237855e-08
1.509281.7054734.306733e-08
1.517171.705364.375971e-08
1.525091.7052464.445571e-08
1.533061.7051324.515535e-08
1.541071.7050174.585864e-08
1.549131.7049034.656561e-08
1.557221.7047884.727627e-08
1.565361.7046734.799064e-08
1.573541.7045584.870875e-08
1.581761.7044434.943061e-08
1.590021.7043275.015624e-08
1.598331.7042115.088567e-08
1.61.7041885.103200e-08
1.606681.7040955.607637e-08
1.615081.7039796.241139e-08
1.623521.7038626.877951e-08
1.6321.7037457.518090e-08
1.640531.7036278.161575e-08
1.64911.703518.808421e-08
1.657721.7033919.458648e-08
1.666381.7032731.011227e-07
1.675091.7031541.076931e-07
1.683841.7030341.142978e-07
1.692641.7029151.209371e-07
1.701481.7027941.276110e-07
1.710371.7026741.343198e-07
1.719311.7025521.410637e-07
1.72831.7024311.478428e-07
1.737331.7023091.546573e-07
1.74641.7021861.615074e-07
1.755531.7020631.683933e-07
1.76471.7019391.753152e-07
1.773921.7018141.822733e-07
1.783191.701691.892677e-07
1.792511.7015641.962987e-07
1.81.7014632.019500e-07
1.801881.7014382.035303e-07
1.811291.7013112.114570e-07
1.820761.7011842.194251e-07
1.830271.7010562.274348e-07
1.839831.7009272.354864e-07
1.849451.7007982.435801e-07
1.859111.7006672.517160e-07
1.868831.7005372.598945e-07
1.878591.7004052.681157e-07
1.888411.7002732.763799e-07
1.898271.700142.846872e-07
1.908191.7000062.930380e-07
1.918161.6998713.014323e-07
1.928191.6997363.098706e-07
1.938261.6995993.183529e-07
1.948391.6994623.268796e-07
1.958571.6993243.354508e-07
1.96881.6991853.440668e-07
1.979091.6990453.527278e-07
1.989431.6989053.614341e-07
1.999831.6987633.701859e-07
21.6987613.703300e-07
2.010281.698623.965014e-07
2.020781.6984774.232476e-07
2.031341.6983324.501337e-07
2.041961.6981864.771602e-07
2.052631.698045.043279e-07
2.063351.6978925.316376e-07
2.074131.6977435.590900e-07
2.084971.6975935.866858e-07
2.095861.6974426.144259e-07
2.106821.697296.423108e-07
2.117821.6971376.703415e-07
2.128891.6969836.985187e-07
2.140011.6968277.268431e-07
2.15121.696677.553154e-07
2.162441.6965127.839366e-07
2.173741.6963538.127073e-07
2.18511.6961938.416284e-07
2.196511.6960318.707005e-07
2.21.6959818.795800e-07
2.207991.6958688.965356e-07
2.219531.6957039.210189e-07
2.231121.6955389.456300e-07
2.242781.695379.703698e-07
2.25451.6952029.952389e-07
2.266281.6950321.020238e-06
2.278121.6948611.045367e-06
2.290031.6946881.070628e-06
2.301991.6945131.096021e-06
2.314021.6943371.121547e-06
2.326111.694161.147206e-06
2.338271.6939811.172999e-06
2.350491.6938011.198927e-06
2.362771.6936181.224990e-06
2.375111.6934351.251190e-06
2.387521.6932491.277526e-06
2.41.6930621.304000e-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
—