Optical constants

Refractive index of PBH3W (OHARA)

PBH3W: n,k 0.3–2.4 µm

Data
formula 3 + 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 340-900 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
9.36134e-09
Permittivity ε1
3.02757
Permittivity ε2
3.25773e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
28.287
Chromatic dispersion dn/dλ
-0.13155 µm⁻¹
Group index ng
1.81729
Group velocity dispersion
267.799 fs²/mm
Dispersion parameter D
-1460.99 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

# PBH3W (OHARA): PBH3W
ohara_pbh3w = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH3W", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh3w.range_nm)  # (300, 2400) nm
eps = ohara_pbh3w.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

Polynomial (formula 3), λ in µm
n2=2.9157717−0.0100817⁢λ2.0+0.03409894⁢λ−2.0+0.0021965014⁢λ−4.0−0.00012386955⁢λ−6.0+1.5766843×10-5⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.9157717
C2-0.0100817
C32.0
C40.03409894
C5-2.0
C60.0021965014
C7-4.0
C8-0.00012386955
C9-6.0
C101.5766843e-05
C11-8.0

Comments and conditions

Improved Transmittance

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.163e-05 0.0 0.0 0.0 0.0 0.0
nd
1.739998
Vd
28.287409
glass code
740283
glass status
preferred
density
value: 4660
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
0.006
resistance
acid: 3.2; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.74e-06 K⁻¹ at 633 nm, dn/dT = 6.53e-06 K⁻¹ at 1310 nm, dn/dT = 6.50e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 340-900 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 417 wavelengths, the same grid as the API and the library
PBH3W (OHARA), PBH3W: n and k versus wavelength
λ (µm)nk
0.31.9066490
0.3015681.9029440
0.3031431.8993350
0.3047271.8958210
0.306321.8923970
0.307921.8890610
0.3095291.885810
0.3111471.8826410
0.3127721.8795510
0.3144071.8765390
0.3160491.87360
0.3177011.8707330
0.3193611.8679370
0.321031.8652070
0.3227071.8625430
0.3243931.8599420
0.3260881.8574020
0.3277921.8549210
0.3295051.8524980
0.3312271.8501310
0.3329581.8478170
0.3346971.8455560
0.3364461.8433450
0.3382041.8411840
0.3399711.839070
0.341.8390361.246000e-05
0.3417481.8370021.109062e-05
0.3435341.8349799.691599e-06
0.3453291.8329998.285271e-06
0.3471331.8310626.871595e-06
0.3489471.8291655.450533e-06
0.351.8280874.625500e-06
0.350771.8273084.401140e-06
0.3526031.825493.867266e-06
0.3544461.8237093.330601e-06
0.3562981.8219642.791132e-06
0.3581591.8202552.248845e-06
0.361.8186071.712700e-06
0.3600311.818581.709912e-06
0.3619121.8169381.539723e-06
0.3638031.8153291.368645e-06
0.3657041.8137511.196673e-06
0.3676151.8122041.023803e-06
0.3695361.8106878.500287e-07
0.371.8103268.080400e-07
0.3714671.8091987.512875e-07
0.3734081.8077386.761863e-07
0.3753591.8063066.006926e-07
0.377321.8048995.248045e-07
0.3792921.8035194.485198e-07
0.381.8030324.211200e-07
0.3812741.8021654.004421e-07
0.3832661.8008353.681000e-07
0.3852691.7995283.355889e-07
0.3872821.7982463.029079e-07
0.3893051.7969862.700562e-07
0.391.796562.587800e-07
0.391341.7957482.459854e-07
0.3933841.7945322.264551e-07
0.395441.7933372.068227e-07
0.3975061.7921631.870878e-07
0.3995831.7910091.672498e-07
0.41.790781.632700e-07
0.4016711.7898741.561255e-07
0.403771.7887591.471530e-07
0.405881.7876621.381336e-07
0.4080011.7865841.290671e-07
0.4101331.7855231.199533e-07
0.4122761.784481.107918e-07
0.414431.7834541.015824e-07
0.4165951.7824449.232491e-08
0.4187721.7814518.301905e-08
0.421.78097.777000e-08
0.420961.7804737.623572e-08
0.423161.7795117.272150e-08
0.4253711.7785646.918892e-08
0.4275941.7776326.563788e-08
0.4298281.7767156.206828e-08
0.4320741.7758125.848004e-08
0.4343321.7749225.487304e-08
0.4366011.7740475.124720e-08
0.4388821.7731844.760241e-08
0.441.7727684.581700e-08
0.4411761.7723354.506905e-08
0.4434811.7714984.360257e-08
0.4457981.7706744.212842e-08
0.4481281.7698624.064657e-08
0.4504691.7690623.915698e-08
0.4528231.7682743.765960e-08
0.4551891.7674983.615440e-08
0.4575681.7667333.464134e-08
0.4599591.7659783.312037e-08
0.461.7659653.309400e-08
0.4623621.7652353.190039e-08
0.4647781.7645023.067949e-08
0.4672061.763782.945221e-08
0.4696481.7630682.821852e-08
0.4721021.7623662.697838e-08
0.4745691.7616742.573176e-08
0.4770481.7609922.447863e-08
0.4795411.7603192.321895e-08
0.481.7601972.298700e-08
0.4820471.7596562.226655e-08
0.4845661.7590022.137993e-08
0.4870981.7583562.048867e-08
0.4896431.757721.959276e-08
0.4922011.7570921.869217e-08
0.4947731.7564731.778688e-08
0.4973581.7558621.687685e-08
0.4999571.7552591.596206e-08
0.51.7552491.594700e-08
0.502571.7546641.557776e-08
0.5051961.7540781.520042e-08
0.5078351.7534991.482110e-08
0.5104891.7529281.443980e-08
0.5131561.7523641.405650e-08
0.5158381.7518081.367121e-08
0.5185331.7512591.328390e-08
0.5212431.7507171.289457e-08
0.5239661.7501821.250320e-08
0.5267041.7496551.210979e-08
0.5294561.7491341.171432e-08
0.5322231.7486191.131678e-08
0.5350041.7481121.091717e-08
0.5377991.7476111.051547e-08
0.5406091.7471161.011167e-08
0.5434341.7466279.705766e-09
0.5462741.7461459.297737e-09
0.5491281.7456698.887575e-09
0.551.7455258.762300e-09
0.5519981.7451998.794124e-09
0.5548821.7447348.840077e-09
0.5577811.7442768.886270e-09
0.5606961.7438238.932705e-09
0.5636261.7433768.979382e-09
0.5665711.7429349.026303e-09
0.5695311.7424989.073469e-09
0.5725071.7420679.120881e-09
0.5754981.7416419.168542e-09
0.5785061.7412219.216451e-09
0.5815281.7408059.264611e-09
0.5845671.7403959.313022e-09
0.5876221.739999.361687e-09
0.5906921.739599.410605e-09
0.5937791.7391949.459779e-09
0.5968811.7388039.509211e-09
0.61.7384179.558900e-09
0.6031351.7380359.608818e-09
0.6062871.7376589.658996e-09
0.6094551.7372869.709437e-09
0.6126391.7369189.760141e-09
0.615841.7365549.811111e-09
0.6190581.7361949.862346e-09
0.6222931.7358399.913850e-09
0.6255451.7354889.965622e-09
0.6288131.7351411.001766e-08
0.6320991.7347981.006998e-08
0.6354021.7344591.012257e-08
0.6387221.7341231.017543e-08
0.6420591.7337921.022857e-08
0.6454141.7334641.028199e-08
0.6487871.7331411.033568e-08
0.651.7330251.035500e-08
0.6521771.732821.038970e-08
0.6555851.7325041.044402e-08
0.659011.7321911.049862e-08
0.6624541.7318821.055351e-08
0.6659151.7315761.060869e-08
0.6693951.7312731.066415e-08
0.6728921.7309741.071991e-08
0.6764091.7306781.077595e-08
0.6799431.7303861.083229e-08
0.6834961.7300961.088892e-08
0.6870671.729811.094585e-08
0.6906571.7295271.100308e-08
0.6942661.7292471.106060e-08
0.6978941.728971.111843e-08
0.71.7288121.115200e-08
0.7015411.7286971.107832e-08
0.7052061.7284261.090301e-08
0.7088911.7281581.072677e-08
0.7125951.7278931.054962e-08
0.7163191.727631.037154e-08
0.7200621.7273711.019253e-08
0.7238241.7271141.001259e-08
0.7276061.726869.831702e-09
0.7314081.7266099.649872e-09
0.735231.726369.467091e-09
0.7390721.7261149.283356e-09
0.7429341.7258719.098660e-09
0.7468161.725638.912999e-09
0.7507181.7253918.726368e-09
0.7546411.7251558.538762e-09
0.7585841.7249218.350176e-09
0.7625471.724698.160604e-09
0.7665321.7244617.970042e-09
0.7705371.7242347.778484e-09
0.7745641.724017.585925e-09
0.7786111.7237887.392360e-09
0.7826791.7235687.197783e-09
0.7867691.723357.002190e-09
0.790881.7231346.805575e-09
0.7950121.7229216.607932e-09
0.7991671.7227096.409257e-09
0.81.7226676.369400e-09
0.8033421.72256.396013e-09
0.807541.7222936.429434e-09
0.811761.7220876.463031e-09
0.8160011.7218846.496803e-09
0.8202651.7216826.530751e-09
0.8245511.7214836.564877e-09
0.828861.7212856.599181e-09
0.8331911.7210896.633664e-09
0.8375441.7208956.668328e-09
0.8419211.7207036.703172e-09
0.846321.7205126.738199e-09
0.8507421.7203236.773409e-09
0.8551871.7201366.808803e-09
0.8596561.7199516.844381e-09
0.8641481.7197676.880146e-09
0.8686631.7195856.916097e-09
0.8732021.7194046.952236e-09
0.8777651.7192256.988565e-09
0.8823511.7190487.025083e-09
0.8869621.7188727.061791e-09
0.8915971.7186977.098692e-09
0.8962551.7185247.135785e-09
0.91.7183877.165600e-09
0.9009391.7183530
0.9056461.7181830
0.9103781.7180140
0.9151351.7178470
0.9199171.7176810
0.9247241.7175160
0.9295561.7173530
0.9344131.7171910
0.9392951.717030
0.9442041.7168710
0.9491371.7167130
0.9540971.7165550
0.9590821.71640
0.9640931.7162450
0.9691311.7160910
0.9741951.7159390
0.9792851.7157870
0.9844021.7156370
0.9895461.7154880
0.9947171.715340
0.9999141.7151930
1.005141.7150460
1.010391.7149010
1.015671.7147570
1.020981.7146140
1.026311.7144710
1.031681.714330
1.037071.7141890
1.042491.714050
1.047931.7139110
1.053411.7137730
1.058911.7136350
1.064451.7134990
1.070011.7133630
1.07561.7132290
1.081221.7130940
1.086871.7129610
1.092551.7128280
1.098261.7126960
1.1041.7125650
1.109761.7124340
1.115561.7123040
1.121391.7121750
1.127251.7120460
1.133141.7119180
1.139061.711790
1.145011.7116630
1.1511.7115370
1.157011.7114110
1.163061.7112850
1.169131.711160
1.175241.7110360
1.181381.7109120
1.187561.7107880
1.193761.7106650
1.21.7105420
1.206271.710420
1.212571.7102980
1.218911.7101770
1.225281.7100560
1.231681.7099350
1.238121.7098140
1.244591.7096940
1.251091.7095740
1.257631.7094550
1.26421.7093350
1.27081.7092160
1.277441.7090970
1.284121.7089790
1.290831.7088610
1.297571.7087420
1.304351.7086240
1.311171.7085070
1.318021.7083890
1.324911.7082710
1.331831.7081540
1.338791.7080370
1.345781.707920
1.352821.7078030
1.359891.7076860
1.366991.7075690
1.374131.7074520
1.381311.7073350
1.388531.7072180
1.395791.7071020
1.403081.7069850
1.410411.7068680
1.417781.7067510
1.425191.7066340
1.432641.7065170
1.440121.70640
1.447651.7062830
1.455211.7061660
1.462821.7060490
1.470461.7059310
1.478141.7058130
1.485871.7056960
1.493631.7055780
1.501441.705460
1.509281.7053410
1.517171.7052230
1.525091.7051040
1.533061.7049850
1.541071.7048660
1.549131.7047460
1.557221.7046260
1.565361.7045060
1.573541.7043860
1.581761.7042650
1.590021.7041440
1.598331.7040230
1.606681.7039010
1.615081.7037790
1.623521.7036560
1.6321.7035330
1.640531.703410
1.64911.7032860
1.657721.7031620
1.666381.7030370
1.675091.7029120
1.683841.7027860
1.692641.702660
1.701481.7025330
1.710371.7024060
1.719311.7022780
1.72831.702150
1.737331.7020210
1.74641.7018920
1.755531.7017620
1.76471.7016310
1.773921.70150
1.783191.7013670
1.792511.7012350
1.801881.7011010
1.811291.7009670
1.820761.7008330
1.830271.7006970
1.839831.7005610
1.849451.7004240
1.859111.7002860
1.868831.7001480
1.878591.7000080
1.888411.6998680
1.898271.6997270
1.908191.6995850
1.918161.6994430
1.928191.6992990
1.938261.6991540
1.948391.6990090
1.958571.6988630
1.96881.6987150
1.979091.6985670
1.989431.6984180
1.999831.6982680
2.010281.6981170
2.020781.6979640
2.031341.6978110
2.041961.6976570
2.052631.6975010
2.063351.6973450
2.074131.6971870
2.084971.6970280
2.095861.6968680
2.106821.6967070
2.117821.6965450
2.128891.6963810
2.140011.6962160
2.15121.696050
2.162441.6958830
2.173741.6957150
2.18511.6955450
2.196511.6953740
2.207991.6952010
2.219531.6950270
2.231121.6948520
2.242781.6946750
2.25451.6944970
2.266281.6943180
2.278121.6941370
2.290031.6939550
2.301991.6937710
2.314021.6935850
2.326111.6933980
2.338271.693210
2.350491.693020
2.362771.6928280
2.375111.6926350
2.387521.692440
2.41.6922430

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
—