Optical constants

Refractive index of PBH25 (OHARA)

PBH25: 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 360-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.76179
Extinction coefficient k
1.76522e-08
Permittivity ε1
3.10391
Permittivity ε2
6.21991e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
27.108
Chromatic dispersion dn/dλ
-0.141084 µm⁻¹
Group index ng
1.84469
Group velocity dispersion
289.238 fs²/mm
Dispersion parameter D
-1577.95 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

# PBH25 (OHARA): PBH25
ohara_pbh25 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh25.range_nm)  # (300, 2400) nm
eps = ohara_pbh25.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=2.9830277−0.010435952⁢λ2.0+0.036346467⁢λ−2.0+0.0026194115⁢λ−4.0−0.00017513176⁢λ−6.0+2.1325099×10-5⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.9830277
C2-0.010435952
C32.0
C40.036346467
C5-2.0
C60.0026194115
C7-4.0
C8-0.00017513176
C9-6.0
C102.1325099e-05
C11-8.0

Comments and conditions

Leaded

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.331e-05 0.0 0.0 0.0 0.0 0.0
nd
1.761797
Vd
27.107724
glass code
762271
glass status
preferred
density
value: 4790
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
0.0085
resistance
acid: 3.2; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 7.90e-06 K⁻¹ at 633 nm, dn/dT = 7.65e-06 K⁻¹ at 1310 nm, dn/dT = 7.62e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 360-900 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 415 wavelengths, the same grid as the API and the library
PBH25 (OHARA), PBH25: n and k versus wavelength
λ (µm)nk
0.31.9478490
0.3015681.9435450
0.3031431.939360
0.3047271.9352890
0.306321.9313280
0.307921.9274740
0.3095291.9237230
0.3111471.9200720
0.3127721.9165160
0.3144071.9130540
0.3160491.9096810
0.3177011.9063960
0.3193611.9031940
0.321031.9000740
0.3227071.8970320
0.3243931.8940660
0.3260881.8911740
0.3277921.8883530
0.3295051.8856010
0.3312271.8829150
0.3329581.8802930
0.3346971.8777340
0.3364461.8752360
0.3382041.8727960
0.3399711.8704120
0.3417481.8680830
0.3435341.8658070
0.3453291.8635830
0.3471331.8614080
0.3489471.8592820
0.350771.8572020
0.3526031.8551680
0.3544461.8531780
0.3562981.8512310
0.3581591.8493250
0.361.8474891.319300e-05
0.3600311.8474591.316741e-05
0.3619121.8456321.160538e-05
0.3638031.8438431.003518e-05
0.3657041.842098.456775e-06
0.3676151.8403736.870124e-06
0.3695361.8386915.275183e-06
0.371.8382914.889800e-06
0.3714671.8370434.488974e-06
0.3734081.8354273.958557e-06
0.3753591.8338433.425368e-06
0.377321.8322892.889392e-06
0.3792921.8307662.350617e-06
0.381.8302282.157100e-06
0.3812741.8292722.017728e-06
0.3832661.8278061.799736e-06
0.3852691.8263681.580605e-06
0.3872821.8249561.360330e-06
0.3893051.8235711.138903e-06
0.391.8231031.062900e-06
0.391341.8222119.999664e-07
0.3933841.8208769.039018e-07
0.395441.8195658.073351e-07
0.3975061.8182787.102640e-07
0.3995831.8170136.126855e-07
0.41.8167635.931100e-07
0.4016711.8157715.638167e-07
0.403771.814555.270284e-07
0.405881.8133514.900480e-07
0.4080011.8121724.528742e-07
0.4101331.8110134.155063e-07
0.4122761.8098753.779431e-07
0.414431.8087553.401836e-07
0.4165951.8076543.022268e-07
0.4187721.8065712.640717e-07
0.421.8059712.425500e-07
0.420961.8055062.370679e-07
0.423161.8044592.245114e-07
0.4253711.8034282.118893e-07
0.4275941.8024151.992012e-07
0.4298281.8014171.864468e-07
0.4320741.8004351.736258e-07
0.4343321.7994691.607378e-07
0.4366011.7985181.477824e-07
0.4388821.7975821.347594e-07
0.441.7971311.283800e-07
0.4411761.7966611.254001e-07
0.4434811.7957531.195574e-07
0.4457981.794861.136842e-07
0.4481281.793981.077804e-07
0.4504691.7931131.018457e-07
0.4528231.792269.587993e-08
0.4551891.7914198.988303e-08
0.4575681.7905918.385479e-08
0.4599591.7897757.779506e-08
0.461.7897617.769000e-08
0.4623621.7889717.441777e-08
0.4647781.7881797.107071e-08
0.4672061.7873986.770616e-08
0.4696481.7866296.432403e-08
0.4721021.785876.092423e-08
0.4745691.7851235.750667e-08
0.4770481.7843865.407124e-08
0.4795411.783665.061787e-08
0.481.7835274.998200e-08
0.4820471.7829444.813758e-08
0.4845661.7822384.586776e-08
0.4870981.7815414.358607e-08
0.4896431.7808554.129247e-08
0.4922011.7801783.898688e-08
0.4947731.779513.666924e-08
0.4973581.7788523.433949e-08
0.4999571.7782023.199757e-08
0.51.7781923.195900e-08
0.502571.7775623.099237e-08
0.5051961.776933.000450e-08
0.5078351.7763062.901148e-08
0.5104891.7756912.801326e-08
0.5131561.7750852.700983e-08
0.5158381.7744862.600115e-08
0.5185331.7738952.498720e-08
0.5212431.7733122.396796e-08
0.5239661.7727372.294339e-08
0.5267041.7721692.191347e-08
0.5294561.7716092.087816e-08
0.5322231.7710561.983745e-08
0.5350041.770511.879129e-08
0.5377991.7699711.773968e-08
0.5406091.7694391.668256e-08
0.5434341.7689141.561992e-08
0.5462741.7683961.455173e-08
0.5491281.7678851.347796e-08
0.551.767731.315000e-08
0.5519981.7673791.338918e-08
0.5548821.7668811.373455e-08
0.5577811.7663881.408172e-08
0.5606961.7659021.443071e-08
0.5636261.7654221.478152e-08
0.5665711.7649481.513416e-08
0.5695311.7644791.548865e-08
0.5725071.7640171.584499e-08
0.5754981.763561.620319e-08
0.5785061.7631091.656326e-08
0.5815281.7626641.692521e-08
0.5845671.7622241.728906e-08
0.5876221.7617891.765480e-08
0.5906921.761361.802246e-08
0.5937791.7609351.839204e-08
0.5968811.7605161.876355e-08
0.61.7601021.913700e-08
0.6031351.7596931.956282e-08
0.6062871.7592891.999086e-08
0.6094551.758892.042113e-08
0.6126391.7584962.085366e-08
0.615841.7581062.128844e-08
0.6190581.7577212.172550e-08
0.6222931.757342.216484e-08
0.6255451.7569642.260648e-08
0.6288131.7565922.305042e-08
0.6320991.7562252.349668e-08
0.6354021.7558622.394528e-08
0.6387221.7555032.439622e-08
0.6420591.7551482.484951e-08
0.6454141.7547982.530518e-08
0.6487871.7544512.576322e-08
0.651.7543282.592800e-08
0.6521771.7541092.577118e-08
0.6555851.753772.552568e-08
0.659011.7534352.527890e-08
0.6624541.7531042.503083e-08
0.6659151.7527772.478147e-08
0.6693951.7524542.453080e-08
0.6728921.7521342.427882e-08
0.6764091.7518182.402553e-08
0.6799431.7515052.377091e-08
0.6834961.7511962.351496e-08
0.6870671.750892.325768e-08
0.6906571.7505882.299905e-08
0.6942661.7502892.273907e-08
0.6978941.7499932.247773e-08
0.71.7498232.232600e-08
0.7015411.74972.208019e-08
0.7052061.7494112.149526e-08
0.7088911.7491252.090728e-08
0.7125951.7488422.031623e-08
0.7163191.7485621.972209e-08
0.7200621.7482851.912485e-08
0.7238241.7480111.852448e-08
0.7276061.747741.792098e-08
0.7314081.7474721.731432e-08
0.735231.7472061.670449e-08
0.7390721.7469441.609148e-08
0.7429341.7466841.547527e-08
0.7468161.7464271.485583e-08
0.7507181.7461731.423316e-08
0.7546411.7459211.360723e-08
0.7585841.7456721.297803e-08
0.7625471.7454251.234555e-08
0.7665321.7451811.170976e-08
0.7705371.744941.107065e-08
0.7745641.7447011.042820e-08
0.7786111.7444649.782390e-09
0.7826791.744239.133207e-09
0.7867691.7439988.480633e-09
0.790881.7437687.824648e-09
0.7950121.7435417.165236e-09
0.7991671.7433166.502378e-09
0.81.7432716.369400e-09
0.8033421.7430936.396013e-09
0.807541.7428726.429434e-09
0.811761.7426546.463031e-09
0.8160011.7424376.496803e-09
0.8202651.7422236.530751e-09
0.8245511.7420116.564877e-09
0.828861.7418016.599181e-09
0.8331911.7415926.633664e-09
0.8375441.7413866.668328e-09
0.8419211.7411826.703172e-09
0.846321.7409796.738199e-09
0.8507421.7407786.773409e-09
0.8551871.740586.808803e-09
0.8596561.7403836.844381e-09
0.8641481.7401886.880146e-09
0.8686631.7399946.916097e-09
0.8732021.7398026.952236e-09
0.8777651.7396126.988565e-09
0.8823511.7394247.025083e-09
0.8869621.7392387.061791e-09
0.8915971.7390527.098692e-09
0.8962551.7388697.135785e-09
0.91.7387237.165600e-09
0.9009391.7386870
0.9056461.7385070
0.9103781.7383280
0.9151351.7381510
0.9199171.7379750
0.9247241.7378010
0.9295561.7376280
0.9344131.7374560
0.9392951.7372860
0.9442041.7371170
0.9491371.7369490
0.9540971.7367830
0.9590821.7366180
0.9640931.7364550
0.9691311.7362920
0.9741951.7361310
0.9792851.7359710
0.9844021.7358120
0.9895461.7356540
0.9947171.7354980
0.9999141.7353420
1.005141.7351880
1.010391.7350350
1.015671.7348820
1.020981.7347310
1.026311.7345810
1.031681.7344310
1.037071.7342830
1.042491.7341360
1.047931.7339890
1.053411.7338440
1.058911.7336990
1.064451.7335560
1.070011.7334130
1.07561.7332710
1.081221.7331290
1.086871.7329890
1.092551.7328490
1.098261.732710
1.1041.7325720
1.109761.7324350
1.115561.7322980
1.121391.7321620
1.127251.7320260
1.133141.7318920
1.139061.7317580
1.145011.7316240
1.1511.7314910
1.157011.7313590
1.163061.7312270
1.169131.7310960
1.175241.7309650
1.181381.7308350
1.187561.7307060
1.193761.7305770
1.21.7304480
1.206271.730320
1.212571.7301920
1.218911.7300650
1.225281.7299380
1.231681.7298110
1.238121.7296850
1.244591.7295590
1.251091.7294340
1.257631.7293090
1.26421.7291840
1.27081.7290590
1.277441.7289350
1.284121.7288110
1.290831.7286880
1.297571.7285640
1.304351.7284410
1.311171.7283180
1.318021.7281950
1.324911.7280720
1.331831.727950
1.338791.7278280
1.345781.7277050
1.352821.7275830
1.359891.7274610
1.366991.727340
1.374131.7272180
1.381311.7270960
1.388531.7269740
1.395791.7268530
1.403081.7267310
1.410411.7266090
1.417781.7264880
1.425191.7263660
1.432641.7262440
1.440121.7261230
1.447651.7260010
1.455211.7258790
1.462821.7257570
1.470461.7256350
1.478141.7255130
1.485871.725390
1.493631.7252680
1.501441.7251450
1.509281.7250220
1.517171.7248990
1.525091.7247760
1.533061.7246530
1.541071.7245290
1.549131.7244050
1.557221.7242810
1.565361.7241560
1.573541.7240310
1.581761.7239060
1.590021.7237810
1.598331.7236550
1.606681.7235290
1.615081.7234020
1.623521.7232750
1.6321.7231480
1.640531.723020
1.64911.7228920
1.657721.7227640
1.666381.7226350
1.675091.7225050
1.683841.7223750
1.692641.7222450
1.701481.7221140
1.710371.7219820
1.719311.721850
1.72831.7217170
1.737331.7215840
1.74641.721450
1.755531.7213160
1.76471.7211810
1.773921.7210450
1.783191.7209090
1.792511.7207720
1.801881.7206340
1.811291.7204960
1.820761.7203570
1.830271.7202170
1.839831.7200770
1.849451.7199350
1.859111.7197930
1.868831.719650
1.878591.7195070
1.888411.7193620
1.898271.7192170
1.908191.7190710
1.918161.7189240
1.928191.7187760
1.938261.7186270
1.948391.7184770
1.958571.7183260
1.96881.7181750
1.979091.7180220
1.989431.7178680
1.999831.7177140
2.010281.7175580
2.020781.7174010
2.031341.7172430
2.041961.7170850
2.052631.7169250
2.063351.7167640
2.074131.7166010
2.084971.7164380
2.095861.7162730
2.106821.7161080
2.117821.7159410
2.128891.7157730
2.140011.7156030
2.15121.7154320
2.162441.7152610
2.173741.7150870
2.18511.7149130
2.196511.7147370
2.207991.7145590
2.219531.7143810
2.231121.7142010
2.242781.7140190
2.25451.7138360
2.266281.7136520
2.278121.7134660
2.290031.7132790
2.301991.713090
2.314021.7128990
2.326111.7127070
2.338271.7125140
2.350491.7123190
2.362771.7121220
2.375111.7119230
2.387521.7117230
2.41.7115210

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
—