Optical constants

Refractive index of BAH26 (OHARA)

BAH26: 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 350-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.66755
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.78072
Permittivity ε2
7.45328e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
41.928
Chromatic dispersion dn/dλ
-0.0810528 µm⁻¹
Group index ng
1.71517
Group velocity dispersion
154.774 fs²/mm
Dispersion parameter D
-844.377 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

# BAH26 (OHARA): BAH26
ohara_bah26 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BAH26", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bah26.range_nm)  # (300, 2400) nm
eps = ohara_bah26.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=2.7137156−0.0093481462⁢λ2.0+0.022190744⁢λ−2.0+0.00074154999⁢λ−4.0−2.1872211×10-5⁢λ−6.0+3.821015×10-6⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.7137156
C2-0.0093481462
C32.0
C40.022190744
C5-2.0
C60.00074154999
C7-4.0
C8-2.1872211e-05
C9-6.0
C103.821015e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 4.645e-06 0.0 0.0 0.0 0.0 0.0
nd
1.667551
Vd
41.927521
glass code
668419
glass status
preferred
density
value: 3800
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
0.0011
resistance
acid: 51.2; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.47e-06 K⁻¹ at 633 nm, dn/dT = 2.41e-06 K⁻¹ at 1310 nm, dn/dT = 2.40e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 350-900 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 416 wavelengths, the same grid as the API and the library
BAH26 (OHARA), BAH26: n and k versus wavelength
λ (µm)nk
0.31.7547710
0.3015681.7530870
0.3031431.7514390
0.3047271.7498270
0.306321.7482490
0.307921.7467050
0.3095291.7451930
0.3111471.7437130
0.3127721.7422640
0.3144071.7408440
0.3160491.7394540
0.3177011.7380910
0.3193611.7367560
0.321031.7354470
0.3227071.7341640
0.3243931.7329060
0.3260881.7316730
0.3277921.7304630
0.3295051.7292770
0.3312271.7281130
0.3329581.7269710
0.3346971.725850
0.3364461.724750
0.3382041.723670
0.3399711.722610
0.3417481.7215690
0.3435341.7205460
0.3453291.7195420
0.3471331.7185560
0.3489471.7175860
0.351.7170349.766500e-06
0.350771.7166349.311480e-06
0.3526031.7156988.228738e-06
0.3544461.7147797.140338e-06
0.3562981.7138756.046251e-06
0.3581591.7129864.946447e-06
0.361.7121263.859100e-06
0.3600311.7121123.852632e-06
0.3619121.7112523.457796e-06
0.3638031.7104073.060897e-06
0.3657041.7095762.661924e-06
0.3676151.7087582.260867e-06
0.3695361.7079541.857713e-06
0.371.7077621.760300e-06
0.3714671.7071621.629703e-06
0.3734081.7063831.456882e-06
0.3753591.7056171.283158e-06
0.377321.7048631.108526e-06
0.3792921.704129.329817e-07
0.381.7038578.699300e-07
0.3812741.7033898.187448e-07
0.3832661.7026697.386864e-07
0.3852691.7019616.582097e-07
0.3872821.7012635.773125e-07
0.3893051.7005764.959926e-07
0.391.7003434.680800e-07
0.391341.6998994.400044e-07
0.3933841.6992323.971486e-07
0.395441.6985763.540689e-07
0.3975061.6979293.107640e-07
0.3995831.6972912.672329e-07
0.41.6971652.585000e-07
0.4016711.6966632.465599e-07
0.403771.6960452.315648e-07
0.405881.6954352.164914e-07
0.4080011.6948342.013392e-07
0.4101331.6942411.861078e-07
0.4122761.6936571.707969e-07
0.414431.6930811.554059e-07
0.4165951.6925141.399346e-07
0.4187721.6919541.243824e-07
0.421.6916431.156100e-07
0.420961.6914021.137989e-07
0.423161.6908581.096505e-07
0.4253711.6903221.054804e-07
0.4275941.6897931.012886e-07
0.4298281.6892719.707487e-08
0.4320741.6887569.283911e-08
0.4343321.6882488.858122e-08
0.4366011.6877478.430109e-08
0.4388821.6872537.999859e-08
0.441.6870147.789100e-08
0.4411761.6867667.656435e-08
0.4434811.6862857.396322e-08
0.4457981.685817.134850e-08
0.4481281.6853426.872012e-08
0.4504691.6848796.607801e-08
0.4528231.6844236.342209e-08
0.4551891.6839736.075229e-08
0.4575681.6835295.806854e-08
0.4599591.683095.537077e-08
0.461.6830835.532400e-08
0.4623621.6826585.378000e-08
0.4647781.682235.220069e-08
0.4672061.6818085.061313e-08
0.4696481.6813924.901728e-08
0.4721021.6809814.741308e-08
0.4745691.6805754.580051e-08
0.4770481.6801744.417951e-08
0.4795411.6797784.255003e-08
0.481.6797064.225000e-08
0.4820471.6793874.078658e-08
0.4845661.6790013.898564e-08
0.4870981.678623.717528e-08
0.4896431.6782443.535546e-08
0.4922011.6778723.352613e-08
0.4947731.6775053.168725e-08
0.4973581.6771422.983875e-08
0.4999571.6767842.798060e-08
0.51.6767782.795000e-08
0.502571.676432.741511e-08
0.5051961.676082.686847e-08
0.5078351.6757352.631898e-08
0.5104891.6753942.576662e-08
0.5131561.6750572.521136e-08
0.5158381.6747242.465321e-08
0.5185331.6743942.409214e-08
0.5212431.6740692.352814e-08
0.5239661.6737482.296119e-08
0.5267041.673432.239128e-08
0.5294561.6731162.181839e-08
0.5322231.6728062.124251e-08
0.5350041.67252.066362e-08
0.5377991.6721972.008171e-08
0.5406091.6718981.949675e-08
0.5434341.6716021.890874e-08
0.5462741.6713091.831765e-08
0.5491281.671021.772348e-08
0.551.6709331.754200e-08
0.5519981.6707341.779732e-08
0.5548821.6704521.816599e-08
0.5577811.6701721.853659e-08
0.5606961.6698961.890913e-08
0.5636261.6696231.928361e-08
0.5665711.6693531.966005e-08
0.5695311.6690862.003846e-08
0.5725071.6688222.041884e-08
0.5754981.6685612.080122e-08
0.5785061.6683032.118559e-08
0.5815281.6680482.157196e-08
0.5845671.6677962.196036e-08
0.5876221.6675462.235079e-08
0.5906921.6672992.274325e-08
0.5937791.6670552.313777e-08
0.5968811.6668142.353435e-08
0.61.6665752.393300e-08
0.6031351.6663392.438421e-08
0.6062871.6661052.483778e-08
0.6094551.6658742.529371e-08
0.6126391.6656452.575203e-08
0.615841.6654192.621275e-08
0.6190581.6651952.667587e-08
0.6222931.6649742.714141e-08
0.6255451.6647552.760939e-08
0.6288131.6645382.807981e-08
0.6320991.6643232.855268e-08
0.6354021.6641112.902803e-08
0.6387221.6639012.950587e-08
0.6420591.6636932.998619e-08
0.6454141.6634883.046903e-08
0.6487871.6632843.095440e-08
0.651.6632123.112900e-08
0.6521771.6630833.074574e-08
0.6555851.6628833.014577e-08
0.659011.6626862.954266e-08
0.6624541.662492.893640e-08
0.6659151.6622972.832697e-08
0.6693951.6621062.771436e-08
0.6728921.6619162.709855e-08
0.6764091.6617282.647952e-08
0.6799431.6615432.585725e-08
0.6834961.6613592.523173e-08
0.6870671.6611772.460295e-08
0.6906571.6609962.397088e-08
0.6942661.6608182.333550e-08
0.6978941.6606412.269681e-08
0.71.6605392.232600e-08
0.7015411.6604662.227672e-08
0.7052061.6602922.215945e-08
0.7088911.6601212.204157e-08
0.7125951.659952.192308e-08
0.7163191.6597822.180396e-08
0.7200621.6596152.168423e-08
0.7238241.659452.156387e-08
0.7276061.6592862.144288e-08
0.7314081.6591242.132125e-08
0.735231.6589632.119899e-08
0.7390721.6588032.107610e-08
0.7429341.6586462.095256e-08
0.7468161.6584892.082837e-08
0.7507181.6583342.070354e-08
0.7546411.6581812.057805e-08
0.7585841.6580282.045191e-08
0.7625471.6578782.032511e-08
0.7665321.6577282.019764e-08
0.7705371.657582.006951e-08
0.7745641.6574331.994071e-08
0.7786111.6572871.981124e-08
0.7826791.6571431.968109e-08
0.7867691.6569991.955026e-08
0.790881.6568571.941875e-08
0.7950121.6567171.928655e-08
0.7991671.6565771.915366e-08
0.81.6565491.912700e-08
0.8033421.6564391.920692e-08
0.807541.6563011.930728e-08
0.811761.6561651.940817e-08
0.8160011.656031.950959e-08
0.8202651.6558961.961154e-08
0.8245511.6557631.971402e-08
0.828861.6556311.981704e-08
0.8331911.65551.992059e-08
0.8375441.6553712.002468e-08
0.8419211.6552422.012932e-08
0.846321.6551142.023451e-08
0.8507421.6549872.034024e-08
0.8551871.6548612.044653e-08
0.8596561.6547362.055338e-08
0.8641481.6546122.066078e-08
0.8686631.6544892.076874e-08
0.8732021.6543672.087727e-08
0.8777651.6542452.098636e-08
0.8823511.6541252.109602e-08
0.8869621.6540052.120626e-08
0.8915971.6538862.131707e-08
0.8962551.6537682.142847e-08
0.91.6536742.151800e-08
0.9009391.6536510
0.9056461.6535340
0.9103781.6534180
0.9151351.6533030
0.9199171.6531890
0.9247241.6530760
0.9295561.6529630
0.9344131.6528510
0.9392951.6527390
0.9442041.6526280
0.9491371.6525180
0.9540971.6524090
0.9590821.65230
0.9640931.6521920
0.9691311.6520840
0.9741951.6519770
0.9792851.6518710
0.9844021.6517650
0.9895461.6516590
0.9947171.6515540
0.9999141.651450
1.005141.6513460
1.010391.6512430
1.015671.651140
1.020981.6510380
1.026311.6509360
1.031681.6508340
1.037071.6507330
1.042491.6506330
1.047931.6505330
1.053411.6504330
1.058911.6503330
1.064451.6502340
1.070011.6501360
1.07561.6500370
1.081221.649940
1.086871.6498420
1.092551.6497450
1.098261.6496480
1.1041.6495510
1.109761.6494540
1.115561.6493580
1.121391.6492620
1.127251.6491670
1.133141.6490710
1.139061.6489760
1.145011.6488810
1.1511.6487860
1.157011.6486920
1.163061.6485970
1.169131.6485030
1.175241.6484090
1.181381.6483150
1.187561.6482210
1.193761.6481270
1.21.6480340
1.206271.647940
1.212571.6478470
1.218911.6477540
1.225281.6476610
1.231681.6475670
1.238121.6474740
1.244591.6473810
1.251091.6472880
1.257631.6471950
1.26421.6471020
1.27081.6470090
1.277441.6469160
1.284121.6468230
1.290831.646730
1.297571.6466370
1.304351.6465440
1.311171.6464510
1.318021.6463570
1.324911.6462640
1.331831.646170
1.338791.6460770
1.345781.6459830
1.352821.6458890
1.359891.6457950
1.366991.6457010
1.374131.6456070
1.381311.6455120
1.388531.6454170
1.395791.6453230
1.403081.6452270
1.410411.6451320
1.417781.6450370
1.425191.6449410
1.432641.6448450
1.440121.6447490
1.447651.6446520
1.455211.6445550
1.462821.6444580
1.470461.6443610
1.478141.6442630
1.485871.6441650
1.493631.6440660
1.501441.6439680
1.509281.6438690
1.517171.6437690
1.525091.6436690
1.533061.6435690
1.541071.6434680
1.549131.6433670
1.557221.6432660
1.565361.6431640
1.573541.6430620
1.581761.6429590
1.590021.6428550
1.598331.6427520
1.606681.6426470
1.615081.6425430
1.623521.6424370
1.6321.6423310
1.640531.6422250
1.64911.6421180
1.657721.6420110
1.666381.6419030
1.675091.6417940
1.683841.6416850
1.692641.6415750
1.701481.6414640
1.710371.6413530
1.719311.6412410
1.72831.6411290
1.737331.6410160
1.74641.6409020
1.755531.6407870
1.76471.6406720
1.773921.6405560
1.783191.640440
1.792511.6403220
1.801881.6402040
1.811291.6400850
1.820761.6399650
1.830271.6398450
1.839831.6397230
1.849451.6396010
1.859111.6394780
1.868831.6393540
1.878591.6392290
1.888411.6391030
1.898271.6389770
1.908191.6388490
1.918161.6387210
1.928191.6385910
1.938261.6384610
1.948391.638330
1.958571.6381970
1.96881.6380640
1.979091.637930
1.989431.6377950
1.999831.6376580
2.010281.6375210
2.020781.6373820
2.031341.6372420
2.041961.6371020
2.052631.636960
2.063351.6368170
2.074131.6366730
2.084971.6365270
2.095861.6363810
2.106821.6362330
2.117821.6360840
2.128891.6359340
2.140011.6357830
2.15121.635630
2.162441.6354760
2.173741.6353210
2.18511.6351640
2.196511.6350060
2.207991.6348470
2.219531.6346860
2.231121.6345240
2.242781.6343610
2.25451.6341960
2.266281.6340290
2.278121.6338610
2.290031.6336920
2.301991.6335210
2.314021.6333490
2.326111.6331750
2.338271.6330
2.350491.6328230
2.362771.6326440
2.375111.6324640
2.387521.6322820
2.41.6320980

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
—