Optical constants

Refractive index of BAH32 (OHARA)

BAH32: 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 330-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.66998
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.78882
Permittivity ε2
2.76357e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
39.28
Chromatic dispersion dn/dλ
-0.0866972 µm⁻¹
Group index ng
1.72092
Group velocity dispersion
166.782 fs²/mm
Dispersion parameter D
-909.885 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

# BAH32 (OHARA): BAH32
ohara_bah32 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BAH32", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bah32.range_nm)  # (300, 2400) nm
eps = ohara_bah32.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=1.498643λ2λ2−0.009643255+0.2175678λ2λ2−0.04511666+1.559728λ2λ2−171.1121

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.498643
C30.009643255
C40.2175678
C50.04511666
C61.559728
C7171.1121

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 6.7962e-06 0.0 0.0 0.0 0.0 0.0
nd
1.669979
Vd
39.279752
glass code
670393
glass status
preferred
density
value: 4019
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
resistance
acid: 1.2; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.62e-06 K⁻¹ at 633 nm, dn/dT = 3.54e-06 K⁻¹ at 1310 nm, dn/dT = 3.52e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 330-2400 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
BAH32 (OHARA), BAH32: n and k versus wavelength
λ (µm)nk
0.31.7646340
0.3015681.7627650
0.3031431.760940
0.3047271.7591570
0.306321.7574160
0.307921.7557150
0.3095291.7540520
0.3111471.7524260
0.3127721.7508360
0.3144071.7492810
0.3160491.7477590
0.3177011.7462690
0.3193611.744810
0.321031.7433810
0.3227071.7419820
0.3243931.7406110
0.3260881.7392680
0.3277921.7379510
0.3295051.736660
0.331.7362938.452900e-06
0.3312271.7353947.804618e-06
0.3329581.7341526.890078e-06
0.3346971.7329345.970760e-06
0.3364461.7317395.046638e-06
0.3382041.7305674.117687e-06
0.3399711.7294163.183882e-06
0.341.7293983.168800e-06
0.3417481.7282862.839865e-06
0.3435341.7271772.503811e-06
0.3453291.7260872.166002e-06
0.3471331.7250181.826427e-06
0.3489471.7239671.485078e-06
0.351.7233681.286900e-06
0.350771.7229341.234274e-06
0.3526031.721921.109048e-06
0.3544461.7209239.831669e-07
0.3562981.7199438.566285e-07
0.3581591.718987.294288e-07
0.361.7180496.036700e-07
0.3600311.7180336.028671e-07
0.3619121.7171025.538512e-07
0.3638031.7161875.045792e-07
0.3657041.7152874.550498e-07
0.3676151.7144014.052615e-07
0.3695361.713533.552131e-07
0.371.7133223.431200e-07
0.3714671.7126733.235518e-07
0.3734081.711832.976568e-07
0.3753591.7112.716266e-07
0.377321.7101832.454604e-07
0.3792921.7093792.191575e-07
0.381.7090952.097100e-07
0.3812741.7085882.016141e-07
0.3832661.7078091.889514e-07
0.3852691.7070431.762225e-07
0.3872821.7062881.634271e-07
0.3893051.7055441.505649e-07
0.391.7052921.461500e-07
0.391341.7048121.404392e-07
0.3933841.7040911.317221e-07
0.395441.7033811.229594e-07
0.3975061.7026811.141509e-07
0.3995831.7019921.052963e-07
0.41.7018551.035200e-07
0.4016711.7013139.994265e-08
0.403771.7006439.545000e-08
0.405881.6999849.093388e-08
0.4080011.6993348.639416e-08
0.4101331.6986948.183073e-08
0.4122761.6980637.724344e-08
0.414431.6974417.263219e-08
0.4165951.6968286.799684e-08
0.4187721.6962236.333727e-08
0.421.6958876.070900e-08
0.420961.6956275.999393e-08
0.423161.695045.835610e-08
0.4253711.694465.670971e-08
0.4275941.6938895.505471e-08
0.4298281.6933265.339107e-08
0.4320741.692775.171873e-08
0.4343321.6922225.003765e-08
0.4366011.6916824.834779e-08
0.4388821.6911494.664911e-08
0.441.6908914.581700e-08
0.4411761.6906234.506905e-08
0.4434811.6901044.360257e-08
0.4457981.6895924.212842e-08
0.4481281.6890874.064657e-08
0.4504691.6885893.915698e-08
0.4528231.6880973.765960e-08
0.4551891.6876123.615440e-08
0.4575681.6871343.464134e-08
0.4599591.6866613.312037e-08
0.461.6866533.309400e-08
0.4623621.6861953.190039e-08
0.4647781.6857353.067949e-08
0.4672061.6852812.945221e-08
0.4696481.6848322.821852e-08
0.4721021.684392.697838e-08
0.4745691.6839532.573176e-08
0.4770481.6835222.447863e-08
0.4795411.6830962.321895e-08
0.481.6830182.298700e-08
0.4820471.6826752.226655e-08
0.4845661.682262.137993e-08
0.4870981.6818512.048867e-08
0.4896431.6814461.959276e-08
0.4922011.6810461.869217e-08
0.4947731.6806521.778688e-08
0.4973581.6802621.687685e-08
0.4999571.6798771.596206e-08
0.51.6798711.594700e-08
0.502571.6794971.535250e-08
0.5051961.6791211.474494e-08
0.5078351.678751.413420e-08
0.5104891.6783841.352027e-08
0.5131561.6780221.290314e-08
0.5158381.6776641.228278e-08
0.5185331.6773111.165917e-08
0.5212431.6769621.103231e-08
0.5239661.6766171.040218e-08
0.5267041.6762779.768749e-09
0.5294561.675949.132011e-09
0.5322231.6756078.491945e-09
0.5350041.6752797.848536e-09
0.5377991.6749547.201764e-09
0.5406091.6746336.551612e-09
0.5434341.6743165.898064e-09
0.5462741.6740025.241100e-09
0.5491281.6736934.580704e-09
0.551.6735994.379000e-09
0.5519981.6733864.585938e-09
0.5548821.6730844.884747e-09
0.5577811.6727845.185118e-09
0.5606961.6724895.487059e-09
0.5636261.6721965.790577e-09
0.5665711.6719076.095681e-09
0.5695311.6716226.402379e-09
0.5725071.6713396.710680e-09
0.5754981.671067.020592e-09
0.5785061.6707847.332123e-09
0.5815281.6705117.645282e-09
0.5845671.6702417.960077e-09
0.5876221.6699748.276518e-09
0.5906921.669718.594611e-09
0.5937791.6694498.914367e-09
0.5968811.669199.235794e-09
0.61.6689359.558900e-09
0.6031351.6686839.608818e-09
0.6062871.6684339.658996e-09
0.6094551.6681869.709437e-09
0.6126391.6679419.760141e-09
0.615841.66779.811111e-09
0.6190581.667469.862346e-09
0.6222931.6672249.913850e-09
0.6255451.666999.965622e-09
0.6288131.6667581.001766e-08
0.6320991.6665291.006998e-08
0.6354021.6663031.012257e-08
0.6387221.6660781.017543e-08
0.6420591.6658571.022857e-08
0.6454141.6656371.028199e-08
0.6487871.665421.033568e-08
0.651.6653421.035500e-08
0.6521771.6652051.038970e-08
0.6555851.6649921.044402e-08
0.659011.6647811.049862e-08
0.6624541.6645731.055351e-08
0.6659151.6643661.060869e-08
0.6693951.6641621.066415e-08
0.6728921.663961.071991e-08
0.6764091.663761.077595e-08
0.6799431.6635621.083229e-08
0.6834961.6633661.088892e-08
0.6870671.6631721.094585e-08
0.6906571.6629791.100308e-08
0.6942661.6627891.106060e-08
0.6978941.6626011.111843e-08
0.71.6624921.115200e-08
0.7015411.6624141.107832e-08
0.7052061.6622291.090301e-08
0.7088911.6620461.072677e-08
0.7125951.6618651.054962e-08
0.7163191.6616851.037154e-08
0.7200621.6615081.019253e-08
0.7238241.6613321.001259e-08
0.7276061.6611579.831702e-09
0.7314081.6609849.649872e-09
0.735231.6608139.467091e-09
0.7390721.6606449.283356e-09
0.7429341.6604769.098660e-09
0.7468161.6603098.912999e-09
0.7507181.6601448.726368e-09
0.7546411.6599818.538762e-09
0.7585841.6598198.350176e-09
0.7625471.6596588.160604e-09
0.7665321.6594997.970042e-09
0.7705371.6593427.778484e-09
0.7745641.6591857.585925e-09
0.7786111.6590317.392360e-09
0.7826791.6588777.197783e-09
0.7867691.6587257.002190e-09
0.790881.6585746.805575e-09
0.7950121.6584256.607932e-09
0.7991671.6582766.409257e-09
0.81.6582476.369400e-09
0.8033421.6581296.635747e-09
0.807541.6579836.970242e-09
0.811761.6578397.306484e-09
0.8160011.6576957.644483e-09
0.8202651.6575537.984248e-09
0.8245511.6574128.325789e-09
0.828861.6572728.669114e-09
0.8331911.6571339.014233e-09
0.8375441.6569969.361155e-09
0.8419211.6568599.709891e-09
0.846321.6567231.006045e-08
0.8507421.6565891.041284e-08
0.8551871.6564551.076707e-08
0.8596561.6563231.112315e-08
0.8641481.6561921.148109e-08
0.8686631.6560611.184090e-08
0.8732021.6559321.220260e-08
0.8777651.6558031.256618e-08
0.8823511.6556751.293166e-08
0.8869621.6555491.329905e-08
0.8915971.6554231.366836e-08
0.8962551.6552981.403961e-08
0.91.6551991.433800e-08
0.9009391.6551741.435295e-08
0.9056461.6550511.442794e-08
0.9103781.6549281.450333e-08
0.9151351.6548071.457911e-08
0.9199171.6546861.465528e-08
0.9247241.6545661.473185e-08
0.9295561.6544471.480882e-08
0.9344131.6543281.488620e-08
0.9392951.6542111.496398e-08
0.9442041.6540941.504216e-08
0.9491371.6539781.512076e-08
0.9540971.6538621.519976e-08
0.9590821.6537471.527918e-08
0.9640931.6536331.535901e-08
0.9691311.653521.543926e-08
0.9741951.6534071.551993e-08
0.9792851.6532951.560102e-08
0.9844021.6531831.568253e-08
0.9895461.6530721.576447e-08
0.9947171.6529621.584684e-08
0.9999141.6528521.592964e-08
11.652851.593100e-08
1.005141.6527431.625888e-08
1.010391.6526341.659396e-08
1.015671.6525261.693080e-08
1.020981.6524191.726939e-08
1.026311.6523111.760976e-08
1.031681.6522051.795190e-08
1.037071.6520991.829583e-08
1.042491.6519931.864156e-08
1.047931.6518881.898909e-08
1.053411.6517831.933844e-08
1.058911.6516791.968961e-08
1.064451.6515752.004262e-08
1.070011.6514722.039748e-08
1.07561.6513692.075419e-08
1.081221.6512662.111276e-08
1.086871.6511642.147320e-08
1.092551.6510622.183553e-08
1.098261.6509612.219976e-08
1.1041.6508592.256588e-08
1.109761.6507582.293392e-08
1.115561.6506582.330388e-08
1.121391.6505582.367578e-08
1.127251.6504582.404962e-08
1.133141.6503582.442541e-08
1.139061.6502592.480316e-08
1.145011.650162.518289e-08
1.1511.6500612.556461e-08
1.157011.6499622.594831e-08
1.163061.6498642.633403e-08
1.169131.6497652.672176e-08
1.175241.6496672.711151e-08
1.181381.6495692.750330e-08
1.187561.6494722.789714e-08
1.193761.6493742.829304e-08
1.21.6492772.869100e-08
1.21.6492772.869100e-08
1.206271.649183.024506e-08
1.212571.6490833.180724e-08
1.218911.6489863.337758e-08
1.225281.6488893.495613e-08
1.231681.6487923.654292e-08
1.238121.6486953.813801e-08
1.244591.6485993.974143e-08
1.251091.6485024.135323e-08
1.257631.6484064.297345e-08
1.26421.6483094.460214e-08
1.27081.6482134.623934e-08
1.277441.6481164.788509e-08
1.284121.648024.953944e-08
1.290831.6479245.120244e-08
1.297571.6478275.287413e-08
1.304351.6477315.455455e-08
1.311171.6476345.624375e-08
1.318021.6475385.794178e-08
1.324911.6474415.964868e-08
1.331831.6473446.136450e-08
1.338791.6472486.308928e-08
1.345781.6471516.482308e-08
1.352821.6470546.656594e-08
1.359891.6469576.831790e-08
1.366991.6468597.007902e-08
1.374131.6467627.184934e-08
1.381311.6466657.362891e-08
1.388531.6465677.541778e-08
1.395791.6464697.721600e-08
1.41.6464127.826000e-08
1.403081.6463717.803758e-08
1.410411.6462737.750833e-08
1.417781.6461747.697630e-08
1.425191.6460767.644150e-08
1.432641.6459777.590391e-08
1.440121.6458787.536350e-08
1.447651.6457787.482027e-08
1.455211.6456797.427421e-08
1.462821.6455797.372529e-08
1.470461.6454787.317350e-08
1.478141.6453787.261882e-08
1.485871.6452777.206125e-08
1.493631.6451767.150077e-08
1.501441.6450747.093736e-08
1.509281.6449727.037100e-08
1.517171.644876.980169e-08
1.525091.6447686.922940e-08
1.533061.6446656.865411e-08
1.541071.6445616.807583e-08
1.549131.6444576.749452e-08
1.557221.6443536.691017e-08
1.565361.6442486.632277e-08
1.573541.6441436.573231e-08
1.581761.6440386.513875e-08
1.590021.6439326.454210e-08
1.598331.6438256.394232e-08
1.61.6438046.382200e-08
1.606681.6437186.746889e-08
1.615081.6436117.204887e-08
1.623521.6435037.665278e-08
1.6321.6433948.128074e-08
1.640531.6432858.593289e-08
1.64911.6431759.060935e-08
1.657721.6430659.531024e-08
1.666381.6429541.000357e-07
1.675091.6428421.047858e-07
1.683841.642731.095608e-07
1.692641.6426181.143607e-07
1.701481.6425041.191857e-07
1.710371.642391.240359e-07
1.719311.6422761.289115e-07
1.72831.642161.338125e-07
1.737331.6420441.387392e-07
1.74641.6419271.436915e-07
1.755531.641811.486698e-07
1.76471.6416921.536741e-07
1.773921.6415731.587045e-07
1.783191.6414531.637612e-07
1.792511.6413321.688443e-07
1.81.6412351.729300e-07
1.801881.6412111.769108e-07
1.811291.6410891.968785e-07
1.820761.6409662.169505e-07
1.830271.6408422.371274e-07
1.839831.6407172.574097e-07
1.849451.6405922.777980e-07
1.859111.6404652.982928e-07
1.868831.6403383.188948e-07
1.878591.640213.396043e-07
1.888411.6400813.604221e-07
1.898271.6399513.813487e-07
1.908191.6398194.023846e-07
1.918161.6396874.235304e-07
1.928191.6395544.447867e-07
1.938261.639424.661541e-07
1.948391.6392854.876332e-07
1.958571.6391495.092244e-07
1.96881.6390125.309285e-07
1.979091.6388735.527460e-07
1.989431.6387345.746775e-07
1.999831.6385935.967236e-07
2.010281.6384526.188849e-07
2.020781.6383096.411620e-07
2.031341.6381656.635555e-07
2.041961.638026.860660e-07
2.052631.6378737.086941e-07
2.063351.6377267.314405e-07
2.074131.6375777.543057e-07
2.084971.6374277.772904e-07
2.095861.6372758.003952e-07
2.106821.6371238.236208e-07
2.117821.6369698.469676e-07
2.128891.6368138.704365e-07
2.140011.6366578.940280e-07
2.15121.6364999.177428e-07
2.162441.6363399.415815e-07
2.173741.6361789.655448e-07
2.18511.6360169.896332e-07
2.196511.6358521.013848e-06
2.207991.6356871.038188e-06
2.219531.635521.062656e-06
2.231121.6353521.087252e-06
2.242781.6351821.111977e-06
2.25451.635011.136830e-06
2.266281.6348371.161814e-06
2.278121.6346631.186928e-06
2.290031.6344861.212173e-06
2.301991.6343081.237550e-06
2.314021.6341291.263060e-06
2.326111.6339481.288703e-06
2.338271.6337641.314480e-06
2.350491.633581.340392e-06
2.362771.6333931.366439e-06
2.375111.6332051.392622e-06
2.387521.6330141.418942e-06
2.41.6328221.445400e-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
—