Lightsmith Materials Get Lightsmith

Optical constants

Refractive index of BAL5 (OHARA)

BAL5: 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 310-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.54739
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.39442
Permittivity ε2
5.46298e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
53.551
Chromatic dispersion dn/dλ
-0.0525411 µm⁻¹
Group index ng
1.57826
Group velocity dispersion
94.5962 fs²/mm
Dispersion parameter D
-516.072 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

# BAL5 (OHARA): BAL5
ohara_bal5 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BAL5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bal5.range_nm)  # (300, 2400) nm
eps = ohara_bal5.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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=2.3550985−0.0086952235⁢λ2.0+0.013797477⁢λ−2.0+0.00027607581⁢λ−4.0+9.6025624×10-8⁢λ−6.0+6.0765812×10-7⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.3550985
C2-0.0086952235
C32.0
C40.013797477
C5-2.0
C60.00027607581
C7-4.0
C89.6025624e-08
C9-6.0
C106.0765812e-07
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.103e-06 0.0 0.0 0.0 0.0 0.0
nd
1.547393
Vd
53.550738
glass code
547536
glass status
preferred
density
value: 2820
thermal expansion
value: 9.2e-06, temperature range: 243 343; value: 1.06e-05, temperature range: 293 573
dPgF
-0.0006
resistance
acid: 2.2; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -4.95e-07 K⁻¹ at 633 nm, dn/dT = -4.85e-07 K⁻¹ at 1310 nm, dn/dT = -4.83e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 310-900 nm only; k = 0 elsewhere in the n range 300-2400 nm

References

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp)
See also OHARA glass data sheets

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 420 wavelengths, the same grid as the API and the library
CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata
BAL5 (OHARA), BAL5: n and k versus wavelength
λ (µm)nk
0.31.5972160
0.3015681.5963760
0.3031431.5955490
0.3047271.5947370
0.306321.5939380
0.307921.5931530
0.3095291.592380
0.311.5921577.940600e-06
0.3111471.591627.372136e-06
0.3127721.5908726.566025e-06
0.3144071.5901365.755701e-06
0.3160491.5894124.941144e-06
0.3177011.58874.122330e-06
0.3193611.5879983.299238e-06
0.321.5877322.982400e-06
0.321031.5873082.804557e-06
0.3227071.5866292.514844e-06
0.3243931.585962.223616e-06
0.3260881.5853011.930867e-06
0.3277921.5846531.636589e-06
0.3295051.5840141.340772e-06
0.331.5838321.255300e-06
0.3312271.5833861.175363e-06
0.3329581.5827661.062595e-06
0.3346971.5821569.492378e-07
0.3364461.5815558.352882e-07
0.3382041.5809647.207432e-07
0.3399711.580386.055997e-07
0.341.5803716.037400e-07
0.3417481.5798065.549442e-07
0.3435341.579245.050924e-07
0.3453291.5786824.549802e-07
0.3471331.5781324.046061e-07
0.3489471.577593.539687e-07
0.351.5772813.245700e-07
0.350771.5770563.118192e-07
0.3526031.576532.814781e-07
0.3544461.5760112.509784e-07
0.3562981.5754992.203194e-07
0.3581591.5749951.895001e-07
0.361.5745061.590300e-07
0.3600311.5744981.588350e-07
0.3619121.5740071.469324e-07
0.3638031.5735241.349675e-07
0.3657041.5730471.229402e-07
0.3676151.5725771.108500e-07
0.3695361.5721139.869660e-08
0.371.5720029.576000e-08
0.3714671.5716569.339893e-08
0.3734081.5712049.027450e-08
0.3753591.5707598.713374e-08
0.377321.570328.397658e-08
0.3792921.5698878.080291e-08
0.381.5697337.966300e-08
0.3812741.569467.549049e-08
0.3832661.5690386.896429e-08
0.3852691.5686226.240399e-08
0.3872821.5682115.580941e-08
0.3893051.5678064.918038e-08
0.391.5676694.690500e-08
0.391341.5674064.404654e-08
0.3933841.5670123.968325e-08
0.395441.5666223.529717e-08
0.3975061.5662383.088817e-08
0.3995831.5658582.645613e-08
0.41.5657832.556700e-08
0.4016711.5654842.539244e-08
0.403771.5651142.517322e-08
0.405881.5647492.495285e-08
0.4080011.5643892.473133e-08
0.4101331.5640332.450865e-08
0.4122761.5636812.428481e-08
0.414431.5633352.405980e-08
0.4165951.5629922.383362e-08
0.4187721.5626542.360625e-08
0.421.5624662.347800e-08
0.420961.562322.370109e-08
0.423161.561992.421206e-08
0.4253711.5616642.472570e-08
0.4275941.5613422.524202e-08
0.4298281.5610252.576105e-08
0.4320741.5607112.628278e-08
0.4343321.5604012.680724e-08
0.4366011.5600942.733444e-08
0.4388821.5597922.786440e-08
0.441.5596462.812400e-08
0.4411761.5594932.754935e-08
0.4434811.5591982.642266e-08
0.4457981.5589062.529009e-08
0.4481281.5586182.415159e-08
0.4504691.5583332.300715e-08
0.4528231.5580522.185672e-08
0.4551891.5577742.070029e-08
0.4575681.5574991.953781e-08
0.4599591.5572281.836926e-08
0.461.5572231.834900e-08
0.4623621.5569591.799010e-08
0.4647781.5566941.762300e-08
0.4672061.5564321.725398e-08
0.4696481.5561731.688303e-08
0.4721021.5559171.651014e-08
0.4745691.5556641.613530e-08
0.4770481.5554141.575851e-08
0.4795411.5551671.537974e-08
0.481.5551221.531000e-08
0.4820471.5549231.496666e-08
0.4845661.5546811.454413e-08
0.4870981.5544421.411939e-08
0.4896431.5542061.369243e-08
0.4922011.5539731.326325e-08
0.4947731.5537421.283182e-08
0.4973581.5535141.239813e-08
0.4999571.5532881.196218e-08
0.51.5532851.195500e-08
0.502571.5530651.201641e-08
0.5051961.5528451.207918e-08
0.5078351.5526271.214227e-08
0.5104891.5524111.220569e-08
0.5131561.5521981.226944e-08
0.5158381.5519871.233352e-08
0.5185331.5517781.239794e-08
0.5212431.5515721.246270e-08
0.5239661.5513681.252779e-08
0.5267041.5511661.259323e-08
0.5294561.5509661.265900e-08
0.5322231.5507691.272512e-08
0.5350041.5505741.279159e-08
0.5377991.550381.285840e-08
0.5406091.5501891.292556e-08
0.5434341.551.299308e-08
0.5462741.5498131.306094e-08
0.5491281.5496281.312916e-08
0.551.5495721.315000e-08
0.5519981.5494451.338918e-08
0.5548821.5492631.373455e-08
0.5577811.5490841.408172e-08
0.5606961.5489071.443071e-08
0.5636261.5487311.478152e-08
0.5665711.5485571.513416e-08
0.5695311.5483851.548865e-08
0.5725071.5482151.584499e-08
0.5754981.5480461.620319e-08
0.5785061.547881.656326e-08
0.5815281.5477151.692521e-08
0.5845671.5475511.728906e-08
0.5876221.547391.765480e-08
0.5906921.547231.802246e-08
0.5937791.5470711.839204e-08
0.5968811.5469141.876355e-08
0.61.5467591.913700e-08
0.6031351.5466051.956282e-08
0.6062871.5464531.999086e-08
0.6094551.5463022.042113e-08
0.6126391.5461532.085366e-08
0.615841.5460052.128844e-08
0.6190581.5458592.172550e-08
0.6222931.5457142.216484e-08
0.6255451.545572.260648e-08
0.6288131.5454282.305042e-08
0.6320991.5452872.349668e-08
0.6354021.5451472.394528e-08
0.6387221.5450092.439622e-08
0.6420591.5448722.484951e-08
0.6454141.5447372.530518e-08
0.6487871.5446022.576322e-08
0.651.5445542.592800e-08
0.6521771.5444692.601481e-08
0.6555851.5443372.615072e-08
0.659011.5442072.628733e-08
0.6624541.5440772.642465e-08
0.6659151.5439492.656270e-08
0.6693951.5438222.670146e-08
0.6728921.5436962.684095e-08
0.6764091.5435712.698117e-08
0.6799431.5434472.712212e-08
0.6834961.5433242.726381e-08
0.6870671.5432032.740624e-08
0.6906571.5430822.754941e-08
0.6942661.5429622.769333e-08
0.6978941.5428442.783801e-08
0.71.5427762.792200e-08
0.7015411.5427262.798345e-08
0.7052061.542612.812968e-08
0.7088911.5424942.827667e-08
0.7125951.542382.842442e-08
0.7163191.5422662.857295e-08
0.7200621.5421532.872226e-08
0.7238241.5420422.887234e-08
0.7276061.5419312.902321e-08
0.7314081.5418212.917487e-08
0.735231.5417122.932732e-08
0.7390721.5416032.948057e-08
0.7429341.5414962.963462e-08
0.7468161.541392.978947e-08
0.7507181.5412842.994513e-08
0.7546411.5411793.010161e-08
0.7585841.5410753.025890e-08
0.7625471.5409713.041702e-08
0.7665321.5408693.057596e-08
0.7705371.5407673.073573e-08
0.7745641.5406663.089634e-08
0.7786111.5405663.105778e-08
0.7826791.5404663.122007e-08
0.7867691.5403673.138321e-08
0.790881.5402693.154720e-08
0.7950121.5401713.171205e-08
0.7991671.5400753.187776e-08
0.81.5400553.191100e-08
0.8033421.5399783.252598e-08
0.807541.5398833.329831e-08
0.811761.5397883.407467e-08
0.8160011.5396943.485509e-08
0.8202651.53963.563958e-08
0.8245511.5395073.642818e-08
0.828861.5394143.722090e-08
0.8331911.5393223.801775e-08
0.8375441.5392313.881878e-08
0.8419211.539143.962398e-08
0.846321.539054.043340e-08
0.8507421.538964.124704e-08
0.8551871.5388714.206494e-08
0.8596561.5387824.288711e-08
0.8641481.5386944.371358e-08
0.8686631.5386064.454436e-08
0.8732021.5385194.537949e-08
0.8777651.5384324.621898e-08
0.8823511.5383464.706285e-08
0.8869621.538264.791114e-08
0.8915971.5381754.876385e-08
0.8962551.538094.962103e-08
0.91.5380225.031000e-08
0.9009391.5380050
0.9056461.5379210
0.9103781.5378370
0.9151351.5377540
0.9199171.5376710
0.9247241.5375880
0.9295561.5375060
0.9344131.5374240
0.9392951.5373420
0.9442041.5372610
0.9491371.537180
0.9540971.5370990
0.9590821.5370190
0.9640931.5369390
0.9691311.5368590
0.9741951.536780
0.9792851.53670
0.9844021.5366210
0.9895461.5365430
0.9947171.5364640
0.9999141.5363860
1.005141.5363080
1.010391.536230
1.015671.5361520
1.020981.5360750
1.026311.5359970
1.031681.535920
1.037071.5358430
1.042491.5357670
1.047931.535690
1.053411.5356130
1.058911.5355370
1.064451.5354610
1.070011.5353840
1.07561.5353080
1.081221.5352320
1.086871.5351560
1.092551.5350810
1.098261.5350050
1.1041.5349290
1.109761.5348530
1.115561.5347780
1.121391.5347020
1.127251.5346270
1.133141.5345510
1.139061.5344760
1.145011.53440
1.1511.5343240
1.157011.5342490
1.163061.5341730
1.169131.5340980
1.175241.5340220
1.181381.5339460
1.187561.533870
1.193761.5337940
1.21.5337180
1.206271.5336420
1.212571.5335660
1.218911.533490
1.225281.5334140
1.231681.5333370
1.238121.533260
1.244591.5331840
1.251091.5331070
1.257631.533030
1.26421.5329520
1.27081.5328750
1.277441.5327970
1.284121.532720
1.290831.5326420
1.297571.5325630
1.304351.5324850
1.311171.5324060
1.318021.5323270
1.324911.5322480
1.331831.5321690
1.338791.5320890
1.345781.5320090
1.352821.5319290
1.359891.5318490
1.366991.5317680
1.374131.5316870
1.381311.5316050
1.388531.5315240
1.395791.5314420
1.403081.5313590
1.410411.5312760
1.417781.5311930
1.425191.531110
1.432641.5310260
1.440121.5309420
1.447651.5308570
1.455211.5307720
1.462821.5306860
1.470461.53060
1.478141.5305140
1.485871.5304270
1.493631.530340
1.501441.5302520
1.509281.5301640
1.517171.5300750
1.525091.5299860
1.533061.5298960
1.541071.5298060
1.549131.5297150
1.557221.5296240
1.565361.5295320
1.573541.529440
1.581761.5293470
1.590021.5292530
1.598331.5291590
1.606681.5290650
1.615081.5289690
1.623521.5288730
1.6321.5287770
1.640531.528680
1.64911.5285820
1.657721.5284830
1.666381.5283840
1.675091.5282840
1.683841.5281840
1.692641.5280820
1.701481.527980
1.710371.5278780
1.719311.5277740
1.72831.527670
1.737331.5275650
1.74641.5274590
1.755531.5273530
1.76471.5272460
1.773921.5271370
1.783191.5270290
1.792511.5269190
1.801881.5268080
1.811291.5266970
1.820761.5265840
1.830271.5264710
1.839831.5263570
1.849451.5262420
1.859111.5261260
1.868831.5260090
1.878591.5258910
1.888411.5257720
1.898271.5256530
1.908191.5255320
1.918161.525410
1.928191.5252870
1.938261.5251640
1.948391.5250390
1.958571.5249130
1.96881.5247860
1.979091.5246580
1.989431.5245290
1.999831.5243980
2.010281.5242670
2.020781.5241350
2.031341.5240010
2.041961.5238660
2.052631.523730
2.063351.5235930
2.074131.5234540
2.084971.5233150
2.095861.5231740
2.106821.5230320
2.117821.5228880
2.128891.5227440
2.140011.5225980
2.15121.522450
2.162441.5223010
2.173741.5221510
2.18511.5220
2.196511.5218470
2.207991.5216930
2.219531.5215370
2.231121.521380
2.242781.5212210
2.25451.5210610
2.266281.52090
2.278121.5207370
2.290031.5205720
2.301991.5204060
2.314021.5202380
2.326111.5200690
2.338271.5198980
2.350491.5197260
2.362771.5195510
2.375111.5193750
2.387521.5191980
2.41.5190190

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
—