Optical constants

Refractive index of L-BBH2 (OHARA)

L-BBH2: 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 420-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
2.10299
Extinction coefficient k
6.26283e-08
Permittivity ε1
4.42256
Permittivity ε2
2.63413e-07
Absorption coefficient α
0.0133936 cm⁻¹
Penetration depth δ = λ/(2πk)
1.49325e+09 nm
Abbe number Vd
18.051
Chromatic dispersion dn/dλ
-0.300614 µm⁻¹
Group index ng
2.27963
Group velocity dispersion
664.266 fs²/mm
Dispersion parameter D
-3623.92 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

# L-BBH2 (OHARA): L-BBH2
ohara_l_bbh2 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-BBH2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_bbh2.range_nm)  # (300, 2400) nm
eps = ohara_l_bbh2.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=2.53279005λ2λ2−0.0186909889+0.583375125λ2λ2−0.0765409078+1.5299288λ2λ2−112.197368

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C22.53279005
C30.0186909889
C40.583375125
C50.0765409078
C61.5299288
C7112.197368

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.61e-05 2.23e-08 -5.18e-11 3.36e-06 3.2e-09 0.311
nd
2.102999
Vd
18.051064
glass status
preferred
density
value: 6740
thermal expansion
value: 8.4e-06, temperature range: 243 343
dPgF
0.0439
resistance
acid: 52.1; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.19e-05 K⁻¹ at 633 nm, dn/dT = 1.40e-05 K⁻¹ at 1310 nm, dn/dT = 1.35e-05 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 420-2400 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 417 wavelengths, the same grid as the API and the library
L-BBH2 (OHARA), L-BBH2: n and k versus wavelength
λ (µm)nk
0.32.8454220
0.3015682.8054450
0.3031432.7694010
0.3047272.736710
0.306322.7069030
0.307922.6795970
0.3095292.6544730
0.3111472.6312660
0.3127722.6097520
0.3144072.5897430
0.3160492.5710750
0.3177012.5536120
0.3193612.5372320
0.321032.5218310
0.3227072.5073190
0.3243932.4936150
0.3260882.4806490
0.3277922.4683590
0.3295052.456690
0.3312272.4455920
0.3329582.4350210
0.3346972.4249390
0.3364462.4153080
0.3382042.4060980
0.3399712.397280
0.3417482.3888260
0.3435342.3807130
0.3453292.372920
0.3471332.3654260
0.3489472.3582130
0.350772.3512640
0.3526032.3445650
0.3544462.33810
0.3562982.3318570
0.3581592.3258240
0.3600312.319990
0.3619122.3143430
0.3638032.3088760
0.3657042.3035780
0.3676152.2984410
0.3695362.2934580
0.3714672.2886220
0.3734082.2839250
0.3753592.2793610
0.377322.2749250
0.3792922.2706110
0.3812742.2664130
0.3832662.2623260
0.3852692.2583470
0.3872822.254470
0.3893052.2506920
0.391342.2470080
0.3933842.2434150
0.395442.239910
0.3975062.2364880
0.3995832.2331480
0.4016712.2298860
0.403772.22670
0.405882.2235850
0.4080012.2205420
0.4101332.2175650
0.4122762.2146540
0.414432.2118070
0.4165952.209020
0.4187722.2062930
0.422.2047863.705400e-06
0.420962.2036233.556792e-06
0.423162.2010083.216410e-06
0.4253712.1984482.874249e-06
0.4275942.1959392.530301e-06
0.4298282.1934812.184555e-06
0.4320742.1910711.837003e-06
0.4343322.188711.487634e-06
0.4366012.1863941.136441e-06
0.4388822.1841247.834117e-07
0.442.1830326.104800e-07
0.4411762.1818965.858564e-07
0.4434812.1797125.375776e-07
0.4457982.1775684.890465e-07
0.4481282.1754644.402618e-07
0.4504692.17343.912222e-07
0.4528232.1713733.419264e-07
0.4551892.1693832.923730e-07
0.4575682.1674282.425607e-07
0.4599592.1655091.924881e-07
0.462.1654761.916200e-07
0.4623622.1636241.808743e-07
0.4647782.1617721.698830e-07
0.4672062.1599531.588342e-07
0.4696482.1581651.477276e-07
0.4721022.1564071.365631e-07
0.4745692.154681.253402e-07
0.4770482.1529821.140586e-07
0.4795412.1513131.027181e-07
0.482.1510091.006300e-07
0.4820472.1496719.731347e-08
0.4845662.1480579.323199e-08
0.4870982.1464698.912919e-08
0.4896432.1449088.500495e-08
0.4922012.1433728.085915e-08
0.4947732.141867.669170e-08
0.4973582.1403737.250247e-08
0.4999572.138916.829135e-08
0.52.1388866.822200e-08
0.502572.1374696.720387e-08
0.5051962.1360526.616338e-08
0.5078352.1346576.511745e-08
0.5104892.1332836.406606e-08
0.5131562.1319316.300917e-08
0.5158382.1305996.194676e-08
0.5185332.1292886.087880e-08
0.5212432.1279975.980526e-08
0.5239662.1267255.872611e-08
0.5267042.1254735.764132e-08
0.5294562.1242395.655086e-08
0.5322232.1230235.545470e-08
0.5350042.1218265.435282e-08
0.5377992.1206465.324518e-08
0.5406092.1194845.213175e-08
0.5434342.1183385.101250e-08
0.5462742.1172094.988741e-08
0.5491282.1160964.875643e-08
0.552.1157614.841100e-08
0.5519982.1154.916630e-08
0.5548822.1139195.025692e-08
0.5577812.1128535.135323e-08
0.5606962.1118025.245528e-08
0.5636262.1107675.356308e-08
0.5665712.1097455.467667e-08
0.5695312.1087385.579609e-08
0.5725072.1077455.692135e-08
0.5754982.1067665.805249e-08
0.5785062.10585.918954e-08
0.5815282.1048486.033253e-08
0.5845672.1039086.148149e-08
0.5876222.1029816.263646e-08
0.5906922.1020676.379746e-08
0.5937792.1011656.496453e-08
0.5968812.1002756.613770e-08
0.62.0993976.731700e-08
0.6031352.0985316.766876e-08
0.6062872.0976766.802236e-08
0.6094552.0968336.837781e-08
0.6126392.0966.873512e-08
0.615842.0951796.909429e-08
0.6190582.0943686.945534e-08
0.6222932.0935676.981828e-08
0.6255452.0927787.018311e-08
0.6288132.0919987.054985e-08
0.6320992.0912287.091850e-08
0.6354022.0904687.128909e-08
0.6387222.0897187.166160e-08
0.6420592.0889777.203607e-08
0.6454142.0882467.241249e-08
0.6487872.0875247.279088e-08
0.652.0872677.292700e-08
0.6521772.0868117.267980e-08
0.6555852.0861077.229281e-08
0.659012.0854117.190380e-08
0.6624542.0847247.151276e-08
0.6659152.0840467.111967e-08
0.6693952.0833767.072453e-08
0.6728922.0827157.032733e-08
0.6764092.0820616.992805e-08
0.6799432.0814156.952668e-08
0.6834962.0807786.912322e-08
0.6870672.0801486.871765e-08
0.6906572.0795256.830996e-08
0.6942662.078916.790014e-08
0.6978942.0783036.748817e-08
0.72.0779556.724900e-08
0.7015412.0777026.709966e-08
0.7052062.0771096.674431e-08
0.7088912.0765236.638710e-08
0.7125952.0759436.602802e-08
0.7163192.0753716.566707e-08
0.7200622.0748056.530423e-08
0.7238242.0742466.493949e-08
0.7276062.0736936.457285e-08
0.7314082.0731476.420429e-08
0.735232.0726076.383381e-08
0.7390722.0720736.346139e-08
0.7429342.0715456.308702e-08
0.7468162.0710246.271070e-08
0.7507182.0705086.233241e-08
0.7546412.0699986.195215e-08
0.7585842.0694946.156990e-08
0.7625472.0689966.118565e-08
0.7665322.0685036.079939e-08
0.7705372.0680166.041112e-08
0.7745642.0675346.002081e-08
0.7786112.0670575.962847e-08
0.7826792.0665865.923408e-08
0.7867692.066125.883762e-08
0.790882.0656595.843910e-08
0.7950122.0652035.803849e-08
0.7991672.0647525.763579e-08
0.82.0646625.755500e-08
0.8033422.0643055.635048e-08
0.807542.0638645.483777e-08
0.811762.0634275.331716e-08
0.8160012.0629965.178860e-08
0.8202652.0625685.025205e-08
0.8245512.0621454.870748e-08
0.828862.0617274.715483e-08
0.8331912.0613134.559407e-08
0.8375442.0609044.402516e-08
0.8419212.0604984.244805e-08
0.846322.0600974.086270e-08
0.8507422.05973.926906e-08
0.8551872.0593073.766710e-08
0.8596562.0589183.605676e-08
0.8641482.0585343.443801e-08
0.8686632.0581533.281081e-08
0.8732022.0577763.117510e-08
0.8777652.0574022.953084e-08
0.8823512.0570332.787799e-08
0.8869622.0566672.621651e-08
0.8915972.0563042.454634e-08
0.8962552.0559462.286745e-08
0.92.0556612.151800e-08
0.9009392.0555912.161539e-08
0.9056462.0552392.210390e-08
0.9103782.0548912.259496e-08
0.9151352.0545462.308859e-08
0.9199172.0542042.358480e-08
0.9247242.0538662.408360e-08
0.9295562.0535312.458500e-08
0.9344132.0531992.508903e-08
0.9392952.052872.559569e-08
0.9442042.0525442.610500e-08
0.9491372.0522222.661697e-08
0.9540972.0519022.713161e-08
0.9590822.0515852.764894e-08
0.9640932.0512712.816898e-08
0.9691312.050962.869173e-08
0.9741952.0506522.921722e-08
0.9792852.0503462.974545e-08
0.9844022.0500443.027644e-08
0.9895462.0497443.081021e-08
0.9947172.0494463.134676e-08
0.9999142.0491513.188612e-08
12.0491473.189500e-08
1.005142.0488593.205891e-08
1.010392.0485693.222643e-08
1.015672.0482823.239482e-08
1.020982.0479973.256409e-08
1.026312.0477153.273425e-08
1.031682.0474353.290529e-08
1.037072.0471573.307723e-08
1.042492.0468813.325007e-08
1.047932.0466083.342380e-08
1.053412.0463373.359845e-08
1.058912.0460683.377401e-08
1.064452.0458013.395049e-08
1.070012.0455373.412789e-08
1.07562.0452743.430621e-08
1.081222.0450143.448547e-08
1.086872.0447553.466567e-08
1.092552.0444993.484680e-08
1.098262.0442443.502889e-08
1.1042.0439913.521192e-08
1.109762.043743.539591e-08
1.115562.0434913.558086e-08
1.121392.0432443.576678e-08
1.127252.0429993.595367e-08
1.133142.0427553.614154e-08
1.139062.0425133.633039e-08
1.145012.0422723.652022e-08
1.1512.0420343.671105e-08
1.157012.0417973.690287e-08
1.163062.0415613.709570e-08
1.169132.0413273.728953e-08
1.175242.0410943.748438e-08
1.181382.0408633.768024e-08
1.187562.0406343.787713e-08
1.193762.0404063.807505e-08
1.22.0401793.827400e-08
1.22.0401793.827400e-08
1.206272.0399543.847399e-08
1.212572.039733.867503e-08
1.218912.0395073.887711e-08
1.225282.0392863.908025e-08
1.231682.0390653.928446e-08
1.238122.0388473.948973e-08
1.244592.0386293.969607e-08
1.251092.0384123.990349e-08
1.257632.0381974.011200e-08
1.26422.0379834.032159e-08
1.27082.0377694.053228e-08
1.277442.0375574.074407e-08
1.284122.0373464.095697e-08
1.290832.0371364.117098e-08
1.297572.0369274.138611e-08
1.304352.0367194.160236e-08
1.311172.0365124.181974e-08
1.318022.0363064.203826e-08
1.324912.03614.225792e-08
1.331832.0358964.247873e-08
1.338792.0356924.270069e-08
1.345782.0354894.292381e-08
1.352822.0352874.314810e-08
1.359892.0350864.337356e-08
1.366992.0348854.360020e-08
1.374132.0346854.382802e-08
1.381312.0344864.405703e-08
1.388532.0342884.428724e-08
1.395792.034094.451865e-08
1.42.0339764.465300e-08
1.403082.0338924.573840e-08
1.410412.0336964.832115e-08
1.417782.03355.091740e-08
1.425192.0333045.352721e-08
1.432642.0331095.615066e-08
1.440122.0329145.878782e-08
1.447652.032726.143876e-08
1.455212.0325276.410355e-08
1.462822.0323336.678227e-08
1.470462.032146.947498e-08
1.478142.0319487.218177e-08
1.485872.0317567.490269e-08
1.493632.0315647.763783e-08
1.501442.0313728.038727e-08
1.509282.0311818.315107e-08
1.517172.030998.592931e-08
1.525092.03088.872208e-08
1.533062.0306099.152943e-08
1.541072.0304199.435145e-08
1.549132.0302289.718822e-08
1.557222.0300381.000398e-07
1.565362.0298481.029063e-07
1.573542.0296591.057878e-07
1.581762.0294691.086843e-07
1.590022.0292791.115960e-07
1.598332.0290891.145228e-07
1.62.0290511.151100e-07
1.606682.02891.189849e-07
1.615082.028711.238513e-07
1.623522.028521.287430e-07
1.6322.028331.336604e-07
1.640532.028141.386034e-07
1.64912.027951.435722e-07
1.657722.027761.485670e-07
1.666382.027571.535880e-07
1.675092.0273791.586351e-07
1.683842.0271881.637086e-07
1.692642.0269971.688087e-07
1.701482.0268061.739354e-07
1.710372.0266151.790888e-07
1.719312.0264231.842692e-07
1.72832.0262311.894767e-07
1.737332.0260381.947114e-07
1.74642.0258451.999734e-07
1.755532.0256522.052629e-07
1.76472.0254582.105801e-07
1.773922.0252642.159250e-07
1.783192.0250692.212979e-07
1.792512.0248742.266989e-07
1.82.0247182.310400e-07
1.801882.0246782.337296e-07
1.811292.0244822.472207e-07
1.820762.0242852.607823e-07
1.830272.0240882.744147e-07
1.839832.023892.881184e-07
1.849452.0236913.018937e-07
1.859112.0234923.157410e-07
1.868832.0232923.296606e-07
1.878592.0230913.436529e-07
1.888412.022893.577184e-07
1.898272.0226873.718574e-07
1.908192.0224843.860702e-07
1.918162.022284.003573e-07
1.928192.0220764.147191e-07
1.938262.021874.291559e-07
1.948392.0216634.436681e-07
1.958572.0214564.582562e-07
1.96882.0212484.729205e-07
1.979092.0210384.876614e-07
1.989432.0208285.024793e-07
1.999832.0206165.173747e-07
22.0206135.176200e-07
2.010282.0204045.748851e-07
2.020782.020196.334080e-07
2.031342.0199756.922368e-07
2.041962.0197597.513730e-07
2.052632.0195428.108182e-07
2.063352.0193248.705740e-07
2.074132.0191059.306421e-07
2.084972.0188849.910240e-07
2.095862.0186621.051721e-06
2.106822.0184381.112736e-06
2.117822.0182131.174069e-06
2.128892.0179871.235723e-06
2.140012.017761.297699e-06
2.15122.0175311.359999e-06
2.162442.01731.422625e-06
2.173742.0170681.485577e-06
2.18512.0168351.548859e-06
2.196512.01661.612471e-06
2.22.0165281.631900e-06
2.207992.0163631.727485e-06
2.219532.0161251.865505e-06
2.231122.0158852.004247e-06
2.242782.0156432.143713e-06
2.25452.0153992.283908e-06
2.266282.0151542.424836e-06
2.278122.0149072.566500e-06
2.290032.0146582.708905e-06
2.301992.0144082.852053e-06
2.314022.0141552.995950e-06
2.326112.01393.140598e-06
2.338272.0136443.286003e-06
2.350492.0133853.432167e-06
2.362772.0131253.579094e-06
2.375112.0128623.726790e-06
2.387522.0125973.875257e-06
2.42.012334.024500e-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
—