Optical constants

Refractive index of L-BAL43 (OHARA)

L-BAL43: 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.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.58573
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.51453
Permittivity ε2
1.48370e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
59.697
Chromatic dispersion dn/dλ
-0.0507328 µm⁻¹
Group index ng
1.61554
Group velocity dispersion
88.0632 fs²/mm
Dispersion parameter D
-480.432 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-BAL43 (OHARA): L-BAL43
ohara_l_bal43 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-BAL43", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_bal43.range_nm)  # (300, 2400) nm
eps = ohara_l_bal43.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=1.04745291λ2λ2−0.00563209756+0.428452873λ2λ2−0.0188321416+1.14111303λ2λ2−114.197069

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.04745291
C30.00563209756
C40.428452873
C50.0188321416
C61.14111303
C7114.197069

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.03e-06 9.62e-09 -1.13e-11 4.9e-07 5.73e-10 0.199
nd
1.585729
Vd
59.696980
density
value: 3050
thermal expansion
value: 7.2e-06, temperature range: 243 343
dPgF
0.5415
resistance
acid: 51.4; climatic: 3.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.09e-06 K⁻¹ at 633 nm, dn/dT = 1.55e-06 K⁻¹ at 1310 nm, dn/dT = 1.50e-06 K⁻¹ at 1550 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 427 wavelengths, the same grid as the API and the library
L-BAL43 (OHARA), L-BAL43: n and k versus wavelength
λ (µm)nk
0.31.6304312.955200e-06
0.3015681.6297362.752341e-06
0.3031431.6290512.548421e-06
0.3047271.6283752.343436e-06
0.306321.6277092.137380e-06
0.307921.6270521.930248e-06
0.3095291.6264041.722033e-06
0.311.6262161.661100e-06
0.3111471.6257641.574787e-06
0.3127721.6251331.452391e-06
0.3144071.6245111.329355e-06
0.3160491.6238971.205677e-06
0.3177011.6232911.081352e-06
0.3193611.6226949.563771e-07
0.321.6224679.082700e-07
0.321031.6221048.651289e-07
0.3227071.6215227.948502e-07
0.3243931.6209487.242042e-07
0.3260881.6203826.531891e-07
0.3277921.6198235.818030e-07
0.3295051.6192715.100438e-07
0.331.6191134.893100e-07
0.3312271.6187264.620468e-07
0.3329581.6181894.235864e-07
0.3346971.6176583.849249e-07
0.3364461.6171353.460615e-07
0.3382041.6166183.069949e-07
0.3399711.6161082.677243e-07
0.341.6160992.670900e-07
0.3417481.6156042.458899e-07
0.3435341.6151072.242309e-07
0.3453291.6146162.024588e-07
0.3471331.6141311.805730e-07
0.3489471.6136531.585728e-07
0.351.6133791.458000e-07
0.350771.613181.410635e-07
0.3526031.6127141.297927e-07
0.3544461.6122531.184630e-07
0.3562981.6117981.070741e-07
0.3581591.6113499.562572e-08
0.361.6109138.430700e-08
0.3600311.6109068.420277e-08
0.3619121.6104687.784002e-08
0.3638031.6100357.144402e-08
0.3657041.6096086.501461e-08
0.3676151.6091865.855159e-08
0.3695361.6087695.205481e-08
0.371.6086695.048500e-08
0.3714671.6083574.843474e-08
0.3734081.6079514.572161e-08
0.3753591.6075494.299430e-08
0.377321.6071524.025274e-08
0.3792921.606763.749685e-08
0.381.6066213.650700e-08
0.3812741.6063733.582988e-08
0.3832661.605993.477080e-08
0.3852691.6056123.370619e-08
0.3872821.6052393.263602e-08
0.3893051.604873.156025e-08
0.391.6047453.119100e-08
0.391341.6045062.872169e-08
0.3933841.6041452.495244e-08
0.395441.603792.116348e-08
0.3975061.6034381.735473e-08
0.3995831.603091.352608e-08
0.41.6030211.275800e-08
0.4016711.6027471.253105e-08
0.403771.6024081.224603e-08
0.405881.6020721.195952e-08
0.4080011.6017411.167151e-08
0.4101331.6014131.138200e-08
0.4122761.601091.109097e-08
0.414431.600771.079843e-08
0.4165951.6004531.050435e-08
0.4187721.6001411.020874e-08
0.421.5999671.004200e-08
0.420961.5998321.023368e-08
0.423161.5995271.067273e-08
0.4253711.5992251.111406e-08
0.4275941.5989261.155771e-08
0.4298281.5986311.200367e-08
0.4320741.598341.245196e-08
0.4343321.5980511.290260e-08
0.4366011.5977661.335559e-08
0.4388821.5974841.381094e-08
0.441.5973481.403400e-08
0.4411761.5972061.363980e-08
0.4434811.596931.286691e-08
0.4457981.5966581.208998e-08
0.4481281.5963891.130899e-08
0.4504691.5961221.052392e-08
0.4528231.5958599.734745e-09
0.4551891.5955998.941448e-09
0.4575681.5953418.144006e-09
0.4599591.5950867.342397e-09
0.461.5950827.328500e-09
0.4623621.5948356.914345e-09
0.4647781.5945856.490720e-09
0.4672061.5943396.064882e-09
0.4696481.5940965.636818e-09
0.4721021.5938555.206518e-09
0.4745691.5936164.773969e-09
0.4770481.593384.339161e-09
0.4795411.5931473.902080e-09
0.481.5931053.821600e-09
0.4820471.5929173.837902e-09
0.4845661.5926893.857965e-09
0.4870981.5924633.878132e-09
0.4896431.592243.898404e-09
0.4922011.5920193.918783e-09
0.4947731.59183.939268e-09
0.4973581.5915843.959860e-09
0.4999571.591373.980559e-09
0.51.5913673.980900e-09
0.502571.5911584.001359e-09
0.5051961.5909494.022268e-09
0.5078351.5907424.043286e-09
0.5104891.5905374.064413e-09
0.5131561.5903344.085651e-09
0.5158381.5901334.107000e-09
0.5185331.5899354.128461e-09
0.5212431.5897384.150034e-09
0.5239661.5895434.171719e-09
0.5267041.5893514.193518e-09
0.5294561.589164.215430e-09
0.5322231.5889724.237458e-09
0.5350041.5887854.259600e-09
0.5377991.58864.281858e-09
0.5406091.5884174.304232e-09
0.5434341.5882364.326723e-09
0.5462741.5880574.349332e-09
0.5491281.587884.372059e-09
0.551.5878264.379000e-09
0.5519981.5877044.394900e-09
0.5548821.587534.417859e-09
0.5577811.5873584.440938e-09
0.5606961.5871874.464138e-09
0.5636261.5870194.487459e-09
0.5665711.5868524.510902e-09
0.5695311.5866864.534467e-09
0.5725071.5865224.558156e-09
0.5754981.586364.581968e-09
0.5785061.5861994.605905e-09
0.5815281.586044.629966e-09
0.5845671.5858824.654154e-09
0.5876221.5857264.678468e-09
0.5906921.5855724.702908e-09
0.5937791.5854194.727477e-09
0.5968811.5852674.752174e-09
0.61.5851174.777000e-09
0.6031351.5849684.801962e-09
0.6062871.584824.827054e-09
0.6094551.5846744.852278e-09
0.6126391.584534.877633e-09
0.615841.5843864.903121e-09
0.6190581.5842444.928742e-09
0.6222931.5841034.954497e-09
0.6255451.5839644.980387e-09
0.6288131.5838255.006411e-09
0.6320991.5836885.032572e-09
0.6354021.5835535.058869e-09
0.6387221.5834185.085304e-09
0.6420591.5832855.111877e-09
0.6454141.5831525.138589e-09
0.6487871.5830215.165440e-09
0.651.5829755.175100e-09
0.6521771.5828915.192432e-09
0.6555851.5827625.219565e-09
0.659011.5826355.246839e-09
0.6624541.5825085.274256e-09
0.6659151.5823835.301817e-09
0.6693951.5822585.329521e-09
0.6728921.5821355.357370e-09
0.6764091.5820125.385365e-09
0.6799431.5818915.413505e-09
0.6834961.581775.441793e-09
0.6870671.5816515.470229e-09
0.6906571.5815325.498813e-09
0.6942661.5814155.527547e-09
0.6978941.5812985.556431e-09
0.71.5812315.573200e-09
0.7015411.5811835.585466e-09
0.7052061.5810685.614652e-09
0.7088911.5809545.643991e-09
0.7125951.5808415.673483e-09
0.7163191.5807295.703129e-09
0.7200621.5806185.732931e-09
0.7238241.5805075.762888e-09
0.7276061.5803985.793001e-09
0.7314081.5802895.823272e-09
0.735231.5801815.853701e-09
0.7390721.5800745.884289e-09
0.7429341.5799675.915037e-09
0.7468161.5798625.945945e-09
0.7507181.5797575.977015e-09
0.7546411.5796536.008248e-09
0.7585841.5795496.039643e-09
0.7625471.5794466.071203e-09
0.7665321.5793446.102928e-09
0.7705371.5792436.134818e-09
0.7745641.5791426.166875e-09
0.7786111.5790426.199099e-09
0.7826791.5789436.231492e-09
0.7867691.5788446.264054e-09
0.790881.5787466.296786e-09
0.7950121.5786486.329689e-09
0.7991671.5785516.362765e-09
0.81.5785326.369400e-09
0.8033421.5784556.396013e-09
0.807541.5783596.429434e-09
0.811761.5782646.463031e-09
0.8160011.5781696.496803e-09
0.8202651.5780756.530751e-09
0.8245511.5779826.564877e-09
0.828861.5778896.599181e-09
0.8331911.5777966.633664e-09
0.8375441.5777046.668328e-09
0.8419211.5776136.703172e-09
0.846321.5775226.738199e-09
0.8507421.5774316.773409e-09
0.8551871.5773416.808803e-09
0.8596561.5772516.844381e-09
0.8641481.5771626.880146e-09
0.8686631.5770736.916097e-09
0.8732021.5769856.952236e-09
0.8777651.5768966.988565e-09
0.8823511.5768097.025083e-09
0.8869621.5767227.061791e-09
0.8915971.5766357.098692e-09
0.8962551.5765487.135785e-09
0.91.5764797.165600e-09
0.9009391.5764627.173072e-09
0.9056461.5763767.210549e-09
0.9103781.5762917.248222e-09
0.9151351.5762057.286092e-09
0.9199171.5761217.324160e-09
0.9247241.5760367.362427e-09
0.9295561.5759527.400894e-09
0.9344131.5758687.439561e-09
0.9392951.5757847.478431e-09
0.9442041.5757017.517504e-09
0.9491371.5756177.556781e-09
0.9540971.5755347.596264e-09
0.9590821.5754527.635952e-09
0.9640931.5753697.675848e-09
0.9691311.5752877.715953e-09
0.9741951.5752057.756267e-09
0.9792851.5751237.796791e-09
0.9844021.5750417.837528e-09
0.9895461.574967.878477e-09
0.9947171.5748787.919640e-09
0.9999141.5747977.961019e-09
11.5747967.961700e-09
1.005141.5747168.002618e-09
1.010391.5746358.044435e-09
1.015671.5745548.086471e-09
1.020981.5744738.128726e-09
1.026311.5743938.171202e-09
1.031681.5743128.213901e-09
1.037071.5742328.256822e-09
1.042491.5741528.299967e-09
1.047931.5740728.343338e-09
1.053411.5739918.386935e-09
1.058911.5739118.430761e-09
1.064451.5738318.474815e-09
1.070011.5737518.519099e-09
1.07561.5736718.563615e-09
1.081221.5735918.608364e-09
1.086871.5735118.653346e-09
1.092551.5734318.698564e-09
1.098261.5733518.744017e-09
1.1041.5732718.789708e-09
1.109761.5731918.835638e-09
1.115561.5731118.881808e-09
1.121391.5730318.928219e-09
1.127251.5729518.974873e-09
1.133141.5728719.021770e-09
1.139061.572799.068913e-09
1.145011.572719.116301e-09
1.1511.5726299.163938e-09
1.157011.5725499.211823e-09
1.163061.5724689.259959e-09
1.169131.5723879.308346e-09
1.175241.5723069.356986e-09
1.181381.5722259.405880e-09
1.187561.5721449.455029e-09
1.193761.5720629.504436e-09
1.21.5719819.554100e-09
1.21.5719819.554100e-09
1.206271.5718991.170813e-08
1.212571.5718171.387341e-08
1.218911.5717351.605001e-08
1.225281.5716521.823798e-08
1.231681.571572.043738e-08
1.238121.5714872.264828e-08
1.244591.5714042.487072e-08
1.251091.5713212.710479e-08
1.257631.5712372.935052e-08
1.26421.5711533.160799e-08
1.27081.5710693.387725e-08
1.277441.5709853.615837e-08
1.284121.57093.845142e-08
1.290831.5708154.075644e-08
1.297571.570734.307351e-08
1.304351.5706444.540268e-08
1.311171.5705584.774403e-08
1.318021.5704725.009761e-08
1.324911.5703855.246348e-08
1.331831.5702985.484172e-08
1.338791.5702115.723239e-08
1.345781.5701235.963555e-08
1.352821.5700356.205126e-08
1.359891.5699466.447960e-08
1.366991.5698576.692063e-08
1.374131.5697686.937441e-08
1.381311.5696787.184101e-08
1.388531.5695877.432050e-08
1.395791.5694967.681295e-08
1.41.5694447.826000e-08
1.403081.5694057.764372e-08
1.410411.5693137.617725e-08
1.417781.5692217.470312e-08
1.425191.5691287.322128e-08
1.432641.5690357.173171e-08
1.440121.5689417.023434e-08
1.447651.5688476.872916e-08
1.455211.5687526.721611e-08
1.462821.5686576.569515e-08
1.470461.5685616.416625e-08
1.478141.5684646.262936e-08
1.485871.5683676.108443e-08
1.493631.5682695.953144e-08
1.501441.5681715.797033e-08
1.509281.5680715.640106e-08
1.517171.5679725.482359e-08
1.525091.5678715.323788e-08
1.533061.567775.164389e-08
1.541071.5676695.004156e-08
1.549131.5675664.843086e-08
1.557221.5674634.681175e-08
1.565361.5673594.518418e-08
1.573541.5672554.354810e-08
1.581761.5671494.190347e-08
1.590021.5670434.025025e-08
1.598331.5669373.858839e-08
1.61.5669153.825500e-08
1.606681.5668294.275646e-08
1.615081.5667214.840965e-08
1.623521.5666115.409238e-08
1.6321.5665015.980481e-08
1.640531.5663916.554708e-08
1.64911.5662797.131936e-08
1.657721.5661667.712180e-08
1.666381.5660538.295456e-08
1.675091.5659388.881779e-08
1.683841.5658239.471167e-08
1.692641.5657071.006363e-07
1.701481.565591.065920e-07
1.710371.5654721.125787e-07
1.719311.5653531.185967e-07
1.72831.5652331.246462e-07
1.737331.5651121.307273e-07
1.74641.564991.368402e-07
1.755531.5648671.429850e-07
1.76471.5647431.491619e-07
1.773921.5646171.553711e-07
1.783191.5644911.616127e-07
1.792511.5643641.678869e-07
1.81.5642611.729300e-07
1.801881.5642361.750888e-07
1.811291.5641061.859173e-07
1.820761.5639751.968023e-07
1.830271.5638442.077442e-07
1.839831.5637112.187433e-07
1.849451.5635762.297999e-07
1.859111.5634412.409142e-07
1.868831.5633042.520866e-07
1.878591.5631672.633174e-07
1.888411.5630272.746069e-07
1.898271.5628872.859554e-07
1.908191.5627452.973631e-07
1.918161.5626023.088305e-07
1.928191.5624583.203578e-07
1.938261.5623123.319453e-07
1.948391.5621653.435934e-07
1.958571.5620173.553023e-07
1.96881.5618673.670725e-07
1.979091.5617163.789041e-07
1.989431.5615633.907975e-07
1.999831.5614094.027531e-07
21.5614064.029500e-07
2.010281.5612534.631480e-07
2.020781.5610965.246684e-07
2.031341.5609375.865102e-07
2.041961.5607766.486751e-07
2.052631.5606147.111649e-07
2.063351.5604517.739812e-07
2.074131.5602868.371258e-07
2.084971.5601199.006003e-07
2.095861.5599519.644064e-07
2.106821.559781.028546e-06
2.117821.5596091.093021e-06
2.128891.5594351.157832e-06
2.140011.559261.222983e-06
2.15121.5590821.288473e-06
2.162441.5589031.354306e-06
2.173741.5587231.420483e-06
2.18511.558541.487006e-06
2.196511.5583551.553876e-06
2.21.5582991.574300e-06
2.207991.5581691.644436e-06
2.219531.5579811.745711e-06
2.231121.557791.847514e-06
2.242781.5575981.949849e-06
2.25451.5574032.052719e-06
2.266281.5572072.156127e-06
2.278121.5570092.260075e-06
2.290031.5568082.364566e-06
2.301991.5566052.469603e-06
2.314021.55642.575189e-06
2.326111.5561932.681326e-06
2.338271.5559842.788018e-06
2.350491.5557722.895268e-06
2.362771.5555583.003078e-06
2.375111.5553423.111451e-06
2.387521.5551243.220391e-06
2.41.5549033.329900e-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
—