Optical constants

Refractive index of L-BAL35 (OHARA)

L-BAL35: 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
1.58913
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.52533
Permittivity ε2
2.62978e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
61.153
Chromatic dispersion dn/dλ
-0.0499012 µm⁻¹
Group index ng
1.61845
Group velocity dispersion
85.2337 fs²/mm
Dispersion parameter D
-464.995 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-BAL35 (OHARA): L-BAL35
ohara_l_bal35 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-BAL35", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_bal35.range_nm)  # (300, 2400) nm
eps = ohara_l_bal35.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=1.1626263λ2λ2−0.0125957437+0.325661051λ2λ2+0.0032691105+1.35132486λ2λ2−119.214596

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.1626263
C30.0125957437
C40.325661051
C5-0.0032691105
C61.35132486
C7119.214596

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.03e-06 1.22e-08 -3.81e-11 4.93e-07 5.76e-10 0.16
nd
1.589130
Vd
61.152601
glass code
589612
density
value: 2820
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
dPgF
-0.0043
resistance
acid: 52.2; climatic: 3.0; phosphate: 3.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.04e-06 K⁻¹ at 633 nm, dn/dT = 2.50e-06 K⁻¹ at 1310 nm, dn/dT = 2.44e-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-BAL35 (OHARA), L-BAL35: n and k versus wavelength
λ (µm)nk
0.31.6324966.716500e-06
0.3015681.631836.169966e-06
0.3031431.6311735.620577e-06
0.3047271.6305255.068317e-06
0.306321.6298854.513171e-06
0.307921.6292543.955124e-06
0.3095291.6286313.394162e-06
0.311.6284513.230000e-06
0.3111471.6280173.045033e-06
0.3127721.627412.782740e-06
0.3144071.6268122.519077e-06
0.3160491.6262212.254036e-06
0.3177011.6256381.987611e-06
0.3193611.6250631.719793e-06
0.321.6248441.616700e-06
0.321031.6244951.535326e-06
0.3227071.6239341.402765e-06
0.3243931.6233811.269512e-06
0.3260881.6228351.135562e-06
0.3277921.6222951.000912e-06
0.3295051.6217638.655585e-07
0.331.6216118.264500e-07
0.3312271.6212377.790039e-07
0.3329581.6207187.120710e-07
0.3346971.6202066.447884e-07
0.3364461.61975.771542e-07
0.3382041.6192015.091667e-07
0.3399711.6187084.408238e-07
0.341.61874.397200e-07
0.3417481.6182214.023973e-07
0.3435341.617743.642670e-07
0.3453291.6172653.259374e-07
0.3471331.6167972.874075e-07
0.3489471.6163332.486763e-07
0.351.6160682.261900e-07
0.350771.6158762.186970e-07
0.3526031.6154252.008669e-07
0.3544461.6149791.829437e-07
0.3562981.6145381.649269e-07
0.3581591.6141031.468159e-07
0.361.613681.289100e-07
0.3600311.6136731.287425e-07
0.3619121.6132481.185151e-07
0.3638031.6128291.082342e-07
0.3657041.6124159.789968e-08
0.3676151.6120068.751112e-08
0.3695361.6116017.706828e-08
0.371.6115057.454500e-08
0.3714671.6112027.076497e-08
0.3734081.6108076.576282e-08
0.3753591.6104186.073452e-08
0.377321.6100325.567996e-08
0.3792921.6096525.059898e-08
0.381.6095174.877400e-08
0.3812741.6092764.693396e-08
0.3832661.6089044.405596e-08
0.3852691.6085374.116292e-08
0.3872821.6081753.825477e-08
0.3893051.6078163.533142e-08
0.391.6076943.432800e-08
0.391341.6074623.315437e-08
0.3933841.6071123.136288e-08
0.395441.6067662.956203e-08
0.3975061.6064242.775178e-08
0.3995831.6060862.593206e-08
0.41.6060192.556700e-08
0.4016711.6057522.539244e-08
0.403771.6054222.517322e-08
0.405881.6050962.495285e-08
0.4080011.6047742.473133e-08
0.4101331.6044552.450865e-08
0.4122761.604142.428481e-08
0.414431.6038292.405980e-08
0.4165951.6035212.383362e-08
0.4187721.6032162.360625e-08
0.421.6030472.347800e-08
0.420961.6029162.353168e-08
0.423161.6026182.365464e-08
0.4253711.6023242.377824e-08
0.4275941.6020342.390249e-08
0.4298281.6017462.402739e-08
0.4320741.6014622.415293e-08
0.4343321.6011812.427914e-08
0.4366011.6009032.440600e-08
0.4388821.6006292.453353e-08
0.441.6004962.459600e-08
0.4411761.6003572.422876e-08
0.4434811.6000882.350871e-08
0.4457981.5998232.278491e-08
0.4481281.599562.205732e-08
0.4504691.59932.132593e-08
0.4528231.5990442.059071e-08
0.4551891.598791.985166e-08
0.4575681.5985381.910874e-08
0.4599591.598291.836195e-08
0.461.5982861.834900e-08
0.4623621.5980441.799010e-08
0.4647781.5978011.762300e-08
0.4672061.5975611.725398e-08
0.4696481.5973231.688303e-08
0.4721021.5970871.651014e-08
0.4745691.5968551.613530e-08
0.4770481.5966241.575851e-08
0.4795411.5963971.537974e-08
0.481.5963551.531000e-08
0.4820471.5961711.455841e-08
0.4845661.5959481.363346e-08
0.4870981.5957281.270369e-08
0.4896431.595511.176905e-08
0.4922011.5952941.082953e-08
0.4947731.595089.885103e-09
0.4973581.5948698.935739e-09
0.4999571.594667.981415e-09
0.51.5946567.965700e-09
0.502571.5944537.781372e-09
0.5051961.5942487.592996e-09
0.5078351.5940457.403635e-09
0.5104891.5938457.213284e-09
0.5131561.5936467.021939e-09
0.5158381.593456.829594e-09
0.5185331.5932556.636244e-09
0.5212431.5930636.441884e-09
0.5239661.5928726.246508e-09
0.5267041.5926836.050111e-09
0.5294561.5924975.852688e-09
0.5322231.5923125.654234e-09
0.5350041.5921295.454742e-09
0.5377991.5919485.254208e-09
0.5406091.5917695.052626e-09
0.5434341.5915914.849991e-09
0.5462741.5914154.646297e-09
0.5491281.5912414.441539e-09
0.551.5911894.379000e-09
0.5519981.5910694.585938e-09
0.5548821.5908984.884747e-09
0.5577811.5907295.185118e-09
0.5606961.5905625.487059e-09
0.5636261.5903965.790577e-09
0.5665711.5902326.095681e-09
0.5695311.590076.402379e-09
0.5725071.5899096.710680e-09
0.5754981.5897497.020592e-09
0.5785061.5895927.332123e-09
0.5815281.5894357.645282e-09
0.5845671.589287.960077e-09
0.5876221.5891278.276518e-09
0.5906921.5889748.594611e-09
0.5937791.5888248.914367e-09
0.5968811.5886759.235794e-09
0.61.5885279.558900e-09
0.6031351.588389.608818e-09
0.6062871.5882359.658996e-09
0.6094551.5880919.709437e-09
0.6126391.5879489.760141e-09
0.615841.5878079.811111e-09
0.6190581.5876679.862346e-09
0.6222931.5875289.913850e-09
0.6255451.587399.965622e-09
0.6288131.5872541.001766e-08
0.6320991.5871181.006998e-08
0.6354021.5869841.012257e-08
0.6387221.5868511.017543e-08
0.6420591.586721.022857e-08
0.6454141.5865891.028199e-08
0.6487871.5864591.033568e-08
0.651.5864131.035500e-08
0.6521771.5863311.038970e-08
0.6555851.5862031.044402e-08
0.659011.5860771.049862e-08
0.6624541.5859521.055351e-08
0.6659151.5858271.060869e-08
0.6693951.5857041.066415e-08
0.6728921.5855821.071991e-08
0.6764091.585461.077595e-08
0.6799431.585341.083229e-08
0.6834961.585221.088892e-08
0.6870671.5851021.094585e-08
0.6906571.5849841.100308e-08
0.6942661.5848671.106060e-08
0.6978941.5847521.111843e-08
0.71.5846851.115200e-08
0.7015411.5846371.107832e-08
0.7052061.5845221.090301e-08
0.7088911.5844091.072677e-08
0.7125951.5842971.054962e-08
0.7163191.5841851.037154e-08
0.7200621.5840741.019253e-08
0.7238241.5839641.001259e-08
0.7276061.5838559.831702e-09
0.7314081.5837469.649872e-09
0.735231.5836399.467091e-09
0.7390721.5835329.283356e-09
0.7429341.5834259.098660e-09
0.7468161.583328.912999e-09
0.7507181.5832158.726368e-09
0.7546411.583118.538762e-09
0.7585841.5830078.350176e-09
0.7625471.5829048.160604e-09
0.7665321.5828027.970042e-09
0.7705371.58277.778484e-09
0.7745641.5825997.585925e-09
0.7786111.5824997.392360e-09
0.7826791.5823997.197783e-09
0.7867691.58237.002190e-09
0.790881.5822016.805575e-09
0.7950121.5821036.607932e-09
0.7991671.5820056.409257e-09
0.81.5819866.369400e-09
0.8033421.5819086.635747e-09
0.807541.5818126.970242e-09
0.811761.5817167.306484e-09
0.8160011.581627.644483e-09
0.8202651.5815257.984248e-09
0.8245511.5814318.325789e-09
0.828861.5813378.669114e-09
0.8331911.5812439.014233e-09
0.8375441.581159.361155e-09
0.8419211.5810589.709891e-09
0.846321.5809651.006045e-08
0.8507421.5808731.041284e-08
0.8551871.5807821.076707e-08
0.8596561.5806911.112315e-08
0.8641481.58061.148109e-08
0.8686631.580511.184090e-08
0.8732021.580421.220260e-08
0.8777651.580331.256618e-08
0.8823511.5802411.293166e-08
0.8869621.5801521.329905e-08
0.8915971.5800631.366836e-08
0.8962551.5799751.403961e-08
0.91.5799051.433800e-08
0.9009391.5798871.442783e-08
0.9056461.5797991.487839e-08
0.9103781.5797121.533131e-08
0.9151351.5796251.578660e-08
0.9199171.5795381.624427e-08
0.9247241.5794511.670432e-08
0.9295561.5793651.716678e-08
0.9344131.5792781.763166e-08
0.9392951.5791921.809897e-08
0.9442041.5791061.856872e-08
0.9491371.5790211.904092e-08
0.9540971.5789351.951559e-08
0.9590821.578851.999274e-08
0.9640931.5787652.047239e-08
0.9691311.578682.095454e-08
0.9741951.5785952.143921e-08
0.9792851.5785112.192641e-08
0.9844021.5784262.241616e-08
0.9895461.5783422.290846e-08
0.9947171.5782572.340334e-08
0.9999141.5781732.390081e-08
11.5781722.390900e-08
1.005141.5780892.403188e-08
1.010391.5780052.415746e-08
1.015671.5779212.428369e-08
1.020981.5778372.441058e-08
1.026311.5777532.453814e-08
1.031681.5776692.466636e-08
1.037071.5775852.479525e-08
1.042491.5775022.492482e-08
1.047931.5774182.505506e-08
1.053411.5773342.518599e-08
1.058911.577252.531760e-08
1.064451.5771662.544989e-08
1.070011.5770832.558288e-08
1.07561.5769992.571656e-08
1.081221.5769152.585094e-08
1.086871.5768312.598602e-08
1.092551.5767472.612181e-08
1.098261.5766622.625831e-08
1.1041.5765782.639552e-08
1.109761.5764942.653345e-08
1.115561.5764092.667210e-08
1.121391.5763252.681147e-08
1.127251.576242.695157e-08
1.133141.5761552.709241e-08
1.139061.576072.723398e-08
1.145011.5759852.737628e-08
1.1511.57592.751934e-08
1.157011.5758142.766314e-08
1.163061.5757292.780769e-08
1.169131.5756432.795300e-08
1.175241.5755572.809906e-08
1.181381.575472.824589e-08
1.187561.5753842.839349e-08
1.193761.5752972.854186e-08
1.21.575212.869100e-08
1.21.575212.869100e-08
1.206271.5751233.094921e-08
1.212571.5750353.321922e-08
1.218911.5749473.550110e-08
1.225281.5748593.779489e-08
1.231681.5747714.010067e-08
1.238121.5746824.241850e-08
1.244591.5745934.474844e-08
1.251091.5745044.709056e-08
1.257631.5744144.944491e-08
1.26421.5743245.181157e-08
1.27081.5742345.419059e-08
1.277441.5741435.658204e-08
1.284121.5740525.898599e-08
1.290831.573966.140250e-08
1.297571.5738686.383164e-08
1.304351.5737766.627347e-08
1.311171.5736836.872806e-08
1.318021.573597.119547e-08
1.324911.5734967.367578e-08
1.331831.5734027.616905e-08
1.338791.5733077.867534e-08
1.345781.5732128.119474e-08
1.352821.5731178.372729e-08
1.359891.573028.627308e-08
1.366991.5729248.883217e-08
1.374131.5728279.140464e-08
1.381311.5727299.399054e-08
1.388531.5726319.658996e-08
1.395791.5725329.920296e-08
1.41.5724751.007200e-07
1.403081.5724331.003488e-07
1.410411.5723339.946551e-08
1.417781.5722329.857760e-08
1.425191.5721319.768506e-08
1.432641.5720299.678785e-08
1.440121.5719279.588595e-08
1.447651.5718249.497934e-08
1.455211.571729.406799e-08
1.462821.5716169.315188e-08
1.470461.5715119.223099e-08
1.478141.5714059.130528e-08
1.485871.5712989.037473e-08
1.493631.5711918.943932e-08
1.501441.5710838.849903e-08
1.509281.5709758.755382e-08
1.517171.5708658.660367e-08
1.525091.5707558.564856e-08
1.533061.5706448.468846e-08
1.541071.5705328.372334e-08
1.549131.570428.275317e-08
1.557221.5703068.177794e-08
1.565361.5701928.079761e-08
1.573541.5700777.981216e-08
1.581761.5699617.882156e-08
1.590021.5698447.782579e-08
1.598331.5697267.682481e-08
1.61.5697027.662400e-08
1.606681.5696077.935867e-08
1.615081.5694888.279302e-08
1.623521.5693678.624532e-08
1.6321.5692468.971566e-08
1.640531.5691239.320413e-08
1.64911.5699.671083e-08
1.657721.5688751.002358e-07
1.666381.568751.037793e-07
1.675091.5686231.073412e-07
1.683841.5684961.109218e-07
1.692641.5683671.145211e-07
1.701481.5682371.181392e-07
1.710371.5681061.217762e-07
1.719311.5679741.254322e-07
1.72831.5678411.291073e-07
1.737331.5677071.328016e-07
1.74641.5675721.365152e-07
1.755531.5674351.402482e-07
1.76471.5672971.440007e-07
1.773921.5671581.477728e-07
1.783191.5670181.515647e-07
1.792511.5668761.553763e-07
1.81.5667621.584400e-07
1.801881.5667341.602758e-07
1.811291.566591.694844e-07
1.820761.5664441.787411e-07
1.830271.5662981.880462e-07
1.839831.566151.973998e-07
1.849451.5662.068024e-07
1.859111.5658492.162541e-07
1.868831.5656972.257551e-07
1.878591.5655442.353059e-07
1.888411.5653892.449065e-07
1.898271.5652322.545573e-07
1.908191.5650742.642585e-07
1.918161.5649152.740104e-07
1.928191.5647542.838132e-07
1.938261.5645912.936673e-07
1.948391.5644273.035729e-07
1.958571.5642613.135302e-07
1.96881.5640943.235396e-07
1.979091.5639253.336013e-07
1.989431.5637543.437155e-07
1.999831.5635823.538826e-07
21.5635793.540500e-07
2.010281.5634083.972886e-07
2.020781.5632324.414771e-07
2.031341.5630544.858965e-07
2.041961.5628755.305479e-07
2.052631.5626945.754327e-07
2.063351.5625116.205520e-07
2.074131.5623266.659071e-07
2.084971.562147.114991e-07
2.095861.5619517.573294e-07
2.106821.5617618.033992e-07
2.117821.5615698.497097e-07
2.128891.5613748.962622e-07
2.140011.5611789.430579e-07
2.15121.5609799.900981e-07
2.162441.5607791.037384e-06
2.173741.5605761.084917e-06
2.18511.5603721.132699e-06
2.196511.5601651.180730e-06
2.21.5601021.195400e-06
2.207991.5599561.308423e-06
2.219531.5597451.471623e-06
2.231121.5595311.635677e-06
2.242781.5593161.800587e-06
2.25451.5590981.966359e-06
2.266281.5588782.132998e-06
2.278121.5586552.300507e-06
2.290031.558432.468891e-06
2.301991.5582022.638155e-06
2.314021.5579732.808304e-06
2.326111.557742.979341e-06
2.338271.5575053.151273e-06
2.350491.5572683.324103e-06
2.362771.5570283.497836e-06
2.375111.5567853.672476e-06
2.387521.556543.848029e-06
2.41.5562924.024500e-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
—