Optical constants

Refractive index of S-BAL22 (OHARA)

S-BAL22: 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
1.56873
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.46091
Permittivity ε2
2.93708e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
63.105
Chromatic dispersion dn/dλ
-0.0467057 µm⁻¹
Group index ng
1.59617
Group velocity dispersion
79.548 fs²/mm
Dispersion parameter D
-433.977 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

# S-BAL22 (OHARA): S-BAL22
ohara_s_bal22 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL22", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal22.range_nm)  # (300, 2400) nm
eps = ohara_s_bal22.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=1.16333541λ2λ2−0.0118079103+0.26332321λ2λ2+0.00438112893+1.12551059λ2λ2−106.905682

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.16333541
C30.0118079103
C40.26332321
C5-0.00438112893
C61.12551059
C7106.905682

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.07e-06 1.47e-08 -3.65e-11 3.9e-07 5.2e-10 0.186
nd
1.568729
Vd
63.104860
glass code
569631
glass status
special
density
value: 3050
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 7.5e-06, temperature range: 293 573
dPgF
-0.0023
resistance
acid: 51.2; climatic: 3.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 9.91e-07 K⁻¹ at 633 nm, dn/dT = 5.93e-07 K⁻¹ at 1310 nm, dn/dT = 5.60e-07 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
S-BAL22 (OHARA), S-BAL22: n and k versus wavelength
λ (µm)nk
0.31.6090882.646700e-06
0.3015681.6084722.456036e-06
0.3031431.6078642.264376e-06
0.3047271.6072642.071715e-06
0.306321.6066721.878047e-06
0.307921.6060871.683367e-06
0.3095291.6055111.487669e-06
0.311.6053441.430400e-06
0.3111471.6049411.354313e-06
0.3127721.6043791.246417e-06
0.3144071.6038251.137958e-06
0.3160491.6032771.028932e-06
0.3177011.6027379.193361e-07
0.3193611.6022048.091678e-07
0.321.6020017.667600e-07
0.321031.6016777.317516e-07
0.3227071.6011576.747214e-07
0.3243931.6006446.173933e-07
0.3260881.6001375.597656e-07
0.3277921.5996375.018367e-07
0.3295051.5991434.436052e-07
0.331.5990024.267800e-07
0.3312271.5986554.028208e-07
0.3329581.5981743.690212e-07
0.3346971.5976983.350450e-07
0.3364461.5972283.008912e-07
0.3382041.5967652.665590e-07
0.3399711.5963072.320474e-07
0.341.5962992.314900e-07
0.3417481.5958552.149759e-07
0.3435341.5954081.981045e-07
0.3453291.5949671.811449e-07
0.3471331.5945311.640967e-07
0.3489471.5941011.469595e-07
0.351.5938541.370100e-07
0.350771.5936761.327235e-07
0.3526031.5932561.225234e-07
0.3544461.5928411.122701e-07
0.3562981.5924321.019632e-07
0.3581591.5920279.160241e-08
0.361.5916348.135900e-08
0.3600311.5916288.126386e-08
0.3619121.5912337.545570e-08
0.3638031.5908436.961719e-08
0.3657041.5904576.374817e-08
0.3676151.5900775.784849e-08
0.3695361.58975.191798e-08
0.371.589615.048500e-08
0.3714671.5893294.843474e-08
0.3734081.5889624.572161e-08
0.3753591.5885994.299430e-08
0.377321.588244.025274e-08
0.3792921.5878863.749685e-08
0.381.587763.650700e-08
0.3812741.5875363.503214e-08
0.3832661.587193.272532e-08
0.3852691.5868483.040644e-08
0.3872821.586512.807545e-08
0.3893051.5861772.573228e-08
0.391.5860632.492800e-08
0.391341.5858472.415478e-08
0.3933841.5855212.297449e-08
0.395441.5851982.178804e-08
0.3975061.584882.059539e-08
0.3995831.5845651.939651e-08
0.41.5845021.915600e-08
0.4016711.5842541.923605e-08
0.403771.5839461.933659e-08
0.405881.5836421.943764e-08
0.4080011.5833421.953923e-08
0.4101331.5830441.964135e-08
0.4122761.5827511.974400e-08
0.414431.582461.984719e-08
0.4165951.5821731.995092e-08
0.4187721.581892.005519e-08
0.421.5817322.011400e-08
0.420961.5816092.016000e-08
0.423161.5813322.026536e-08
0.4253711.5810582.037127e-08
0.4275941.5807862.047774e-08
0.4298281.5805182.058476e-08
0.4320741.5802532.069234e-08
0.4343321.5799912.080049e-08
0.4366011.5797322.090919e-08
0.4388821.5794762.101847e-08
0.441.5793522.107200e-08
0.4411761.5792222.091192e-08
0.4434811.5789722.059806e-08
0.4457981.5787242.028256e-08
0.4481281.5784791.996542e-08
0.4504691.5782361.964661e-08
0.4528231.5779961.932614e-08
0.4551891.5777591.900399e-08
0.4575681.5775251.868016e-08
0.4599591.5772931.835464e-08
0.461.5772891.834900e-08
0.4623621.5770631.799010e-08
0.4647781.5768361.762300e-08
0.4672061.5766121.725398e-08
0.4696481.5763891.688303e-08
0.4721021.576171.651014e-08
0.4745691.5759521.613530e-08
0.4770481.5757371.575851e-08
0.4795411.5755241.537974e-08
0.481.5754861.531000e-08
0.4820471.5753141.496666e-08
0.4845661.5751061.454413e-08
0.4870981.57491.411939e-08
0.4896431.5746961.369243e-08
0.4922011.5744941.326325e-08
0.4947731.5742941.283182e-08
0.4973581.5740971.239813e-08
0.4999571.5739011.196218e-08
0.51.5738981.195500e-08
0.502571.5737081.179092e-08
0.5051961.5735161.162324e-08
0.5078351.5733271.145468e-08
0.5104891.5731391.128524e-08
0.5131561.5729541.111491e-08
0.5158381.572771.094370e-08
0.5185331.5725881.077159e-08
0.5212431.5724081.059858e-08
0.5239661.572231.042466e-08
0.5267041.5720541.024984e-08
0.5294561.5718791.007410e-08
0.5322231.5717079.897449e-09
0.5350041.5715369.719871e-09
0.5377991.5713669.541366e-09
0.5406091.5711989.361928e-09
0.5434341.5710329.181553e-09
0.5462741.5708689.000235e-09
0.5491281.5707058.817969e-09
0.551.5706568.762300e-09
0.5519981.5705448.794124e-09
0.5548821.5703848.840077e-09
0.5577811.5702268.886270e-09
0.5606961.570078.932705e-09
0.5636261.5699158.979382e-09
0.5665711.5697619.026303e-09
0.5695311.5696099.073469e-09
0.5725071.5694599.120881e-09
0.5754981.5693099.168542e-09
0.5785061.5691629.216451e-09
0.5815281.5690159.264611e-09
0.5845671.568879.313022e-09
0.5876221.5687269.361687e-09
0.5906921.5685849.410605e-09
0.5937791.5684439.459779e-09
0.5968811.5683039.509211e-09
0.61.5681659.558900e-09
0.6031351.5680289.608818e-09
0.6062871.5678929.658996e-09
0.6094551.5677579.709437e-09
0.6126391.5676239.760141e-09
0.615841.5674919.811111e-09
0.6190581.567369.862346e-09
0.6222931.567239.913850e-09
0.6255451.5671019.965622e-09
0.6288131.5669731.001766e-08
0.6320991.5668461.006998e-08
0.6354021.5667211.012257e-08
0.6387221.5665961.017543e-08
0.6420591.5664731.022857e-08
0.6454141.566351.028199e-08
0.6487871.5662291.033568e-08
0.651.5661861.035500e-08
0.6521771.5661091.038970e-08
0.6555851.5659891.044402e-08
0.659011.5658711.049862e-08
0.6624541.5657531.055351e-08
0.6659151.5656371.060869e-08
0.6693951.5655211.066415e-08
0.6728921.5654071.071991e-08
0.6764091.5652931.077595e-08
0.6799431.565181.083229e-08
0.6834961.5650681.088892e-08
0.6870671.5649571.094585e-08
0.6906571.5648471.100308e-08
0.6942661.5647381.106060e-08
0.6978941.5646291.111843e-08
0.71.5645671.115200e-08
0.7015411.5645211.107832e-08
0.7052061.5644141.090301e-08
0.7088911.5643081.072677e-08
0.7125951.5642031.054962e-08
0.7163191.5640981.037154e-08
0.7200621.5639941.019253e-08
0.7238241.5638911.001259e-08
0.7276061.5637899.831702e-09
0.7314081.5636879.649872e-09
0.735231.5635869.467091e-09
0.7390721.5634859.283356e-09
0.7429341.5633869.098660e-09
0.7468161.5632878.912999e-09
0.7507181.5631888.726368e-09
0.7546411.5630918.538762e-09
0.7585841.5629948.350176e-09
0.7625471.5628978.160604e-09
0.7665321.5628017.970042e-09
0.7705371.5627067.778484e-09
0.7745641.5626117.585925e-09
0.7786111.5625177.392360e-09
0.7826791.5624237.197783e-09
0.7867691.562337.002190e-09
0.790881.5622386.805575e-09
0.7950121.5621466.607932e-09
0.7991671.5620546.409257e-09
0.81.5620366.369400e-09
0.8033421.5619636.396013e-09
0.807541.5618736.429434e-09
0.811761.5617836.463031e-09
0.8160011.5616936.496803e-09
0.8202651.5616046.530751e-09
0.8245511.5615156.564877e-09
0.828861.5614276.599181e-09
0.8331911.5613396.633664e-09
0.8375441.5612526.668328e-09
0.8419211.5611656.703172e-09
0.846321.5610786.738199e-09
0.8507421.5609926.773409e-09
0.8551871.5609066.808803e-09
0.8596561.5608216.844381e-09
0.8641481.5607366.880146e-09
0.8686631.5606516.916097e-09
0.8732021.5605676.952236e-09
0.8777651.5604826.988565e-09
0.8823511.5603997.025083e-09
0.8869621.5603157.061791e-09
0.8915971.5602327.098692e-09
0.8962551.5601497.135785e-09
0.91.5600837.165600e-09
0.9009391.5600667.247865e-09
0.9056461.5599847.660507e-09
0.9103781.5599028.075305e-09
0.9151351.559828.492270e-09
0.9199171.5597388.911413e-09
0.9247241.5596579.332747e-09
0.9295561.5595769.756283e-09
0.9344131.5594951.018203e-08
0.9392951.5594141.061000e-08
0.9442041.5593331.104021e-08
0.9491371.5592531.147267e-08
0.9540971.5591731.190739e-08
0.9590821.5590931.234438e-08
0.9640931.5590131.278365e-08
0.9691311.5589331.322522e-08
0.9741951.5588531.366909e-08
0.9792851.5587741.411528e-08
0.9844021.5586941.456381e-08
0.9895461.5586151.501468e-08
0.9947171.5585361.546790e-08
0.9999141.5584571.592350e-08
11.5584551.593100e-08
1.005141.5583781.601289e-08
1.010391.5582991.609659e-08
1.015671.558221.618071e-08
1.020981.5581411.626528e-08
1.026311.5580621.635029e-08
1.031681.5579831.643575e-08
1.037071.5579041.652165e-08
1.042491.5578261.660800e-08
1.047931.5577471.669480e-08
1.053411.5576681.678206e-08
1.058911.5575891.686977e-08
1.064451.5575111.695794e-08
1.070011.5574321.704657e-08
1.07561.5573531.713566e-08
1.081221.5572741.722522e-08
1.086871.5571951.731525e-08
1.092551.5571161.740575e-08
1.098261.5570371.749672e-08
1.1041.5569571.758816e-08
1.109761.5568781.768008e-08
1.115561.5567991.777249e-08
1.121391.5567191.786537e-08
1.127251.556641.795875e-08
1.133141.556561.805260e-08
1.139061.556481.814695e-08
1.145011.55641.824180e-08
1.1511.5563191.833714e-08
1.157011.5562391.843297e-08
1.163061.5561581.852931e-08
1.169131.5560781.862615e-08
1.175241.5559971.872350e-08
1.181381.5559151.882135e-08
1.187561.5558341.891972e-08
1.193761.5557521.901860e-08
1.21.555671.911800e-08
1.21.555671.911800e-08
1.206271.5555882.308903e-08
1.212571.5555062.708082e-08
1.218911.5554233.109346e-08
1.225281.555343.512707e-08
1.231681.5552573.918175e-08
1.238121.5551744.325762e-08
1.244591.555094.735479e-08
1.251091.5550065.147337e-08
1.257631.5549215.561347e-08
1.26421.5548365.977520e-08
1.27081.5547516.395868e-08
1.277441.5546666.816402e-08
1.284121.554587.239133e-08
1.290831.5544947.664073e-08
1.297571.5544078.091233e-08
1.304351.554328.520625e-08
1.311171.5542338.952261e-08
1.318021.5541459.386153e-08
1.324911.5540579.822312e-08
1.331831.5539681.026075e-07
1.338791.5538791.070148e-07
1.345781.5537891.114451e-07
1.352821.5536991.158986e-07
1.359891.5536091.203753e-07
1.366991.5535181.248754e-07
1.374131.5534261.293991e-07
1.381311.5533341.339463e-07
1.388531.5532411.385174e-07
1.395791.5531481.431123e-07
1.41.5530941.457800e-07
1.403081.5530551.445174e-07
1.410411.5529611.415131e-07
1.417781.5528661.384930e-07
1.425191.552771.354572e-07
1.432641.5526741.324055e-07
1.440121.5525781.293379e-07
1.447651.5524811.262542e-07
1.455211.5523831.231544e-07
1.462821.5522851.200385e-07
1.470461.5521851.169062e-07
1.478141.5520861.137576e-07
1.485871.5519851.105925e-07
1.493631.5518841.074109e-07
1.501441.5517821.042127e-07
1.509281.551681.009977e-07
1.517171.5515779.776597e-08
1.525091.5514739.451734e-08
1.533061.5513689.125173e-08
1.541071.5512638.796906e-08
1.549131.5511568.466923e-08
1.557221.5510498.135216e-08
1.565361.5509417.801776e-08
1.573541.5508337.466594e-08
1.581761.5507237.129660e-08
1.590021.5506136.790966e-08
1.598331.5505026.450502e-08
1.61.5504796.382200e-08
1.606681.550396.746889e-08
1.615081.5502777.204887e-08
1.623521.5501637.665278e-08
1.6321.5500488.128074e-08
1.640531.5499338.593289e-08
1.64911.5498169.060935e-08
1.657721.5496989.531024e-08
1.666381.549581.000357e-07
1.675091.549461.047858e-07
1.683841.549341.095608e-07
1.692641.5492181.143607e-07
1.701481.5490961.191857e-07
1.710371.5489721.240359e-07
1.719311.5488471.289115e-07
1.72831.5487221.338125e-07
1.737331.5485951.387392e-07
1.74641.5484671.436915e-07
1.755531.5483381.486698e-07
1.76471.5482071.536741e-07
1.773921.5480761.587045e-07
1.783191.5479441.637612e-07
1.792511.547811.688443e-07
1.81.5477021.729300e-07
1.801881.5476751.750888e-07
1.811291.5475391.859173e-07
1.820761.5474011.968023e-07
1.830271.5472622.077442e-07
1.839831.5471222.187433e-07
1.849451.5469812.297999e-07
1.859111.5468392.409142e-07
1.868831.5466952.520866e-07
1.878591.5465492.633174e-07
1.888411.5464032.746069e-07
1.898271.5462542.859554e-07
1.908191.5461052.973631e-07
1.918161.5459543.088305e-07
1.928191.5458023.203578e-07
1.938261.5456483.319453e-07
1.948391.5454923.435934e-07
1.958571.5453353.553023e-07
1.96881.5451773.670725e-07
1.979091.5450173.789041e-07
1.989431.5448553.907975e-07
1.999831.5446924.027531e-07
21.5446894.029500e-07
2.010281.5445274.611797e-07
2.020781.5443615.206885e-07
2.031341.5441935.805083e-07
2.041961.5440236.406406e-07
2.052631.5438517.010871e-07
2.063351.5436787.618495e-07
2.074131.5435038.229294e-07
2.084971.5433268.843284e-07
2.095861.5431479.460483e-07
2.106821.5429671.008091e-06
2.117821.5427851.070457e-06
2.128891.54261.133150e-06
2.140011.5424141.196170e-06
2.15121.5422261.259519e-06
2.162441.5420361.323199e-06
2.173741.5418441.387212e-06
2.18511.541651.451560e-06
2.196511.5414531.516244e-06
2.21.5413931.536000e-06
2.207991.5412551.635416e-06
2.219531.5410551.778968e-06
2.231121.5408521.923271e-06
2.242781.5406482.068328e-06
2.25451.5404412.214142e-06
2.266281.5402322.360719e-06
2.278121.540022.508061e-06
2.290031.5398072.656173e-06
2.301991.5395912.805059e-06
2.314021.5393722.954724e-06
2.326111.5391523.105170e-06
2.338271.5389283.256402e-06
2.350491.5387033.408425e-06
2.362771.5384753.561242e-06
2.375111.5382443.714857e-06
2.387521.5380113.869275e-06
2.41.5377754.024500e-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
—