Optical constants

Refractive index of S-BAL41 (OHARA)

S-BAL41: 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
1.56384
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.44559
Permittivity ε2
2.58793e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
60.667
Chromatic dispersion dn/dλ
-0.0480836 µm⁻¹
Group index ng
1.59209
Group velocity dispersion
83.1215 fs²/mm
Dispersion parameter D
-453.472 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-BAL41 (OHARA): S-BAL41
ohara_s_bal41 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL41", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal41.range_nm)  # (300, 2400) nm
eps = ohara_s_bal41.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=1.243442λ2λ2−0.0116396708+0.166301104λ2λ2+0.00890464938+1.10586114λ2λ2−114.11122

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.243442
C30.0116396708
C40.166301104
C5-0.00890464938
C61.10586114
C7114.11122

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.27e-06 1.2e-08 -4.09e-11 3.6e-07 6.17e-10 0.254
nd
1.563839
Vd
60.666575
glass code
564607
density
value: 2780
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
-0.0031
resistance
acid: 51.2; climatic: 2.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.08e-06 K⁻¹ at 633 nm, dn/dT = 6.73e-07 K⁻¹ at 1310 nm, dn/dT = 6.41e-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-BAL41 (OHARA), S-BAL41: n and k versus wavelength
λ (µm)nk
0.31.6058027.151800e-06
0.3015681.6051596.566798e-06
0.3031431.6045255.978739e-06
0.3047271.6038995.387608e-06
0.306321.6032814.793388e-06
0.307921.6026714.196063e-06
0.3095291.602073.595616e-06
0.311.6018963.419900e-06
0.3111471.6014763.224397e-06
0.3127721.600892.947163e-06
0.3144071.6003112.668480e-06
0.3160491.5997412.388342e-06
0.3177011.5991772.106739e-06
0.3193611.5986211.823665e-06
0.321.5984091.714700e-06
0.321031.5980721.626965e-06
0.3227071.5975291.484040e-06
0.3243931.5969941.340369e-06
0.3260881.5964661.195948e-06
0.3277921.5959441.050771e-06
0.3295051.5954299.048360e-07
0.331.5952828.626700e-07
0.3312271.5949218.107802e-07
0.3329581.5944197.375786e-07
0.3346971.5939236.639945e-07
0.3364461.5934345.900259e-07
0.3382041.5929515.156708e-07
0.3399711.5924734.409272e-07
0.341.5924664.397200e-07
0.3417481.5920024.008155e-07
0.3435341.5915373.610691e-07
0.3453291.5910773.211150e-07
0.3471331.5906232.809521e-07
0.3489471.5901752.405794e-07
0.351.5899182.171400e-07
0.350771.5897322.094228e-07
0.3526031.5892951.910594e-07
0.3544461.5888631.726001e-07
0.3562981.5884361.540443e-07
0.3581591.5880151.353915e-07
0.361.5876051.169500e-07
0.3600311.5875981.167914e-07
0.3619121.5871871.071122e-07
0.3638031.5867819.738247e-08
0.3657041.586388.760185e-08
0.3676151.5859837.777013e-08
0.3695361.5855926.788703e-08
0.371.5854986.549900e-08
0.3714671.5852056.259537e-08
0.3734081.5848225.875296e-08
0.3753591.5844455.489048e-08
0.377321.5840725.100781e-08
0.3792921.5837034.710486e-08
0.381.5835724.570300e-08
0.3812741.5833394.385455e-08
0.3832661.5829794.096340e-08
0.3852691.5826233.805715e-08
0.3872821.5822713.513571e-08
0.3893051.5819243.219901e-08
0.391.5818063.119100e-08
0.391341.5815813.000799e-08
0.3933841.5812422.820219e-08
0.395441.5809072.638695e-08
0.3975061.5805752.456223e-08
0.3995831.5802482.272798e-08
0.41.5801832.236000e-08
0.4016711.5799242.217232e-08
0.403771.5796042.193662e-08
0.405881.5792882.169969e-08
0.4080011.5789762.146152e-08
0.4101331.5786672.122211e-08
0.4122761.5783622.098145e-08
0.414431.578062.073953e-08
0.4165951.5777622.049634e-08
0.4187721.5774672.025189e-08
0.421.5773032.011400e-08
0.420961.5771752.016000e-08
0.423161.5768872.026536e-08
0.4253711.5766022.037127e-08
0.4275941.5763212.047774e-08
0.4298281.5760422.058476e-08
0.4320741.5757672.069234e-08
0.4343321.5754952.080049e-08
0.4366011.5752262.090919e-08
0.4388821.5749592.101847e-08
0.441.5748312.107200e-08
0.4411761.5746962.091192e-08
0.4434811.5744362.059806e-08
0.4457981.5741792.028256e-08
0.4481281.5739241.996542e-08
0.4504691.5736731.964661e-08
0.4528231.5734241.932614e-08
0.4551891.5731781.900399e-08
0.4575681.5729351.868016e-08
0.4599591.5726941.835464e-08
0.461.572691.834900e-08
0.4623621.5724561.753732e-08
0.4647781.5722211.670708e-08
0.4672061.5719881.587250e-08
0.4696481.5717571.503356e-08
0.4721021.571531.419023e-08
0.4745691.5713041.334250e-08
0.4770481.5710811.249034e-08
0.4795411.5708611.163373e-08
0.481.5708211.147600e-08
0.4820471.5706431.111677e-08
0.4845661.5704271.067468e-08
0.4870981.5702141.023028e-08
0.4896431.5700029.783559e-09
0.4922011.5697949.334504e-09
0.4947731.5695878.883103e-09
0.4973581.5693828.429342e-09
0.4999571.569187.973211e-09
0.51.5691777.965700e-09
0.502571.568987.781372e-09
0.5051961.5687827.592996e-09
0.5078351.5685867.403635e-09
0.5104891.5683927.213284e-09
0.5131561.56827.021939e-09
0.5158381.568016.829594e-09
0.5185331.5678226.636244e-09
0.5212431.5676366.441884e-09
0.5239661.5674516.246508e-09
0.5267041.5672696.050111e-09
0.5294561.5670895.852688e-09
0.5322231.566915.654234e-09
0.5350041.5667335.454742e-09
0.5377991.5665585.254208e-09
0.5406091.5663855.052626e-09
0.5434341.5662144.849991e-09
0.5462741.5660444.646297e-09
0.5491281.5658764.441539e-09
0.551.5658254.379000e-09
0.5519981.565714.585938e-09
0.5548821.5655454.884747e-09
0.5577811.5653825.185118e-09
0.5606961.565225.487059e-09
0.5636261.5650615.790577e-09
0.5665711.5649026.095681e-09
0.5695311.5647456.402379e-09
0.5725071.564596.710680e-09
0.5754981.5644367.020592e-09
0.5785061.5642847.332123e-09
0.5815281.5641337.645282e-09
0.5845671.5639847.960077e-09
0.5876221.5638368.276518e-09
0.5906921.5636898.594611e-09
0.5937791.5635448.914367e-09
0.5968811.5634019.235794e-09
0.61.5632589.558900e-09
0.6031351.5631179.933995e-09
0.6062871.5629771.031105e-08
0.6094551.5628391.069007e-08
0.6126391.5627011.107108e-08
0.615841.5625651.145408e-08
0.6190581.5624311.183907e-08
0.6222931.5622971.222608e-08
0.6255451.5621651.261511e-08
0.6288131.5620341.300618e-08
0.6320991.5619041.339929e-08
0.6354021.5617751.379445e-08
0.6387221.5616471.419167e-08
0.6420591.561521.459098e-08
0.6454141.5613951.499236e-08
0.6487871.5612711.539585e-08
0.651.5612261.554100e-08
0.6521771.5611471.534992e-08
0.6555851.5610251.505078e-08
0.659011.5609041.475008e-08
0.6624541.5607841.444781e-08
0.6659151.5606641.414396e-08
0.6693951.5605461.383853e-08
0.6728921.5604291.353150e-08
0.6764091.5603131.322286e-08
0.6799431.5601971.291261e-08
0.6834961.5600831.260074e-08
0.6870671.559971.228724e-08
0.6906571.5598571.197210e-08
0.6942661.5597451.165532e-08
0.6978941.5596351.133688e-08
0.71.5595711.115200e-08
0.7015411.5595251.117654e-08
0.7052061.5594161.123494e-08
0.7088911.5593081.129364e-08
0.7125951.55921.135264e-08
0.7163191.5590941.141196e-08
0.7200621.5589881.147158e-08
0.7238241.5588831.153152e-08
0.7276061.5587791.159177e-08
0.7314081.5586751.165233e-08
0.735231.5585721.171321e-08
0.7390721.558471.177441e-08
0.7429341.5583691.183593e-08
0.7468161.5582691.189777e-08
0.7507181.5581691.195994e-08
0.7546411.558071.202242e-08
0.7585841.5579711.208524e-08
0.7625471.5578731.214838e-08
0.7665321.5577761.221185e-08
0.7705371.557681.227566e-08
0.7745641.5575841.233980e-08
0.7786111.5574891.240427e-08
0.7826791.5573941.246908e-08
0.7867691.55731.253423e-08
0.790881.5572061.259972e-08
0.7950121.5571131.266555e-08
0.7991671.5570211.273172e-08
0.81.5570031.274500e-08
0.8033421.5569291.279825e-08
0.807541.5568381.286511e-08
0.811761.5567471.293233e-08
0.8160011.5566571.299990e-08
0.8202651.5565671.306782e-08
0.8245511.5564781.313610e-08
0.828861.5563891.320473e-08
0.8331911.5563011.327373e-08
0.8375441.5562131.334308e-08
0.8419211.5561261.341280e-08
0.846321.5560391.348288e-08
0.8507421.5559521.355332e-08
0.8551871.5558661.362414e-08
0.8596561.555781.369532e-08
0.8641481.5556951.376688e-08
0.8686631.555611.383881e-08
0.8732021.5555261.391111e-08
0.8777651.5554421.398380e-08
0.8823511.5553581.405686e-08
0.8869621.5552741.413030e-08
0.8915971.5551911.420413e-08
0.8962551.5551091.427835e-08
0.91.5550431.433800e-08
0.9009391.5550261.442783e-08
0.9056461.5549441.487839e-08
0.9103781.5548621.533131e-08
0.9151351.5547811.578660e-08
0.9199171.5546991.624427e-08
0.9247241.5546191.670432e-08
0.9295561.5545381.716678e-08
0.9344131.5544571.763166e-08
0.9392951.5543771.809897e-08
0.9442041.5542971.856872e-08
0.9491371.5542171.904092e-08
0.9540971.5541381.951559e-08
0.9590821.5540591.999274e-08
0.9640931.553982.047239e-08
0.9691311.5539012.095454e-08
0.9741951.5538222.143921e-08
0.9792851.5537432.192641e-08
0.9844021.5536652.241616e-08
0.9895461.5535872.290846e-08
0.9947171.5535082.340334e-08
0.9999141.553432.390081e-08
11.5534292.390900e-08
1.005141.5533532.403188e-08
1.010391.5532752.415746e-08
1.015671.5531972.428369e-08
1.020981.553122.441058e-08
1.026311.5530422.453814e-08
1.031681.5529652.466636e-08
1.037071.5528882.479525e-08
1.042491.552812.492482e-08
1.047931.5527332.505506e-08
1.053411.5526562.518599e-08
1.058911.5525792.531760e-08
1.064451.5525022.544989e-08
1.070011.5524252.558288e-08
1.07561.5523482.571656e-08
1.081221.5522712.585094e-08
1.086871.5521942.598602e-08
1.092551.5521172.612181e-08
1.098261.552042.625831e-08
1.1041.5519622.639552e-08
1.109761.5518852.653345e-08
1.115561.5518082.667210e-08
1.121391.5517312.681147e-08
1.127251.5516532.695157e-08
1.133141.5515762.709241e-08
1.139061.5514982.723398e-08
1.145011.5514212.737628e-08
1.1511.5513432.751934e-08
1.157011.5512652.766314e-08
1.163061.5511872.780769e-08
1.169131.5511092.795300e-08
1.175241.5510312.809906e-08
1.181381.5509522.824589e-08
1.187561.5508742.839349e-08
1.193761.5507952.854186e-08
1.21.5507162.869100e-08
1.21.5507162.869100e-08
1.206271.5506373.236191e-08
1.212571.5505583.605199e-08
1.218911.5504783.976136e-08
1.225281.5503984.349012e-08
1.231681.5503184.723835e-08
1.238121.5502385.100617e-08
1.244591.5501585.479368e-08
1.251091.5500775.860098e-08
1.257631.5499966.242817e-08
1.26421.5499156.627537e-08
1.27081.5498337.014266e-08
1.277441.5497517.403016e-08
1.284121.5496697.793798e-08
1.290831.5495878.186621e-08
1.297571.5495048.581497e-08
1.304351.5494218.978436e-08
1.311171.5493389.377450e-08
1.318021.5492549.778548e-08
1.324911.549171.018174e-07
1.331831.5490851.058704e-07
1.338791.5491.099446e-07
1.345781.5489151.140401e-07
1.352821.5488291.181570e-07
1.359891.5487431.222954e-07
1.366991.5486571.264554e-07
1.374131.548571.306371e-07
1.381311.5484821.348407e-07
1.388531.5483941.390663e-07
1.395791.5483061.433139e-07
1.41.5482551.457800e-07
1.403081.5482171.449121e-07
1.410411.5481281.428468e-07
1.417781.5480381.407708e-07
1.425191.5479481.386839e-07
1.432641.5478571.365860e-07
1.440121.5477661.344773e-07
1.447651.5476741.323575e-07
1.455211.5475821.302266e-07
1.462821.5474891.280846e-07
1.470461.5473951.259314e-07
1.478141.5473011.237670e-07
1.485871.5472061.215912e-07
1.493631.5471111.194041e-07
1.501441.5470151.172056e-07
1.509281.5469181.149955e-07
1.517171.5468211.127739e-07
1.525091.5467231.105408e-07
1.533061.5466251.082959e-07
1.541071.5465261.060393e-07
1.549131.5464261.037709e-07
1.557221.5463251.014907e-07
1.565361.5462249.919853e-08
1.573541.5461229.689440e-08
1.581761.5460199.457823e-08
1.590021.5459169.224996e-08
1.598331.5458118.990952e-08
1.61.545798.944000e-08
1.606681.5457069.417292e-08
1.615081.54561.001168e-07
1.623521.5454941.060917e-07
1.6321.5453861.120979e-07
1.640531.5452781.181354e-07
1.64911.5451691.242045e-07
1.657721.5450591.303053e-07
1.666381.5449481.364380e-07
1.675091.5448361.426027e-07
1.683841.5447231.487997e-07
1.692641.544611.550290e-07
1.701481.5444951.612909e-07
1.710371.544381.675854e-07
1.719311.5442641.739129e-07
1.72831.5441461.802735e-07
1.737331.5440281.866672e-07
1.74641.5439091.930944e-07
1.755531.5437881.995552e-07
1.76471.5436672.060497e-07
1.773921.5435442.125782e-07
1.783191.5434212.191407e-07
1.792511.5432962.257376e-07
1.81.5431962.310400e-07
1.801881.5431712.332674e-07
1.811291.5430442.444400e-07
1.820761.5429162.556710e-07
1.830271.5427872.669606e-07
1.839831.5426572.783093e-07
1.849451.5425252.897172e-07
1.859111.5423933.011847e-07
1.868831.5422593.127122e-07
1.878591.5421243.242999e-07
1.888411.5419883.359482e-07
1.898271.541853.476573e-07
1.908191.5417123.594276e-07
1.918161.5415723.712594e-07
1.928191.541433.831530e-07
1.938261.5412873.951088e-07
1.948391.5411434.071271e-07
1.958571.5409984.192081e-07
1.96881.5408514.313523e-07
1.979091.5407034.435599e-07
1.989431.5405534.558313e-07
1.999831.5404024.681669e-07
21.5403994.683700e-07
2.010281.5402495.311314e-07
2.020781.5400955.952715e-07
2.031341.5399396.597468e-07
2.041961.5397827.245589e-07
2.052631.5396237.897097e-07
2.063351.5394638.552010e-07
2.074131.5393019.210344e-07
2.084971.5391389.872119e-07
2.095861.5389731.053735e-06
2.106821.5388061.120606e-06
2.117821.5386371.187826e-06
2.128891.5384671.255398e-06
2.140011.5382951.323322e-06
2.15121.5381211.391602e-06
2.162441.5379461.460238e-06
2.173741.5377681.529233e-06
2.18511.5375891.598588e-06
2.196511.5374081.668306e-06
2.21.5373531.689600e-06
2.207991.5372251.764267e-06
2.219531.537041.872083e-06
2.231121.5368531.980462e-06
2.242781.5366652.089407e-06
2.25451.5364742.198922e-06
2.266281.5362812.309009e-06
2.278121.5360862.419671e-06
2.290031.535892.530912e-06
2.301991.5356912.642733e-06
2.314021.5354892.755139e-06
2.326111.5352862.868133e-06
2.338271.5350812.981716e-06
2.350491.5348733.095894e-06
2.362771.5346633.210668e-06
2.375111.5344513.326041e-06
2.387521.5342363.442018e-06
2.41.534023.558600e-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
—