Optical constants

Refractive index of S-BAL3 (OHARA)

S-BAL3: n,k 0.33–2.4 µm

Data
formula 2 + tabulated k
Range
0.33–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.33–2.4 µm
Refractive index n
1.57135
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.46914
Permittivity ε2
2.94199e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
52.952
Chromatic dispersion dn/dλ
-0.0554208 µm⁻¹
Group index ng
1.60391
Group velocity dispersion
100.505 fs²/mm
Dispersion parameter D
-548.31 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-BAL3 (OHARA): S-BAL3
ohara_s_bal3 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal3.range_nm)  # (330, 2400) nm
eps = ohara_s_bal3.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=1.2936689λ2λ2−0.00800367962+0.132440252λ2λ2−0.0354711196+1.10197293λ2λ2−134.517431

Valid from 0.33 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.2936689
C30.00800367962
C40.132440252
C50.0354711196
C61.10197293
C7134.517431

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -5.7e-06 1.05e-08 -3.78e-11 4.4e-07 5.55e-10 0.262
nd
1.571351
Vd
52.952106
glass code
571530
density
value: 2980
thermal expansion
value: 9.5e-06, temperature range: 243 343; value: 1.11e-05, temperature range: 293 573
dPgF
-0.0005
resistance
acid: 1.2; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -2.04e-06 K⁻¹ at 633 nm, dn/dT = -2.48e-06 K⁻¹ at 1310 nm, dn/dT = -2.51e-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 425 wavelengths, the same grid as the API and the library
S-BAL3 (OHARA), S-BAL3: n and k versus wavelength
λ (µm)nk
0.331.6099121.209300e-05
0.3316451.6092781.070317e-05
0.3332981.6086549.306415e-06
0.334961.6080397.902696e-06
0.336631.6074336.491979e-06
0.3383081.6068355.074229e-06
0.3399941.6062463.649411e-06
0.341.6062443.644700e-06
0.3416891.6056653.246386e-06
0.3433931.6050932.844765e-06
0.3451051.6045282.441142e-06
0.3468251.6039712.035507e-06
0.3485541.6034221.627850e-06
0.351.6029711.286900e-06
0.3502921.6028811.263944e-06
0.3520381.6023471.126442e-06
0.3537931.601829.882548e-07
0.3555561.6013018.493787e-07
0.3573291.6007887.098102e-07
0.359111.6002825.695460e-07
0.361.6000334.994900e-07
0.3609011.5997834.743224e-07
0.36271.5992914.240400e-07
0.3645081.5988053.735069e-07
0.3663251.5983263.227219e-07
0.3681511.5978532.716838e-07
0.3699861.5973862.203912e-07
0.371.5973832.200100e-07
0.3718311.5969252.006036e-07
0.3736841.5964711.809551e-07
0.3755471.5960221.612086e-07
0.3774191.5955791.413638e-07
0.3793011.5951411.214200e-07
0.381.5949811.140100e-07
0.3811921.594711.082724e-07
0.3830921.5942839.912395e-08
0.3850021.5938638.992994e-08
0.3869211.5934478.069009e-08
0.388851.5930377.140418e-08
0.391.5927956.586800e-08
0.3907891.5926316.370434e-08
0.3927371.5922315.835865e-08
0.3946941.5918365.298632e-08
0.3966621.5914464.758720e-08
0.398641.5910614.216116e-08
0.41.5907993.842800e-08
0.4006271.590683.785404e-08
0.4026241.5903043.602522e-08
0.4046311.5899333.418729e-08
0.4066481.5895663.234019e-08
0.4086751.5892033.048388e-08
0.4107131.5888452.861832e-08
0.412761.5884922.674346e-08
0.4148181.5881422.485925e-08
0.4168861.5877972.296565e-08
0.4189641.5874562.106261e-08
0.421.5872882.011400e-08
0.4210531.5871192.016442e-08
0.4231521.5867862.026496e-08
0.4252611.5864572.036601e-08
0.4273811.5861322.046756e-08
0.4295121.585812.056961e-08
0.4316531.5854932.067217e-08
0.4338051.5851792.077525e-08
0.4359671.5848692.087883e-08
0.4381411.5845622.098294e-08
0.441.5843042.107200e-08
0.4403251.5842592.102777e-08
0.442521.5839592.072891e-08
0.4447261.5836632.042856e-08
0.4469431.5833712.012671e-08
0.4491711.5830811.982336e-08
0.451411.5827951.951850e-08
0.4536611.5825121.921211e-08
0.4559221.5822331.890420e-08
0.4581951.5819561.859475e-08
0.461.581741.834900e-08
0.4604791.5816831.827619e-08
0.4627751.5814131.792738e-08
0.4650821.5811461.757683e-08
0.46741.5808821.722454e-08
0.469731.580621.687049e-08
0.4720721.5803621.651467e-08
0.4744251.5801071.615708e-08
0.476791.5798541.579770e-08
0.4791671.5796041.543654e-08
0.481.5795181.531000e-08
0.4815561.5793571.504899e-08
0.4839571.5791131.464628e-08
0.4863691.5788711.424157e-08
0.4887941.5786321.383484e-08
0.4912311.5783951.342608e-08
0.4936791.5781621.301529e-08
0.496141.577931.260244e-08
0.4986141.5777011.218754e-08
0.51.5775751.195500e-08
0.5010991.5774751.188480e-08
0.5035971.5772511.172529e-08
0.5061081.5770291.156498e-08
0.5086311.576811.140388e-08
0.5111671.5765931.124197e-08
0.5137151.5763791.107925e-08
0.5162761.5761671.091573e-08
0.5188491.5759561.075138e-08
0.5214361.5757491.058622e-08
0.5240351.5755431.042024e-08
0.5266481.5753391.025343e-08
0.5292731.5751381.008578e-08
0.5319121.5749399.917305e-09
0.5345631.5747429.747986e-09
0.5372281.5745469.577823e-09
0.5399061.5743539.406812e-09
0.5425981.5741629.234948e-09
0.5453031.5739739.062228e-09
0.5480211.5737858.888646e-09
0.551.5736518.762300e-09
0.5507531.57368.774301e-09
0.5534991.5734178.818044e-09
0.5562581.5732358.862005e-09
0.5590311.5730558.906185e-09
0.5618181.5728778.950585e-09
0.5646191.5727018.995206e-09
0.5674331.5725269.040050e-09
0.5702621.5723549.085118e-09
0.5731051.5721839.130410e-09
0.5759621.5720139.175928e-09
0.5788331.5718469.221673e-09
0.5817191.571689.267645e-09
0.5846191.5715159.313847e-09
0.5875331.5713529.360280e-09
0.5904621.5711919.406944e-09
0.5934061.5710329.453840e-09
0.5963641.5708749.500970e-09
0.5993371.5707179.548336e-09
0.61.5706829.558900e-09
0.6023251.5705629.595914e-09
0.6053271.5704089.643722e-09
0.6083451.5702569.691769e-09
0.6113781.5701069.740056e-09
0.6144261.5699569.788583e-09
0.6174891.5698099.837352e-09
0.6205671.5696629.886364e-09
0.623661.5695179.935621e-09
0.6267691.5693739.985123e-09
0.6298941.5692311.003487e-08
0.6330341.569091.008487e-08
0.636191.568951.013511e-08
0.6393611.5688111.018561e-08
0.6425491.5686741.023636e-08
0.6457521.5685381.028736e-08
0.6489711.5684031.033862e-08
0.651.5683611.035500e-08
0.6522061.568271.039017e-08
0.6554581.5681371.044199e-08
0.6587251.5680061.049408e-08
0.6620091.5678761.054642e-08
0.6653091.5677471.059903e-08
0.6686261.567621.065190e-08
0.6719591.5674931.070503e-08
0.6753091.5673671.075842e-08
0.6786751.5672431.081209e-08
0.6820591.567121.086601e-08
0.6854591.5669971.092021e-08
0.6888761.5668761.097468e-08
0.692311.5667561.102942e-08
0.6957611.5666361.108444e-08
0.699231.5665181.113972e-08
0.71.5664921.115200e-08
0.7027161.5664011.119526e-08
0.7062191.5662851.125106e-08
0.7097391.5661691.130715e-08
0.7132771.5660551.136351e-08
0.7168331.5659411.142015e-08
0.7204071.5658291.147708e-08
0.7239981.5657171.153429e-08
0.7276071.5656071.159179e-08
0.7312351.5654971.164957e-08
0.734881.5653881.170764e-08
0.7385431.565281.176600e-08
0.7422251.5651721.182465e-08
0.7459251.5650661.188359e-08
0.7496441.564961.194283e-08
0.7533811.5648551.200236e-08
0.7571371.5647511.206219e-08
0.7609111.5646481.212231e-08
0.7647041.5645451.218274e-08
0.7685161.5644441.224347e-08
0.7723481.5643431.230450e-08
0.7761981.5642421.236583e-08
0.7800671.5641431.242747e-08
0.7839561.5640441.248942e-08
0.7878641.5639461.255168e-08
0.7917921.5638481.261424e-08
0.7957391.5637511.267712e-08
0.7997061.5636551.274031e-08
0.81.5636481.274500e-08
0.8036931.563561.280382e-08
0.8076991.5634651.286765e-08
0.8117261.5633711.293179e-08
0.8157721.5632771.299625e-08
0.8198391.5631841.306103e-08
0.8239261.5630921.312614e-08
0.8280331.5631.319157e-08
0.8321611.5629091.325733e-08
0.836311.5628181.332341e-08
0.8404791.5627281.338983e-08
0.8446691.5626391.345657e-08
0.8488791.562551.352365e-08
0.8531111.5624611.359106e-08
0.8573641.5623731.365881e-08
0.8616381.5622861.372690e-08
0.8659341.5621991.379532e-08
0.870251.5621131.386409e-08
0.8745891.5620271.393320e-08
0.8789491.5619411.400265e-08
0.883331.5618561.407245e-08
0.8877341.5617721.414260e-08
0.8921591.5616881.421310e-08
0.8966071.5616041.428395e-08
0.91.5615411.433800e-08
0.9010771.5615211.444104e-08
0.9055691.5614381.487097e-08
0.9100831.5613551.530304e-08
0.914621.5612731.573727e-08
0.9191791.5611921.617366e-08
0.9237621.5611111.661222e-08
0.9283671.561031.705298e-08
0.9329951.5609491.749593e-08
0.9376461.5608691.794108e-08
0.942321.5607891.838846e-08
0.9470181.560711.883807e-08
0.9517391.5606311.928992e-08
0.9564831.5605521.974402e-08
0.9612521.5604742.020038e-08
0.9660441.5603962.065902e-08
0.9708591.5603182.111995e-08
0.9756991.560242.158318e-08
0.9805631.5601632.204871e-08
0.9854521.5600862.251656e-08
0.9903641.5600092.298675e-08
0.9953011.5599322.345928e-08
11.559862.390900e-08
1.000261.5598562.392789e-08
1.005251.559782.428604e-08
1.010261.5597042.464598e-08
1.01531.5596292.500771e-08
1.020361.5595532.537124e-08
1.025451.5594782.573659e-08
1.030561.5594032.610376e-08
1.035691.5593292.647276e-08
1.040861.5592542.684360e-08
1.046051.559182.721629e-08
1.051261.5591052.759083e-08
1.05651.5590312.796724e-08
1.061771.5589572.834553e-08
1.067061.5588842.872571e-08
1.072381.558812.910778e-08
1.077731.5587372.949175e-08
1.08311.5586632.987764e-08
1.08851.558593.026545e-08
1.093931.5585173.065520e-08
1.099381.5584443.104689e-08
1.104861.5583713.144053e-08
1.110371.5582983.183613e-08
1.11591.5582253.223371e-08
1.121471.5581523.263327e-08
1.127061.5580793.303482e-08
1.132671.5580073.343837e-08
1.138321.5579343.384393e-08
1.1441.5578623.425152e-08
1.14971.5577893.466113e-08
1.155431.5577163.507279e-08
1.161191.5576443.548650e-08
1.166981.5575713.590228e-08
1.17281.5574993.632012e-08
1.178641.5574263.674005e-08
1.184521.5573543.716208e-08
1.190421.5572813.758620e-08
1.196361.5572093.801244e-08
1.21.5571643.827400e-08
1.202321.5571363.899914e-08
1.208321.5570634.087057e-08
1.214341.556994.275132e-08
1.220391.5569184.464146e-08
1.226481.5568454.654101e-08
1.232591.5567724.845004e-08
1.238741.5566995.036858e-08
1.244911.5566255.229669e-08
1.251121.5565525.423441e-08
1.257351.5564795.618179e-08
1.263621.5564055.813888e-08
1.269921.5563326.010572e-08
1.276251.5562586.208237e-08
1.282611.5561846.406887e-08
1.289011.556116.606528e-08
1.295431.5560366.807164e-08
1.301891.5559617.008799e-08
1.308381.5558877.211441e-08
1.314911.5558127.415092e-08
1.321461.5557377.619759e-08
1.328051.5556627.825445e-08
1.334671.5555878.032158e-08
1.341321.5555118.239900e-08
1.348011.5554358.448679e-08
1.354731.5553598.658498e-08
1.361481.5552838.869363e-08
1.368271.5552079.081279e-08
1.375091.555139.294252e-08
1.381951.5550539.508287e-08
1.388831.5549769.723388e-08
1.395761.5548989.939562e-08
1.41.5548511.007200e-07
1.402721.554821.010900e-07
1.409711.5547421.020424e-07
1.416741.5546641.029995e-07
1.42381.5545851.039615e-07
1.43091.5545061.049282e-07
1.438031.5544271.058997e-07
1.44521.5543471.068761e-07
1.45241.5542671.078574e-07
1.459641.5541861.088435e-07
1.466921.5541051.098346e-07
1.474231.5540241.108306e-07
1.481581.5539431.118316e-07
1.488971.5538611.128375e-07
1.496391.5537781.138485e-07
1.503851.5536961.148645e-07
1.511351.5536131.158856e-07
1.518881.5535291.169118e-07
1.526451.5534451.179431e-07
1.534061.553361.189795e-07
1.541711.5532751.200211e-07
1.54941.553191.210679e-07
1.557121.5531041.221199e-07
1.564881.5530181.231771e-07
1.572681.5529311.242396e-07
1.580521.5528441.253075e-07
1.58841.5527561.263806e-07
1.596321.5526671.274591e-07
1.61.5526261.279600e-07
1.604281.5525791.339272e-07
1.612281.5524891.450770e-07
1.620321.5523991.562824e-07
1.628391.5523091.675436e-07
1.636511.5522181.788610e-07
1.644671.5521261.902348e-07
1.652871.5520342.016654e-07
1.661111.5519412.131529e-07
1.669391.5518472.246976e-07
1.677711.5517532.362999e-07
1.686071.5516582.479601e-07
1.694481.5515632.596784e-07
1.702931.5514672.714551e-07
1.711421.551372.832905e-07
1.719951.5512732.951849e-07
1.728521.5511753.071386e-07
1.737141.5510763.191519e-07
1.74581.5509773.312251e-07
1.75451.5508763.433584e-07
1.763251.5507753.555523e-07
1.772041.5506743.678069e-07
1.780871.5505713.801227e-07
1.789751.5504683.924998e-07
1.798671.5503644.049386e-07
1.81.5503494.067900e-07
1.807641.550264.256407e-07
1.816651.5501544.478789e-07
1.825711.5500484.702280e-07
1.834811.5499414.926884e-07
1.843951.5498335.152609e-07
1.853151.5497245.379458e-07
1.862391.5496145.607439e-07
1.871671.5495035.836556e-07
1.8811.5493926.066815e-07
1.890381.549286.298222e-07
1.89981.5491666.530782e-07
1.909271.5490526.764502e-07
1.918791.5489376.999388e-07
1.928351.5488217.235444e-07
1.937971.5487047.472676e-07
1.947631.5485867.711092e-07
1.957341.5484677.950696e-07
1.96711.5483478.191494e-07
1.97691.5482268.433493e-07
1.986761.5481048.676698e-07
1.996661.5479818.921116e-07
21.5479399.003500e-07
2.006621.5478569.445947e-07
2.016621.5477311.011499e-06
2.026671.5476051.078737e-06
2.036771.5474771.146310e-06
2.046931.5473491.214220e-06
2.057131.5472191.282468e-06
2.067391.5470881.351057e-06
2.077691.5469561.419988e-06
2.088051.5468231.489262e-06
2.098461.5466891.558882e-06
2.108921.5465531.628848e-06
2.119441.5464161.699164e-06
2.131.5462781.769830e-06
2.140621.5461381.840848e-06
2.151291.5459981.912220e-06
2.162021.5458561.983948e-06
2.172791.5457122.056034e-06
2.183621.5455682.128479e-06
2.194511.5454222.201285e-06
2.21.5453482.238000e-06
2.205451.5452742.273990e-06
2.216451.5451262.346587e-06
2.227491.5449762.419545e-06
2.23861.5448242.492867e-06
2.249761.5446712.566555e-06
2.260971.5445162.640610e-06
2.272251.544362.715034e-06
2.283571.5442032.789830e-06
2.294961.5440442.864998e-06
2.30641.5438832.940541e-06
2.317891.5437213.016460e-06
2.329451.5435583.092758e-06
2.341061.5433923.169436e-06
2.352731.5432253.246497e-06
2.364461.5430573.323942e-06
2.376251.5428873.401773e-06
2.38811.5427153.479991e-06
2.41.5425413.558600e-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
—