Optical constants

Refractive index of S-BAL11 (OHARA)

S-BAL11: n,k 0.32–2.4 µm

Data
formula 2 + tabulated k
Range
0.32–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.4 µm
Refractive index n
1.5725
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.47275
Permittivity ε2
1.47132e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
57.743
Chromatic dispersion dn/dλ
-0.051161 µm⁻¹
Group index ng
1.60256
Group velocity dispersion
90.0202 fs²/mm
Dispersion parameter D
-491.108 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-BAL11 (OHARA): S-BAL11
ohara_s_bal11 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal11.range_nm)  # (320, 2400) nm
eps = ohara_s_bal11.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=0.821314256λ2λ2−0.00351436131+0.612586478λ2λ2−0.0179762375+1.24859637λ2λ2−133.45667

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.821314256
C30.00351436131
C40.612586478
C50.0179762375
C61.24859637
C7133.45667

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.44e-06 1.26e-08 -4.45e-11 5.04e-07 6.25e-10 0.192
nd
1.572501
Vd
57.742980
glass code
573578
glass status
special
density
value: 3020
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 2.0; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.25e-06 K⁻¹ at 633 nm, dn/dT = 1.71e-06 K⁻¹ at 1310 nm, dn/dT = 1.66e-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 426 wavelengths, the same grid as the API and the library
S-BAL11 (OHARA), S-BAL11: n and k versus wavelength
λ (µm)nk
0.321.6101451.172700e-05
0.321621.6095551.043431e-05
0.3232481.6089739.135084e-06
0.3248851.6083997.829276e-06
0.326531.6078316.516857e-06
0.3281831.6072725.197793e-06
0.3298441.6067193.872052e-06
0.331.6066683.747700e-06
0.3315141.6061743.382770e-06
0.3331921.6056362.978240e-06
0.3348791.6051052.571661e-06
0.3365751.6045812.163024e-06
0.3382791.6040631.752318e-06
0.3399911.6035521.339534e-06
0.341.6035491.337400e-06
0.3417121.6030471.191539e-06
0.3434421.6025491.044182e-06
0.3451811.6020588.960784e-07
0.3469291.6015727.472253e-07
0.3486851.6010935.976187e-07
0.351.6007394.856100e-07
0.350451.6006194.728280e-07
0.3522251.6001524.224653e-07
0.3540081.599693.718477e-07
0.35581.5992343.209737e-07
0.3576011.5987842.698423e-07
0.3594121.5983392.184519e-07
0.361.5981972.017500e-07
0.3612311.59791.890753e-07
0.363061.5974671.702484e-07
0.3648981.5970381.513263e-07
0.3667451.5966151.323083e-07
0.3686021.5961971.131941e-07
0.371.5958879.880300e-08
0.3704681.5957849.674877e-08
0.3723441.5953768.851960e-08
0.3742291.5949738.024877e-08
0.3761231.5945757.193606e-08
0.3780281.5941826.358127e-08
0.3799411.5937935.518418e-08
0.381.5937825.492700e-08
0.3818651.5934095.108550e-08
0.3837981.593034.710320e-08
0.3857411.5926554.310073e-08
0.3876941.5922853.907801e-08
0.3896571.5919193.503492e-08
0.391.5918563.432800e-08
0.391631.5915583.237779e-08
0.3936121.59123.000492e-08
0.3956051.5908472.762003e-08
0.3976081.5904982.522306e-08
0.3996211.5901532.281396e-08
0.41.5900892.236000e-08
0.4016441.5898132.189915e-08
0.4036771.5894762.132909e-08
0.4057211.5891432.075615e-08
0.4077751.5888142.018030e-08
0.4098391.5884891.960154e-08
0.4119141.5881671.901985e-08
0.4141.5878491.843521e-08
0.4160961.5875351.784762e-08
0.4182021.5872251.725705e-08
0.421.5869641.675300e-08
0.4203191.5869181.670959e-08
0.4224471.5866141.642030e-08
0.4245861.5863141.612954e-08
0.4267351.5860171.583731e-08
0.4288961.5857241.554361e-08
0.4310671.5854341.524841e-08
0.433251.5851481.495172e-08
0.4354431.5848641.465353e-08
0.4376471.5845841.435383e-08
0.4398631.5843071.405261e-08
0.441.584291.403400e-08
0.442091.5840331.371674e-08
0.4443281.5837621.337699e-08
0.4465781.5834941.303552e-08
0.4488381.5832291.269232e-08
0.4511111.5829661.234738e-08
0.4533951.5827071.200070e-08
0.455691.5824511.165226e-08
0.4579971.5821971.130206e-08
0.461.581981.099800e-08
0.4603161.5819471.094511e-08
0.4626461.5816991.055466e-08
0.4649881.5814531.016223e-08
0.4673421.5812119.767819e-09
0.4697081.5809719.371408e-09
0.4720861.5807338.972991e-09
0.4744761.5804988.572557e-09
0.4768781.5802668.170096e-09
0.4792931.5800367.765596e-09
0.481.5799697.647100e-09
0.4817191.5798097.674488e-09
0.4841581.5795847.713337e-09
0.4866091.5793617.752384e-09
0.4890731.5791417.791628e-09
0.4915491.5789237.831071e-09
0.4940371.5787077.870713e-09
0.4965381.5784947.910556e-09
0.4990521.5782837.950601e-09
0.51.5782047.965700e-09
0.5015791.5780747.852454e-09
0.5041181.5778677.670298e-09
0.506671.5776637.487221e-09
0.5092351.577467.303216e-09
0.5118131.577267.118280e-09
0.5144051.5770626.932407e-09
0.5170091.5768666.745594e-09
0.5196261.5766716.557835e-09
0.5222571.5764796.369125e-09
0.5249011.5762896.179460e-09
0.5275581.5761015.988834e-09
0.5302291.5759145.797244e-09
0.5329131.575735.604684e-09
0.5356111.5755475.411148e-09
0.5383231.5753665.216633e-09
0.5410481.5751875.021134e-09
0.5437881.575014.824644e-09
0.5465411.5748354.627160e-09
0.5493081.5746614.428676e-09
0.551.5746184.379000e-09
0.5520881.5744894.395624e-09
0.5548831.5743194.417873e-09
0.5576931.574154.440234e-09
0.5605161.5739834.462708e-09
0.5633541.5738184.485296e-09
0.5662061.5736544.507999e-09
0.5690721.5734924.530816e-09
0.5719531.5733314.553749e-09
0.5748491.5731724.576798e-09
0.5777591.5730154.599963e-09
0.5806841.5728594.623246e-09
0.5836241.5727044.646647e-09
0.5865791.5725514.670167e-09
0.5895481.57244.693805e-09
0.5925331.572254.717563e-09
0.5955331.5721014.741441e-09
0.5985481.5719534.765441e-09
0.61.5718834.777000e-09
0.6015781.5718074.953047e-09
0.6046241.5716635.292812e-09
0.6076851.571525.634297e-09
0.6107611.5713785.977511e-09
0.6138531.5712376.322463e-09
0.6169611.5710976.669161e-09
0.6200841.5709597.017614e-09
0.6232241.5708227.367831e-09
0.6263791.5706877.719821e-09
0.629551.5705528.073594e-09
0.6327371.5704198.429157e-09
0.635941.5702878.786521e-09
0.639161.5701569.145693e-09
0.6423961.5700269.506684e-09
0.6456481.5698989.869503e-09
0.6489171.569771.023416e-08
0.651.5697281.035500e-08
0.6522021.5696441.014441e-08
0.6555041.5695189.828628e-09
0.6588231.5693949.511251e-09
0.6621581.5692719.192267e-09
0.665511.5691498.871669e-09
0.6688791.5690278.549448e-09
0.6722661.5689078.225595e-09
0.6756691.5687887.900103e-09
0.679091.568677.572963e-09
0.6825281.5685537.244166e-09
0.6859831.5684376.913706e-09
0.6894561.5683216.581572e-09
0.6929471.5682076.247756e-09
0.6964551.5680935.912251e-09
0.6999811.5679815.575047e-09
0.71.567985.573200e-09
0.7035241.5678695.601262e-09
0.7070861.5677585.629620e-09
0.7106661.5676485.658122e-09
0.7142641.5675395.686768e-09
0.717881.5674315.715559e-09
0.7215141.5673245.744496e-09
0.7251671.5672175.773579e-09
0.7288381.5671115.802810e-09
0.7325281.5670065.832189e-09
0.7362371.5669025.861716e-09
0.7399641.5667985.891393e-09
0.743711.5666955.921220e-09
0.7474751.5665935.951198e-09
0.7512591.5664925.981328e-09
0.7550631.5663916.011610e-09
0.7588851.5662926.042046e-09
0.7627271.5661926.072636e-09
0.7665891.5660946.103381e-09
0.770471.5659966.134281e-09
0.774371.5658996.165338e-09
0.7782911.5658026.196552e-09
0.7822311.5657066.227924e-09
0.7861911.5656116.259454e-09
0.7901711.5655166.291145e-09
0.7941721.5654226.322996e-09
0.7981921.5653286.355008e-09
0.81.5652876.369400e-09
0.8022331.5652356.387182e-09
0.8062951.5651436.419519e-09
0.8103771.5650516.452020e-09
0.8144791.564966.484685e-09
0.8186031.5648696.517516e-09
0.8227471.5647796.550513e-09
0.8269121.5646896.583677e-09
0.8310991.56466.617009e-09
0.8353061.5645116.650510e-09
0.8395351.5644236.684180e-09
0.8437861.5643366.718021e-09
0.8480571.5642486.752033e-09
0.8523511.5641616.786217e-09
0.8566661.5640756.820574e-09
0.8610031.5639896.855105e-09
0.8653621.5639046.889811e-09
0.8697431.5638196.924693e-09
0.8741461.5637346.959752e-09
0.8785721.563656.994987e-09
0.883021.5635667.030402e-09
0.887491.5634827.065995e-09
0.8919831.5633997.101769e-09
0.8964991.5633167.137724e-09
0.91.5632537.165600e-09
0.9010371.5632347.256540e-09
0.9055991.5631527.656386e-09
0.9101841.563078.058256e-09
0.9147921.5629898.462161e-09
0.9194231.5629088.868111e-09
0.9240781.5628279.276116e-09
0.9287561.5627469.686186e-09
0.9334581.5626661.009833e-08
0.9381841.5625861.051257e-08
0.9429341.5625061.092890e-08
0.9477071.5624271.134733e-08
0.9525051.5623481.176789e-08
0.9573271.5622691.219058e-08
0.9621741.562191.261540e-08
0.9670451.5621121.304238e-08
0.9719411.5620341.347152e-08
0.9768621.5619561.390283e-08
0.9818071.5618781.433632e-08
0.9867781.56181.477201e-08
0.9917731.5617231.520990e-08
0.9967941.5616461.565001e-08
11.5615971.593100e-08
1.001841.5615691.596033e-08
1.006911.5614921.604116e-08
1.012011.5614151.612239e-08
1.017131.5613381.620403e-08
1.022281.5612621.628608e-08
1.027461.5611861.636856e-08
1.032661.5611091.645144e-08
1.037891.5610331.653475e-08
1.043141.5609571.661848e-08
1.048421.5608811.670264e-08
1.053731.5608061.678722e-08
1.059071.560731.687222e-08
1.064431.5606541.695766e-08
1.069821.5605781.704353e-08
1.075231.5605031.712984e-08
1.080681.5604271.721658e-08
1.086151.5603521.730376e-08
1.091651.5602761.739139e-08
1.097171.5602011.747945e-08
1.102731.5601261.756797e-08
1.108311.560051.765693e-08
1.113921.5599751.774634e-08
1.119561.5598991.783620e-08
1.125231.5598241.792652e-08
1.130931.5597481.801730e-08
1.136651.5596731.810853e-08
1.142411.5595971.820023e-08
1.148191.5595211.829239e-08
1.1541.5594461.838502e-08
1.159841.559371.847812e-08
1.165721.5592941.857169e-08
1.171621.5592181.866573e-08
1.177551.5591421.876025e-08
1.183511.5590661.885524e-08
1.18951.558991.895072e-08
1.195521.5589131.904668e-08
1.21.5588571.911800e-08
1.201581.5588371.993893e-08
1.207661.558762.310558e-08
1.213771.5586842.628827e-08
1.219921.5586072.948707e-08
1.22611.5585293.270206e-08
1.23231.5584523.593333e-08
1.238541.5583753.918096e-08
1.244811.5582974.244503e-08
1.251111.5582194.572562e-08
1.257451.5581414.902283e-08
1.263811.5580635.233672e-08
1.270211.5579855.566740e-08
1.276641.5579065.901493e-08
1.283111.5578276.237942e-08
1.28961.5577486.576093e-08
1.296131.5576686.915957e-08
1.302691.5575897.257541e-08
1.309291.5575097.600854e-08
1.315921.5574287.945906e-08
1.322581.5573488.292704e-08
1.329271.5572678.641259e-08
1.3361.5571868.991577e-08
1.342771.5571049.343670e-08
1.349561.5570239.697545e-08
1.35641.556941.005321e-07
1.363261.5568581.041068e-07
1.370171.5567751.076995e-07
1.37711.5566921.113105e-07
1.384071.5566081.149397e-07
1.391081.5565241.185874e-07
1.398121.556441.222534e-07
1.41.5564181.232300e-07
1.40521.5563551.216847e-07
1.412321.556271.195716e-07
1.419471.5561851.174477e-07
1.426651.5560991.153131e-07
1.433881.5560121.131677e-07
1.441131.5559251.110114e-07
1.448431.5558381.088442e-07
1.455761.555751.066661e-07
1.463131.5556621.044769e-07
1.470541.5555731.022766e-07
1.477991.5554841.000652e-07
1.485471.5553949.784256e-08
1.492991.5553049.560870e-08
1.500551.5552139.336353e-08
1.508141.5551229.110699e-08
1.515781.555038.883903e-08
1.523451.5549378.655958e-08
1.531171.5548448.426860e-08
1.538921.5547518.196601e-08
1.546711.5546567.965177e-08
1.554541.5545627.732582e-08
1.562411.5544667.498808e-08
1.570321.554377.263852e-08
1.578271.5542747.027705e-08
1.586261.5541766.790364e-08
1.594291.5540786.551820e-08
1.61.5540096.382200e-08
1.602361.553986.511001e-08
1.610471.553886.953554e-08
1.618631.553787.398348e-08
1.626821.553687.845393e-08
1.635061.5535788.294701e-08
1.643331.5534768.746285e-08
1.651651.5533739.200154e-08
1.660021.553279.656321e-08
1.668421.5531651.011480e-07
1.676871.553061.057560e-07
1.685361.5529541.103873e-07
1.693891.5528481.150420e-07
1.702461.552741.197203e-07
1.711081.5526321.244223e-07
1.719751.5525231.291481e-07
1.728451.5524131.338979e-07
1.73721.5523021.386717e-07
1.7461.552191.434696e-07
1.754841.5520781.482918e-07
1.763721.5519641.531385e-07
1.772651.551851.580097e-07
1.781621.5517341.629055e-07
1.790641.5516181.678262e-07
1.799711.5515011.727717e-07
1.81.5514971.729300e-07
1.808821.5513831.802008e-07
1.817981.5512641.877488e-07
1.827181.5511431.953351e-07
1.836431.5510222.029597e-07
1.845731.55092.106229e-07
1.855071.5507772.183250e-07
1.864471.5506532.260660e-07
1.873911.5505272.338462e-07
1.883391.5504012.416658e-07
1.892931.5502732.495250e-07
1.902511.5501452.574240e-07
1.912141.5500152.653630e-07
1.921821.5498842.733421e-07
1.931551.5497522.813617e-07
1.941331.5496192.894219e-07
1.951161.5494842.975228e-07
1.961041.5493493.056648e-07
1.970971.5492123.138480e-07
1.980941.5490743.220726e-07
1.990971.5489353.303389e-07
21.5488093.377800e-07
2.001051.5487943.427844e-07
2.011181.5486523.909819e-07
2.021361.5485094.394234e-07
2.03161.5483654.881101e-07
2.041881.5482195.370434e-07
2.052221.5480725.862243e-07
2.062611.5479236.356543e-07
2.073051.5477736.853345e-07
2.083551.5476227.352662e-07
2.09411.5474697.854507e-07
2.10471.5473148.358893e-07
2.115351.5471598.865832e-07
2.126061.5470019.375338e-07
2.136831.5468439.887423e-07
2.147641.5466821.040210e-06
2.158521.5465211.091938e-06
2.169441.5463571.143929e-06
2.180431.5461921.196182e-06
2.191471.5460261.248700e-06
2.21.5458961.289300e-06
2.202561.5458571.301289e-06
2.213711.5456871.353491e-06
2.224921.5455161.405958e-06
2.236181.5453421.458691e-06
2.24751.5451671.511690e-06
2.258881.5449911.564958e-06
2.270321.5448121.618495e-06
2.281811.5446321.672303e-06
2.293361.544451.726384e-06
2.304971.5442661.780739e-06
2.316641.544081.835369e-06
2.328371.5438921.890275e-06
2.340161.5437031.945459e-06
2.352011.5435112.000923e-06
2.363911.5433172.056667e-06
2.375881.5431222.112694e-06
2.387911.5429242.169005e-06
2.41.5427252.225600e-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
—