Optical constants

Refractive index of Soda lime glass

Rubin 1985: Bronze; n,k 0.32–4.6 µm

Data
formula 5 + tabulated k
Range
0.32–4.6 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–4.6 µm
Refractive index n
1.52338
Extinction coefficient k
3.91192e-06
Permittivity ε1
2.32069
Permittivity ε2
1.19187e-05
Absorption coefficient α
0.8366 cm⁻¹
Penetration depth δ = λ/(2πk)
2.39063e+07 nm
Abbe number Vd
63.968
Chromatic dispersion dn/dλ
-0.0427812 µm⁻¹
Group index ng
1.54852
Group velocity dispersion
69.3641 fs²/mm
Dispersion parameter D
-378.418 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

# Soda lime glass: Rubin 1985: Bronze; n,k 0.32–4.6 µm
soda_lime = ls.fetch_refractiveindex("glass", "soda-lime", "Rubin-bronze", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(soda_lime.range_nm)  # (320, 4600) nm
eps = soda_lime.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

Cauchy (formula 5), λ in µm
n=1.513−0.003169⁢λ2.0+0.003962⁢λ−2.0

Valid from 0.32 to 4.6 µm.

Coefficients as stored
CiValue
C11.513
C2-0.003169
C32.0
C40.003962
C5-2.0

Comments and conditions

Bronze soda lime silica window glass

References

M. Rubin. Optical properties of soda lime silica glasses. Sol. Energy Mater. 12, 275-288 (1985)

Cite

M. Rubin. Optical properties of soda lime silica glasses. Solar Energy Materials, 12, 275-288 (1985), doi:10.1016/0165-1633(85)90052-8; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 503 wavelengths, the same grid as the API and the library
Soda lime glass, Rubin 1985: Bronze; n,k 0.32–4.6 µm: n and k versus wavelength
λ (µm)nk
0.321.5513677.310000e-05
0.3221451.5508496.458692e-05
0.3243041.5503385.601678e-05
0.3264781.5498334.738919e-05
0.3286661.5493363.870377e-05
0.331.5490373.341000e-05
0.3308691.5488443.188195e-05
0.3330871.5483592.798315e-05
0.335321.547882.405821e-05
0.3375671.5474082.010697e-05
0.339831.5469421.612925e-05
0.341.5469071.583000e-05
0.3421081.5464811.430980e-05
0.3444011.5460271.265580e-05
0.3467091.5455791.099072e-05
0.3490331.5451369.314477e-06
0.351.5449558.617000e-06
0.3513731.5446998.131676e-06
0.3537281.5442687.298885e-06
0.3560991.5438436.460513e-06
0.3584861.5434235.616521e-06
0.361.543165.081000e-06
0.3608881.5430084.992696e-06
0.3633071.5425994.752251e-06
0.3657431.5421954.510195e-06
0.3681941.5417964.266516e-06
0.371.5415074.087000e-06
0.3706621.5414024.115264e-06
0.3731461.5410144.221351e-06
0.3756481.540634.328149e-06
0.3781651.5402514.435663e-06
0.381.539984.514000e-06
0.38071.5398784.430470e-06
0.3832521.5395094.126045e-06
0.3858211.5391443.819581e-06
0.3884071.5387853.511062e-06
0.391.5385673.321000e-06
0.391011.538433.296248e-06
0.3936311.5380793.232037e-06
0.396271.5377333.167396e-06
0.3989261.5373923.102321e-06
0.41.5372553.076000e-06
0.40161.5370553.116629e-06
0.4042911.5367223.185002e-06
0.4070011.5363933.253833e-06
0.4097291.5360683.323125e-06
0.411.5360373.330000e-06
0.4124761.5357483.393377e-06
0.415241.5354323.464155e-06
0.4180241.5351193.535406e-06
0.421.5349013.586000e-06
0.4208261.5348113.610025e-06
0.4236461.5345073.692108e-06
0.4264861.5342063.774741e-06
0.4293451.5339093.857927e-06
0.431.5338423.877000e-06
0.4322221.5336163.928115e-06
0.4351191.5333273.994748e-06
0.4380361.5330414.061828e-06
0.441.5328514.107000e-06
0.4409721.5327594.118956e-06
0.4439281.532484.155312e-06
0.4469031.5322054.191911e-06
0.4498991.5319334.228756e-06
0.451.5319244.230000e-06
0.4529141.5316644.266139e-06
0.455951.5313994.303783e-06
0.4590061.5311374.341679e-06
0.461.5310534.354000e-06
0.4620831.5308794.383578e-06
0.465181.5306244.427559e-06
0.4682981.5303714.471835e-06
0.471.5302364.496000e-06
0.4714371.5301224.511809e-06
0.4745971.5298764.546568e-06
0.4777781.5296334.581560e-06
0.481.5294664.606000e-06
0.4809811.5293934.614924e-06
0.4842051.5291564.644262e-06
0.487451.5289224.673796e-06
0.491.5287414.697000e-06
0.4907171.528694.698865e-06
0.4940071.5284624.707417e-06
0.4973181.5282364.716026e-06
0.51.5280564.723000e-06
0.5006511.5280124.720591e-06
0.5040071.5277924.708174e-06
0.5073851.5275744.695675e-06
0.511.5274084.686000e-06
0.5107861.5273594.676803e-06
0.514211.5271464.636745e-06
0.5176561.5269364.596420e-06
0.521.5267954.569000e-06
0.5211261.5267284.543098e-06
0.5246191.5265234.462759e-06
0.5281361.5263214.381881e-06
0.531.5262144.339000e-06
0.5316761.526124.298116e-06
0.5352391.5259224.211161e-06
0.5388271.5257264.123624e-06
0.541.5256634.095000e-06
0.5424391.5255334.004774e-06
0.5460741.5253423.870248e-06
0.5497351.5251523.734820e-06
0.551.5251393.725000e-06
0.5534191.5249663.669948e-06
0.5571291.5247813.610226e-06
0.561.524643.564000e-06
0.5608631.5245983.580054e-06
0.5646221.5244183.649978e-06
0.5684071.5242393.720371e-06
0.571.5241653.750000e-06
0.5722171.5240633.778820e-06
0.5760521.5238883.828681e-06
0.5799141.5237153.878876e-06
0.581.5237123.880000e-06
0.5838011.5235453.895962e-06
0.5877141.5233763.912397e-06
0.591.5232793.922000e-06
0.5916531.5232093.927124e-06
0.5956191.5230443.939418e-06
0.5996111.522883.951794e-06
0.61.5228653.953000e-06
0.603631.5227193.944288e-06
0.6076761.5225593.934577e-06
0.611.5224683.929000e-06
0.6117491.5224013.937571e-06
0.615851.5222443.957663e-06
0.6199781.522093.977890e-06
0.621.5220893.978000e-06
0.6241331.5219364.056943e-06
0.6283171.5217854.136847e-06
0.631.5217254.169000e-06
0.6325281.5216354.205657e-06
0.6367681.5214864.267133e-06
0.641.5213754.314000e-06
0.6410361.5213394.324981e-06
0.6453331.5211944.370526e-06
0.6496581.521054.416376e-06
0.651.5210394.420000e-06
0.6540131.5209074.432439e-06
0.6583961.5207664.446029e-06
0.661.5207154.451000e-06
0.6628091.5206264.423748e-06
0.6672521.5204884.380654e-06
0.671.5204034.354000e-06
0.6717251.5203514.340548e-06
0.6762271.5202154.305429e-06
0.681.5201034.276000e-06
0.680761.5200814.269771e-06
0.6853231.5199474.232354e-06
0.6899161.5198154.194687e-06
0.691.5198134.194000e-06
0.6945411.5196854.190368e-06
0.6991961.5195554.186643e-06
0.71.5195334.186000e-06
0.7038831.5194274.269474e-06
0.70861.5192994.370910e-06
0.711.5192624.401000e-06
0.713351.5191734.477047e-06
0.7181321.5190484.585586e-06
0.721.5194.628000e-06
0.7229451.5189244.699269e-06
0.7277911.5188014.816536e-06
0.731.5187464.870000e-06
0.7326691.518684.938059e-06
0.737581.5185595.063288e-06
0.741.51855.125000e-06
0.7425241.5184395.193141e-06
0.7475011.518325.327520e-06
0.751.5182615.395000e-06
0.7525111.5182025.475355e-06
0.7575551.5180855.636760e-06
0.761.5180295.715000e-06
0.7626331.5179695.799511e-06
0.7677451.5178545.963599e-06
0.771.5178046.036000e-06
0.7728911.5177396.128208e-06
0.7780711.5176266.293467e-06
0.781.5175846.355000e-06
0.7832861.5175136.459505e-06
0.7885371.5174016.626461e-06
0.791.5173716.673000e-06
0.7938221.517296.793390e-06
0.7991431.517186.960996e-06
0.81.5171626.988000e-06
0.8044991.5170717.123876e-06
0.8098921.5169627.286727e-06
0.811.516967.290000e-06
0.815321.5168547.451200e-06
0.821.5167617.593000e-06
0.8207851.5167467.616944e-06
0.8262871.5166397.784742e-06
0.831.5165687.898000e-06
0.8318251.5165337.953481e-06
0.8374011.5164288.122978e-06
0.841.5163798.202000e-06
0.8430141.5163238.293912e-06
0.8486641.5162198.466254e-06
0.851.5161948.507000e-06
0.8543521.5161158.650632e-06
0.861.5160138.837000e-06
0.8600791.5160128.839513e-06
0.8658441.5159099.022838e-06
0.871.5158369.155000e-06
0.8716481.5158079.205085e-06
0.877491.5157059.382696e-06
0.881.5156629.459000e-06
0.8833721.5156049.556777e-06
0.8892931.5155049.728488e-06
0.891.5154929.749000e-06
0.8952531.5154039.891368e-06
0.91.5153241.002000e-05
0.9012541.5153041.004884e-05
0.9072951.5152041.018779e-05
0.911.515161.025000e-05
0.9133761.5151051.032428e-05
0.9194991.5150071.045897e-05
0.921.5149991.047000e-05
0.9256621.5149091.059456e-05
0.931.514841.069000e-05
0.9318661.5148111.072919e-05
0.9381121.5147131.086036e-05
0.941.5146841.090000e-05
0.94441.5146161.099241e-05
0.951.514531.111000e-05
0.9507311.5145191.112534e-05
0.9571031.5144221.125916e-05
0.961.5143781.132000e-05
0.9635181.5143261.139037e-05
0.9699771.5142291.151953e-05
0.971.5142291.152000e-05
0.9764781.5141341.164956e-05
0.981.5140821.172000e-05
0.9830231.5140381.177744e-05
0.9896121.5139421.190263e-05
0.991.5139371.191000e-05
0.9962451.5138471.202866e-05
11.5137931.210000e-05
1.002921.5137511.214268e-05
1.009651.5136561.224082e-05
1.016411.5135611.233963e-05
1.023231.5134661.243910e-05
1.030081.5133711.253923e-05
1.036991.5132771.264003e-05
1.043941.5131821.274151e-05
1.050941.5130871.284368e-05
1.057981.5129931.294652e-05
1.065071.5128981.305006e-05
1.072211.5128031.315428e-05
1.07941.5127081.325921e-05
1.086631.5126141.336484e-05
1.093921.5125191.347118e-05
1.11.512441.356000e-05
1.101251.5124241.357224e-05
1.108631.5123291.364458e-05
1.116061.5122341.371740e-05
1.123541.5121381.379071e-05
1.131071.5120431.386451e-05
1.138651.5119471.393881e-05
1.146291.5118511.401361e-05
1.153971.5117551.408890e-05
1.16171.5116591.416470e-05
1.169491.5115631.424101e-05
1.177331.5114661.431783e-05
1.185221.5113691.439517e-05
1.193171.5112711.447302e-05
1.21.5111881.454000e-05
1.201161.5111741.453721e-05
1.209211.5110761.451789e-05
1.217321.5109781.449843e-05
1.225481.5108791.447885e-05
1.233691.510781.445914e-05
1.241961.5106811.443929e-05
1.250291.5105811.441931e-05
1.258671.510481.439920e-05
1.26711.510381.437895e-05
1.27561.5102791.435857e-05
1.284151.5101771.433805e-05
1.292751.5100751.431739e-05
1.31.5099891.430000e-05
1.301421.5099721.428652e-05
1.310141.5098691.420365e-05
1.318921.5097651.412022e-05
1.327761.5096611.403624e-05
1.336661.5095561.395169e-05
1.345621.509451.386657e-05
1.354641.5093441.378089e-05
1.363721.5092371.369463e-05
1.372861.5091291.360779e-05
1.382071.5090211.352037e-05
1.391331.5089121.343237e-05
1.41.508811.335000e-05
1.400661.5088021.333860e-05
1.410041.5086921.317524e-05
1.419491.5085811.301079e-05
1.429011.5084691.284524e-05
1.438591.5083561.267857e-05
1.448231.5082421.251079e-05
1.457941.5081281.234189e-05
1.467711.5080131.217185e-05
1.477551.5078961.200067e-05
1.487451.5077791.182835e-05
1.497421.5076611.165487e-05
1.51.5076311.161000e-05
1.507461.5075421.150931e-05
1.517561.5074221.137291e-05
1.527731.5073011.123559e-05
1.537971.5071791.109735e-05
1.548281.5070561.095818e-05
1.558661.5069321.081808e-05
1.569111.5068071.067704e-05
1.579631.506681.053505e-05
1.590211.5065531.039212e-05
1.61.5064351.026000e-05
1.600871.5064241.025852e-05
1.61161.5062951.024028e-05
1.62241.5061641.022191e-05
1.633281.5060321.020342e-05
1.644231.5058981.018481e-05
1.655251.5057631.016608e-05
1.666341.5056281.014722e-05
1.677511.505491.012823e-05
1.688761.5053521.010911e-05
1.71.5052131.009000e-05
1.700081.5052121.009037e-05
1.711471.505071.014621e-05
1.722941.5049271.020242e-05
1.734491.5047831.025900e-05
1.746121.5046371.031597e-05
1.757821.504491.037332e-05
1.76961.5043421.043105e-05
1.781461.5041911.048917e-05
1.79341.5040391.054768e-05
1.81.5039551.058000e-05
1.805431.5038861.060170e-05
1.817531.5037311.065011e-05
1.829711.5035741.069884e-05
1.841971.5034161.074790e-05
1.854321.5032561.079728e-05
1.866751.5030941.084700e-05
1.879261.502931.089705e-05
1.891861.5027651.094743e-05
1.91.5026571.098000e-05
1.904541.5025971.098862e-05
1.91731.5024281.101288e-05
1.930161.5022571.103730e-05
1.943091.5020841.106188e-05
1.956121.501911.108662e-05
1.969231.5017331.111153e-05
1.982431.5015541.113661e-05
1.995721.5013731.116186e-05
21.5013141.117000e-05
2.009091.501191.117091e-05
2.022561.5010051.117226e-05
2.036121.5008181.117361e-05
2.049761.5006281.117498e-05
2.06351.5004371.117635e-05
2.077331.5002431.117773e-05
2.091261.5000471.117913e-05
2.11.4999231.118000e-05
2.105281.4998481.122115e-05
2.119391.4996481.133122e-05
2.133591.4994441.144202e-05
2.147891.4992391.155357e-05
2.162291.4990311.166586e-05
2.176781.498821.177891e-05
2.191371.4986071.189272e-05
2.21.4984811.196000e-05
2.206061.4983911.192423e-05
2.220851.4981731.183699e-05
2.235741.4979521.174916e-05
2.250721.4977291.166075e-05
2.265811.4975021.157174e-05
2.280991.4972731.148213e-05
2.296281.4970421.139193e-05
2.31.4969851.137000e-05
2.311671.4968071.138518e-05
2.327171.4965691.140532e-05
2.342771.4963291.142560e-05
2.358471.4960851.144601e-05
2.374281.4958391.146656e-05
2.390191.4955891.148725e-05
2.41.4954341.150000e-05
2.406211.4953361.157209e-05
2.422341.495081.175918e-05
2.438581.4948211.194752e-05
2.454921.4945591.213713e-05
2.471381.4942931.232800e-05
2.487941.4940241.252016e-05
2.51.4938281.266000e-05
2.504621.4937521.268449e-05
2.521411.4934761.277347e-05
2.538311.4931971.286304e-05
2.555321.4929141.295321e-05
2.572451.4926281.304399e-05
2.589691.4923381.313538e-05
2.61.4921641.319000e-05
2.607051.4920441.342835e-05
2.624531.4917471.401899e-05
2.642121.4914451.461358e-05
2.659831.491141.521217e-05
2.677661.4908311.581476e-05
2.69561.4905181.642140e-05
2.71.4904411.657000e-05
2.713671.4902012.677580e-05
2.731861.489884.035402e-05
2.750171.4895555.402325e-05
2.768611.4892266.778410e-05
2.787161.4888928.163719e-05
2.81.488669.122000e-05
2.805841.4885549.177993e-05
2.824651.4882129.358164e-05
2.843581.4878669.539543e-05
2.862641.4875149.722137e-05
2.881831.4871599.905955e-05
2.91.486820.0001008
2.901151.4867980.000100732
2.920591.4864339.958080e-05
2.940171.4860649.842189e-05
2.959881.4856899.725522e-05
2.979721.485319.608072e-05
2.999691.4849259.489835e-05
31.4849199.488000e-05
3.01981.4845369.522446e-05
3.040041.4841419.557665e-05
3.060411.4837429.593120e-05
3.080931.4833379.628814e-05
3.11.4829589.662000e-05
3.101581.4829279.679960e-05
3.122371.4825119.916541e-05
3.14331.482090.0001015471
3.164361.4816640.0001039447
3.185571.4812320.0001063584
3.21.4809360.000108
3.206931.4807940.000108762
3.228421.4803510.0001111265
3.250061.4799010.0001135068
3.271851.4794460.0001159031
3.293781.4789850.0001183155
3.31.4788530.000119
3.315851.4785180.000120522
3.338081.4780440.0001226557
3.360451.4775640.0001248036
3.382981.4770780.000126966
3.41.4767090.0001286
3.405651.4765860.0001289675
3.428481.4760870.0001304513
3.451461.4755820.000131945
3.47461.4750690.0001334488
3.497891.474550.0001349626
3.51.4745030.0001351
3.521331.4740250.000134972
3.544931.4734920.0001348304
3.56871.4729520.0001346878
3.592621.4724050.0001345443
3.61.4722350.0001345
3.61671.4718510.0001348506
3.640941.4712890.0001353597
3.665341.470720.0001358722
3.689911.4701440.0001363881
3.71.4699060.0001366
3.714641.4695590.0001363218
3.739541.4689670.0001358487
3.764611.4683680.0001353725
3.789841.467760.000134893
3.81.4675140.0001347
3.815241.4671440.0001346085
3.840821.466520.0001344551
3.866561.4658880.0001343006
3.892481.4652470.0001341451
3.91.465060.0001341
3.918571.4645970.0001348984
3.944831.463940.0001360278
3.971271.4632730.0001371648
3.997891.4625970.0001383094
41.4625440.0001384
4.024691.4619130.0001432144
4.051671.4612190.0001484749
4.078821.4605160.0001537706
4.11.4599650.0001579
4.106161.4598040.0001596811
4.133691.4590820.0001676352
4.161391.4583510.0001756426
4.189291.4576090.0001837037
4.21.4573230.0001868
4.217371.4568580.0001972022
4.245631.4560970.0002141348
4.274091.4553260.0002311809
4.31.4546190.0002467
4.302741.4545440.0002489715
4.331581.4537530.0002728801
4.360611.452950.000296949
4.389841.4521370.0003211793
4.41.4518530.0003296
4.419271.4513130.0003551667
4.448891.4504770.0003944743
4.478711.4496310.0004340454
4.51.4490230.0004623
4.508731.4487730.0005139422
4.538951.4479040.0006927602
4.569371.4470240.0008727768
4.61.4461310.001054

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
—