Optical constants

Refractive index of Soda lime glass

Rubin 1985: Green; 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
1.97372e-06
Permittivity ε1
2.32069
Permittivity ε2
6.01345e-06
Absorption coefficient α
0.422098 cm⁻¹
Penetration depth δ = λ/(2πk)
4.73823e+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: Green; n,k 0.32–4.6 µm
soda_lime = ls.fetch_refractiveindex("glass", "soda-lime", "Rubin-green", 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

Green 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: Green; 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
0.3308691.5488443.162814e-05
0.3330871.5483592.708176e-05
0.335321.547882.250490e-05
0.3375671.5474081.789737e-05
0.339831.5469421.325895e-05
0.341.5469071.291000e-05
0.3421081.5464811.144417e-05
0.3444011.5460279.849339e-06
0.3467091.5455798.243815e-06
0.3490331.5451366.627529e-06
0.351.5449555.955000e-06
0.3513731.5446995.549282e-06
0.3537281.5442684.853092e-06
0.3560991.5438434.152235e-06
0.3584861.5434233.446681e-06
0.361.543162.999000e-06
0.3608881.5430082.924288e-06
0.3633071.5425992.720853e-06
0.3657431.5421952.516055e-06
0.3681941.5417962.309885e-06
0.371.5415072.158000e-06
0.3706621.5414022.210028e-06
0.3731461.5410142.405307e-06
0.3756481.540632.601895e-06
0.3781651.5402512.799801e-06
0.381.539982.944000e-06
0.38071.5398782.837224e-06
0.3832521.5395092.448082e-06
0.3858211.5391442.056331e-06
0.3884071.5387851.661954e-06
0.391.5385671.419000e-06
0.391011.538431.379195e-06
0.3936311.5380791.275934e-06
0.396271.5377331.171979e-06
0.3989261.5373921.067329e-06
0.41.5372551.025000e-06
0.40161.5370551.036357e-06
0.4042911.5367221.055469e-06
0.4070011.5363931.074709e-06
0.4097291.5360681.094078e-06
0.411.5360371.096000e-06
0.4124761.5357481.108626e-06
0.415241.5354321.122726e-06
0.4180241.5351191.136921e-06
0.421.5349011.147000e-06
0.4208261.5348111.151789e-06
0.4236461.5345071.168149e-06
0.4264861.5342061.184618e-06
0.4293451.5339091.201199e-06
0.431.5338421.205000e-06
0.4322221.5336161.199666e-06
0.4351191.5333271.192713e-06
0.4380361.5330411.185714e-06
0.441.5328511.181000e-06
0.4409721.5327591.162453e-06
0.4439281.532481.106058e-06
0.4469031.5322051.049284e-06
0.4498991.5319339.921298e-07
0.451.5319249.902000e-07
0.4529141.5316649.547022e-07
0.455951.5313999.177262e-07
0.4590061.5311378.805024e-07
0.461.5310538.684000e-07
0.4620831.5308798.642340e-07
0.465181.5306248.580395e-07
0.4682981.5303718.518035e-07
0.471.5302368.484000e-07
0.4714371.5301228.473078e-07
0.4745971.5298768.449062e-07
0.4777781.5296338.424886e-07
0.481.5294668.408000e-07
0.4809811.5293938.411628e-07
0.4842051.5291568.423557e-07
0.487451.5289228.435565e-07
0.491.5287418.445000e-07
0.4907171.528698.460352e-07
0.4940071.5284628.530740e-07
0.4973181.5282368.601600e-07
0.51.5280568.659000e-07
0.5006511.5280128.687457e-07
0.5040071.5277928.834104e-07
0.5073851.5275748.981734e-07
0.511.5274089.096000e-07
0.5107861.5273599.140101e-07
0.514211.5271469.332170e-07
0.5176561.5269369.525526e-07
0.521.5267959.657000e-07
0.5211261.5267289.739549e-07
0.5246191.5265239.995586e-07
0.5281361.5263211.025334e-06
0.531.5262141.039000e-06
0.5316761.526121.052237e-06
0.5352391.5259221.080390e-06
0.5388271.5257261.108732e-06
0.541.5256631.118000e-06
0.5424391.5255331.130437e-06
0.5460741.5253421.148979e-06
0.5497351.5251521.167646e-06
0.551.5251391.169000e-06
0.5534191.5249661.212768e-06
0.5571291.5247811.260249e-06
0.561.524641.297000e-06
0.5608631.5245981.319355e-06
0.5646221.5244181.416722e-06
0.5684071.5242391.514742e-06
0.571.5241651.556000e-06
0.5722171.5240631.611202e-06
0.5760521.5238881.706705e-06
0.5799141.5237151.802847e-06
0.581.5237121.805000e-06
0.5838011.5235451.889373e-06
0.5877141.5233761.976244e-06
0.591.5232792.027000e-06
0.5916531.5232092.066176e-06
0.5956191.5230442.160164e-06
0.5996111.522882.254782e-06
0.61.5228652.264000e-06
0.603631.5227192.352575e-06
0.6076761.5225592.451297e-06
0.611.5224682.508000e-06
0.6117491.5224012.555754e-06
0.615851.5222442.667696e-06
0.6199781.522092.780388e-06
0.621.5220892.781000e-06
0.6241331.5219362.901688e-06
0.6283171.5217853.023845e-06
0.631.5217253.073000e-06
0.6325281.5216353.162241e-06
0.6367681.5214863.311903e-06
0.641.5213753.426000e-06
0.6410361.5213393.479452e-06
0.6453331.5211943.701164e-06
0.6496581.521053.924361e-06
0.651.5210393.942000e-06
0.6540131.5209074.099297e-06
0.6583961.5207664.271139e-06
0.661.5207154.334000e-06
0.6628091.5206264.372771e-06
0.6672521.5204884.434080e-06
0.671.5204034.472000e-06
0.6717251.5203514.508907e-06
0.6762271.5202154.605259e-06
0.681.5201034.686000e-06
0.680761.5200814.710461e-06
0.6853231.5199474.857389e-06
0.6899161.5198155.005302e-06
0.691.5198135.008000e-06
0.6945411.5196855.169191e-06
0.6991961.5195555.334456e-06
0.71.5195335.363000e-06
0.7038831.5194275.534607e-06
0.70861.5192995.743141e-06
0.711.5192625.805000e-06
0.713351.5191735.957429e-06
0.7181321.5190486.174984e-06
0.721.5196.260000e-06
0.7229451.5189246.398415e-06
0.7277911.5188016.626165e-06
0.731.5187466.730000e-06
0.7326691.518686.858912e-06
0.737581.5185597.096110e-06
0.741.51857.213000e-06
0.7425241.5184397.338683e-06
0.7475011.518327.586537e-06
0.751.5182617.711000e-06
0.7525111.5182027.845092e-06
0.7575551.5180858.114437e-06
0.761.5180298.245000e-06
0.7626331.5179698.387168e-06
0.7677451.5178548.663203e-06
0.771.5178048.785000e-06
0.7728911.5177398.941667e-06
0.7780711.5176269.222452e-06
0.781.5175849.327000e-06
0.7832861.5175139.505775e-06
0.7885371.5174019.791386e-06
0.791.5173719.871000e-06
0.7938221.517291.008082e-05
0.7991431.517181.037294e-05
0.81.5171621.042000e-05
0.8044991.5170711.066746e-05
0.8098921.5169621.096404e-05
0.811.516961.097000e-05
0.815321.5168541.126793e-05
0.821.5167611.153000e-05
0.8207851.5167461.157239e-05
0.8262871.5166391.186948e-05
0.831.5165681.207000e-05
0.8318251.5165331.216673e-05
0.8374011.5164281.246223e-05
0.841.5163791.260000e-05
0.8430141.5163231.275670e-05
0.8486641.5162191.305053e-05
0.851.5161941.312000e-05
0.8543521.5161151.332892e-05
0.861.5160131.360000e-05
0.8600791.5160121.360379e-05
0.8658441.5159091.388051e-05
0.871.5158361.408000e-05
0.8716481.5158071.415743e-05
0.877491.5157051.443203e-05
0.881.5156621.455000e-05
0.8833721.5156041.470172e-05
0.8892931.5155041.496817e-05
0.891.5154921.500000e-05
0.8952531.5154031.523640e-05
0.91.5153241.545000e-05
0.9012541.5153041.550267e-05
0.9072951.5152041.575639e-05
0.911.515161.587000e-05
0.9133761.5151051.600506e-05
0.9194991.5150071.624994e-05
0.921.5149991.627000e-05
0.9256621.5149091.649647e-05
0.931.514841.667000e-05
0.9318661.5148111.674092e-05
0.9381121.5147131.697827e-05
0.941.5146841.705000e-05
0.94441.5146161.720842e-05
0.951.514531.741000e-05
0.9507311.5145191.743411e-05
0.9571031.5144221.764440e-05
0.961.5143781.774000e-05
0.9635181.5143261.785259e-05
0.9699771.5142291.805925e-05
0.971.5142291.806000e-05
0.9764781.5141341.826082e-05
0.981.5140821.837000e-05
0.9830231.5140381.846070e-05
0.9896121.5139421.865837e-05
0.991.5139371.867000e-05
0.9962451.5138471.885736e-05
11.5137931.897000e-05
1.002921.5137511.903489e-05
1.009651.5136561.918413e-05
1.016411.5135611.933437e-05
1.023231.5134661.948561e-05
1.030081.5133711.963787e-05
1.036991.5132771.979115e-05
1.043941.5131821.994545e-05
1.050941.5130872.010079e-05
1.057981.5129932.025718e-05
1.065071.5128982.041460e-05
1.072211.5128032.057309e-05
1.07941.5127082.073264e-05
1.086631.5126142.089325e-05
1.093921.5125192.105495e-05
1.11.512442.119000e-05
1.101251.5124242.120636e-05
1.108631.5123292.130306e-05
1.116061.5122342.140040e-05
1.123541.5121382.149840e-05
1.131071.5120432.159705e-05
1.138651.5119472.169637e-05
1.146291.5118512.179635e-05
1.153971.5117552.189700e-05
1.16171.5116592.199833e-05
1.169491.5115632.210033e-05
1.177331.5114662.220302e-05
1.185221.5113692.230640e-05
1.193171.5112712.241047e-05
1.21.5111882.250000e-05
1.201161.5111742.249593e-05
1.209211.5110762.246775e-05
1.217321.5109782.243938e-05
1.225481.5108792.241082e-05
1.233691.510782.238207e-05
1.241961.5106812.235313e-05
1.250291.5105812.232400e-05
1.258671.510482.229466e-05
1.26711.510382.226514e-05
1.27561.5102792.223541e-05
1.284151.5101772.220549e-05
1.292751.5100752.217536e-05
1.31.5099892.215000e-05
1.301421.5099722.212644e-05
1.310141.5098692.198163e-05
1.318921.5097652.183586e-05
1.327761.5096612.168911e-05
1.336661.5095562.154137e-05
1.345621.509452.139265e-05
1.354641.5093442.124292e-05
1.363721.5092372.109220e-05
1.372861.5091292.094046e-05
1.382071.5090212.078771e-05
1.391331.5089122.063393e-05
1.41.508812.049000e-05
1.400661.5088022.047119e-05
1.410041.5086922.020175e-05
1.419491.5085811.993050e-05
1.429011.5084691.965743e-05
1.438591.5083561.938253e-05
1.448231.5082421.910579e-05
1.457941.5081281.882719e-05
1.467711.5080131.854673e-05
1.477551.5078961.826439e-05
1.487451.5077791.798015e-05
1.497421.5076611.769401e-05
1.51.5076311.762000e-05
1.507461.5075421.746934e-05
1.517561.5074221.726524e-05
1.527731.5073011.705977e-05
1.537971.5071791.685292e-05
1.548281.5070561.664468e-05
1.558661.5069321.643505e-05
1.569111.5068071.622401e-05
1.579631.506681.601156e-05
1.590211.5065531.579769e-05
1.61.5064351.560000e-05
1.600871.5064241.559634e-05
1.61161.5062951.555127e-05
1.62241.5061641.550590e-05
1.633281.5060321.546023e-05
1.644231.5058981.541425e-05
1.655251.5057631.536796e-05
1.666341.5056281.532136e-05
1.677511.505491.527445e-05
1.688761.5053521.522722e-05
1.71.5052131.518000e-05
1.700081.5052121.518047e-05
1.711471.505071.525227e-05
1.722941.5049271.532454e-05
1.734491.5047831.539729e-05
1.746121.5046371.547054e-05
1.757821.504491.554427e-05
1.76961.5043421.561850e-05
1.781461.5041911.569322e-05
1.79341.5040391.576845e-05
1.81.5039551.581000e-05
1.805431.5038861.585069e-05
1.817531.5037311.594145e-05
1.829711.5035741.603282e-05
1.841971.5034161.612480e-05
1.854321.5032561.621740e-05
1.866751.5030941.631062e-05
1.879261.502931.640446e-05
1.891861.5027651.649894e-05
1.91.5026571.656000e-05
1.904541.5025971.658269e-05
1.91731.5024281.664652e-05
1.930161.5022571.671078e-05
1.943091.5020841.677547e-05
1.956121.501911.684059e-05
1.969231.5017331.690614e-05
1.982431.5015541.697214e-05
1.995721.5013731.703858e-05
21.5013141.706000e-05
2.009091.501191.703909e-05
2.022561.5010051.700811e-05
2.036121.5008181.697693e-05
2.049761.5006281.694554e-05
2.06351.5004371.691394e-05
2.077331.5002431.688213e-05
2.091261.5000471.685011e-05
2.11.4999231.683000e-05
2.105281.4998481.686904e-05
2.119391.4996481.697346e-05
2.133591.4994441.707858e-05
2.147891.4992391.718441e-05
2.162291.4990311.729095e-05
2.176781.498821.739820e-05
2.191371.4986071.750617e-05
2.21.4984811.757000e-05
2.206061.4983911.752696e-05
2.220851.4981731.742197e-05
2.235741.4979521.731628e-05
2.250721.4977291.720988e-05
2.265811.4975021.710277e-05
2.280991.4972731.699494e-05
2.296281.4970421.688639e-05
2.31.4969851.686000e-05
2.311671.4968071.686817e-05
2.327171.4965691.687902e-05
2.342771.4963291.688994e-05
2.358471.4960851.690093e-05
2.374281.4958391.691200e-05
2.390191.4955891.692314e-05
2.41.4954341.693000e-05
2.406211.4953361.702011e-05
2.422341.495081.725397e-05
2.438581.4948211.748940e-05
2.454921.4945591.772641e-05
2.471381.4942931.796500e-05
2.487941.4940241.820520e-05
2.51.4938281.838000e-05
2.504621.4937521.841974e-05
2.521411.4934761.856412e-05
2.538311.4931971.870946e-05
2.555321.4929141.885578e-05
2.572451.4926281.900308e-05
2.589691.4923381.915136e-05
2.61.4921641.924000e-05
2.607051.4920441.951431e-05
2.624531.4917472.019407e-05
2.642121.4914452.087839e-05
2.659831.491142.156729e-05
2.677661.4908312.226081e-05
2.69561.4905182.295897e-05
2.71.4904412.313000e-05
2.713671.4902013.400844e-05
2.731861.489884.848157e-05
2.750171.4895556.305170e-05
2.768611.4892267.771950e-05
2.787161.4888929.248561e-05
2.81.488660.0001027
2.805841.4885540.0001032436
2.824651.4882120.0001049926
2.843581.4878660.0001067534
2.862641.4875140.000108526
2.881831.4871590.0001103104
2.91.486820.000112
2.901151.4867980.0001119391
2.920591.4864330.0001109085
2.940171.4860640.000109871
2.959881.4856890.0001088265
2.979721.485310.000107775
2.999691.4849250.0001067164
31.4849190.0001067
3.01981.4845360.000106799
3.040041.4841410.0001069002
3.060411.4837420.0001070021
3.080931.4833370.0001071046
3.11.4829580.0001072
3.101581.4829270.0001073452
3.122371.4825110.0001092578
3.14331.482090.0001111832
3.164361.4816640.0001131216
3.185571.4812320.0001150729
3.21.4809360.0001164
3.206931.4807940.0001173005
3.228421.4803510.0001200949
3.250061.4799010.0001229081
3.271851.4794460.00012574
3.293781.4789850.000128591
3.31.4788530.0001294
3.315851.4785180.0001308903
3.338081.4780440.0001329795
3.360451.4775640.0001350827
3.382981.4770780.0001372
3.41.4767090.0001388
3.405651.4765860.0001392806
3.428481.4760870.0001412209
3.451461.4755820.0001431743
3.47461.4750690.0001451407
3.497891.474550.0001471203
3.51.4745030.0001473
3.521331.4740250.000147876
3.544931.4734920.0001485132
3.56871.4729520.0001491548
3.592621.4724050.0001498006
3.61.4722350.00015
3.61671.4718510.000149616
3.640941.4712890.0001490584
3.665341.470720.0001484971
3.689911.4701440.0001479321
3.71.4699060.0001477
3.714641.4695590.0001474364
3.739541.4689670.0001469883
3.764611.4683680.0001465371
3.789841.467760.0001460829
3.81.4675140.0001459
3.815241.4671440.0001455494
3.840821.466520.0001449612
3.866561.4658880.0001443691
3.892481.4652470.000143773
3.91.465060.0001436
3.918571.4645970.0001443055
3.944831.463940.0001453036
3.971271.4632730.0001463084
3.997891.4625970.0001473199
41.4625440.0001474
4.024691.4619130.0001528317
4.051671.4612190.0001587665
4.078821.4605160.0001647412
4.11.4599650.0001694
4.106161.4598040.0001713044
4.133691.4590820.0001798089
4.161391.4583510.0001883705
4.189291.4576090.0001969894
4.21.4573230.0002003
4.217371.4568580.0002104938
4.245631.4560970.0002270872
4.274091.4553260.0002437918
4.31.4546190.000259
4.302741.4545440.000261203
4.331581.4537530.0002843906
4.360611.452950.0003077337
4.389841.4521370.0003312332
4.41.4518530.0003394
4.419271.4513130.0003639648
4.448891.4504770.0004017321
4.478711.4496310.0004397526
4.51.4490230.0004669
4.508731.4487730.0005181407
4.538951.4479040.0006955685
4.569371.4470240.0008741857
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
—