Optical constants

Refractive index of Soda lime glass

Rubin 1985: Clear; n,k 0.31–4.6 µm

Data
formula 5 + tabulated k
Range
0.31–4.6 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–4.6 µm
Refractive index n
1.52338
Extinction coefficient k
3.89740e-07
Permittivity ε1
2.32069
Permittivity ε2
1.18744e-06
Absorption coefficient α
0.0833495 cm⁻¹
Penetration depth δ = λ/(2πk)
2.39953e+08 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: Clear; n,k 0.31–4.6 µm
soda_lime = ls.fetch_refractiveindex("glass", "soda-lime", "Rubin-clear", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(soda_lime.range_nm)  # (310, 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 0.31 to 4.6 µm.

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

Comments and conditions

Clear 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 504 wavelengths, the same grid as the API and the library
Soda lime glass, Rubin 1985: Clear; n,k 0.31–4.6 µm: n and k versus wavelength
λ (µm)nk
0.311.5539234.996000e-05
0.3121031.5533664.234613e-05
0.314221.5528153.468061e-05
0.3163511.5522722.696310e-05
0.3184971.5517361.919325e-05
0.321.5513671.375000e-05
0.3206571.5512071.325922e-05
0.3228321.5506851.163473e-05
0.3250221.550179.999211e-06
0.3272261.5496628.352603e-06
0.3294461.5491616.694826e-06
0.331.5490376.281000e-06
0.3316811.5486665.681383e-06
0.333931.5481774.878670e-06
0.3361951.5476954.070513e-06
0.3384761.547223.256874e-06
0.341.5469072.713000e-06
0.3407721.546752.589940e-06
0.3430831.5462872.221269e-06
0.345411.545831.850097e-06
0.3477531.5453791.476407e-06
0.351.5449551.118000e-06
0.3501121.5449341.111565e-06
0.3524861.5444949.747540e-07
0.3548771.5440618.370154e-07
0.3572841.5436336.983425e-07
0.3597081.5432115.587290e-07
0.361.543165.419000e-07
0.3621481.5427945.127337e-07
0.3646041.5423824.793756e-07
0.3670771.5419774.457913e-07
0.3695671.5415764.119791e-07
0.371.5415074.061000e-07
0.3720741.541184.449839e-07
0.3745981.540794.923040e-07
0.3771381.5404055.399451e-07
0.3796961.5400255.879093e-07
0.381.539985.936000e-07
0.3822721.5396495.229881e-07
0.3848651.5392794.424004e-07
0.3874751.5389133.612661e-07
0.391.5385672.828000e-07
0.3901041.5385532.819912e-07
0.392751.5381962.613257e-07
0.3954141.5378452.405200e-07
0.3980961.5374982.195732e-07
0.41.5372552.047000e-07
0.4007961.5371552.057744e-07
0.4035141.5368172.094445e-07
0.4062511.5364832.131394e-07
0.4090071.5361542.168594e-07
0.411.5360372.182000e-07
0.4117811.5358282.199278e-07
0.4145741.5355072.226371e-07
0.4173861.535192.253647e-07
0.421.5349012.279000e-07
0.4202171.5348772.281565e-07
0.4230681.5345692.315199e-07
0.4259371.5342642.349060e-07
0.4288261.5339622.383152e-07
0.431.5338422.397000e-07
0.4317351.5336652.387457e-07
0.4346641.5333722.371351e-07
0.4376121.5330822.355135e-07
0.441.5328512.342000e-07
0.440581.5327962.317811e-07
0.4435681.5325132.193194e-07
0.4465771.5322352.067732e-07
0.4496061.5319591.941419e-07
0.451.5319241.925000e-07
0.4526561.5316871.857009e-07
0.4557261.5314191.778409e-07
0.4588171.5311541.699276e-07
0.461.5310531.669000e-07
0.4619291.5308921.674981e-07
0.4650631.5306331.684694e-07
0.4682171.5303781.694473e-07
0.471.5302361.700000e-07
0.4713931.5301261.697632e-07
0.474591.5298771.692196e-07
0.477811.5296311.686724e-07
0.481.5294661.683000e-07
0.481051.5293881.669449e-07
0.4843131.5291481.627357e-07
0.4875981.5289111.584980e-07
0.491.5287411.554000e-07
0.4909061.5286771.548384e-07
0.4942361.5284461.527740e-07
0.4975881.5282171.506955e-07
0.51.5280561.492000e-07
0.5009631.5279921.492674e-07
0.5043611.5277691.495053e-07
0.5077821.5275491.497447e-07
0.511.5274081.499000e-07
0.5112261.5273311.509178e-07
0.5146941.5271171.537959e-07
0.5181851.5269041.566935e-07
0.521.5267951.582000e-07
0.52171.5266951.613785e-07
0.5252381.5264871.679957e-07
0.5288011.5262831.746578e-07
0.531.5262141.769000e-07
0.5323881.526081.821293e-07
0.5359991.525881.900376e-07
0.5396351.5256831.979997e-07
0.541.5256631.988000e-07
0.5432951.5254872.057851e-07
0.546981.5252942.135975e-07
0.551.5251392.200000e-07
0.550691.5251042.222703e-07
0.5544251.5249152.345593e-07
0.5581861.5247292.469318e-07
0.561.524642.529000e-07
0.5619721.5245452.631942e-07
0.5657841.5243632.830918e-07
0.5696221.5241823.031243e-07
0.571.5241653.051000e-07
0.5734851.5240053.229442e-07
0.5773751.5238293.428605e-07
0.581.5237123.563000e-07
0.5812911.5236553.619820e-07
0.5852341.5234833.793305e-07
0.5892041.5233123.967967e-07
0.591.5232794.003000e-07
0.59321.5231444.177417e-07
0.5972241.5229784.396704e-07
0.61.5228654.548000e-07
0.6012751.5228134.633286e-07
0.6053531.522654.906130e-07
0.6094591.5224895.180825e-07
0.611.5224685.217000e-07
0.6135931.522335.488284e-07
0.6177551.5221735.802511e-07
0.621.5220895.972000e-07
0.6219451.5220176.155051e-07
0.6261641.5218636.552020e-07
0.631.5217256.913000e-07
0.6304111.521716.947572e-07
0.6346871.5215597.307184e-07
0.6389921.5214097.669236e-07
0.641.5213757.754000e-07
0.6433261.5212627.959234e-07
0.647691.5211158.228470e-07
0.651.5210398.371000e-07
0.6520831.520978.524529e-07
0.6565061.5208278.850505e-07
0.661.5207159.108000e-07
0.6609591.5206859.202192e-07
0.6654421.5205449.642444e-07
0.6699561.5204051.008568e-06
0.671.5204031.009000e-06
0.67451.5202671.048602e-06
0.6790751.520131.088863e-06
0.681.5201031.097000e-06
0.6836811.5199951.119825e-06
0.6883191.5198611.148576e-06
0.691.5198131.159000e-06
0.6929881.5197281.181407e-06
0.6976881.5195971.216660e-06
0.71.5195331.234000e-06
0.702421.5194671.261835e-06
0.7071851.5193371.316626e-06
0.711.5192621.349000e-06
0.7119821.5192091.372185e-06
0.7168111.5190831.428688e-06
0.721.5191.466000e-06
0.7216731.5189571.485908e-06
0.7265681.5188321.544159e-06
0.731.5187461.585000e-06
0.7314961.5187091.603104e-06
0.7364581.5185861.663141e-06
0.741.51851.706000e-06
0.7414531.5184651.724020e-06
0.7464821.5183441.786382e-06
0.751.5182611.830000e-06
0.7515461.5182251.849476e-06
0.7566431.5181061.913707e-06
0.761.5180291.956000e-06
0.7617761.5179891.978906e-06
0.7669431.5178722.045560e-06
0.771.5178042.085000e-06
0.7721451.5177562.112668e-06
0.7773821.5176412.180230e-06
0.781.5175842.214000e-06
0.7826551.5175272.248781e-06
0.7879641.5174142.318325e-06
0.791.5173712.345000e-06
0.7933081.5173012.388671e-06
0.7986891.5171892.459699e-06
0.81.5171622.477000e-06
0.8041071.5170792.534495e-06
0.8095611.5169682.610853e-06
0.811.516962.617000e-06
0.8150521.5168592.686719e-06
0.821.5167612.755000e-06
0.8205811.516752.762837e-06
0.8261461.5166422.837977e-06
0.831.5165682.890000e-06
0.831751.5165352.913101e-06
0.8373921.5164282.987571e-06
0.841.5163793.022000e-06
0.8430721.5163223.061318e-06
0.848791.5162163.134514e-06
0.851.5161943.150000e-06
0.8545471.5161113.206388e-06
0.861.5160133.274000e-06
0.8603441.5160073.278125e-06
0.8661791.5159033.348153e-06
0.871.5158363.394000e-06
0.8720551.51583.417833e-06
0.877971.5156973.486448e-06
0.881.5156623.510000e-06
0.8839251.5155953.553566e-06
0.889921.5154933.620116e-06
0.891.5154923.621000e-06
0.8959571.5153923.684140e-06
0.91.5153243.727000e-06
0.9020341.5152913.745304e-06
0.9081521.515193.800370e-06
0.911.515163.817000e-06
0.9143121.515093.855378e-06
0.921.5149993.906000e-06
0.9205141.5149913.910573e-06
0.9267581.5148913.966142e-06
0.931.514843.995000e-06
0.9330441.5147924.021784e-06
0.9393721.5146944.077477e-06
0.941.5146844.083000e-06
0.9457441.5145954.132973e-06
0.951.514534.170000e-06
0.9521591.5144974.189647e-06
0.9586171.5143994.248418e-06
0.961.5143784.261000e-06
0.965121.5143024.306052e-06
0.971.5142294.349000e-06
0.9716661.5142044.362993e-06
0.9782571.5141074.418355e-06
0.981.5140824.433000e-06
0.9848921.5140114.472625e-06
0.991.5139374.514000e-06
0.9915721.5139144.526108e-06
0.9982981.5138174.577896e-06
11.5137934.591000e-06
1.005071.5137214.617361e-06
1.011891.5136254.652811e-06
1.018751.5135294.688502e-06
1.025661.5134334.724434e-06
1.032621.5133374.760610e-06
1.039621.5132414.797032e-06
1.046671.5131454.833700e-06
1.053771.5130494.870618e-06
1.060921.5129534.907785e-06
1.068121.5128574.945205e-06
1.075361.5127624.982879e-06
1.082661.5126665.020808e-06
1.091.512575.058994e-06
1.097391.5124745.097440e-06
1.11.512445.111000e-06
1.104841.5123785.123718e-06
1.112331.5122815.143427e-06
1.119871.5121855.163270e-06
1.127471.5120885.183248e-06
1.135121.5119925.203361e-06
1.142821.5118955.223610e-06
1.150571.5117985.243997e-06
1.158371.51175.264522e-06
1.166231.5116035.285186e-06
1.174141.5115055.305990e-06
1.18211.5114075.326936e-06
1.190121.5113095.348023e-06
1.19821.511215.369254e-06
1.21.5111885.374000e-06
1.206321.5111115.372672e-06
1.214511.5110125.370954e-06
1.222741.5109125.369224e-06
1.231041.5108125.367482e-06
1.239391.5107115.365729e-06
1.247791.5106115.363963e-06
1.256261.5105095.362186e-06
1.264781.5104075.360397e-06
1.273361.5103055.358595e-06
1.281991.5102025.356781e-06
1.290691.5100995.354955e-06
1.299441.5099955.353117e-06
1.31.5099895.353000e-06
1.308261.5098915.318811e-06
1.317131.5097865.282074e-06
1.326071.5096815.245087e-06
1.335061.5095745.207849e-06
1.344121.5094685.170359e-06
1.353231.509365.132615e-06
1.362411.5092525.094615e-06
1.371651.5091445.056356e-06
1.380961.5090345.017839e-06
1.390321.5089244.979060e-06
1.399751.5088134.940018e-06
1.41.508814.939000e-06
1.409251.5087014.873798e-06
1.418811.5085894.806408e-06
1.428431.5084764.738562e-06
1.438121.5083624.670255e-06
1.447871.5082474.601485e-06
1.45771.5081314.532248e-06
1.467581.5080144.462542e-06
1.477541.5078974.392363e-06
1.487561.5077784.321708e-06
1.497651.5076594.250574e-06
1.51.5076314.234000e-06
1.507811.5075384.190356e-06
1.518031.5074174.133186e-06
1.528331.5072944.075627e-06
1.53871.5071714.017678e-06
1.549131.5070463.959336e-06
1.559641.506923.900599e-06
1.570221.5067933.841463e-06
1.580871.5066663.781926e-06
1.591591.5065363.721985e-06
1.61.5064353.675000e-06
1.602391.5064063.674546e-06
1.613261.5062753.672481e-06
1.62421.5061423.670402e-06
1.635221.5060083.668308e-06
1.646311.5058733.666201e-06
1.657481.5057363.664079e-06
1.668721.5055983.661943e-06
1.680041.5054593.659793e-06
1.691431.5053193.657628e-06
1.71.5052133.656000e-06
1.702911.5051773.663673e-06
1.714461.5050333.694167e-06
1.726091.5048883.724868e-06
1.737791.5047423.755776e-06
1.749581.5045943.786895e-06
1.761451.5044443.818224e-06
1.77341.5042943.849766e-06
1.785431.5041413.881522e-06
1.797541.5039873.913494e-06
1.81.5039553.920000e-06
1.809731.5038313.946266e-06
1.8221.5036733.979409e-06
1.834361.5035144.012776e-06
1.84681.5033534.046371e-06
1.859331.503194.080193e-06
1.871941.5030264.114244e-06
1.884641.502864.148527e-06
1.897421.5026914.183042e-06
1.91.5026574.190000e-06
1.910291.5025214.213982e-06
1.923251.5023494.244173e-06
1.93631.5021754.274568e-06
1.949431.5019994.305170e-06
1.962651.5018224.335979e-06
1.975961.5016424.366997e-06
1.989371.501464.398225e-06
21.5013144.423000e-06
2.002861.5012754.424516e-06
2.016451.5010894.431716e-06
2.030121.5009014.438965e-06
2.043891.500714.446264e-06
2.057761.5005174.453611e-06
2.071711.5003224.461009e-06
2.085771.5001244.468456e-06
2.099911.4999244.475955e-06
2.11.4999234.476000e-06
2.114161.4997224.602995e-06
2.12851.4995174.731626e-06
2.142941.499314.861129e-06
2.157471.4991014.991511e-06
2.17211.4988885.122777e-06
2.186841.4986745.254934e-06
2.21.4984815.373000e-06
2.201671.4984565.368138e-06
2.21661.4982365.324681e-06
2.231641.4980135.280929e-06
2.246781.4977885.236881e-06
2.262021.4975595.192533e-06
2.277361.4973285.147885e-06
2.292811.4970945.102934e-06
2.31.4969855.082000e-06
2.308361.4968575.106238e-06
2.324021.4966185.151645e-06
2.339781.4963755.197359e-06
2.355651.4961295.243384e-06
2.371631.495885.289720e-06
2.387711.4956285.336371e-06
2.41.4954345.372000e-06
2.403911.4953735.409221e-06
2.420221.4951145.564449e-06
2.436631.4948525.720730e-06
2.453161.4945875.878071e-06
2.46981.4943196.036479e-06
2.486551.4940476.195962e-06
2.51.4938286.324000e-06
2.503421.4937726.343099e-06
2.52041.4934936.438020e-06
2.537491.4932116.533584e-06
2.55471.4929256.629797e-06
2.572031.4926356.726662e-06
2.589481.4923416.824184e-06
2.61.4921646.883000e-06
2.607041.4920447.116601e-06
2.624731.4917437.703156e-06
2.642531.4914388.293690e-06
2.660451.491138.888230e-06
2.67851.4908179.486802e-06
2.696671.49051.008943e-05
2.71.4904411.020000e-05
2.714961.4901791.838944e-05
2.733371.4898542.847181e-05
2.751911.4895243.862257e-05
2.770581.4891914.884218e-05
2.789371.4888535.913110e-05
2.81.488666.495000e-05
2.808291.488516.614072e-05
2.827341.4881636.887606e-05
2.846521.4878127.162996e-05
2.865831.4874567.440254e-05
2.885261.4870957.719392e-05
2.91.486827.931000e-05
2.904831.4867297.906876e-05
2.924541.4863597.808557e-05
2.944371.4859847.709571e-05
2.964351.4856047.609914e-05
2.984451.4852197.509580e-05
31.4849197.432000e-05
3.00471.4848287.431624e-05
3.025081.4844337.429994e-05
3.04561.4840337.428352e-05
3.066251.4836277.426700e-05
3.087051.4832167.425036e-05
3.11.4829587.424000e-05
3.107991.4827997.484968e-05
3.129071.4823777.645818e-05
3.15031.4819497.807758e-05
3.171661.4815157.970797e-05
3.193181.4810768.134942e-05
3.21.4809368.187000e-05
3.214841.4806318.358209e-05
3.236641.480188.609850e-05
3.25861.4797238.863197e-05
3.28071.479269.118262e-05
3.31.4788539.341000e-05
3.302951.4787919.359209e-05
3.325351.4783169.497439e-05
3.347911.4778349.636607e-05
3.370621.4773459.776719e-05
3.393481.4768519.917781e-05
3.41.4767099.958000e-05
3.41651.4763490.0001007217
3.439671.4758410.0001023254
3.4631.4753260.0001039399
3.486491.4748050.0001055653
3.51.4745030.0001065
3.510141.4742760.0001065811
3.533951.473740.0001067716
3.557921.4731970.0001069634
3.582051.4726470.0001071564
3.61.4722350.0001073
3.606351.4720890.0001071476
3.630811.4715240.0001065605
3.655441.4709520.0001059694
3.680231.4703710.0001053744
3.71.4699060.0001049
3.70521.4697830.0001047961
3.730331.4691870.0001042934
3.755631.4685830.0001037874
3.781111.4679710.0001032779
3.81.4675140.0001029
3.806751.467350.000102927
3.832571.4667220.0001030303
3.858571.4660840.0001031343
3.884741.4654380.000103239
3.91.465060.0001033
3.911091.4647840.0001035995
3.937621.4641210.0001043157
3.964331.4634480.0001050369
3.991221.4627670.0001057629
41.4625440.000106
4.018291.4620770.0001089629
4.045551.4613770.0001133783
4.072991.4606680.0001178237
4.11.4599650.0001222
4.100611.4599490.0001223304
4.128431.459220.0001282548
4.156431.4584820.0001342194
4.184621.4577340.0001402244
4.21.4573230.0001435
4.213011.4569750.000148
4.241581.4562070.0001578874
4.270351.4554280.0001678419
4.299321.4546380.0001778639
4.31.4546190.0001781
4.328481.4538380.0001913714
4.357841.4530270.000205053
4.38741.4522050.0002188274
4.41.4518530.0002247
4.417161.4513720.0002372419
4.447121.4505270.0002591435
4.477281.4496720.0002811936
4.51.4490230.0002978
4.507651.4488040.0003319185
4.538231.4479250.0004682522
4.569011.4470340.0006055106
4.61.4461310.0007437

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
—