Optical constants

Refractive index of Soda lime glass

Rubin 1985: Low-iron; 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
8.83716e-08
Permittivity ε1
2.32069
Permittivity ε2
2.69247e-07
Absorption coefficient α
0.0188991 cm⁻¹
Penetration depth δ = λ/(2πk)
1.05825e+09 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: Low-iron; n,k 0.31–4.6 µm
soda_lime = ls.fetch_refractiveindex("glass", "soda-lime", "Rubin-lowiron", 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

Low-iron 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: Low-iron; n,k 0.31–4.6 µm: n and k versus wavelength
λ (µm)nk
0.311.5539231.191000e-05
0.3121031.5533661.004953e-05
0.314221.5528158.176445e-06
0.3163511.5522726.290653e-06
0.3184971.5517364.392070e-06
0.321.5513673.062000e-06
0.3206571.5512072.952726e-06
0.3228321.5506852.591026e-06
0.3250221.550172.226873e-06
0.3272261.5496621.860250e-06
0.3294461.5491611.491140e-06
0.331.5490371.399000e-06
0.3316811.5486661.265750e-06
0.333931.5481771.087367e-06
0.3361951.5476959.077737e-07
0.3384761.547227.269625e-07
0.341.5469076.061000e-07
0.3407721.546755.783015e-07
0.3430831.5462874.950211e-07
0.345411.545834.111758e-07
0.3477531.5453793.267618e-07
0.351.5449552.458000e-07
0.3501121.5449342.443545e-07
0.3524861.5444942.136250e-07
0.3548771.5440611.826870e-07
0.3572841.5436331.515391e-07
0.3597081.5432111.201800e-07
0.361.543161.164000e-07
0.3621481.5427941.113743e-07
0.3646041.5423821.056263e-07
0.3670771.5419779.983929e-08
0.3695671.5415769.401305e-08
0.371.5415079.300000e-08
0.3720741.541181.008597e-07
0.3745981.540791.104247e-07
0.3771381.5404051.200546e-07
0.3796961.5400251.297497e-07
0.381.539981.309000e-07
0.3822721.5396491.153849e-07
0.3848651.5392799.767792e-08
0.3874751.5389137.985082e-08
0.391.5385676.261000e-08
0.3901041.5385536.243488e-08
0.392751.5381965.796044e-08
0.3954141.5378455.345565e-08
0.3980961.5374984.892030e-08
0.41.5372554.570000e-08
0.4007961.5371554.605257e-08
0.4035141.5368174.725689e-08
0.4062511.5364834.846938e-08
0.4090071.5361544.969009e-08
0.411.5360375.013000e-08
0.4117811.5358285.090662e-08
0.4145741.5355075.212440e-08
0.4173861.535195.335044e-08
0.421.5349015.449000e-08
0.4202171.5348775.458327e-08
0.4230681.5345695.580604e-08
0.4259371.5342645.703711e-08
0.4288261.5339625.827653e-08
0.431.5338425.878000e-08
0.4317351.5336655.742142e-08
0.4346641.5333725.512847e-08
0.4376121.5330825.281996e-08
0.441.5328515.095000e-08
0.440581.5327965.046100e-08
0.4435681.5325134.794177e-08
0.4465771.5322354.540545e-08
0.4496061.5319594.285193e-08
0.451.5319244.252000e-08
0.4526561.5316874.012705e-08
0.4557261.5314193.736069e-08
0.4588171.5311543.457557e-08
0.461.5310533.351000e-08
0.4619291.5308923.413514e-08
0.4650631.5306333.515031e-08
0.4682171.5303783.617236e-08
0.471.5302363.675000e-08
0.4713931.5301263.719577e-08
0.474591.5298773.821894e-08
0.477811.5296313.924905e-08
0.481.5294663.995000e-08
0.481051.5293883.887537e-08
0.4843131.5291483.553741e-08
0.4875981.5289113.217681e-08
0.491.5287412.972000e-08
0.4909061.5286772.997814e-08
0.4942361.5284463.092712e-08
0.4975881.5282173.188254e-08
0.51.5280563.257000e-08
0.5009631.5279923.284059e-08
0.5043611.5277693.379542e-08
0.5077821.5275493.475673e-08
0.511.5274083.538000e-08
0.5112261.5273313.572089e-08
0.5146941.5271173.668488e-08
0.5181851.5269043.765541e-08
0.521.5267953.816000e-08
0.52171.5266953.862742e-08
0.5252381.5264873.960055e-08
0.5288011.5262834.058027e-08
0.531.5262144.091000e-08
0.5323881.526084.155709e-08
0.5359991.525884.253571e-08
0.5396351.5256834.352096e-08
0.541.5256634.362000e-08
0.5432951.5254874.450961e-08
0.546981.5252944.550459e-08
0.551.5251394.632000e-08
0.550691.5251044.756004e-08
0.5544251.5249155.427233e-08
0.5581861.5247296.103014e-08
0.561.524646.429000e-08
0.5619721.5245456.486584e-08
0.5657841.5243636.597889e-08
0.5696221.5241826.709948e-08
0.571.5241656.721000e-08
0.5734851.5240057.374824e-08
0.5773751.5238298.104568e-08
0.581.5237128.597000e-08
0.5812911.5236558.637807e-08
0.5852341.5234838.762401e-08
0.5892041.5233128.887840e-08
0.591.5232798.913000e-08
0.59321.5231449.539300e-08
0.5972241.5229781.032672e-07
0.61.5228651.087000e-07
0.6012751.5228131.091334e-07
0.6053531.522651.105201e-07
0.6094591.5224891.119162e-07
0.611.5224681.121000e-07
0.6135931.522331.194301e-07
0.6177551.5221731.279204e-07
0.621.5220891.325000e-07
0.6219451.5220171.365656e-07
0.6261641.5218631.453825e-07
0.631.5217251.534000e-07
0.6304111.521711.542838e-07
0.6346871.5215591.634772e-07
0.6389921.5214091.727330e-07
0.641.5213751.749000e-07
0.6433261.5212621.762638e-07
0.647691.5211151.780529e-07
0.651.5210391.790000e-07
0.6520831.520971.836454e-07
0.6565061.5208271.935088e-07
0.661.5207152.013000e-07
0.6609591.5206852.034965e-07
0.6654421.5205442.137631e-07
0.6699561.5204052.240993e-07
0.671.5204032.242000e-07
0.67451.5202672.347307e-07
0.6790751.520132.454363e-07
0.681.5201032.476000e-07
0.6836811.5199952.494407e-07
0.6883191.5198612.517594e-07
0.691.5198132.526000e-07
0.6929881.5197282.598598e-07
0.6976881.5195972.712820e-07
0.71.5195332.769000e-07
0.702421.5194672.829026e-07
0.7071851.5193372.947184e-07
0.711.5192623.017000e-07
0.7119821.5192093.067333e-07
0.7168111.5190833.189997e-07
0.721.5193.271000e-07
0.7216731.5189573.314497e-07
0.7265681.5188323.441768e-07
0.731.5187463.531000e-07
0.7314961.5187093.570650e-07
0.7364581.5185863.702134e-07
0.741.51853.796000e-07
0.7414531.5184653.835382e-07
0.7464821.5183443.971674e-07
0.751.5182614.067000e-07
0.7515461.5182254.109817e-07
0.7566431.5181064.251022e-07
0.761.5180294.344000e-07
0.7617761.5179894.394250e-07
0.7669431.5178724.540478e-07
0.771.5178044.627000e-07
0.7721451.5177564.688984e-07
0.7773821.5176414.840344e-07
0.781.5175844.916000e-07
0.7826551.5175274.994059e-07
0.7879641.5174145.150133e-07
0.791.5173715.210000e-07
0.7933081.5173015.309252e-07
0.7986891.5171895.470680e-07
0.81.5171625.510000e-07
0.8041071.5170795.635667e-07
0.8095611.5169685.802565e-07
0.811.516965.816000e-07
0.8150521.5168595.973626e-07
0.821.5167616.128000e-07
0.8205811.516756.146460e-07
0.8261461.5166426.323457e-07
0.831.5165686.446000e-07
0.831751.5165356.502703e-07
0.8373921.5164286.685494e-07
0.841.5163796.770000e-07
0.8430721.5163226.871060e-07
0.848791.5162167.059197e-07
0.851.5161947.099000e-07
0.8545471.5161117.141746e-07
0.861.5160137.193000e-07
0.8603441.5160077.204000e-07
0.8661791.5159037.390740e-07
0.871.5158367.513000e-07
0.8720551.51587.587376e-07
0.877971.5156977.801501e-07
0.881.5156627.875000e-07
0.8839251.5155957.914248e-07
0.889921.5154937.974204e-07
0.891.5154927.975000e-07
0.8959571.5153928.185269e-07
0.91.5153248.328000e-07
0.9020341.5152918.348745e-07
0.9081521.515198.411153e-07
0.911.515168.430000e-07
0.9143121.515098.586099e-07
0.921.5149998.792000e-07
0.9205141.5149918.797395e-07
0.9267581.5148918.862954e-07
0.931.514848.897000e-07
0.9330441.5147928.928959e-07
0.9393721.5146948.995410e-07
0.941.5146849.002000e-07
0.9457441.5145959.216829e-07
0.951.514539.376000e-07
0.9521591.5144979.399317e-07
0.9586171.5143999.469068e-07
0.961.5143789.484000e-07
0.965121.5143029.539291e-07
0.971.5142299.592000e-07
0.9716661.5142049.656136e-07
0.9782571.5141079.909879e-07
0.981.5140829.977000e-07
0.9848921.5140111.003228e-06
0.991.5139371.009000e-06
0.9915721.5139141.010730e-06
0.9982981.5138171.018128e-06
11.5137931.020000e-06
1.005071.5137211.025678e-06
1.011891.5136251.033313e-06
1.018751.5135291.041000e-06
1.025661.5134331.048740e-06
1.032621.5133371.056531e-06
1.039621.5132411.064376e-06
1.046671.5131451.072274e-06
1.053771.5130491.080225e-06
1.060921.5129531.088231e-06
1.068121.5128571.096290e-06
1.075361.5127621.104405e-06
1.082661.5126661.112574e-06
1.091.512571.120799e-06
1.097391.5124741.129079e-06
1.11.512441.132000e-06
1.104841.5123781.135772e-06
1.112331.5122811.141617e-06
1.119871.5121851.147502e-06
1.127471.5120881.153427e-06
1.135121.5119921.159392e-06
1.142821.5118951.165398e-06
1.150571.5117981.171444e-06
1.158371.51171.177531e-06
1.166231.5116031.183660e-06
1.174141.5115051.189830e-06
1.18211.5114071.196042e-06
1.190121.5113091.202296e-06
1.19821.511211.208592e-06
1.21.5111881.210000e-06
1.206321.5111111.210063e-06
1.214511.5110121.210145e-06
1.222741.5109121.210227e-06
1.231041.5108121.210310e-06
1.239391.5107111.210394e-06
1.247791.5106111.210478e-06
1.256261.5105091.210563e-06
1.264781.5104071.210648e-06
1.273361.5103051.210734e-06
1.281991.5102021.210820e-06
1.290691.5100991.210907e-06
1.299441.5099951.210994e-06
1.31.5099891.211000e-06
1.308261.5098911.203320e-06
1.317131.5097861.195067e-06
1.326071.5096811.186759e-06
1.335061.5095741.178394e-06
1.344121.5094681.169972e-06
1.353231.509361.161493e-06
1.362411.5092521.152957e-06
1.371651.5091441.144363e-06
1.380961.5090341.135710e-06
1.390321.5089241.126999e-06
1.399751.5088131.118229e-06
1.41.508811.118000e-06
1.409251.5087011.103249e-06
1.418811.5085891.088002e-06
1.428431.5084761.072653e-06
1.438121.5083621.057199e-06
1.447871.5082471.041640e-06
1.45771.5081311.025976e-06
1.467581.5080141.010206e-06
1.477541.5078979.943283e-07
1.487561.5077789.783432e-07
1.497651.5076599.622497e-07
1.51.5076319.585000e-07
1.507811.5075389.471323e-07
1.518031.5074179.322413e-07
1.528331.5072949.172494e-07
1.53871.5071719.021557e-07
1.549131.5070468.869597e-07
1.559641.506928.716606e-07
1.570221.5067938.562577e-07
1.580871.5066668.407504e-07
1.591591.5065368.251378e-07
1.61.5064358.129000e-07
1.602391.5064068.133112e-07
1.613261.5062758.151806e-07
1.62421.5061428.170627e-07
1.635221.5060088.189576e-07
1.646311.5058738.208654e-07
1.657481.5057368.227860e-07
1.668721.5055988.247198e-07
1.680041.5054598.266666e-07
1.691431.5053198.286266e-07
1.71.5052138.301000e-07
1.702911.5051778.333874e-07
1.714461.5050338.464512e-07
1.726091.5048888.596036e-07
1.737791.5047428.728451e-07
1.749581.5045948.861766e-07
1.761451.5044448.995984e-07
1.77341.5042949.131113e-07
1.785431.5041419.267158e-07
1.797541.5039879.404126e-07
1.81.5039559.432000e-07
1.809731.5038319.601072e-07
1.8221.5036739.814415e-07
1.834361.5035141.002921e-06
1.84681.5033531.024545e-06
1.859331.503191.046317e-06
1.871941.5030261.068236e-06
1.884641.502861.090303e-06
1.897421.5026911.112521e-06
1.91.5026571.117000e-06
1.910291.5025211.153437e-06
1.923251.5023491.199305e-06
1.93631.5021751.245486e-06
1.949431.5019991.291979e-06
1.962651.5018221.338787e-06
1.975961.5016421.385914e-06
1.989371.501461.433359e-06
21.5013141.471000e-06
2.002861.5012751.478667e-06
2.016451.5010891.515075e-06
2.030121.5009011.551730e-06
2.043891.500711.588634e-06
2.057761.5005171.625789e-06
2.071711.5003221.663195e-06
2.085771.5001241.700855e-06
2.099911.4999241.738770e-06
2.11.4999231.739000e-06
2.114161.4997221.779774e-06
2.12851.4995171.821074e-06
2.142941.499311.862654e-06
2.157471.4991011.904515e-06
2.17211.4988881.946661e-06
2.186841.4986741.989092e-06
2.21.4984812.027000e-06
2.201671.4984562.033249e-06
2.21661.4982362.089101e-06
2.231641.4980132.145332e-06
2.246781.4977882.201944e-06
2.262021.4975592.258940e-06
2.277361.4973282.316323e-06
2.292811.4970942.374095e-06
2.31.4969852.401000e-06
2.308361.4968572.440032e-06
2.324021.4966182.513152e-06
2.339781.4963752.586768e-06
2.355651.4961292.660883e-06
2.371631.495882.735501e-06
2.387711.4956282.810625e-06
2.41.4954342.868000e-06
2.403911.4953732.890403e-06
2.420221.4951142.983833e-06
2.436631.4948523.077897e-06
2.453161.4945873.172600e-06
2.46981.4943193.267944e-06
2.486551.4940473.363935e-06
2.51.4938283.441000e-06
2.503421.4937723.516235e-06
2.52041.4934933.890144e-06
2.537491.4932114.266589e-06
2.55471.4929254.645587e-06
2.572031.4926355.027157e-06
2.589481.4923415.411314e-06
2.61.4921645.643000e-06
2.607041.4920445.890405e-06
2.624731.4917436.511619e-06
2.642531.4914387.137047e-06
2.660451.491137.766718e-06
2.67851.4908178.400659e-06
2.696671.49059.038900e-06
2.71.4904419.156000e-06
2.714961.4901792.059041e-05
2.733371.4898543.466779e-05
2.751911.4895244.884065e-05
2.770581.4891916.310965e-05
2.789371.4888537.747544e-05
2.81.488668.560000e-05
2.808291.488518.658259e-05
2.827341.4881638.883982e-05
2.846521.4878129.111236e-05
2.865831.4874569.340032e-05
2.885261.4870959.570379e-05
2.91.486829.745000e-05
2.904831.4867299.724357e-05
2.924541.4863599.640224e-05
2.944371.4859849.555521e-05
2.964351.4856049.470243e-05
2.984451.4852199.384386e-05
31.4849199.318000e-05
3.00471.4848289.326030e-05
3.025081.4844339.360881e-05
3.04561.4840339.395968e-05
3.066251.4836279.431293e-05
3.087051.4832169.466858e-05
3.11.4829589.489000e-05
3.107991.4827999.549808e-05
3.129071.4823779.710236e-05
3.15031.4819499.871752e-05
3.171661.4815150.0001003436
3.193181.4810760.0001019808
3.21.4809360.0001025
3.214841.4806310.0001040281
3.236641.480180.0001062741
3.25861.4797230.0001085354
3.28071.479260.000110812
3.31.4788530.0001128
3.302951.4787910.0001131601
3.325351.4783160.0001158933
3.347911.4778340.0001186451
3.370621.4773450.0001214155
3.393481.4768510.0001242047
3.41.4767090.000125
3.41651.4763490.0001258085
3.439671.4758410.000126944
3.4631.4753260.0001280872
3.486491.4748050.0001292382
3.51.4745030.0001299
3.510141.4742760.0001302448
3.533951.473740.0001310543
3.557921.4731970.0001318693
3.582051.4726470.0001326898
3.61.4722350.0001333
3.606351.4720890.0001332111
3.630811.4715240.0001328686
3.655441.4709520.0001325238
3.680231.4703710.0001321767
3.71.4699060.0001319
3.70521.4697830.0001317077
3.730331.4691870.0001307778
3.755631.4685830.0001298416
3.781111.4679710.0001288991
3.81.4675140.0001282
3.806751.467350.0001279299
3.832571.4667220.0001268971
3.858571.4660840.0001258572
3.884741.4654380.0001248104
3.91.465060.0001242
3.911091.4647840.0001244773
3.937621.4641210.0001251405
3.964331.4634480.0001258082
3.991221.4627670.0001264804
41.4625440.0001267
4.018291.4620770.0001302299
4.045551.4613770.0001354902
4.072991.4606680.0001407863
4.11.4599650.000146
4.100611.4599490.0001461415
4.128431.459220.0001525665
4.156431.4584820.0001590351
4.184621.4577340.0001655476
4.21.4573230.0001691
4.213011.4569750.0001747315
4.241581.4562070.000187105
4.270351.4554280.0001995625
4.299321.4546380.0002121045
4.31.4546190.0002124
4.328481.4538380.0002319369
4.357841.4530270.0002520776
4.38741.4522050.000272355
4.41.4518530.000281
4.417161.4513720.0002955321
4.447121.4505270.0003209092
4.477281.4496720.0003464584
4.51.4490230.0003657
4.507651.4488040.000418366
4.538231.4479250.0006288133
4.569011.4470340.0008406881
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
—