Optical constants

Refractive index of Soda lime glass

Rubin 1985: Grey; 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
6.32928e-06
Permittivity ε1
2.32069
Permittivity ε2
1.92838e-05
Absorption coefficient α
1.35358 cm⁻¹
Penetration depth δ = λ/(2πk)
1.47757e+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: Grey; n,k 0.32–4.6 µm
soda_lime = ls.fetch_refractiveindex("glass", "soda-lime", "Rubin-grey", 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

Grey 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: Grey; n,k 0.32–4.6 µm: n and k versus wavelength
λ (µm)nk
0.321.5513677.310000e-05
0.3221451.5508496.263936e-05
0.3243041.5503385.210860e-05
0.3264781.5498334.150725e-05
0.3286661.5493363.083485e-05
0.331.5490372.433000e-05
0.3308691.5488442.333737e-05
0.3330871.5483592.080471e-05
0.335321.547881.825506e-05
0.3375671.5474081.568833e-05
0.339831.5469421.310439e-05
0.341.5469071.291000e-05
0.3421081.5464811.157674e-05
0.3444011.5460271.012614e-05
0.3467091.5455798.665818e-06
0.3490331.5451367.195707e-06
0.351.5449556.584000e-06
0.3513731.5446996.200517e-06
0.3537281.5442685.542481e-06
0.3560991.5438434.880033e-06
0.3584861.5434234.213146e-06
0.361.543163.790000e-06
0.3608881.5430083.717509e-06
0.3633071.5425993.520122e-06
0.3657431.5421953.321412e-06
0.3681941.5417963.121370e-06
0.371.5415072.974000e-06
0.3706621.5414023.000808e-06
0.3731461.5410143.101429e-06
0.3756481.540633.202725e-06
0.3781651.5402513.304699e-06
0.381.539983.379000e-06
0.38071.5398783.425001e-06
0.3832521.5395093.592651e-06
0.3858211.5391443.761425e-06
0.3884071.5387853.931331e-06
0.391.5385674.036000e-06
0.391011.538433.870720e-06
0.3936311.5380793.441947e-06
0.396271.5377333.010301e-06
0.3989261.5373922.575761e-06
0.41.5372552.400000e-06
0.40161.5370552.474061e-06
0.4042911.5367222.598693e-06
0.4070011.5363932.724160e-06
0.4097291.5360682.850469e-06
0.411.5360372.863000e-06
0.4124761.5357482.974901e-06
0.415241.5354323.099867e-06
0.4180241.5351193.225671e-06
0.421.5349013.315000e-06
0.4208261.5348113.354464e-06
0.4236461.5345073.489294e-06
0.4264861.5342063.625028e-06
0.4293451.5339093.761671e-06
0.431.5338423.793000e-06
0.4322221.5336163.874562e-06
0.4351191.5333273.980885e-06
0.4380361.5330414.087921e-06
0.441.5328514.160000e-06
0.4409721.5327594.176039e-06
0.4439281.532484.224809e-06
0.4469031.5322054.273905e-06
0.4498991.5319334.323331e-06
0.451.5319244.325000e-06
0.4529141.5316644.371340e-06
0.455951.5313994.419609e-06
0.4590061.5311374.468201e-06
0.461.5310534.484000e-06
0.4620831.5308794.509621e-06
0.465181.5306244.547717e-06
0.4682981.5303714.586068e-06
0.471.5302364.607000e-06
0.4714371.5301224.632006e-06
0.4745971.5298764.686989e-06
0.4777781.5296334.742341e-06
0.481.5294664.781000e-06
0.4809811.5293934.807478e-06
0.4842051.5291564.894524e-06
0.487451.5289224.982153e-06
0.491.5287415.051000e-06
0.4907171.528695.068432e-06
0.4940071.5284625.148359e-06
0.4973181.5282365.228822e-06
0.51.5280565.294000e-06
0.5006511.5280125.311843e-06
0.5040071.5277925.403791e-06
0.5073851.5275745.496355e-06
0.511.5274085.568000e-06
0.5107861.5273595.577197e-06
0.514211.5271465.617255e-06
0.5176561.5269365.657580e-06
0.521.5267955.685000e-06
0.5211261.5267285.674076e-06
0.5246191.5265235.640194e-06
0.5281361.5263215.606085e-06
0.531.5262145.588000e-06
0.5316761.526125.558845e-06
0.5352391.5259225.496836e-06
0.5388271.5257265.434412e-06
0.541.5256635.414000e-06
0.5424391.5255335.291830e-06
0.5460741.5253425.109673e-06
0.5497351.5251524.926296e-06
0.551.5251394.913000e-06
0.5534191.5249664.888723e-06
0.5571291.5247814.862385e-06
0.561.524644.842000e-06
0.5608631.5245984.900434e-06
0.5646221.5244185.154942e-06
0.5684071.5242395.411156e-06
0.571.5241655.519000e-06
0.5722171.5240635.639158e-06
0.5760521.5238885.847040e-06
0.5799141.5237156.056315e-06
0.581.5237126.061000e-06
0.5838011.5235456.195161e-06
0.5877141.5233766.333293e-06
0.591.5232796.414000e-06
0.5916531.5232096.453176e-06
0.5956191.5230446.547164e-06
0.5996111.522886.641782e-06
0.61.5228656.651000e-06
0.603631.5227196.652089e-06
0.6076761.5225596.653303e-06
0.611.5224686.654000e-06
0.6117491.5224016.669918e-06
0.615851.5222446.707232e-06
0.6199781.522096.744796e-06
0.621.5220896.745000e-06
0.6241331.5219366.880568e-06
0.6283171.5217857.017784e-06
0.631.5217257.073000e-06
0.6325281.5216357.107635e-06
0.6367681.5214867.165719e-06
0.641.5213757.210000e-06
0.6410361.5213397.207825e-06
0.6453331.5211947.198801e-06
0.6496581.521057.189718e-06
0.651.5210397.189000e-06
0.6540131.5209077.066212e-06
0.6583961.5207666.932070e-06
0.661.5207156.883000e-06
0.6628091.5206266.676503e-06
0.6672521.5204886.349966e-06
0.671.5204036.148000e-06
0.6717251.5203516.029347e-06
0.6762271.5202155.719580e-06
0.681.5201035.460000e-06
0.680761.5200815.403786e-06
0.6853231.5199475.066125e-06
0.6899161.5198154.726200e-06
0.691.5198134.720000e-06
0.6945411.5196854.488430e-06
0.6991961.5195554.251007e-06
0.71.5195334.210000e-06
0.7038831.5194274.243778e-06
0.70861.5192994.284824e-06
0.711.5192624.297000e-06
0.713351.5191734.335526e-06
0.7181321.5190484.390512e-06
0.721.5194.412000e-06
0.7229451.5189244.454408e-06
0.7277911.5188014.524187e-06
0.731.5187464.556000e-06
0.7326691.518684.602440e-06
0.737581.5185594.687890e-06
0.741.51854.730000e-06
0.7425241.5184394.782242e-06
0.7475011.518324.885265e-06
0.751.5182614.937000e-06
0.7525111.5182025.015597e-06
0.7575551.5180855.173472e-06
0.761.5180295.250000e-06
0.7626331.5179695.333458e-06
0.7677451.5178545.495501e-06
0.771.5178045.567000e-06
0.7728911.5177395.658919e-06
0.7780711.5176265.823660e-06
0.781.5175845.885000e-06
0.7832861.5175135.990819e-06
0.7885371.5174016.159876e-06
0.791.5173716.207000e-06
0.7938221.517296.330448e-06
0.7991431.517186.502310e-06
0.81.5171626.530000e-06
0.8044991.5170716.683873e-06
0.8098921.5169626.868293e-06
0.811.516966.872000e-06
0.815321.5168547.050757e-06
0.821.5167617.208000e-06
0.8207851.5167467.233750e-06
0.8262871.5166397.414201e-06
0.831.5165687.536000e-06
0.8318251.5165337.594219e-06
0.8374011.5164287.772079e-06
0.841.5163797.855000e-06
0.8430141.5163237.948419e-06
0.8486641.5162198.123586e-06
0.851.5161948.165000e-06
0.8543521.5161158.289916e-06
0.861.5160138.452000e-06
0.8600791.5160128.454221e-06
0.8658441.5159098.616215e-06
0.871.5158368.733000e-06
0.8716481.5158078.778142e-06
0.877491.5157058.938226e-06
0.881.5156629.007000e-06
0.8833721.5156049.096685e-06
0.8892931.5155049.254185e-06
0.891.5154929.273000e-06
0.8952531.5154039.408538e-06
0.91.5153249.531000e-06
0.9012541.5153049.560472e-06
0.9072951.5152049.702433e-06
0.911.515169.766000e-06
0.9133761.5151059.844334e-06
0.9194991.5150079.986368e-06
0.921.5149999.998000e-06
0.9256621.5149091.012935e-05
0.931.514841.023000e-05
0.9318661.5148111.027106e-05
0.9381121.5147131.040847e-05
0.941.5146841.045000e-05
0.94441.5146161.054241e-05
0.951.514531.066000e-05
0.9507311.5145191.067534e-05
0.9571031.5144221.080916e-05
0.961.5143781.087000e-05
0.9635181.5143261.094037e-05
0.9699771.5142291.106953e-05
0.971.5142291.107000e-05
0.9764781.5141341.119956e-05
0.981.5140821.127000e-05
0.9830231.5140381.133047e-05
0.9896121.5139421.146225e-05
0.991.5139371.147000e-05
0.9962451.5138471.158866e-05
11.5137931.166000e-05
1.002921.5137511.171262e-05
1.009651.5136561.183362e-05
1.016411.5135611.195543e-05
1.023231.5134661.207806e-05
1.030081.5133711.220152e-05
1.036991.5132771.232580e-05
1.043941.5131821.245091e-05
1.050941.5130871.257686e-05
1.057981.5129931.270366e-05
1.065071.5128981.283130e-05
1.072211.5128031.295980e-05
1.07941.5127081.308916e-05
1.086631.5126141.321939e-05
1.093921.5125191.335050e-05
1.11.512441.346000e-05
1.101251.5124241.347486e-05
1.108631.5123291.356270e-05
1.116061.5122341.365113e-05
1.123541.5121381.374015e-05
1.131071.5120431.382977e-05
1.138651.5119471.391998e-05
1.146291.5118511.401081e-05
1.153971.5117551.410224e-05
1.16171.5116591.419428e-05
1.169491.5115631.428694e-05
1.177331.5114661.438023e-05
1.185221.5113691.447413e-05
1.193171.5112711.456867e-05
1.21.5111881.465000e-05
1.201161.5111741.465047e-05
1.209211.5110761.465369e-05
1.217321.5109781.465693e-05
1.225481.5108791.466019e-05
1.233691.510781.466348e-05
1.241961.5106811.466678e-05
1.250291.5105811.467011e-05
1.258671.510481.467347e-05
1.26711.510381.467684e-05
1.27561.5102791.468024e-05
1.284151.5101771.468366e-05
1.292751.5100751.468710e-05
1.31.5099891.469000e-05
1.301421.5099721.467652e-05
1.310141.5098691.459365e-05
1.318921.5097651.451022e-05
1.327761.5096611.442624e-05
1.336661.5095561.434169e-05
1.345621.509451.425657e-05
1.354641.5093441.417089e-05
1.363721.5092371.408463e-05
1.372861.5091291.399779e-05
1.382071.5090211.391037e-05
1.391331.5089121.382237e-05
1.41.508811.374000e-05
1.400661.5088021.373115e-05
1.410041.5086921.360441e-05
1.419491.5085811.347682e-05
1.429011.5084691.334837e-05
1.438591.5083561.321907e-05
1.448231.5082421.308889e-05
1.457941.5081281.295784e-05
1.467711.5080131.282592e-05
1.477551.5078961.269311e-05
1.487451.5077791.255941e-05
1.497421.5076611.242481e-05
1.51.5076311.239000e-05
1.507461.5075421.230349e-05
1.517561.5074221.218628e-05
1.527731.5073011.206828e-05
1.537971.5071791.194950e-05
1.548281.5070561.182992e-05
1.558661.5069321.170953e-05
1.569111.5068071.158834e-05
1.579631.506681.146634e-05
1.590211.5065531.134352e-05
1.61.5064351.123000e-05
1.600871.5064241.122991e-05
1.61161.5062951.122884e-05
1.62241.5061641.122776e-05
1.633281.5060321.122667e-05
1.644231.5058981.122558e-05
1.655251.5057631.122448e-05
1.666341.5056281.122337e-05
1.677511.505491.122225e-05
1.688761.5053521.122112e-05
1.71.5052131.122000e-05
1.700081.5052121.122046e-05
1.711471.505071.128997e-05
1.722941.5049271.135995e-05
1.734491.5047831.143039e-05
1.746121.5046371.150131e-05
1.757821.504491.157271e-05
1.76961.5043421.164458e-05
1.781461.5041911.171693e-05
1.79341.5040391.178977e-05
1.81.5039551.183000e-05
1.805431.5038861.184845e-05
1.817531.5037311.188959e-05
1.829711.5035741.193101e-05
1.841971.5034161.197271e-05
1.854321.5032561.201469e-05
1.866751.5030941.205695e-05
1.879261.502931.209949e-05
1.891861.5027651.214232e-05
1.91.5026571.217000e-05
1.904541.5025971.217454e-05
1.91731.5024281.218730e-05
1.930161.5022571.220016e-05
1.943091.5020841.221309e-05
1.956121.501911.222612e-05
1.969231.5017331.223923e-05
1.982431.5015541.225243e-05
1.995721.5013731.226572e-05
21.5013141.227000e-05
2.009091.501191.224181e-05
2.022561.5010051.220007e-05
2.036121.5008181.215804e-05
2.049761.5006281.211573e-05
2.06351.5004371.207314e-05
2.077331.5002431.203026e-05
2.091261.5000471.198710e-05
2.11.4999231.196000e-05
2.105281.4998481.199904e-05
2.119391.4996481.210346e-05
2.133591.4994441.220858e-05
2.147891.4992391.231441e-05
2.162291.4990311.242095e-05
2.176781.498821.252820e-05
2.191371.4986071.263617e-05
2.21.4984811.270000e-05
2.206061.4983911.265635e-05
2.220851.4981731.254988e-05
2.235741.4979521.244271e-05
2.250721.4977291.233481e-05
2.265811.4975021.222619e-05
2.280991.4972731.211684e-05
2.296281.4970421.200676e-05
2.31.4969851.198000e-05
2.311671.4968071.198817e-05
2.327171.4965691.199902e-05
2.342771.4963291.200994e-05
2.358471.4960851.202093e-05
2.374281.4958391.203200e-05
2.390191.4955891.204314e-05
2.41.4954341.205000e-05
2.406211.4953361.212395e-05
2.422341.495081.231588e-05
2.438581.4948211.250910e-05
2.454921.4945591.270360e-05
2.471381.4942931.289942e-05
2.487941.4940241.309654e-05
2.51.4938281.324000e-05
2.504621.4937521.326588e-05
2.521411.4934761.335989e-05
2.538311.4931971.345453e-05
2.555321.4929141.354981e-05
2.572451.4926281.364573e-05
2.589691.4923381.374228e-05
2.61.4921641.380000e-05
2.607051.4920441.397559e-05
2.624531.4917471.441070e-05
2.642121.4914451.484873e-05
2.659831.491141.528970e-05
2.677661.4908311.573363e-05
2.69561.4905181.618053e-05
2.71.4904411.629000e-05
2.713671.4902012.692235e-05
2.731861.489884.106807e-05
2.750171.4895555.530861e-05
2.768611.4892266.964460e-05
2.787161.4888928.407668e-05
2.81.488669.406000e-05
2.805841.4885549.464097e-05
2.824651.4882129.651039e-05
2.843581.4878669.839233e-05
2.862641.4875140.0001002869
2.881831.4871590.0001021942
2.91.486820.000104
2.901151.4867980.0001039289
2.920591.4864330.0001027252
2.940171.4860640.0001015134
2.959881.4856890.0001002935
2.979721.485319.906548e-05
2.999691.4849259.782919e-05
31.4849199.781000e-05
3.01981.4845369.810101e-05
3.040041.4841419.839855e-05
3.060411.4837429.869809e-05
3.080931.4833379.899963e-05
3.11.4829589.928000e-05
3.101581.4829279.941288e-05
3.122371.4825110.0001011633
3.14331.482090.0001029255
3.164361.4816640.0001046995
3.185571.4812320.0001064854
3.21.4809360.0001077
3.206931.4807940.0001084551
3.228421.4803510.0001107981
3.250061.4799010.0001131568
3.271851.4794460.0001155313
3.293781.4789850.0001179217
3.31.4788530.0001186
3.315851.4785180.0001203916
3.338081.4780440.000122903
3.360451.4775640.0001254313
3.382981.4770780.0001279766
3.41.4767090.0001299
3.405651.4765860.0001302166
3.428481.4760870.000131495
3.451461.4755820.0001327819
3.47461.4750690.0001340774
3.497891.474550.0001353816
3.51.4745030.0001355
3.521331.4740250.0001361399
3.544931.4734920.000136848
3.56871.4729520.0001375609
3.592621.4724050.0001382785
3.61.4722350.0001385
3.61671.4718510.000138333
3.640941.4712890.0001380906
3.665341.470720.0001378466
3.689911.4701440.0001376009
3.71.4699060.0001375
3.714641.4695590.0001373975
3.739541.4689670.0001372232
3.764611.4683680.0001370478
3.789841.467760.0001368711
3.81.4675140.0001368
3.815241.4671440.0001366323
3.840821.466520.000136351
3.866561.4658880.0001360678
3.892481.4652470.0001357828
3.91.465060.0001357
3.918571.4645970.0001363684
3.944831.463940.000137314
3.971271.4632730.0001382659
3.997891.4625970.0001392241
41.4625440.0001393
4.024691.4619130.000143991
4.051671.4612190.0001491166
4.078821.4605160.0001542765
4.11.4599650.0001583
4.106161.4598040.0001600565
4.133691.4590820.0001679005
4.161391.4583510.000175797
4.189291.4576090.0001837465
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
—