Optical constants

Refractive index of N-K5 (SCHOTT)

N-K5: n,k 0.31–2.5 µm

Data
formula 2 + tabulated k
Range
0.31–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–2.5 µm
Refractive index n
1.52249
Extinction coefficient k
1.01298e-08
Permittivity ε1
2.31797
Permittivity ε2
3.08450e-08
Absorption coefficient α
0.00216635 cm⁻¹
Penetration depth δ = λ/(2πk)
9.23212e+09 nm
Abbe number Vd
59.483
Chromatic dispersion dn/dλ
-0.0453708 µm⁻¹
Group index ng
1.54915
Group velocity dispersion
79.2785 fs²/mm
Dispersion parameter D
-432.506 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

# N-K5 (SCHOTT): N-K5
schott_n_k5 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-K5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_k5.range_nm)  # (310, 2500) nm
eps = schott_n_k5.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.08511833λ2λ2−0.00661099503+0.199562005λ2λ2−0.024110866+0.930511663λ2λ2−111.982777

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.08511833
C30.00661099503
C40.199562005
C50.024110866
C60.930511663
C7111.982777

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.13e-07 1.03e-08 -3.4e-11 4.73e-07 5.19e-10 0.213
nd
1.52249
Vd
59.48
glass code
522595.259
glass status
standard
density
value: 2590
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
resistance
acid: 1.0; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.96e-07 K⁻¹ at 633 nm, dn/dT = -5.50e-08 K⁻¹ at 1310 nm, dn/dT = -8.95e-08 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 422 wavelengths, the same grid as the API and the library
N-K5 (SCHOTT), N-K5: n and k versus wavelength
λ (µm)nk
0.311.5591293.860200e-06
0.3116261.5585423.490995e-06
0.3132611.5579633.119853e-06
0.3149041.5573932.746764e-06
0.3165561.5568312.371718e-06
0.3182161.5562761.994705e-06
0.3198851.555731.615715e-06
0.321.5556921.589700e-06
0.3215631.555191.467033e-06
0.323251.5546591.334686e-06
0.3249461.5541341.201644e-06
0.326651.5536171.067905e-06
0.3283641.5531079.334637e-07
0.3300861.5526037.983175e-07
0.3318181.5521076.624624e-07
0.3335581.5516175.258947e-07
0.3341.5514944.912200e-07
0.3353081.5511344.627112e-07
0.3370671.5506574.243683e-07
0.3388351.5501863.858243e-07
0.3406121.5497223.470781e-07
0.3423991.5492643.081286e-07
0.3441951.5488122.689749e-07
0.3461.5483662.296158e-07
0.3478151.5479261.900502e-07
0.349641.5474911.502771e-07
0.351.5474061.424200e-07
0.3514741.5470631.335645e-07
0.3533171.5466391.224853e-07
0.3551711.5462211.113480e-07
0.3570341.5458091.001522e-07
0.3589061.5454028.889777e-08
0.3607891.5457.758427e-08
0.3626821.5446036.621142e-08
0.3645841.5442115.477892e-08
0.3651.5441275.227900e-08
0.3664961.5438255.028817e-08
0.3684191.5434434.773055e-08
0.371.5431344.562700e-08
0.3703511.5430664.501270e-08
0.3722941.5426934.161652e-08
0.3742471.5423263.820254e-08
0.376211.5419633.477064e-08
0.3781831.5416043.132074e-08
0.381.5412792.814500e-08
0.3801671.541252.800922e-08
0.3821611.54092.638957e-08
0.3841661.5405552.476142e-08
0.3861811.5402142.312473e-08
0.3882071.5398772.147945e-08
0.391.5395832.002300e-08
0.3902431.5395441.990991e-08
0.392291.5392151.895764e-08
0.3943481.538891.800037e-08
0.3964161.5385691.703809e-08
0.3984961.5382521.607075e-08
0.41.5380261.537100e-08
0.4005861.5379391.524065e-08
0.4026871.537631.477333e-08
0.40481.5373241.430356e-08
0.4051.5372951.425900e-08
0.4069231.5370221.398055e-08
0.4090581.5367241.367147e-08
0.4112031.5364291.336077e-08
0.413361.5361381.304845e-08
0.4155281.535851.273448e-08
0.4177081.5355651.241887e-08
0.4198991.5352841.210160e-08
0.421.5352711.208700e-08
0.4221021.5350061.214742e-08
0.4243161.5347321.221108e-08
0.4265421.534461.227507e-08
0.4287791.5341921.233940e-08
0.4310281.5339271.240406e-08
0.4332891.5336651.246906e-08
0.4355621.5334061.253440e-08
0.4361.5333571.254700e-08
0.4378471.533151.260017e-08
0.4401431.5328971.266629e-08
0.4424521.5326471.273277e-08
0.4447731.53241.279959e-08
0.4471061.5321551.286676e-08
0.4494511.5319141.293429e-08
0.4518091.5316751.300216e-08
0.4541791.5314391.307040e-08
0.4565611.5312051.313899e-08
0.4589561.5309741.320794e-08
0.461.5308751.323800e-08
0.4613641.5307461.316785e-08
0.4637841.530521.304333e-08
0.4662161.5302971.291817e-08
0.4686621.5300761.279234e-08
0.471121.5298581.266586e-08
0.4735921.5296421.253872e-08
0.4760761.5294291.241090e-08
0.4785731.5292181.228242e-08
0.4810831.5290091.215326e-08
0.4836071.5288021.202343e-08
0.4861441.5285981.189291e-08
0.4886941.5283961.176171e-08
0.4912571.5281961.162983e-08
0.4938341.5279991.149724e-08
0.4964241.5278031.136397e-08
0.4990281.527611.122999e-08
0.51.5275381.118000e-08
0.5016461.5274181.109168e-08
0.5042771.5272291.095049e-08
0.5069221.5270421.080855e-08
0.5095821.5268571.066587e-08
0.5122551.5266731.052244e-08
0.5149421.5264921.037826e-08
0.5176431.5263131.023332e-08
0.5203581.5261351.008762e-08
0.5230871.5259599.941157e-09
0.5258311.5257869.793926e-09
0.528591.5256149.645923e-09
0.5313621.5254439.497144e-09
0.5341491.5252759.347584e-09
0.5369511.5251089.197239e-09
0.5397681.5249439.046106e-09
0.5425991.524788.894180e-09
0.5454451.5246188.741457e-09
0.5461.5245878.711700e-09
0.5483071.5244588.748496e-09
0.5511831.52438.794379e-09
0.5540741.5241438.840502e-09
0.556981.5239888.886868e-09
0.5599021.5238358.933476e-09
0.5628391.5236838.980329e-09
0.5657911.5235329.027428e-09
0.5687591.5233839.074774e-09
0.5717421.5232359.122368e-09
0.5747421.5230899.170212e-09
0.5777561.5229459.218307e-09
0.581.5228389.254100e-09
0.5807871.5228019.344771e-09
0.5838331.5226599.695796e-09
0.5868961.5225191.004866e-08
0.5899741.522381.040338e-08
0.5930691.5222421.075996e-08
0.596181.5221061.111841e-08
0.5993071.5219711.147874e-08
0.6024511.5218371.184096e-08
0.6056111.5217041.220508e-08
0.6087881.5215731.257111e-08
0.6119811.5214431.293905e-08
0.6151911.5213141.330893e-08
0.6184181.5211861.368075e-08
0.621.5211241.386300e-08
0.6216621.521061.398812e-08
0.6249231.5209341.423359e-08
0.6282011.520811.448034e-08
0.6314961.5206871.472839e-08
0.6348091.5205651.497774e-08
0.6381391.5204441.522839e-08
0.6414861.5203241.548036e-08
0.6448511.5202061.573366e-08
0.6482341.5200881.598828e-08
0.6516341.5199721.624423e-08
0.6550521.5198561.650153e-08
0.6584881.5197411.676018e-08
0.661.5196911.687400e-08
0.6619421.5196281.670577e-08
0.6654141.5195151.640499e-08
0.6689051.5194041.610263e-08
0.6724131.5192931.579869e-08
0.6759411.5191831.549315e-08
0.6794861.5190741.518601e-08
0.683051.5189661.487726e-08
0.6866331.5188591.456689e-08
0.6902351.5187531.425489e-08
0.6938561.5186481.394126e-08
0.6974951.5185441.362598e-08
0.71.5184731.340900e-08
0.7011541.518441.342023e-08
0.7048321.5183371.345603e-08
0.7085291.5182351.349202e-08
0.7122461.5181341.352819e-08
0.7159821.5180341.356455e-08
0.7197371.5179341.360111e-08
0.7235131.5178361.363786e-08
0.7273081.5177381.367480e-08
0.7311231.517641.371193e-08
0.7349581.5175441.374926e-08
0.7388131.5174481.378678e-08
0.7426891.5173531.382450e-08
0.7465841.5172581.386242e-08
0.7505011.5171651.390054e-08
0.7544371.5170721.393886e-08
0.7583951.5169791.397737e-08
0.7623731.5168871.401610e-08
0.7663721.5167961.405502e-08
0.7703921.5167061.409415e-08
0.7744331.5166161.413348e-08
0.7784951.5165261.417302e-08
0.7825791.5164381.421277e-08
0.7866841.516351.425272e-08
0.790811.5162621.429289e-08
0.7949581.5161751.433326e-08
0.7991281.5160891.437385e-08
0.803321.5160031.441465e-08
0.8075341.5159171.445566e-08
0.811771.5158321.449689e-08
0.8160281.5157481.453834e-08
0.8203081.5156641.458000e-08
0.8246111.5155811.462188e-08
0.8289371.5154981.466398e-08
0.8332851.5154151.470631e-08
0.8376561.5153331.474885e-08
0.842051.5152521.479162e-08
0.8464671.5151711.483461e-08
0.8509071.515091.487783e-08
0.855371.515011.492127e-08
0.8598571.514931.496494e-08
0.8643671.5148511.500884e-08
0.8689011.5147721.505297e-08
0.8734591.5146931.509734e-08
0.8780411.5146151.514193e-08
0.8826471.5145371.518676e-08
0.8872771.5144591.523183e-08
0.8919311.5143821.527713e-08
0.8966091.5143051.532266e-08
0.9013131.5142291.536844e-08
0.906041.5141521.541446e-08
0.9107931.5140761.546072e-08
0.9155711.5140011.550722e-08
0.9203731.5139251.555396e-08
0.9252011.513851.560096e-08
0.9300541.5137751.564819e-08
0.9349331.5137011.569568e-08
0.9398371.5136271.574341e-08
0.9447671.5135531.579140e-08
0.9497221.5134791.583963e-08
0.9547041.5134051.588812e-08
0.9597121.5133321.593686e-08
0.9647461.5132591.598586e-08
0.9698071.5131861.603512e-08
0.9748941.5131131.608463e-08
0.9800081.513041.613441e-08
0.9851481.5129681.618444e-08
0.9903161.5128961.623474e-08
0.995511.5128241.628530e-08
1.000731.5127521.633613e-08
1.005981.512681.638722e-08
1.011261.5126081.643858e-08
1.016561.5125371.649021e-08
1.02191.5124651.654212e-08
1.027261.5123941.659429e-08
1.032641.5123231.664674e-08
1.038061.5122521.669946e-08
1.043511.5121811.675246e-08
1.048981.512111.680574e-08
1.054481.5120391.685929e-08
1.061.5119681.691300e-08
1.060011.5119681.691447e-08
1.065571.5118971.752670e-08
1.071161.5118271.814215e-08
1.076781.5117561.876082e-08
1.082431.5116851.938274e-08
1.088111.5116152.000792e-08
1.093821.5115442.063638e-08
1.099551.5114732.126813e-08
1.105321.5114032.190320e-08
1.111121.5113322.254161e-08
1.116951.5112612.318336e-08
1.122811.5111912.382847e-08
1.12871.511122.447697e-08
1.134621.5110492.512887e-08
1.140571.5109782.578420e-08
1.146551.5109072.644296e-08
1.152561.5108362.710517e-08
1.158611.5107652.777086e-08
1.164691.5106942.844004e-08
1.17081.5106232.911273e-08
1.176941.5105512.978895e-08
1.183111.510483.046871e-08
1.189321.5104083.115205e-08
1.195561.5103363.183896e-08
1.201831.5102643.252948e-08
1.208131.5101923.322362e-08
1.214471.510123.392140e-08
1.220841.5100483.462285e-08
1.227241.5099753.532797e-08
1.233681.5099033.603679e-08
1.240151.509833.674933e-08
1.246661.5097573.746561e-08
1.25321.5096833.818564e-08
1.259771.509613.890945e-08
1.266381.5095363.963706e-08
1.273021.5094624.036848e-08
1.27971.5093884.110374e-08
1.286411.5093134.184286e-08
1.293161.5092384.258585e-08
1.299941.5091634.333275e-08
1.306761.5090884.408355e-08
1.313621.5090124.483830e-08
1.320511.5089374.559701e-08
1.327431.508864.635970e-08
1.33441.5087844.712638e-08
1.34141.5087074.789709e-08
1.348431.508634.867184e-08
1.355511.5085524.945066e-08
1.362621.5084745.023356e-08
1.369761.5083965.102057e-08
1.376951.5083185.181170e-08
1.384171.5082395.260699e-08
1.391431.5081595.340645e-08
1.398731.5080795.421010e-08
1.406071.5079995.501797e-08
1.413441.5079195.583007e-08
1.420861.5078385.664643e-08
1.428311.5077565.746708e-08
1.43581.5076745.829203e-08
1.443331.5075925.912131e-08
1.45091.5075095.995494e-08
1.458521.5074266.079294e-08
1.466171.5073426.163533e-08
1.473861.5072586.248215e-08
1.481591.5071736.333341e-08
1.489361.5070876.418913e-08
1.497171.5070026.504934e-08
1.505031.5069156.591406e-08
1.512921.5068286.678332e-08
1.520861.5067416.765714e-08
1.528831.5066536.853554e-08
1.531.506646.866400e-08
1.536851.5065648.119543e-08
1.544911.5064759.593713e-08
1.553021.5063851.107562e-07
1.561161.5062941.256529e-07
1.569351.5062031.406278e-07
1.577591.5061121.556813e-07
1.585861.5060191.708137e-07
1.594181.5059261.860255e-07
1.602541.5058332.013170e-07
1.610951.5057382.166888e-07
1.61941.5056432.321413e-07
1.627891.5055472.476747e-07
1.636431.5054512.632897e-07
1.645021.5053532.789866e-07
1.653641.5052552.947658e-07
1.662321.5051573.106278e-07
1.671041.5050573.265729e-07
1.67981.5049573.426018e-07
1.688611.5048563.587147e-07
1.697471.5047543.749121e-07
1.706381.5046513.911945e-07
1.715331.5045484.075623e-07
1.724321.5044434.240159e-07
1.733371.5043384.405559e-07
1.742461.5042324.571826e-07
1.75161.5041254.738965e-07
1.760791.5040174.906981e-07
1.770031.5039085.075878e-07
1.779311.5037985.245662e-07
1.788641.5036885.416336e-07
1.798031.5035765.587905e-07
1.807461.5034645.760374e-07
1.816941.503355.933748e-07
1.826471.5032356.108031e-07
1.836051.503126.283228e-07
1.845681.5030036.459345e-07
1.855361.5028856.636385e-07
1.865091.5027676.814354e-07
1.874881.5026476.993256e-07
1.884711.5025267.173097e-07
1.89461.5024047.353881e-07
1.904541.5022817.535614e-07
1.914531.5021577.718300e-07
1.924571.5020317.901944e-07
1.934671.5019058.086551e-07
1.944811.5017778.272127e-07
1.955011.5016488.458676e-07
1.965271.5015178.646203e-07
1.971.5014578.732700e-07
1.975581.5013869.078710e-07
1.985941.5012539.721448e-07
1.996361.5011191.036756e-06
2.006831.5009841.101706e-06
2.017361.5008471.166996e-06
2.027941.5007091.232629e-06
2.038581.500571.298607e-06
2.049271.5004291.364930e-06
2.060021.5002871.431602e-06
2.070831.5001441.498623e-06
2.081691.4999991.565995e-06
2.092611.4998531.633721e-06
2.103581.4997051.701803e-06
2.114621.4995561.770241e-06
2.125711.4994051.839039e-06
2.136861.4992521.908197e-06
2.148071.4990991.977718e-06
2.159341.4989432.047604e-06
2.170661.4987862.117856e-06
2.182051.4986272.188477e-06
2.19351.4984672.259468e-06
2.2051.4983052.330832e-06
2.216571.4981412.402570e-06
2.22821.4979762.474684e-06
2.239881.4978092.547176e-06
2.251631.497642.620049e-06
2.263441.4974692.693304e-06
2.275321.4972972.766944e-06
2.287251.4971232.840969e-06
2.299251.4969462.915383e-06
2.311311.4967682.990187e-06
2.323431.4965883.065384e-06
2.3251.4965653.075100e-06
2.335621.4964073.195093e-06
2.347871.4962233.333506e-06
2.360191.4960373.472645e-06
2.372571.4958493.612515e-06
2.385011.4956593.753117e-06
2.397521.4954673.894458e-06
2.41011.4952734.036539e-06
2.422741.4950774.179366e-06
2.435451.4948794.322943e-06
2.448231.4946784.467272e-06
2.461071.4944754.612358e-06
2.473981.494274.758206e-06
2.486951.4940634.904818e-06
2.51.4938545.052200e-06

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
—