Optical constants

Refractive index of N-SK11 (SCHOTT)

N-SK11: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.56384
Extinction coefficient k
7.87323e-09
Permittivity ε1
2.44559
Permittivity ε2
2.46249e-08
Absorption coefficient α
0.00168376 cm⁻¹
Penetration depth δ = λ/(2πk)
1.18782e+10 nm
Abbe number Vd
60.799
Chromatic dispersion dn/dλ
-0.047961 µm⁻¹
Group index ng
1.59202
Group velocity dispersion
83.1982 fs²/mm
Dispersion parameter D
-453.89 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-SK11 (SCHOTT): N-SK11
schott_n_sk11 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-SK11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_sk11.range_nm)  # (300, 2500) nm
eps = schott_n_sk11.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=1.17963631λ2λ2−0.00680282081+0.229817295λ2λ2−0.0219737205+0.935789652λ2λ2−101.513232

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.17963631
C30.00680282081
C40.229817295
C50.0219737205
C60.935789652
C7101.513232

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.14e-06 1.27e-08 -7.21e-11 3.51e-07 5.41e-10 0.238
nd
1.56384
Vd
60.8
glass code
564608.308
glass status
standard
density
value: 3080
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0004
resistance
acid: 2.0; stain: 0.0; alkali: 1.0; climatic: 2.0; phosphate: 2.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.46e-06 K⁻¹ at 633 nm, dn/dT = 1.06e-06 K⁻¹ at 1310 nm, dn/dT = 1.03e-06 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 423 wavelengths, the same grid as the API and the library
N-SK11 (SCHOTT), N-SK11: n and k versus wavelength
λ (µm)nk
0.31.6060243.735700e-06
0.3015981.6053563.427619e-06
0.3032051.6046973.117897e-06
0.3048211.6040482.806525e-06
0.3064451.6034082.493493e-06
0.3080781.6027762.178794e-06
0.3097191.6021541.862418e-06
0.311.6020491.808300e-06
0.3113691.601541.685034e-06
0.3130281.6009351.535702e-06
0.3146961.6003381.385574e-06
0.3163731.5997491.234647e-06
0.3180591.5991681.082915e-06
0.3197531.5985959.303751e-07
0.321.5985139.081700e-07
0.3214571.598038.515505e-07
0.323171.5974737.849918e-07
0.3248921.5969237.180784e-07
0.3266231.596386.508085e-07
0.3283631.5958455.831802e-07
0.3301121.5953175.151916e-07
0.3318711.5947964.468407e-07
0.333641.5942823.781257e-07
0.3341.5941783.641200e-07
0.3354171.5937743.444822e-07
0.3372041.5932743.197192e-07
0.3390011.5927792.948243e-07
0.3408071.5922922.697968e-07
0.3426231.5918112.446359e-07
0.3444491.5913352.193410e-07
0.3462841.5908671.939112e-07
0.3481291.5904041.683460e-07
0.3499841.5899471.426446e-07
0.351.5899431.424200e-07
0.3518491.5894961.337281e-07
0.3537231.5890511.249132e-07
0.3556081.5886111.160514e-07
0.3575031.5881771.071423e-07
0.3594071.5877499.818578e-08
0.3613221.5873268.918154e-08
0.3632481.5869098.012932e-08
0.3651.5865357.188900e-08
0.3651831.5864967.146908e-08
0.3671291.5860896.700247e-08
0.3690851.5856876.251206e-08
0.371.5855016.041100e-08
0.3710511.585295.885429e-08
0.3730281.5848985.592676e-08
0.3750161.5845115.298363e-08
0.3770141.5841285.002482e-08
0.3790231.583754.705024e-08
0.381.5835694.560300e-08
0.3810421.5833774.479108e-08
0.3830721.5830094.320933e-08
0.3851131.5826454.161915e-08
0.3871651.5822854.002050e-08
0.3892281.581933.841334e-08
0.391.5817993.781200e-08
0.3913021.5815793.708600e-08
0.3933871.5812333.592347e-08
0.3954831.5808913.475474e-08
0.397591.5805523.357978e-08
0.3997081.5802183.239856e-08
0.41.5801733.223600e-08
0.4018381.5798882.995964e-08
0.4039791.5795622.730819e-08
0.4051.5794082.604400e-08
0.4061321.579242.560350e-08
0.4082961.5789212.476117e-08
0.4104711.5786072.391434e-08
0.4126581.5782962.306301e-08
0.4148571.5779882.220713e-08
0.4170671.5776852.134670e-08
0.4192891.5773852.048169e-08
0.421.577292.020500e-08
0.4215231.5770881.987656e-08
0.4237691.5767951.939228e-08
0.4260271.5765051.890542e-08
0.4282971.5762191.841598e-08
0.4305791.5759361.792392e-08
0.4328731.5756571.742924e-08
0.4351791.575381.693193e-08
0.4361.5752831.675500e-08
0.4374981.5751071.662772e-08
0.4398291.5748371.642968e-08
0.4421731.574571.623058e-08
0.4445291.5743061.603043e-08
0.4468971.5740451.582920e-08
0.4492781.5737871.562691e-08
0.4516721.5735321.542354e-08
0.4540781.573281.521908e-08
0.4564981.5730311.501354e-08
0.458931.5727851.480689e-08
0.461.5726771.471600e-08
0.4613751.5725411.453934e-08
0.4638341.57231.422358e-08
0.4663051.5720621.390615e-08
0.4687891.5718261.358702e-08
0.4712871.5715931.326619e-08
0.4737981.5713631.294365e-08
0.4763231.5711351.261939e-08
0.4788611.570911.229340e-08
0.4814121.5706871.196568e-08
0.4839771.5704671.163621e-08
0.4865561.5702491.130499e-08
0.4891481.5700331.097200e-08
0.4917541.569821.063724e-08
0.4943741.5696091.030069e-08
0.4970081.56949.962351e-09
0.4996571.5691949.622208e-09
0.51.5691689.578100e-09
0.5023191.568999.358503e-09
0.5049951.5687889.105042e-09
0.5076861.5685888.850231e-09
0.5103911.5683918.594062e-09
0.513111.5681958.336528e-09
0.5158441.5680028.077622e-09
0.5185931.567817.817337e-09
0.5213561.5676217.555665e-09
0.5241341.5674347.292598e-09
0.5269261.5672487.028130e-09
0.5297341.5670656.762253e-09
0.5325561.5668836.494959e-09
0.5353941.5667046.226241e-09
0.5382461.5665265.956091e-09
0.5411141.566355.684502e-09
0.5439971.5661765.411466e-09
0.5461.5660565.221800e-09
0.5468961.5660035.279172e-09
0.549811.5658335.465817e-09
0.5527391.5656645.653456e-09
0.5556841.5654975.842094e-09
0.5586451.5653316.031738e-09
0.5616211.5651676.222392e-09
0.5646141.5650056.414062e-09
0.5676221.5648456.606753e-09
0.5706461.5646866.800471e-09
0.5736871.5645286.995221e-09
0.5767431.5643737.191009e-09
0.5798161.5642187.387840e-09
0.581.5642097.399600e-09
0.5829061.5640667.580684e-09
0.5860111.5639147.774235e-09
0.5891341.5637657.968818e-09
0.5922731.5636168.164438e-09
0.5954281.5634698.361100e-09
0.5986011.5633248.558810e-09
0.601791.563188.757574e-09
0.6049971.5630378.957396e-09
0.608221.5628969.158283e-09
0.6114611.5627569.360240e-09
0.6147191.5626179.563274e-09
0.6179941.562489.767389e-09
0.621.5623969.892400e-09
0.6212871.5623449.912943e-09
0.6245971.5622099.965792e-09
0.6279251.5620751.001892e-08
0.6312711.5619431.007233e-08
0.6346341.5618111.012603e-08
0.6380151.5616811.018002e-08
0.6414151.5615531.023429e-08
0.6448321.5614251.028885e-08
0.6482681.5612981.034370e-08
0.6517221.5611731.039884e-08
0.6551951.5610491.045428e-08
0.6586851.5609251.051001e-08
0.661.5608791.053100e-08
0.6621951.5608031.044317e-08
0.6657231.5606821.030200e-08
0.669271.5605621.016007e-08
0.6728361.5604431.001739e-08
0.6764211.5603259.873949e-09
0.6800251.5602089.729743e-09
0.6836481.5600929.584768e-09
0.6872911.5599779.439021e-09
0.6909531.5598639.292498e-09
0.6946341.559759.145193e-09
0.6983351.5596378.997104e-09
0.71.5595878.930500e-09
0.7020561.5595268.976094e-09
0.7057971.5594159.059037e-09
0.7095571.5593069.142421e-09
0.7133381.5591979.226251e-09
0.7171391.5590899.310526e-09
0.720961.5589829.395251e-09
0.7248011.5588769.480428e-09
0.7286631.558779.566058e-09
0.7325451.5586669.652144e-09
0.7364481.5585629.738689e-09
0.7403721.5584599.825695e-09
0.7443171.5583579.913165e-09
0.7482831.5582551.000110e-08
0.752271.5581541.008951e-08
0.7562781.5580541.017838e-08
0.7603071.5579551.026773e-08
0.7643581.5578561.035755e-08
0.7684311.5577581.044786e-08
0.7725251.5576611.053864e-08
0.7766411.5575641.062991e-08
0.7807791.5574681.072167e-08
0.7849391.5573721.081391e-08
0.7891211.5572781.090664e-08
0.7933261.5571831.099987e-08
0.7975531.557091.109360e-08
0.8018021.5569971.118782e-08
0.8060741.5569041.128255e-08
0.8103691.5568121.137778e-08
0.8146871.5567211.147352e-08
0.8190281.556631.156977e-08
0.8233911.556541.166653e-08
0.8277791.556451.176381e-08
0.8321891.5563611.186161e-08
0.8366231.5562721.195993e-08
0.8410811.5561841.205877e-08
0.8455621.5560961.215814e-08
0.8500671.5560091.225803e-08
0.8545961.5559221.235846e-08
0.859151.5558351.245943e-08
0.8637271.5557491.256093e-08
0.8683291.5556641.266297e-08
0.8729561.5555791.276556e-08
0.8776071.5554941.286869e-08
0.8822831.5554091.297238e-08
0.8869841.5553251.307661e-08
0.891711.5552421.318140e-08
0.8964611.5551581.328675e-08
0.9012381.5550751.339266e-08
0.9060391.5549931.349914e-08
0.9108671.5549111.360618e-08
0.915721.5548291.371379e-08
0.9205991.5547471.382198e-08
0.9255041.5546661.393074e-08
0.9304351.5545841.404008e-08
0.9353931.5545041.415001e-08
0.9403771.5544231.426052e-08
0.9453871.5543431.437161e-08
0.9504241.5542631.448331e-08
0.9554881.5541831.459559e-08
0.9605791.5541041.470848e-08
0.9656971.5540241.482196e-08
0.9708421.5539451.493605e-08
0.9760151.5538661.505075e-08
0.9812151.5537871.516606e-08
0.9864431.5537091.528198e-08
0.9916991.553631.539852e-08
0.9969831.5535521.551569e-08
1.00231.5534741.563347e-08
1.007641.5533961.575189e-08
1.0131.5533191.587093e-08
1.01841.5532411.599061e-08
1.023831.5531631.611093e-08
1.029281.5530861.623189e-08
1.034771.5530091.635349e-08
1.040281.5529311.647574e-08
1.045821.5528541.659864e-08
1.05141.5527771.672220e-08
1.0571.55271.684641e-08
1.061.5526591.691300e-08
1.062631.5526231.725775e-08
1.068291.5525461.800028e-08
1.073981.5524691.874676e-08
1.07971.5523921.949722e-08
1.085461.5523152.025167e-08
1.091241.5522382.101015e-08
1.097061.5521622.177267e-08
1.10291.5520852.253925e-08
1.108781.5520082.330991e-08
1.114681.5519312.408468e-08
1.120621.5518542.486358e-08
1.126591.5517772.564663e-08
1.13261.55172.643385e-08
1.138631.5516222.722526e-08
1.14471.5515452.802090e-08
1.15081.5514682.882077e-08
1.156931.551392.962490e-08
1.163091.5513133.043332e-08
1.169291.5512353.124604e-08
1.175521.5511573.206310e-08
1.181781.5510793.288451e-08
1.188081.5510013.371029e-08
1.194411.5509233.454048e-08
1.200771.5508453.537508e-08
1.207171.5507663.621414e-08
1.21361.5506873.705767e-08
1.220071.5506083.790569e-08
1.226571.5505293.875822e-08
1.233111.550453.961530e-08
1.239681.550374.047695e-08
1.246281.550294.134319e-08
1.252921.550214.221404e-08
1.25961.550134.308954e-08
1.266311.5500494.396970e-08
1.273061.5499694.485454e-08
1.279841.5498874.574411e-08
1.286661.5498064.663841e-08
1.293511.5497244.753747e-08
1.30041.5496424.844133e-08
1.307331.549564.935000e-08
1.31431.5494775.026352e-08
1.32131.5493945.118190e-08
1.328341.5493115.210518e-08
1.335421.5492275.303337e-08
1.342531.5491435.396651e-08
1.349691.5490585.490462e-08
1.356881.5489735.584773e-08
1.364111.5488885.679587e-08
1.371381.5488025.774905e-08
1.378681.5487165.870732e-08
1.386031.548635.967069e-08
1.393411.5485436.063920e-08
1.400841.5484556.161286e-08
1.40831.5483676.259171e-08
1.415811.5482796.357578e-08
1.423351.548196.456509e-08
1.430931.54816.555967e-08
1.438561.5480116.655955e-08
1.446221.547926.756476e-08
1.453931.5478296.857533e-08
1.461671.5477386.959128e-08
1.469461.5476457.061264e-08
1.477291.5475537.163944e-08
1.485161.5474597.267172e-08
1.493081.5473667.370949e-08
1.501031.5472717.475279e-08
1.509031.5471767.580166e-08
1.517071.547087.685611e-08
1.525151.5469847.791618e-08
1.531.5469267.855200e-08
1.533281.5468878.186207e-08
1.541451.5467899.011150e-08
1.549661.5466919.840488e-08
1.557921.5465921.067424e-07
1.566221.5464921.151244e-07
1.574561.5463921.235511e-07
1.582951.5462911.320226e-07
1.591391.5461891.405393e-07
1.599871.5460861.491014e-07
1.608391.5459821.577091e-07
1.616961.5458781.663626e-07
1.625571.5457731.750623e-07
1.634241.5456671.838083e-07
1.642941.5455611.926009e-07
1.65171.5454532.014403e-07
1.66051.5453452.103269e-07
1.669341.5452362.192608e-07
1.678241.5451252.282423e-07
1.687181.5450142.372716e-07
1.696171.5449022.463491e-07
1.705211.544792.554749e-07
1.714291.5446762.646494e-07
1.723431.5445612.738727e-07
1.732611.5444452.831452e-07
1.741841.5443292.924670e-07
1.751121.5442113.018386e-07
1.760451.5440923.112601e-07
1.769831.5439723.207318e-07
1.779261.5438523.302539e-07
1.788741.543733.398268e-07
1.798271.5436073.494507e-07
1.807851.5434833.591258e-07
1.817491.5433573.688525e-07
1.827171.5432313.786311e-07
1.83691.5431043.884617e-07
1.846691.5429753.983447e-07
1.856531.5428454.082804e-07
1.866421.5427144.182690e-07
1.876371.5425824.283108e-07
1.886371.5424484.384062e-07
1.896421.5423144.485553e-07
1.906521.5421784.587585e-07
1.916681.542044.690161e-07
1.926891.5419024.793283e-07
1.937161.5417624.896954e-07
1.947481.541625.001178e-07
1.957851.5414785.105958e-07
1.968291.5413345.211295e-07
1.971.541315.228600e-07
1.978771.5411885.674996e-07
1.989321.5410416.211428e-07
1.999921.5408936.750718e-07
2.010571.5407437.292881e-07
2.021281.5405917.837933e-07
2.032051.5404388.385889e-07
2.042881.5402848.936765e-07
2.053771.5401289.490576e-07
2.064711.539971.004734e-06
2.075711.5398111.060707e-06
2.086771.539651.116978e-06
2.097891.5394881.173548e-06
2.109061.5393241.230421e-06
2.12031.5391581.287596e-06
2.13161.538991.345076e-06
2.142961.5388211.402862e-06
2.154371.538651.460956e-06
2.165851.5384771.519360e-06
2.177391.5383021.578075e-06
2.188991.5381251.637102e-06
2.200661.5379471.696444e-06
2.212381.5377661.756103e-06
2.224171.5375841.816079e-06
2.236021.53741.876374e-06
2.247931.5372131.936991e-06
2.259911.5370251.997931e-06
2.271951.5368352.059196e-06
2.284061.5366422.120787e-06
2.296231.5364472.182706e-06
2.308461.5362512.244956e-06
2.320761.5360522.307536e-06
2.3251.5359832.329100e-06
2.333131.5358512.448656e-06
2.345561.5356472.631529e-06
2.358061.5354422.815375e-06
2.370621.5352343.000201e-06
2.383251.5350243.186012e-06
2.395951.5348113.372813e-06
2.408711.5345963.560609e-06
2.421551.5343793.749406e-06
2.434451.5341593.939209e-06
2.447421.5339374.130023e-06
2.460461.5337124.321854e-06
2.473571.5334844.514706e-06
2.486751.5332544.708587e-06
2.51.5330214.903500e-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
—