Optical constants

Refractive index of N-KZFS11 (SCHOTT)

N-KZFS11: 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
1.63775
Extinction coefficient k
1.50234e-08
Permittivity ε1
2.68221
Permittivity ε2
4.92090e-08
Absorption coefficient α
0.00321289 cm⁻¹
Penetration depth δ = λ/(2πk)
6.22493e+09 nm
Abbe number Vd
42.41
Chromatic dispersion dn/dλ
-0.0770728 µm⁻¹
Group index ng
1.68303
Group velocity dispersion
140.679 fs²/mm
Dispersion parameter D
-767.481 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-KZFS11 (SCHOTT): N-KZFS11
schott_n_kzfs11 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-KZFS11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_kzfs11.range_nm)  # (310, 2500) nm
eps = schott_n_kzfs11.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=1.3322245λ2λ2−0.0084029848+0.28924161λ2λ2−0.034423972+1.15161734λ2λ2−88.4310532

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.3322245
C30.0084029848
C40.28924161
C50.034423972
C61.15161734
C788.4310532

Comments and conditions

suitable for precision molding. step 0.5 available

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.34e-06 1.16e-08 -1.8e-11 6.32e-07 7.21e-10 0.206
nd
1.63775
Vd
42.41
glass code
638424.320
glass status
standard
density
value: 3196
thermal expansion
value: 6.56e-06, temperature range: 243 343; value: 7.56e-06, temperature range: 293 573
dPgF
-0.012
resistance
acid: 3.4; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.61e-06 K⁻¹ at 633 nm, dn/dT = 1.85e-06 K⁻¹ at 1310 nm, dn/dT = 1.79e-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 422 wavelengths, the same grid as the API and the library
N-KZFS11 (SCHOTT), N-KZFS11: n and k versus wavelength
λ (µm)nk
0.311.7056683.860200e-06
0.3116261.7044743.546721e-06
0.3132611.7033013.231598e-06
0.3149041.7021492.914822e-06
0.3165561.7010172.596384e-06
0.3182161.6999042.276275e-06
0.3198851.698811.954488e-06
0.321.6987361.932400e-06
0.3215631.6977351.811411e-06
0.323251.6966771.680873e-06
0.3249461.6956381.549650e-06
0.326651.6946151.417739e-06
0.3283641.693611.285137e-06
0.3300861.6926211.151838e-06
0.3318181.6916481.017841e-06
0.3335581.6906918.831405e-07
0.3341.6904518.489400e-07
0.3353081.6897498.082095e-07
0.3370671.6888227.534290e-07
0.3388351.687916.983613e-07
0.3406121.6870126.430047e-07
0.3423991.6861295.873577e-07
0.3441951.6852595.314188e-07
0.3461.6844034.751865e-07
0.3478151.6835594.186592e-07
0.349641.6827293.618354e-07
0.351.6825673.506100e-07
0.3514741.6819123.307566e-07
0.3533171.6811063.059177e-07
0.3551711.6803132.809486e-07
0.3570341.6795322.558485e-07
0.3589061.6787622.306168e-07
0.3607891.6780042.052527e-07
0.3626821.6772571.797555e-07
0.3645841.6765211.541247e-07
0.3651.6763621.485200e-07
0.3664961.6757961.373119e-07
0.3684191.6750811.229127e-07
0.371.6745041.110700e-07
0.3703511.6743771.097970e-07
0.3722941.6736831.027593e-07
0.3742471.6729989.568469e-08
0.376211.6723248.857296e-08
0.3781831.6716598.142392e-08
0.381.6710587.484300e-08
0.3801671.6710037.450396e-08
0.3821611.6703577.045961e-08
0.3841661.6697196.639405e-08
0.3861811.6690916.230716e-08
0.3882071.6684715.819883e-08
0.391.6679335.456200e-08
0.3902431.667865.424226e-08
0.392291.6672575.155004e-08
0.3943481.6666634.884369e-08
0.3964161.6660774.612314e-08
0.3984961.6654984.338833e-08
0.41.6650864.141000e-08
0.4005861.6649284.100301e-08
0.4026871.6643653.954390e-08
0.40481.6638093.807713e-08
0.4051.6637573.793800e-08
0.4069231.6632613.741353e-08
0.4090581.6627213.683138e-08
0.4112031.6621873.624618e-08
0.413361.6616613.565790e-08
0.4155281.6611413.506654e-08
0.4177081.6606293.447208e-08
0.4198991.6601233.387450e-08
0.421.66013.384700e-08
0.4221021.6596233.345634e-08
0.4243161.659133.304479e-08
0.4265421.6586443.263108e-08
0.4287791.6581633.221520e-08
0.4310281.6576893.179714e-08
0.4332891.6572213.137689e-08
0.4355621.6567593.095443e-08
0.4361.6566713.087300e-08
0.4378471.6563033.054391e-08
0.4401431.6558523.013462e-08
0.4424521.6554072.972318e-08
0.4447731.6549682.930958e-08
0.4471061.6545342.889381e-08
0.4494511.6541062.847587e-08
0.4518091.6536832.805572e-08
0.4541791.6532652.763338e-08
0.4565611.6528522.720882e-08
0.4589561.6524452.678203e-08
0.461.6522692.659600e-08
0.4613641.6520422.628947e-08
0.4637841.6516442.574544e-08
0.4662161.6512522.519856e-08
0.4686621.6508632.464880e-08
0.471121.650482.409617e-08
0.4735921.6501012.354063e-08
0.4760761.6497272.298218e-08
0.4785731.6493572.242080e-08
0.4810831.6489922.185647e-08
0.4836071.6486312.128919e-08
0.4861441.6482742.071893e-08
0.4886941.6479212.014568e-08
0.4912571.6475731.956942e-08
0.4938341.6472291.899013e-08
0.4964241.6468881.840781e-08
0.4990281.6465521.782244e-08
0.51.6464281.760400e-08
0.5016461.6462191.741096e-08
0.5042771.6458911.710235e-08
0.5069221.6455661.679211e-08
0.5095821.6452451.648025e-08
0.5122551.6449271.616676e-08
0.5149421.6446141.585162e-08
0.5176431.6443031.553482e-08
0.5203581.6439961.521637e-08
0.5230871.6436931.489624e-08
0.5258311.6433931.457444e-08
0.528591.6430971.425095e-08
0.5313621.6428041.392576e-08
0.5341491.6425141.359886e-08
0.5369511.6422271.327025e-08
0.5397681.6419431.293992e-08
0.5425991.6416631.260785e-08
0.5454451.6413851.227404e-08
0.5461.6413321.220900e-08
0.5483071.6411111.238674e-08
0.5511831.640841.260837e-08
0.5540741.6405711.283117e-08
0.556981.6403061.305513e-08
0.5599021.6400431.328026e-08
0.5628391.6397831.350658e-08
0.5657911.6395261.373409e-08
0.5687591.6392721.396279e-08
0.5717421.639021.419268e-08
0.5747421.6387711.442379e-08
0.5777561.6385251.465610e-08
0.581.6383441.482900e-08
0.5807871.6382811.484913e-08
0.5838331.638041.492704e-08
0.5868961.6378011.500536e-08
0.5899741.6375651.508410e-08
0.5930691.6373311.516324e-08
0.596181.63711.524281e-08
0.5993071.636871.532278e-08
0.6024511.6366441.540318e-08
0.6056111.6364191.548400e-08
0.6087881.6361971.556525e-08
0.6119811.6359771.564692e-08
0.6151911.6357591.572902e-08
0.6184181.6355441.581155e-08
0.621.6354391.585200e-08
0.6216621.635331.589447e-08
0.6249231.6351191.597779e-08
0.6282011.634911.606154e-08
0.6314961.6347021.614573e-08
0.6348091.6344971.623037e-08
0.6381391.6342941.631544e-08
0.6414861.6340931.640097e-08
0.6448511.6338931.648694e-08
0.6482341.6336961.657337e-08
0.6516341.63351.666024e-08
0.6550521.6333061.674758e-08
0.6584881.6331141.683537e-08
0.661.6330311.687400e-08
0.6619421.6329241.670577e-08
0.6654141.6327361.640499e-08
0.6689051.6325491.610263e-08
0.6724131.6323641.579869e-08
0.6759411.6321811.549315e-08
0.6794861.6319991.518601e-08
0.683051.6318191.487726e-08
0.6866331.6316411.456689e-08
0.6902351.6314641.425489e-08
0.6938561.6312881.394126e-08
0.6974951.6311151.362598e-08
0.71.6309971.340900e-08
0.7011541.6309421.337684e-08
0.7048321.6307721.327434e-08
0.7085291.6306021.317130e-08
0.7122461.6304351.306772e-08
0.7159821.6302681.296359e-08
0.7197371.6301031.285892e-08
0.7235131.6299391.275370e-08
0.7273081.6297771.264793e-08
0.7311231.6296161.254161e-08
0.7349581.6294561.243472e-08
0.7388131.6292981.232728e-08
0.7426891.6291411.221927e-08
0.7465841.6289851.211069e-08
0.7505011.628831.200155e-08
0.7544371.6286771.189183e-08
0.7583951.6285251.178154e-08
0.7623731.6283731.167067e-08
0.7663721.6282231.155922e-08
0.7703921.6280751.144718e-08
0.7744331.6279271.133456e-08
0.7784951.627781.122134e-08
0.7825791.6276351.110753e-08
0.7866841.627491.099313e-08
0.790811.6273471.087812e-08
0.7949581.6272041.076251e-08
0.7991281.6270631.064629e-08
0.803321.6269221.052947e-08
0.8075341.6267821.041203e-08
0.811771.6266441.029398e-08
0.8160281.6265061.017530e-08
0.8203081.6263691.005601e-08
0.8246111.6262339.936083e-09
0.8289371.6260989.815532e-09
0.8332851.6259649.694349e-09
0.8376561.6258319.572530e-09
0.842051.6256989.450072e-09
0.8464671.6255669.326972e-09
0.8509071.6254359.203225e-09
0.855371.6253059.078830e-09
0.8598571.6251768.953783e-09
0.8643671.6250478.828079e-09
0.8689011.6249198.701716e-09
0.8734591.6247928.574690e-09
0.8780411.6246658.446998e-09
0.8826471.6245398.318636e-09
0.8872771.6244148.189600e-09
0.8919311.6242898.059888e-09
0.8966091.6241657.929496e-09
0.9013131.6240427.798419e-09
0.906041.6239197.666655e-09
0.9107931.6237977.534200e-09
0.9155711.6236757.401050e-09
0.9203731.6235547.267201e-09
0.9252011.6234347.132651e-09
0.9300541.6233146.997394e-09
0.9349331.6231946.861429e-09
0.9398371.6230756.724750e-09
0.9447671.6229566.587354e-09
0.9497221.6228386.449237e-09
0.9547041.6227216.310396e-09
0.9597121.6226036.170826e-09
0.9647461.6224876.030525e-09
0.9698071.622375.889487e-09
0.9748941.6222545.747710e-09
0.9800081.6221385.605189e-09
0.9851481.6220235.461920e-09
0.9903161.6219085.317900e-09
0.995511.6217945.173124e-09
1.000731.6216795.027589e-09
1.005981.6215654.881291e-09
1.011261.6214524.734225e-09
1.016561.6213384.586388e-09
1.02191.6212254.437775e-09
1.027261.6211124.288383e-09
1.032641.6214.138207e-09
1.038061.6208873.987243e-09
1.043511.6207753.835488e-09
1.048981.6206633.682936e-09
1.054481.6205513.529585e-09
1.061.620443.375800e-09
1.060011.620443.378919e-09
1.065571.6203284.679599e-09
1.071161.6202175.987102e-09
1.076781.6201067.301463e-09
1.082431.6199948.622718e-09
1.088111.6198839.950905e-09
1.093821.6197731.128606e-08
1.099551.6196621.262821e-08
1.105321.6195511.397741e-08
1.111121.619441.533369e-08
1.116951.619331.669707e-08
1.122811.6192191.806761e-08
1.12871.6191081.944534e-08
1.134621.6189982.083030e-08
1.140571.6188872.222252e-08
1.146551.6187762.362204e-08
1.152561.6186662.502891e-08
1.158611.6185552.644315e-08
1.164691.6184442.786482e-08
1.17081.6183332.929394e-08
1.176941.6182223.073055e-08
1.183111.6181113.217470e-08
1.189321.6183.362643e-08
1.195561.6178883.508578e-08
1.201831.6177773.655277e-08
1.208131.6176653.802747e-08
1.214471.6175533.950989e-08
1.220841.6174414.100010e-08
1.227241.6173294.249812e-08
1.233681.6172164.400400e-08
1.240151.6171044.551777e-08
1.246661.6169914.703949e-08
1.25321.6168774.856919e-08
1.259771.6167645.010692e-08
1.266381.616655.165271e-08
1.273021.6165365.320661e-08
1.27971.6164225.476866e-08
1.286411.6163075.633890e-08
1.293161.6161925.791738e-08
1.299941.6160775.950414e-08
1.306761.6159616.109922e-08
1.313621.6158456.270267e-08
1.320511.6157286.431454e-08
1.327431.6156116.593485e-08
1.33441.6154946.756367e-08
1.34141.6153766.920103e-08
1.348431.6152587.084697e-08
1.355511.6151397.250156e-08
1.362621.615027.416482e-08
1.369761.61497.583680e-08
1.376951.614787.751756e-08
1.384171.6146597.920713e-08
1.391431.6145388.090557e-08
1.398731.6144168.261291e-08
1.406071.6142938.432921e-08
1.413441.614178.605451e-08
1.420861.6140478.778887e-08
1.428311.6139238.953232e-08
1.43581.6137989.128491e-08
1.443331.6136729.304670e-08
1.45091.6135469.481773e-08
1.458521.6134199.659805e-08
1.466171.6132929.838771e-08
1.473861.6131631.001868e-07
1.481591.6130341.019952e-07
1.489361.6129051.038132e-07
1.497171.6127741.056407e-07
1.505031.6126431.074778e-07
1.512921.6125111.093245e-07
1.520861.6123781.111809e-07
1.528831.6122441.130471e-07
1.531.6122251.133200e-07
1.536851.612111.203375e-07
1.544911.6119741.285926e-07
1.553021.6118381.368911e-07
1.561161.6117011.452331e-07
1.569351.6115631.536189e-07
1.577591.6114241.620487e-07
1.585861.6112841.705226e-07
1.594181.6111431.790411e-07
1.602541.6110011.876042e-07
1.610951.6108581.962122e-07
1.61941.6107142.048654e-07
1.627891.6105692.135639e-07
1.636431.6104232.223081e-07
1.645021.6102762.310982e-07
1.653641.6101282.399344e-07
1.662321.6099792.488169e-07
1.671041.6098282.577460e-07
1.67981.6096772.667220e-07
1.688611.6095242.757450e-07
1.697471.609372.848154e-07
1.706381.6092152.939333e-07
1.715331.6090593.030991e-07
1.724321.6089013.123129e-07
1.733371.6087423.215751e-07
1.742461.6085823.308859e-07
1.75161.608423.402455e-07
1.760791.6082573.496542e-07
1.770031.6080933.591122e-07
1.779311.6079273.686199e-07
1.788641.607763.781775e-07
1.798031.6075923.877851e-07
1.807461.6074223.974432e-07
1.816941.6072514.071519e-07
1.826471.6070784.169116e-07
1.836051.6069034.267224e-07
1.845681.6067274.365848e-07
1.855361.606554.464988e-07
1.865091.6063714.564648e-07
1.874881.606194.664832e-07
1.884711.6060084.765541e-07
1.89461.6058244.866778e-07
1.904541.6056384.968546e-07
1.914531.6054515.070848e-07
1.924571.6052615.173686e-07
1.934671.605075.277064e-07
1.944811.6048785.380984e-07
1.955011.6046835.485450e-07
1.965271.6044875.590463e-07
1.971.6043965.638900e-07
1.975581.6042886.277733e-07
1.985941.6040887.464413e-07
1.996361.6038868.657318e-07
2.006831.6036829.856480e-07
2.017361.6034761.106193e-06
2.027941.6032671.227371e-06
2.038581.6030571.349184e-06
2.049271.6028451.471636e-06
2.060021.6026311.594731e-06
2.070831.6024141.718471e-06
2.081691.6021951.842860e-06
2.092611.6019741.967902e-06
2.103581.6017512.093599e-06
2.114621.6015262.219956e-06
2.125711.6012982.346976e-06
2.136861.6010682.474662e-06
2.148071.6008352.603018e-06
2.159341.60062.732047e-06
2.170661.6003632.861753e-06
2.182051.6001232.992139e-06
2.19351.5998813.123209e-06
2.2051.5996363.254967e-06
2.216571.5993883.387416e-06
2.22821.5991383.520560e-06
2.239881.5988853.654402e-06
2.251631.598633.788946e-06
2.263441.5983713.924196e-06
2.275321.598114.060155e-06
2.287251.5978464.196827e-06
2.299251.5975794.334217e-06
2.311311.597314.472327e-06
2.323431.5970374.611161e-06
2.3251.5970024.629100e-06
2.335621.5967615.168337e-06
2.347871.5964835.790353e-06
2.360191.5962016.415631e-06
2.372571.5959167.044190e-06
2.385011.5956287.676046e-06
2.397521.5953378.311216e-06
2.41011.5950428.949718e-06
2.422741.5947449.591569e-06
2.435451.5944431.023679e-05
2.448231.5941381.088539e-05
2.461071.593831.153739e-05
2.473981.5935181.219282e-05
2.486951.5932031.285168e-05
2.51.5928841.351400e-05

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
—