Optical constants

Refractive index of N-LAK22 (SCHOTT)

N-LAK22: 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
1.65113
Extinction coefficient k
1.38949e-08
Permittivity ε1
2.72622
Permittivity ε2
4.58844e-08
Absorption coefficient α
0.00297155 cm⁻¹
Penetration depth δ = λ/(2πk)
6.73050e+09 nm
Abbe number Vd
55.892
Chromatic dispersion dn/dλ
-0.0600754 µm⁻¹
Group index ng
1.68643
Group velocity dispersion
106.532 fs²/mm
Dispersion parameter D
-581.19 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-LAK22 (SCHOTT): N-LAK22
schott_n_lak22 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAK22", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_lak22.range_nm)  # (310, 2500) nm
eps = schott_n_lak22.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=1.14229781λ2λ2−0.00585778594+0.535138441λ2λ2−0.0198546147+1.04088385λ2λ2−100.834017

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.14229781
C30.00585778594
C40.535138441
C50.0198546147
C61.04088385
C7100.834017

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.36e-06 1.49e-08 -1.29e-11 3.41e-07 2.09e-10 0.262
nd
1.65113
Vd
55.89
glass code
651559.377
glass status
standard
density
value: 3768
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0031
resistance
acid: 51.2; stain: 2.0; alkali: 1.0; climatic: 2.0; phosphate: 2.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.24e-06 K⁻¹ at 633 nm, dn/dT = 8.01e-07 K⁻¹ at 1310 nm, dn/dT = 7.66e-07 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-LAK22 (SCHOTT), N-LAK22: n and k versus wavelength
λ (µm)nk
0.311.6999843.860200e-06
0.3116261.6992023.613879e-06
0.3132611.6984323.366266e-06
0.3149041.6976733.117354e-06
0.3165561.6969242.867136e-06
0.3182161.6961852.615606e-06
0.3198851.6954562.362756e-06
0.321.6954072.345400e-06
0.3215631.6947382.208125e-06
0.323251.6940292.060016e-06
0.3249461.693331.911130e-06
0.326651.692641.761463e-06
0.3283641.691961.611011e-06
0.3300861.6912891.459770e-06
0.3318181.6906261.307736e-06
0.3335581.6899731.154904e-06
0.3341.6898091.116100e-06
0.3353081.6893281.063405e-06
0.3370671.6886929.925335e-07
0.3388351.6880649.212901e-07
0.3406121.6874458.496730e-07
0.3423991.6868347.776802e-07
0.3441951.686237.053097e-07
0.3461.6856356.325597e-07
0.3478151.6850475.594280e-07
0.349641.6844674.859128e-07
0.351.6843544.713900e-07
0.3514741.6838954.449810e-07
0.3533171.683334.119404e-07
0.3551711.6827723.787265e-07
0.3570341.6822213.453384e-07
0.3589061.6816773.117751e-07
0.3607891.6811412.780358e-07
0.3626821.6806112.441195e-07
0.3645841.6800882.100253e-07
0.3651.6799742.025700e-07
0.3664961.6795711.898176e-07
0.3684191.6790611.734345e-07
0.371.6786481.599600e-07
0.3703511.6785571.578833e-07
0.3722941.678061.464021e-07
0.3742471.6775691.348607e-07
0.376211.6770841.232588e-07
0.3781831.6766051.115960e-07
0.381.6761721.008600e-07
0.3801671.6761321.002384e-07
0.3821611.6756659.282332e-08
0.3841661.6752048.536935e-08
0.3861811.6747487.787628e-08
0.3882071.6742987.034391e-08
0.391.6739066.367600e-08
0.3902431.6738536.326286e-08
0.392291.6734145.978417e-08
0.3943481.6729815.628724e-08
0.3964161.6725525.277196e-08
0.3984961.6721294.923824e-08
0.41.6718274.668200e-08
0.4005861.6717114.612462e-08
0.4026871.6712984.412632e-08
0.40481.6708894.211754e-08
0.4051.6708514.192700e-08
0.4069231.6704864.124318e-08
0.4090581.6700884.048415e-08
0.4112031.6696943.972114e-08
0.413361.6693053.895412e-08
0.4155281.6689213.818309e-08
0.4177081.6685413.740800e-08
0.4198991.6681663.662886e-08
0.421.6681483.659300e-08
0.4221021.6677953.640174e-08
0.4243161.6674283.620026e-08
0.4265421.6670663.599772e-08
0.4287791.6667083.579411e-08
0.4310281.6663543.558944e-08
0.4332891.6660053.538369e-08
0.4355621.6656593.517687e-08
0.4361.6655933.513700e-08
0.4378471.6653173.470950e-08
0.4401431.664983.417781e-08
0.4424521.6646463.364334e-08
0.4447731.6643163.310606e-08
0.4471061.663993.256596e-08
0.4494511.6636683.202302e-08
0.4518091.6633493.147724e-08
0.4541791.6630343.092860e-08
0.4565611.6627233.037708e-08
0.4589561.6624152.982266e-08
0.461.6622822.958100e-08
0.4613641.662112.922760e-08
0.4637841.6618092.860038e-08
0.4662161.6615122.796987e-08
0.4686621.6612182.733605e-08
0.471121.6609272.669891e-08
0.4735921.6606392.605842e-08
0.4760761.6603552.541457e-08
0.4785731.6600732.476735e-08
0.4810831.6597952.411673e-08
0.4836071.659522.346270e-08
0.4861441.6592482.280524e-08
0.4886941.6589792.214433e-08
0.4912571.6587132.147996e-08
0.4938341.658452.081209e-08
0.4964241.6581892.014073e-08
0.4990281.6579321.946584e-08
0.51.6578371.921400e-08
0.5016461.6576771.896335e-08
0.5042771.6574251.856264e-08
0.5069221.6571761.815983e-08
0.5095821.656931.775490e-08
0.5122551.6566861.734785e-08
0.5149421.6564451.693866e-08
0.5176431.6562061.652733e-08
0.5203581.655971.611384e-08
0.5230871.6557361.569818e-08
0.5258311.6555051.528034e-08
0.528591.6552771.486031e-08
0.5313621.655051.443808e-08
0.5341491.6548271.401363e-08
0.5369511.6546051.358695e-08
0.5397681.6543861.315804e-08
0.5425991.6541691.272688e-08
0.5454451.6539541.229345e-08
0.5461.6539131.220900e-08
0.5483071.6537421.226056e-08
0.5511831.6535321.232485e-08
0.5540741.6533241.238948e-08
0.556981.6531181.245444e-08
0.5599021.6529141.251975e-08
0.5628391.6527131.258540e-08
0.5657911.6525131.265139e-08
0.5687591.6523151.271773e-08
0.5717421.652121.278442e-08
0.5747421.6519261.285146e-08
0.5777561.6517341.291885e-08
0.581.6515931.296900e-08
0.5807871.6515441.306487e-08
0.5838331.6513571.343601e-08
0.5868961.6511711.380909e-08
0.5899741.6509861.418414e-08
0.5930691.6508041.456115e-08
0.596181.6506231.494014e-08
0.5993071.6504451.532111e-08
0.6024511.6502681.570409e-08
0.6056111.6500921.608907e-08
0.6087881.6499191.647608e-08
0.6119811.6497471.686511e-08
0.6151911.6495761.725618e-08
0.6184181.6494081.764931e-08
0.621.6493261.784200e-08
0.6216621.649241.780177e-08
0.6249231.6490751.772286e-08
0.6282011.6489111.764353e-08
0.6314961.6487491.756379e-08
0.6348091.6485881.748363e-08
0.6381391.6484281.740304e-08
0.6414861.648271.732204e-08
0.6448511.6481141.724061e-08
0.6482341.6479591.715875e-08
0.6516341.6478051.707646e-08
0.6550521.6476531.699374e-08
0.6584881.6475021.691059e-08
0.661.6474371.687400e-08
0.6619421.6473531.670577e-08
0.6654141.6472051.640499e-08
0.6689051.6470581.610263e-08
0.6724131.6469121.579869e-08
0.6759411.6467681.549315e-08
0.6794861.6466251.518601e-08
0.683051.6464831.487726e-08
0.6866331.6463431.456689e-08
0.6902351.6462031.425489e-08
0.6938561.6460651.394126e-08
0.6974951.6459281.362598e-08
0.71.6458351.340900e-08
0.7011541.6457931.343110e-08
0.7048321.6456581.350156e-08
0.7085291.6455241.357238e-08
0.7122461.6453921.364357e-08
0.7159821.6452611.371514e-08
0.7197371.645131.378708e-08
0.7235131.6450011.385940e-08
0.7273081.6448731.393210e-08
0.7311231.6447461.400518e-08
0.7349581.644621.407864e-08
0.7388131.6444951.415249e-08
0.7426891.644371.422672e-08
0.7465841.6442471.430135e-08
0.7505011.6441251.437637e-08
0.7544371.6440041.445178e-08
0.7583951.6438831.452758e-08
0.7623731.6437641.460379e-08
0.7663721.6436451.468039e-08
0.7703921.6435271.475739e-08
0.7744331.643411.483480e-08
0.7784951.6432941.491262e-08
0.7825791.6431791.499084e-08
0.7866841.6430651.506947e-08
0.790811.6429511.514852e-08
0.7949581.6428381.522798e-08
0.7991281.6427261.530786e-08
0.803321.6426151.538815e-08
0.8075341.6425041.546887e-08
0.811771.6423941.555001e-08
0.8160281.6422851.563158e-08
0.8203081.6421771.571357e-08
0.8246111.6420691.579600e-08
0.8289371.6419621.587886e-08
0.8332851.6418561.596215e-08
0.8376561.641751.604588e-08
0.842051.6416451.613004e-08
0.8464671.641541.621465e-08
0.8509071.6414361.629970e-08
0.855371.6413331.638520e-08
0.8598571.641231.647115e-08
0.8643671.6411281.655755e-08
0.8689011.6410271.664440e-08
0.8734591.6409261.673171e-08
0.8780411.6408251.681947e-08
0.8826471.6407261.690770e-08
0.8872771.6406261.699639e-08
0.8919311.6405271.708554e-08
0.8966091.6404291.717516e-08
0.9013131.6403311.726525e-08
0.906041.6402341.735582e-08
0.9107931.6401371.744686e-08
0.9155711.640041.753837e-08
0.9203731.6399441.763037e-08
0.9252011.6398481.772285e-08
0.9300541.6397531.781581e-08
0.9349331.6396581.790926e-08
0.9398371.6395641.800321e-08
0.9447671.639471.809764e-08
0.9497221.6393761.819257e-08
0.9547041.6392831.828800e-08
0.9597121.6391891.838393e-08
0.9647461.6390971.848036e-08
0.9698071.6390041.857730e-08
0.9748941.6389121.867474e-08
0.9800081.6388211.877270e-08
0.9851481.6387291.887117e-08
0.9903161.6386381.897016e-08
0.995511.6385471.906967e-08
1.000731.6384561.916970e-08
1.005981.6383661.927025e-08
1.011261.6382761.937133e-08
1.016561.6381861.947294e-08
1.02191.6380961.957509e-08
1.027261.6380071.967777e-08
1.032641.6379171.978098e-08
1.038061.6378281.988474e-08
1.043511.6377391.998905e-08
1.048981.637652.009390e-08
1.054481.6375622.019930e-08
1.061.6374742.030500e-08
1.060011.6374732.030750e-08
1.065571.6373852.134898e-08
1.071161.6372972.239593e-08
1.076781.6372092.344837e-08
1.082431.6371212.450634e-08
1.088111.6370332.556985e-08
1.093821.6369452.663894e-08
1.099551.6368572.771363e-08
1.105321.6367692.879397e-08
1.111121.6366822.987997e-08
1.116951.6365943.097167e-08
1.122811.6365063.206909e-08
1.12871.6364193.317227e-08
1.134621.6363313.428124e-08
1.140571.6362443.539603e-08
1.146551.6361563.651666e-08
1.152561.6360683.764317e-08
1.158611.6359813.877559e-08
1.164691.6358933.991395e-08
1.17081.6358054.105828e-08
1.176941.6357174.220862e-08
1.183111.6356294.336498e-08
1.189321.6355424.452742e-08
1.195561.6354534.569595e-08
1.201831.6353654.687061e-08
1.208131.6352774.805143e-08
1.214471.6351894.923845e-08
1.220841.63515.043169e-08
1.227241.6350115.163119e-08
1.233681.6349225.283699e-08
1.240151.6348335.404911e-08
1.246661.6347445.526758e-08
1.25321.6346555.649245e-08
1.259771.6345655.772374e-08
1.266381.6344755.896150e-08
1.273021.6343856.020574e-08
1.27971.6342956.145651e-08
1.286411.6342056.271385e-08
1.293161.6341146.397777e-08
1.299941.6340236.524833e-08
1.306761.6339326.652555e-08
1.313621.633846.780947e-08
1.320511.6337486.910013e-08
1.327431.6336567.039756e-08
1.33441.6335637.170179e-08
1.34141.6334717.301286e-08
1.348431.6333777.433081e-08
1.355511.6332847.565568e-08
1.362621.633197.698749e-08
1.369761.6330967.832629e-08
1.376951.6330017.967211e-08
1.384171.6329068.102500e-08
1.391431.6328118.238497e-08
1.398731.6327158.375209e-08
1.406071.6326188.512637e-08
1.413441.6325228.650786e-08
1.420861.6324258.789660e-08
1.428311.6323278.929262e-08
1.43581.6322299.069597e-08
1.443331.632139.210667e-08
1.45091.6320319.352478e-08
1.458521.6319319.495033e-08
1.466171.6318319.638335e-08
1.473861.631739.782389e-08
1.481591.6316299.927199e-08
1.489361.6315271.007277e-07
1.497171.6314251.021910e-07
1.505031.6313221.036620e-07
1.512921.6312181.051407e-07
1.520861.6311141.066272e-07
1.528831.6310091.081215e-07
1.531.6309941.083400e-07
1.536851.6309041.169425e-07
1.544911.6307971.270623e-07
1.553021.6306911.372351e-07
1.561161.6305831.474613e-07
1.569351.6304751.577412e-07
1.577591.6303661.680750e-07
1.585861.6302561.784630e-07
1.594181.6301461.889054e-07
1.602541.6300351.994027e-07
1.610951.6299232.099550e-07
1.61941.629812.205627e-07
1.627891.6296972.312260e-07
1.636431.6295832.419452e-07
1.645021.6294682.527207e-07
1.653641.6293522.635527e-07
1.662321.6292352.744415e-07
1.671041.6291182.853874e-07
1.67981.6289992.963908e-07
1.688611.628883.074518e-07
1.697471.6287593.185709e-07
1.706381.6286383.297483e-07
1.715331.6285163.409844e-07
1.724321.6283933.522794e-07
1.733371.6282693.636336e-07
1.742461.6281443.750474e-07
1.75161.6280183.865210e-07
1.760791.6278913.980549e-07
1.770031.6277634.096492e-07
1.779311.6276334.213044e-07
1.788641.6275034.330207e-07
1.798031.6273724.447984e-07
1.807461.6272394.566379e-07
1.816941.6271064.685396e-07
1.826471.6269714.805036e-07
1.836051.6268354.925305e-07
1.845681.6266985.046204e-07
1.855361.626565.167737e-07
1.865091.626425.289908e-07
1.874881.626285.412719e-07
1.884711.6261385.536175e-07
1.89461.6259955.660279e-07
1.904541.625855.785033e-07
1.914531.6257045.910442e-07
1.924571.6255576.036508e-07
1.934671.6254096.163236e-07
1.944811.6252596.290629e-07
1.955011.6251086.418690e-07
1.965271.6249556.547423e-07
1.971.6248856.606800e-07
1.975581.6248017.058929e-07
1.985941.6246467.898792e-07
1.996361.6244898.743061e-07
2.006831.624339.591759e-07
2.017361.624171.044491e-06
2.027941.6240091.130253e-06
2.038581.6238461.216466e-06
2.049271.6236811.303130e-06
2.060021.6235151.390249e-06
2.070831.6233471.477825e-06
2.081691.6231771.565861e-06
2.092611.6230061.654358e-06
2.103581.6228331.743320e-06
2.114621.6226581.832748e-06
2.125711.6224821.922645e-06
2.136861.6223042.013014e-06
2.148071.6221242.103856e-06
2.159341.6219422.195176e-06
2.170661.6217582.286974e-06
2.182051.6215732.379254e-06
2.19351.6213852.472018e-06
2.2051.6211962.565268e-06
2.216571.6210052.659008e-06
2.22821.6208112.753239e-06
2.239881.6206162.847965e-06
2.251631.6204192.943188e-06
2.263441.6202193.038910e-06
2.275321.6200173.135134e-06
2.287251.6198143.231862e-06
2.299251.6196083.329099e-06
2.311311.61943.426845e-06
2.323431.619193.525104e-06
2.3251.6191623.537800e-06
2.335621.6189773.803276e-06
2.347871.6187624.109506e-06
2.360191.6185454.417342e-06
2.372571.6183254.726793e-06
2.385011.6181035.037868e-06
2.397521.6178795.350574e-06
2.41011.6176525.664920e-06
2.422741.6174235.980915e-06
2.435451.6171916.298568e-06
2.448231.6169576.617886e-06
2.461071.616726.938880e-06
2.473981.616487.261558e-06
2.486951.6162387.585928e-06
2.51.6159937.912000e-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
—