Optical constants

Refractive index of N-KZFS2 (SCHOTT)

N-KZFS2: 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
1.55836
Extinction coefficient k
1.12565e-08
Permittivity ε1
2.42848
Permittivity ε2
3.50834e-08
Absorption coefficient α
0.00240732 cm⁻¹
Penetration depth δ = λ/(2πk)
8.30801e+09 nm
Abbe number Vd
54.008
Chromatic dispersion dn/dλ
-0.0534838 µm⁻¹
Group index ng
1.58978
Group velocity dispersion
91.3612 fs²/mm
Dispersion parameter D
-498.424 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-KZFS2 (SCHOTT): N-KZFS2
schott_n_kzfs2 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-KZFS2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_kzfs2.range_nm)  # (310, 2500) nm
eps = schott_n_kzfs2.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=1.23697554λ2λ2−0.00747170505+0.153569376λ2λ2−0.0308053556+0.903976272λ2λ2−70.1731084

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.23697554
C30.00747170505
C40.153569376
C50.0308053556
C60.903976272
C770.1731084

Comments and conditions

suitable for precision molding. step 0.5 available

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.77e-06 1.31e-08 -1.23e-11 3.84e-07 5.51e-10 0.196
nd
1.55836
Vd
54.01
glass code
558540.255
glass status
standard
density
value: 2540
thermal expansion
value: 4.44e-06, temperature range: 243 343; value: 5.4e-06, temperature range: 293 573
dPgF
-0.0111
resistance
acid: 52.3; stain: 4.0; alkali: 4.3; climatic: 1.0; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.58e-06 K⁻¹ at 633 nm, dn/dT = 3.12e-06 K⁻¹ at 1310 nm, dn/dT = 3.08e-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-KZFS2 (SCHOTT), N-KZFS2: n and k versus wavelength
λ (µm)nk
0.311.6018863.460100e-06
0.3116261.601173.133824e-06
0.3132611.6004652.805836e-06
0.3149041.5997712.476128e-06
0.3165561.5990872.144690e-06
0.3182161.5984141.811514e-06
0.3198851.597751.476590e-06
0.321.5977051.453600e-06
0.3215631.5970971.353919e-06
0.323251.5964531.246372e-06
0.3249461.5958191.138261e-06
0.326651.5951941.029582e-06
0.3283641.5945789.203334e-07
0.3300861.5939718.105117e-07
0.3318181.5933737.001139e-07
0.3335581.5927835.891371e-07
0.3341.5926355.609600e-07
0.3353081.5922025.354295e-07
0.3370671.5916295.010924e-07
0.3388351.5910644.665752e-07
0.3406121.5905074.318769e-07
0.3423991.5899583.969966e-07
0.3441951.5894173.619334e-07
0.3461.5888833.266862e-07
0.3478151.5883562.912542e-07
0.349641.5878372.556362e-07
0.351.5877362.486000e-07
0.3514741.5873252.374782e-07
0.3533171.586822.235636e-07
0.3551711.5863222.095760e-07
0.3570341.585831.955150e-07
0.3589061.5853451.813803e-07
0.3607891.5848671.671714e-07
0.3626821.5843941.528880e-07
0.3645841.5839291.385297e-07
0.3651.5838281.353900e-07
0.3664961.5834691.281114e-07
0.3684191.5830151.187607e-07
0.371.5826491.110700e-07
0.3703511.5825681.102516e-07
0.3722941.5821261.057271e-07
0.3742471.581691.011789e-07
0.376211.581269.660686e-08
0.3781831.5808359.201081e-08
0.381.5804518.778000e-08
0.3801671.5804168.737705e-08
0.3821611.5800028.257033e-08
0.3841661.5795937.773841e-08
0.3861811.579197.288113e-08
0.3882071.5787916.799838e-08
0.391.5784456.367600e-08
0.3902431.5783986.329500e-08
0.392291.578016.008693e-08
0.3943481.5776265.686203e-08
0.3964161.5772485.362021e-08
0.3984961.5768745.036138e-08
0.41.5766074.800400e-08
0.4005861.5765044.744791e-08
0.4026871.576144.545423e-08
0.40481.5757794.345009e-08
0.4051.5757464.326000e-08
0.4069231.5754244.205325e-08
0.4090581.5750724.071377e-08
0.4112031.5747253.936727e-08
0.413361.5743823.801371e-08
0.4155281.5740433.665305e-08
0.4177081.5737093.528525e-08
0.4198991.5733783.391028e-08
0.421.5733633.384700e-08
0.4221021.5730513.289807e-08
0.4243161.5727293.189839e-08
0.4265421.572413.089347e-08
0.4287791.5720942.988328e-08
0.4310281.5717832.886779e-08
0.4332891.5714752.784697e-08
0.4355621.5711712.682080e-08
0.4361.5711132.662300e-08
0.4378471.5708712.604877e-08
0.4401431.5705742.533459e-08
0.4424521.570282.461666e-08
0.4447731.569992.389497e-08
0.4471061.5697032.316949e-08
0.4494511.569422.244020e-08
0.4518091.5691392.170709e-08
0.4541791.5688622.097014e-08
0.4565611.5685882.022932e-08
0.4589561.5683181.948461e-08
0.461.5682011.916000e-08
0.4613641.568051.894265e-08
0.4637841.5677851.855689e-08
0.4662161.5675241.816911e-08
0.4686621.5672651.777929e-08
0.471121.5670091.738743e-08
0.4735921.5667561.699351e-08
0.4760761.5665061.659753e-08
0.4785731.5662581.619947e-08
0.4810831.5660141.579932e-08
0.4836071.5657721.539707e-08
0.4861441.5655321.499272e-08
0.4886941.5652951.458624e-08
0.4912571.5650611.417763e-08
0.4938341.564831.376687e-08
0.4964241.56461.335396e-08
0.4990281.5643741.293889e-08
0.51.564291.278400e-08
0.5016461.564151.270081e-08
0.5042771.5639281.256781e-08
0.5069221.5637081.243411e-08
0.5095821.5634911.229972e-08
0.5122551.5632761.216461e-08
0.5149421.5630641.202880e-08
0.5176431.5628531.189228e-08
0.5203581.5626451.175504e-08
0.5230871.5624391.161708e-08
0.5258311.5622351.147840e-08
0.528591.5620331.133899e-08
0.5313621.5618341.119884e-08
0.5341491.5616361.105797e-08
0.5369511.561441.091635e-08
0.5397681.5612471.077399e-08
0.5425991.5610551.063089e-08
0.5454451.5608651.048703e-08
0.5461.5608281.045900e-08
0.5483071.5606771.050323e-08
0.5511831.5604911.055839e-08
0.5540741.5603071.061383e-08
0.556981.5601251.066956e-08
0.5599021.5599441.072559e-08
0.5628391.5597651.078191e-08
0.5657911.5595881.083853e-08
0.5687591.5594131.089544e-08
0.5717421.5592391.095265e-08
0.5747421.5590671.101016e-08
0.5777561.5588971.106797e-08
0.581.5587721.111100e-08
0.5807871.5587281.112607e-08
0.5838331.5585611.118441e-08
0.5868961.5583951.124306e-08
0.5899741.5582311.130201e-08
0.5930691.5580691.136127e-08
0.596181.5579081.142085e-08
0.5993071.5577491.148074e-08
0.6024511.557591.154094e-08
0.6056111.5574341.160145e-08
0.6087881.5572791.166229e-08
0.6119811.5571251.172344e-08
0.6151911.5569731.178491e-08
0.6184181.5568211.184671e-08
0.621.5567481.187700e-08
0.6216621.5566721.190883e-08
0.6249231.5565231.197128e-08
0.6282011.5563761.203405e-08
0.6314961.556231.209716e-08
0.6348091.5560861.216059e-08
0.6381391.5559421.222436e-08
0.6414861.55581.228846e-08
0.6448511.5556591.235290e-08
0.6482341.5555191.241767e-08
0.6516341.5553811.248279e-08
0.6550521.5552431.254824e-08
0.6584881.5551071.261404e-08
0.661.5550481.264300e-08
0.6619421.5549721.246275e-08
0.6654141.5548381.214049e-08
0.6689051.5547041.181653e-08
0.6724131.5545721.149088e-08
0.6759411.5544411.116352e-08
0.6794861.5543111.083444e-08
0.683051.5541821.050364e-08
0.6866331.5540541.017110e-08
0.6902351.5539279.836813e-09
0.6938561.5538019.500775e-09
0.6974951.5536769.162974e-09
0.71.5535918.930500e-09
0.7011541.5535528.999650e-09
0.7048321.5534289.220053e-09
0.7085291.5533069.441611e-09
0.7122461.5531849.664332e-09
0.7159821.5530649.888220e-09
0.7197371.5529441.011328e-08
0.7235131.5528251.033953e-08
0.7273081.5527071.056696e-08
0.7311231.5525891.079558e-08
0.7349581.5524721.102540e-08
0.7388131.5523561.125643e-08
0.7426891.5522411.148867e-08
0.7465841.5521271.172213e-08
0.7505011.5520131.195681e-08
0.7544371.55191.219273e-08
0.7583951.5517881.242988e-08
0.7623731.5516761.266828e-08
0.7663721.5515651.290792e-08
0.7703921.5514551.314882e-08
0.7744331.5513451.339099e-08
0.7784951.5512361.363443e-08
0.7825791.5511281.387914e-08
0.7866841.551021.412514e-08
0.790811.5509131.437243e-08
0.7949581.5508061.462101e-08
0.7991281.55071.487090e-08
0.803321.5505941.512210e-08
0.8075341.5504891.537462e-08
0.811771.5503851.562846e-08
0.8160281.5502811.588363e-08
0.8203081.5501771.614015e-08
0.8246111.5500741.639800e-08
0.8289371.5499721.665721e-08
0.8332851.5498691.691778e-08
0.8376561.5497681.717972e-08
0.842051.5496671.744303e-08
0.8464671.5495661.770772e-08
0.8509071.5494651.797380e-08
0.855371.5493651.824128e-08
0.8598571.5492661.851016e-08
0.8643671.5491661.878045e-08
0.8689011.5490671.905216e-08
0.8734591.5489691.932529e-08
0.8780411.5488711.959985e-08
0.8826471.5487731.987586e-08
0.8872771.5486752.015331e-08
0.8919311.5485782.043222e-08
0.8966091.5484812.071259e-08
0.9013131.5483842.099443e-08
0.906041.5482882.127775e-08
0.9107931.5481912.156256e-08
0.9155711.5480952.184886e-08
0.9203731.5482.213666e-08
0.9252011.5479042.242598e-08
0.9300541.5478092.271681e-08
0.9349331.5477142.300916e-08
0.9398371.5476192.330305e-08
0.9447671.5475242.359848e-08
0.9497221.5474292.389546e-08
0.9547041.5473352.419400e-08
0.9597121.547242.449410e-08
0.9647461.5471462.479578e-08
0.9698071.5470522.509904e-08
0.9748941.5469582.540389e-08
0.9800081.5468642.571034e-08
0.9851481.546772.601840e-08
0.9903161.5466772.632807e-08
0.995511.5465832.663937e-08
1.000731.5464892.695230e-08
1.005981.5463962.726688e-08
1.011261.5463022.758310e-08
1.016561.5462092.790098e-08
1.02191.5461152.822053e-08
1.027261.5460212.854175e-08
1.032641.5459282.886466e-08
1.038061.5458342.918927e-08
1.043511.5457412.951557e-08
1.048981.5456472.984359e-08
1.054481.5455533.017333e-08
1.061.5454593.050400e-08
1.060011.5454593.051168e-08
1.065571.5453653.371577e-08
1.071161.5452713.693667e-08
1.076781.5451774.017446e-08
1.082431.5450834.342923e-08
1.088111.5449884.670108e-08
1.093821.5448944.999009e-08
1.099551.5447995.329635e-08
1.105321.5447045.661996e-08
1.111121.5446095.996100e-08
1.116951.5445146.331956e-08
1.122811.5444196.669574e-08
1.12871.5443237.008963e-08
1.134621.5442277.350133e-08
1.140571.5441317.693092e-08
1.146551.5440358.037850e-08
1.152561.5439388.384416e-08
1.158611.5438418.732800e-08
1.164691.5437449.083012e-08
1.17081.5436479.435061e-08
1.176941.5435499.788956e-08
1.183111.5434511.014471e-07
1.189321.5433521.050233e-07
1.195561.5432541.086182e-07
1.201831.5431541.122320e-07
1.208131.5430551.158647e-07
1.214471.5429551.195165e-07
1.220841.5428551.231875e-07
1.227241.5427541.268777e-07
1.233681.5426531.305873e-07
1.240151.5425521.343163e-07
1.246661.542451.380649e-07
1.25321.5423481.418332e-07
1.259771.5422451.456212e-07
1.266381.5421411.494291e-07
1.273021.5420381.532570e-07
1.27971.5419331.571049e-07
1.286411.5418291.609730e-07
1.293161.5417231.648615e-07
1.299941.5416171.687703e-07
1.306761.5415111.726996e-07
1.313621.5414041.766495e-07
1.320511.5412961.806202e-07
1.327431.5411881.846117e-07
1.33441.5410791.886241e-07
1.34141.540971.926575e-07
1.348431.540861.967122e-07
1.355511.5407492.007880e-07
1.362621.5406382.048853e-07
1.369761.5405262.090041e-07
1.376951.5404132.131444e-07
1.384171.54032.173065e-07
1.391431.5401862.214904e-07
1.398731.5400712.256963e-07
1.406071.5399552.299242e-07
1.413441.5398392.341743e-07
1.420861.5397222.384467e-07
1.428311.5396042.427415e-07
1.43581.5394852.470589e-07
1.443331.5393652.513989e-07
1.45091.5392452.557616e-07
1.458521.5391232.601472e-07
1.466171.5390012.645559e-07
1.473861.5388782.689876e-07
1.481591.5387542.734426e-07
1.489361.5386292.779210e-07
1.497171.5385042.824229e-07
1.505031.5383772.869484e-07
1.512921.5382492.914976e-07
1.520861.538122.960707e-07
1.528831.5379913.006677e-07
1.531.5379723.013400e-07
1.536851.537863.184403e-07
1.544911.5377283.385567e-07
1.553021.5375953.587787e-07
1.561161.5374623.791067e-07
1.569351.5373273.995413e-07
1.577591.5371914.200832e-07
1.585861.5370534.407328e-07
1.594181.5369154.614907e-07
1.602541.5367764.823575e-07
1.610951.5366355.033337e-07
1.61941.5364935.244200e-07
1.627891.536355.456169e-07
1.636431.5362055.669250e-07
1.645021.536065.883448e-07
1.653641.5359136.098770e-07
1.662321.5357656.315221e-07
1.671041.5356156.532808e-07
1.67981.5354656.751537e-07
1.688611.5353126.971412e-07
1.697471.5351597.192441e-07
1.706381.5350047.414629e-07
1.715331.5348477.637983e-07
1.724321.534697.862509e-07
1.733371.534538.088212e-07
1.742461.5343698.315099e-07
1.75161.5342078.543176e-07
1.760791.5340438.772449e-07
1.770031.5338789.002926e-07
1.779311.5337119.234611e-07
1.788641.5335429.467511e-07
1.798031.5333729.701633e-07
1.807461.53329.936984e-07
1.816941.5330271.017357e-06
1.826471.5328511.041139e-06
1.836051.5326741.065047e-06
1.845681.5324961.089079e-06
1.855361.5323151.113238e-06
1.865091.5321331.137524e-06
1.874881.5319491.161937e-06
1.884711.5317631.186478e-06
1.89461.5315751.211147e-06
1.904541.5313851.235946e-06
1.914531.5311931.260876e-06
1.924571.5309991.285936e-06
1.934671.5308041.311127e-06
1.944811.5306061.336450e-06
1.955011.5304061.361907e-06
1.965271.5302041.387497e-06
1.971.5301111.399300e-06
1.975581.531.533974e-06
1.985941.5297941.784142e-06
1.996361.5295862.035622e-06
2.006831.5293752.288422e-06
2.017361.5291622.542547e-06
2.027941.5289472.798005e-06
2.038581.528733.054803e-06
2.049271.528513.312949e-06
2.060021.5282883.572448e-06
2.070831.5280633.833309e-06
2.081691.5278364.095538e-06
2.092611.5276074.359142e-06
2.103581.5273754.624129e-06
2.114621.527144.890506e-06
2.125711.5269035.158281e-06
2.136861.5266635.427460e-06
2.148071.526425.698051e-06
2.159341.5261755.970061e-06
2.170661.5259276.243499e-06
2.182051.5256766.518370e-06
2.19351.5254236.794683e-06
2.2051.5251667.072446e-06
2.216571.5249077.351666e-06
2.22821.5246447.632350e-06
2.239881.5243797.914507e-06
2.251631.5241118.198144e-06
2.263441.5238398.483268e-06
2.275321.5235648.769889e-06
2.287251.5232879.058012e-06
2.299251.5230059.347647e-06
2.311311.5227219.638801e-06
2.323431.5224339.931483e-06
2.3251.5223969.969300e-06
2.335621.5221421.091886e-05
2.347871.5218481.201419e-05
2.360191.521551.311526e-05
2.372571.5212481.422211e-05
2.385011.5209431.533476e-05
2.397521.5206341.645325e-05
2.41011.5203211.757761e-05
2.422741.5200051.870787e-05
2.435451.5196851.984405e-05
2.448231.5193612.098620e-05
2.461071.5190332.213433e-05
2.473981.5187012.328849e-05
2.486951.5183652.444870e-05
2.51.5180252.561500e-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
—