Optical constants

Refractive index of KZFSN4 (SCHOTT)

KZFSN4: 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
1.6134
Extinction coefficient k
9.37538e-09
Permittivity ε1
2.60305
Permittivity ε2
3.02524e-08
Absorption coefficient α
0.00200501 cm⁻¹
Penetration depth δ = λ/(2πk)
9.97501e+09 nm
Abbe number Vd
44.295
Chromatic dispersion dn/dλ
-0.0709903 µm⁻¹
Group index ng
1.65511
Group velocity dispersion
129.017 fs²/mm
Dispersion parameter D
-703.855 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

# KZFSN4 (SCHOTT): KZFSN4
schott_kzfsn4 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "KZFSN4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_kzfsn4.range_nm)  # (310, 2500) nm
eps = schott_kzfsn4.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=1.37994218λ2λ2−0.00891159699+0.168496708λ2λ2−0.040533407+0.874885726λ2λ2−69.6628237

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.37994218
C30.00891159699
C40.168496708
C50.040533407
C60.874885726
C769.6628237

Comments and conditions

was replaced by N-KZFS4

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.01e-06 1.3e-08 -7.94e-11 4.05e-07 7.23e-10 0.272
nd
1.6134
Vd
44.29
glass code
613443.320
glass status
preferred
density
value: 3200
thermal expansion
value: 4.5e-06, temperature range: 243 343; value: 5.5e-06, temperature range: 293 573
dPgF
-0.0086
resistance
acid: 52.3; stain: 2.0; alkali: 4.3; climatic: 3.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.59e-06 K⁻¹ at 633 nm, dn/dT = 3.02e-06 K⁻¹ at 1310 nm, dn/dT = 2.97e-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
KZFSN4 (SCHOTT), KZFSN4: n and k versus wavelength
λ (µm)nk
0.311.6766593.460100e-06
0.3116261.6755183.200998e-06
0.3132611.6743992.940536e-06
0.3149041.67332.678709e-06
0.3165561.6722232.415508e-06
0.3182161.6711652.150926e-06
0.3198851.6701261.884957e-06
0.321.6700561.866700e-06
0.3215631.6691061.742937e-06
0.323251.6681051.609406e-06
0.3249461.6671211.475175e-06
0.326651.6661551.340240e-06
0.3283641.6652061.204597e-06
0.3300861.6642731.068243e-06
0.3318181.6633569.311733e-07
0.3335581.6624557.933846e-07
0.3341.6622297.584000e-07
0.3353081.6615697.263259e-07
0.3370671.6606986.831880e-07
0.3388351.6598416.398238e-07
0.3406121.6589995.962321e-07
0.3423991.658175.524117e-07
0.3441951.6573555.083615e-07
0.3461.6565534.640802e-07
0.3478151.6557654.195667e-07
0.349641.6549883.748197e-07
0.351.6548373.659800e-07
0.3514741.6542243.459212e-07
0.3533171.6534723.208255e-07
0.3551711.6527322.955982e-07
0.3570341.6520032.702385e-07
0.3589061.6512862.447458e-07
0.3607891.6505792.191194e-07
0.3626821.6498841.933586e-07
0.3645841.6491991.674626e-07
0.3651.6490511.618000e-07
0.3664961.6485241.505140e-07
0.3684191.6478591.360150e-07
0.371.6473231.240900e-07
0.3703511.6472041.224048e-07
0.3722941.6465591.130879e-07
0.3742471.6459241.037222e-07
0.376211.6452989.430736e-08
0.3781831.644688.484313e-08
0.381.6441237.613100e-08
0.3801671.6440727.566228e-08
0.3821611.6434737.007107e-08
0.3841661.6428826.445052e-08
0.3861811.64235.880049e-08
0.3882071.6417265.312083e-08
0.391.6412274.809300e-08
0.3902431.641164.773925e-08
0.392291.6406014.476065e-08
0.3943481.6400514.176642e-08
0.3964161.6395093.875649e-08
0.3984961.6389743.573076e-08
0.41.6385933.354200e-08
0.4005861.6384463.297184e-08
0.4026871.6379253.092774e-08
0.40481.6374122.887290e-08
0.4051.6373642.867800e-08
0.4069231.6369062.741791e-08
0.4090581.6364062.601924e-08
0.4112031.6359132.461324e-08
0.413361.6354272.319986e-08
0.4155281.6349472.177906e-08
0.4177081.6344742.035082e-08
0.4198991.6340071.891508e-08
0.421.6339861.884900e-08
0.4221021.6335461.838951e-08
0.4243161.6330911.790545e-08
0.4265421.6326421.741884e-08
0.4287791.6321991.692969e-08
0.4310281.6317621.643797e-08
0.4332891.631331.594367e-08
0.4355621.6309041.544678e-08
0.4361.6308231.535100e-08
0.4378471.6304831.507477e-08
0.4401431.6300681.473122e-08
0.4424521.6296581.438587e-08
0.4447731.6292531.403871e-08
0.4471061.6288531.368972e-08
0.4494511.6284591.333891e-08
0.4518091.6280691.298625e-08
0.4541791.6276841.263175e-08
0.4565611.6273041.227538e-08
0.4589561.6269281.191715e-08
0.461.6267671.176100e-08
0.4613641.6265571.163203e-08
0.4637841.6261911.140314e-08
0.4662161.6258291.117304e-08
0.4686621.6254721.094174e-08
0.471121.6251191.070922e-08
0.4735921.624771.047548e-08
0.4760761.6244261.024052e-08
0.4785731.6240851.000432e-08
0.4810831.6237499.766888e-09
0.4836071.6234169.528208e-09
0.4861441.6230889.288277e-09
0.4886941.6227639.047086e-09
0.4912571.6224438.804631e-09
0.4938341.6221268.560903e-09
0.4964241.6218138.315897e-09
0.4990281.6215038.069606e-09
0.51.6213897.977700e-09
0.5016461.6211978.003963e-09
0.5042771.6208958.045951e-09
0.5069221.6205968.088159e-09
0.5095821.62038.130588e-09
0.5122551.6200088.173240e-09
0.5149421.6197198.216115e-09
0.5176431.6194348.259215e-09
0.5203581.6191518.302542e-09
0.5230871.6188728.346095e-09
0.5258311.6185968.389878e-09
0.528591.6183238.433889e-09
0.5313621.6180538.478132e-09
0.5341491.6177878.522607e-09
0.5369511.6175238.567315e-09
0.5397681.6172628.612258e-09
0.5425991.6170038.657436e-09
0.5454451.6167488.702851e-09
0.5461.6166998.711700e-09
0.5483071.6164968.748496e-09
0.5511831.6162468.794379e-09
0.5540741.6159998.840502e-09
0.556981.6157548.886868e-09
0.5599021.6155138.933476e-09
0.5628391.6152738.980329e-09
0.5657911.6150379.027428e-09
0.5687591.6148029.074774e-09
0.5717421.6145719.122368e-09
0.5747421.6143419.170212e-09
0.5777561.6141159.218307e-09
0.581.6139489.254100e-09
0.5807871.613899.266657e-09
0.5838331.6136689.315272e-09
0.5868961.6134489.364141e-09
0.5899741.613239.413267e-09
0.5930691.6130159.462651e-09
0.596181.6128029.512294e-09
0.5993071.6125919.562197e-09
0.6024511.6123829.612361e-09
0.6056111.6121759.662789e-09
0.6087881.611979.713482e-09
0.6119811.6117689.764440e-09
0.6151911.6115679.815666e-09
0.6184181.6113689.867160e-09
0.621.6112729.892400e-09
0.6216621.6111719.918937e-09
0.6249231.6109769.970998e-09
0.6282011.6107831.002333e-08
0.6314961.6105921.007594e-08
0.6348091.6104031.012882e-08
0.6381391.6102161.018198e-08
0.6414861.610031.023542e-08
0.6448511.6098461.028915e-08
0.6482341.6096641.034315e-08
0.6516341.6094831.039743e-08
0.6550521.6093041.045200e-08
0.6584881.6091271.050686e-08
0.661.609051.053100e-08
0.6619421.6089521.056198e-08
0.6654141.6087781.061736e-08
0.6689051.6086051.067303e-08
0.6724131.6084351.072899e-08
0.6759411.6082651.078525e-08
0.6794861.6080971.084180e-08
0.683051.6079311.089865e-08
0.6866331.6077661.095580e-08
0.6902351.6076031.101325e-08
0.6938561.6074411.107100e-08
0.6974951.607281.112905e-08
0.71.6071711.116900e-08
0.7011541.6071211.118741e-08
0.7048321.6069631.124609e-08
0.7085291.6068061.130508e-08
0.7122461.6066511.136438e-08
0.7159821.6064971.142400e-08
0.7197371.6063451.148392e-08
0.7235131.6061931.154416e-08
0.7273081.6060431.160471e-08
0.7311231.6058941.166558e-08
0.7349581.6057461.172677e-08
0.7388131.6055991.178829e-08
0.7426891.6054541.185012e-08
0.7465841.6053091.191228e-08
0.7505011.6051661.197476e-08
0.7544371.6050241.203758e-08
0.7583951.6048821.210072e-08
0.7623731.6047421.216419e-08
0.7663721.6046031.222800e-08
0.7703921.6044651.229214e-08
0.7744331.6043281.235662e-08
0.7784951.6041921.242143e-08
0.7825791.6040571.248659e-08
0.7866841.6039221.255209e-08
0.790811.6037891.261793e-08
0.7949581.6036571.268411e-08
0.7991281.6035251.275065e-08
0.803321.6033951.281753e-08
0.8075341.6032651.288476e-08
0.811771.6031361.295235e-08
0.8160281.6030081.302029e-08
0.8203081.6028811.308859e-08
0.8246111.6027541.315724e-08
0.8289371.6026281.322626e-08
0.8332851.6025031.329564e-08
0.8376561.6023791.336538e-08
0.842051.6022561.343548e-08
0.8464671.6021331.350596e-08
0.8509071.6020111.357680e-08
0.855371.6018891.364802e-08
0.8598571.6017691.371961e-08
0.8643671.6016491.379157e-08
0.8689011.6015291.386392e-08
0.8734591.601411.393664e-08
0.8780411.6012921.400974e-08
0.8826471.6011741.408323e-08
0.8872771.6010571.415710e-08
0.8919311.6009411.423136e-08
0.8966091.6008251.430601e-08
0.9013131.6007091.438105e-08
0.906041.6005951.445649e-08
0.9107931.600481.453232e-08
0.9155711.6003661.460855e-08
0.9203731.6002531.468518e-08
0.9252011.600141.476221e-08
0.9300541.6000271.483964e-08
0.9349331.5999151.491748e-08
0.9398371.5998041.499573e-08
0.9447671.5996921.507439e-08
0.9497221.5995811.515346e-08
0.9547041.5994711.523295e-08
0.9597121.5993611.531285e-08
0.9647461.5992511.539317e-08
0.9698071.5991421.547392e-08
0.9748941.5990331.555508e-08
0.9800081.5989241.563668e-08
0.9851481.5988151.571870e-08
0.9903161.5987071.580115e-08
0.995511.5985991.588403e-08
1.000731.5984921.596735e-08
1.005981.5983841.605111e-08
1.011261.5982771.613530e-08
1.016561.598171.621994e-08
1.02191.5980631.630502e-08
1.027261.5979571.639055e-08
1.032641.597851.647652e-08
1.038061.5977441.656295e-08
1.043511.5976381.664983e-08
1.048981.5975321.673716e-08
1.054481.5974261.682496e-08
1.061.5973211.691300e-08
1.060011.5973211.692107e-08
1.065571.5972152.028594e-08
1.071161.597112.366847e-08
1.076781.5970042.706874e-08
1.082431.5968993.048684e-08
1.088111.5967943.392288e-08
1.093821.5966893.737693e-08
1.099551.5965834.084911e-08
1.105321.5964784.433950e-08
1.111121.5963734.784820e-08
1.116951.5962685.137530e-08
1.122811.5961635.492090e-08
1.12871.5960585.848511e-08
1.134621.5959526.206800e-08
1.140571.5958476.566970e-08
1.146551.5957426.929028e-08
1.152561.5956367.292986e-08
1.158611.595537.658853e-08
1.164691.5954258.026639e-08
1.17081.5953198.396354e-08
1.176941.5952138.768008e-08
1.183111.5951079.141612e-08
1.189321.5959.517176e-08
1.195561.5948949.894710e-08
1.201831.5947871.027422e-07
1.208131.594681.065573e-07
1.214471.5945731.103923e-07
1.220841.5944661.142475e-07
1.227241.5943591.181229e-07
1.233681.5942511.220186e-07
1.240151.5941431.259348e-07
1.246661.5940341.298715e-07
1.25321.5939261.338289e-07
1.259771.5938171.378070e-07
1.266381.5937071.418060e-07
1.273021.5935981.458259e-07
1.27971.5934881.498670e-07
1.286411.5933781.539292e-07
1.293161.5932671.580127e-07
1.299941.5931561.621177e-07
1.306761.5930441.662442e-07
1.313621.5929321.703924e-07
1.320511.592821.745623e-07
1.327431.5927071.787540e-07
1.33441.5925941.829678e-07
1.34141.592481.872037e-07
1.348431.5923661.914618e-07
1.355511.5922511.957422e-07
1.362621.5921362.000451e-07
1.369761.592022.043705e-07
1.376951.5919042.087186e-07
1.384171.5917872.130896e-07
1.391431.591672.174835e-07
1.398731.5915522.219004e-07
1.406071.5914332.263405e-07
1.413441.5913142.308038e-07
1.420861.5911942.352906e-07
1.428311.5910742.398010e-07
1.43581.5909522.443350e-07
1.443331.590832.488927e-07
1.45091.5907082.534744e-07
1.458521.5905852.580801e-07
1.466171.5904612.627100e-07
1.473861.5903362.673641e-07
1.481591.590212.720427e-07
1.489361.5900842.767458e-07
1.497171.5899572.814736e-07
1.505031.5898292.862262e-07
1.512921.58972.910037e-07
1.520861.5895712.958062e-07
1.528831.589443.006340e-07
1.531.5894213.013400e-07
1.536851.5893093.172270e-07
1.544911.5891773.359162e-07
1.553021.5890443.547034e-07
1.561161.588913.735892e-07
1.569351.5887753.925740e-07
1.577591.5886394.116584e-07
1.585861.5885024.308429e-07
1.594181.5883644.501280e-07
1.602541.5882254.695143e-07
1.610951.5880854.890023e-07
1.61941.5879445.085925e-07
1.627891.5878025.282855e-07
1.636431.5876595.480818e-07
1.645021.5875145.679819e-07
1.653641.5873695.879864e-07
1.662321.5872226.080958e-07
1.671041.5870756.283107e-07
1.67981.5869266.486317e-07
1.688611.5867756.690592e-07
1.697471.5866246.895939e-07
1.706381.5864717.102363e-07
1.715331.5863177.309870e-07
1.724321.5861627.518465e-07
1.733371.5860057.728155e-07
1.742461.5858487.938944e-07
1.75161.5856888.150840e-07
1.760791.5855288.363846e-07
1.770031.5853668.577970e-07
1.779311.5852028.793217e-07
1.788641.5850379.009594e-07
1.798031.5848719.227105e-07
1.807461.5847039.445757e-07
1.816941.5845339.665556e-07
1.826471.5843629.886508e-07
1.836051.584191.010862e-06
1.845681.5840161.033190e-06
1.855361.583841.055634e-06
1.865091.5836621.078197e-06
1.874881.5834831.100878e-06
1.884711.5833021.123677e-06
1.89461.583121.146597e-06
1.904541.5829361.169636e-06
1.914531.582751.192797e-06
1.924571.5825621.216079e-06
1.934671.5823721.239483e-06
1.944811.582181.263010e-06
1.955011.5819871.286660e-06
1.965271.5817911.310434e-06
1.971.5817011.321400e-06
1.975581.5815941.448679e-06
1.985941.5813951.685110e-06
1.996361.5811931.922780e-06
2.006831.580992.161698e-06
2.017361.5807852.401868e-06
2.027941.5805772.643299e-06
2.038581.5803672.885996e-06
2.049271.5801553.129966e-06
2.060021.5799413.375215e-06
2.070831.5797253.621751e-06
2.081691.5795063.869581e-06
2.092611.5792864.118710e-06
2.103581.5790624.369146e-06
2.114621.5788374.620896e-06
2.125711.5786094.873966e-06
2.136861.5783785.128364e-06
2.148071.5781455.384096e-06
2.159341.577915.641169e-06
2.170661.5776725.899592e-06
2.182051.5774316.159369e-06
2.19351.5771886.420510e-06
2.2051.5769426.683020e-06
2.216571.5766936.946907e-06
2.22821.5764427.212178e-06
2.239881.5761887.478841e-06
2.251631.5759317.746902e-06
2.263441.5756718.016370e-06
2.275321.5754088.287251e-06
2.287251.5751428.559553e-06
2.299251.5748738.833284e-06
2.311311.5746019.108450e-06
2.323431.5743269.385060e-06
2.3251.5742919.420800e-06
2.335621.5740481.029586e-05
2.347871.5737671.130525e-05
2.360191.5734821.231994e-05
2.372571.5731941.333995e-05
2.385011.5729031.436531e-05
2.397521.5726081.539605e-05
2.41011.572311.643219e-05
2.422741.5720081.747377e-05
2.435451.5717031.852082e-05
2.448231.5713941.957335e-05
2.461071.5710812.063141e-05
2.473981.5707652.169502e-05
2.486951.5704452.276421e-05
2.51.5701212.383900e-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
—