Optical constants

Refractive index of N-SF57HTultra (SCHOTT)

N-SF57HTultra: n,k 0.37–2.5 µm

Data
formula 2 + tabulated k
Range
0.37–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.37–2.5 µm
Refractive index n
1.84665
Extinction coefficient k
3.51154e-08
Permittivity ε1
3.41013
Permittivity ε2
1.29692e-07
Absorption coefficient α
0.00750975 cm⁻¹
Penetration depth δ = λ/(2πk)
2.66321e+09 nm
Abbe number Vd
23.78
Chromatic dispersion dn/dλ
-0.177623 µm⁻¹
Group index ng
1.95102
Group velocity dispersion
371.253 fs²/mm
Dispersion parameter D
-2025.38 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-SF57HTultra (SCHOTT): N-SF57HTultra
mat = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-SF57HTultra", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (370, 2500) nm
eps = mat.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=1.87543831λ2λ2−0.0141749518+0.37375749λ2λ2−0.0640509927+2.30001797λ2λ2−177.389795

Valid from 0.37 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.87543831
C30.0141749518
C40.37375749
C50.0640509927
C62.30001797
C7177.389795

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.51e-06 8.73e-09 -1.64e-11 1.07e-06 1.57e-09 0.295
nd
1.84666
Vd
23.78
glass code
847238.353
glass status
standard
density
value: 3533
thermal expansion
value: 8.46e-06, temperature range: 243 343; value: 9.88e-06, temperature range: 293 573
dPgF
0.0178
resistance
acid: 1.0; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.12e-07 K⁻¹ at 633 nm, dn/dT = -2.41e-06 K⁻¹ at 1310 nm, dn/dT = -2.52e-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 417 wavelengths, the same grid as the API and the library
N-SF57HTultra (SCHOTT), N-SF57HTultra: n and k versus wavelength
λ (µm)nk
0.371.9474748.135600e-06
0.3717761.9453797.157258e-06
0.373561.9433286.174220e-06
0.3753531.9413185.186464e-06
0.3771551.9393494.193966e-06
0.3789651.937423.196705e-06
0.381.9363392.626700e-06
0.3807841.9355292.506794e-06
0.3826121.9336752.227358e-06
0.3844481.9318571.946581e-06
0.3862941.9300731.664456e-06
0.3881481.9283241.380977e-06
0.391.9266171.097800e-06
0.3900111.9266081.097253e-06
0.3918831.9249231.003010e-06
0.3937641.923279.083145e-07
0.3956541.9216478.131648e-07
0.3975531.9200537.175583e-07
0.3994611.9184886.214930e-07
0.41.9180525.943600e-07
0.4013781.9169515.608404e-07
0.4033051.9154415.139908e-07
0.4051.914144.727700e-07
0.4052411.9139574.698368e-07
0.4071861.9124994.461354e-07
0.409141.9110664.223202e-07
0.4111041.9096583.983907e-07
0.4130771.9082733.743463e-07
0.415061.9069123.501866e-07
0.4170521.9055733.259108e-07
0.4190541.9042573.015186e-07
0.421.9036442.899900e-07
0.4210651.9029622.841902e-07
0.4230861.9016882.731870e-07
0.4251171.9004352.621309e-07
0.4271581.8992022.510218e-07
0.4292081.8979882.398593e-07
0.4312681.8967942.286432e-07
0.4333381.8956182.173734e-07
0.4354181.8944612.060494e-07
0.4361.8941412.028800e-07
0.4375081.8933221.990119e-07
0.4396081.89221.936246e-07
0.4417181.8910961.882115e-07
0.4438381.8900081.827724e-07
0.4459681.8889361.773072e-07
0.4481091.8878811.718158e-07
0.450261.8868421.662980e-07
0.4524211.8858181.607537e-07
0.4545921.8848091.551828e-07
0.4567741.8838141.495852e-07
0.4589671.8828351.439607e-07
0.461.8823791.413100e-07
0.461171.8818691.397122e-07
0.4633831.8809171.366885e-07
0.4656071.8799791.336503e-07
0.4678421.8790541.305975e-07
0.4700881.8781431.275301e-07
0.4723441.8772441.244480e-07
0.4746111.8763581.213510e-07
0.4768891.8754841.182392e-07
0.4791781.8746221.151125e-07
0.4814781.8737721.119707e-07
0.4837891.8729341.088139e-07
0.4861111.8721071.056419e-07
0.4884451.8712921.024547e-07
0.4907891.8704879.925217e-08
0.4931451.8696939.603430e-08
0.4955121.868919.280097e-08
0.497891.8681388.955213e-08
0.51.8674648.667000e-08
0.500281.8673758.643211e-08
0.5026811.8666238.439105e-08
0.5050941.865888.234019e-08
0.5075181.8651478.027949e-08
0.5099541.8644247.820889e-08
0.5124021.863717.612836e-08
0.5148611.8630067.403784e-08
0.5173331.862317.193729e-08
0.5198161.8616236.982666e-08
0.5223111.8609456.770589e-08
0.5248181.8602766.557495e-08
0.5273371.8596156.343378e-08
0.5298681.8589626.128233e-08
0.5324111.8583185.912055e-08
0.5349671.8576815.694840e-08
0.5375341.8570525.476583e-08
0.5401141.8564325.257277e-08
0.5427071.8558185.036919e-08
0.5453121.8552134.815504e-08
0.5461.8550544.757000e-08
0.5479291.8546154.688034e-08
0.5505591.8540244.594013e-08
0.5532021.853444.499541e-08
0.5558571.8528634.404615e-08
0.5585251.8522934.309234e-08
0.5612061.851734.213395e-08
0.5638991.8511744.117096e-08
0.5666061.8506244.020334e-08
0.5693261.8500813.923109e-08
0.5720581.8495443.825416e-08
0.5748041.8490143.727255e-08
0.5775631.848493.628622e-08
0.581.8480343.541500e-08
0.5803351.8479713.540178e-08
0.5831211.8474593.529197e-08
0.585921.8469533.518162e-08
0.5887321.8464533.507075e-08
0.5915581.8459583.495934e-08
0.5943971.8454693.484740e-08
0.597251.8449863.473492e-08
0.6001171.8445083.462190e-08
0.6029971.8440363.450834e-08
0.6058911.8435693.439423e-08
0.60881.8431073.427958e-08
0.6117221.842653.416437e-08
0.6146581.8421993.404861e-08
0.6176081.8417523.393230e-08
0.621.8413953.383800e-08
0.6205731.841313.380813e-08
0.6235511.8408743.365272e-08
0.6265441.8404423.349656e-08
0.6295511.8400153.333966e-08
0.6325731.8395923.318200e-08
0.6356091.8391743.302358e-08
0.638661.8387613.286441e-08
0.6417261.8383523.270447e-08
0.6448061.8379483.254376e-08
0.6479011.8375483.238228e-08
0.651011.8371523.222003e-08
0.6541351.836763.205700e-08
0.6572751.8363733.189318e-08
0.661.8360413.175100e-08
0.660431.8359893.169888e-08
0.66361.835613.131445e-08
0.6667851.8352353.092817e-08
0.6699851.8348633.054004e-08
0.6732011.8344963.015004e-08
0.6764321.8341322.975817e-08
0.6796791.8337722.936442e-08
0.6829411.8334162.896878e-08
0.6862191.8330642.857125e-08
0.6895131.8327152.817180e-08
0.6928231.8323692.777044e-08
0.6961481.8320282.736715e-08
0.6994891.8316892.696192e-08
0.71.8316382.690000e-08
0.7028471.8313542.674069e-08
0.706221.8310232.655192e-08
0.709611.8306942.636223e-08
0.7130161.8303692.617164e-08
0.7164381.8300482.598013e-08
0.7198771.8297292.578770e-08
0.7233321.8294142.559435e-08
0.7268041.8291012.540007e-08
0.7302931.8287922.520485e-08
0.7337981.8284862.500870e-08
0.737321.8281832.481161e-08
0.7408591.8278822.461358e-08
0.7444151.8275852.441459e-08
0.7479881.827292.421464e-08
0.7515781.8269982.401374e-08
0.7551861.8267092.381187e-08
0.7588111.8264232.360904e-08
0.7624531.826142.340523e-08
0.7661121.8258592.320044e-08
0.769791.825582.299467e-08
0.7734841.8253052.278791e-08
0.7771971.8250312.258016e-08
0.7809271.8247612.237141e-08
0.7846761.8244932.216166e-08
0.7884421.8242272.195091e-08
0.7922261.8239642.173914e-08
0.7960291.8237032.152635e-08
0.799851.8234442.131255e-08
0.8036891.8231882.109772e-08
0.8075461.8229342.088185e-08
0.8114221.8226822.066495e-08
0.8153171.8224332.044701e-08
0.8192311.8221852.022803e-08
0.8231631.821942.000799e-08
0.8271141.8216971.978689e-08
0.8310841.8214561.956474e-08
0.8350731.8212171.934152e-08
0.8390811.8209811.911722e-08
0.8431081.8207461.889186e-08
0.8471551.8205131.866540e-08
0.8512211.8202821.843787e-08
0.8553071.8200531.820924e-08
0.8594121.8198261.797951e-08
0.8635371.8196011.774868e-08
0.8676821.8193781.751674e-08
0.8718471.8191561.728369e-08
0.8760321.8189361.704952e-08
0.8802361.8187181.681423e-08
0.8844611.8185021.657780e-08
0.8887071.8182881.634024e-08
0.8929721.8180751.610155e-08
0.8972581.8178641.586170e-08
0.9015651.8176541.562071e-08
0.9058921.8174461.537855e-08
0.910241.817241.513524e-08
0.9146091.8170351.489076e-08
0.9189991.8168321.464510e-08
0.923411.816631.439827e-08
0.9278431.816431.415025e-08
0.9322961.8162321.390104e-08
0.9367711.8160341.365063e-08
0.9412671.8158391.339902e-08
0.9457851.8156441.314621e-08
0.9503251.8154511.289218e-08
0.9548861.8152591.263693e-08
0.9594691.8150691.238046e-08
0.9640751.814881.212275e-08
0.9687021.8146921.186381e-08
0.9733521.8145061.160363e-08
0.9780231.8143211.134219e-08
0.9827181.8141371.107951e-08
0.9874351.8139541.081556e-08
0.9921741.8137731.055034e-08
0.9969361.8135921.028385e-08
1.001721.8134131.001608e-08
1.006531.8132359.747031e-09
1.011361.8130589.476686e-09
1.016221.8128839.205044e-09
1.021091.8127088.932098e-09
1.025991.8125348.657842e-09
1.030921.8123618.382270e-09
1.035871.812198.105375e-09
1.040841.8120197.827150e-09
1.045831.811857.547591e-09
1.050851.8116817.266689e-09
1.05591.8115136.984440e-09
1.061.8113786.754900e-09
1.060971.8113466.943270e-09
1.066061.8111817.936133e-09
1.071181.8110168.933763e-09
1.076321.8108529.936180e-09
1.081481.8106881.094341e-08
1.086671.8105261.195547e-08
1.091891.8103641.297239e-08
1.097131.8102041.399420e-08
1.10241.8100441.502090e-08
1.107691.8098841.605254e-08
1.1131.8097261.708912e-08
1.118351.8095681.813069e-08
1.123711.8094111.917725e-08
1.129111.8092552.022883e-08
1.134531.80912.128546e-08
1.139971.8089452.234717e-08
1.145451.808792.341397e-08
1.150941.8086372.448589e-08
1.156471.8084842.556295e-08
1.162021.8083312.664519e-08
1.16761.808182.773262e-08
1.17321.8080292.882526e-08
1.178831.8078782.992316e-08
1.184491.8077283.102632e-08
1.190171.8075783.213478e-08
1.195891.8074293.324856e-08
1.201631.8072813.436768e-08
1.207391.8071333.549218e-08
1.213191.8069853.662207e-08
1.219011.8068383.775739e-08
1.224861.8066913.889815e-08
1.230741.8065454.004439e-08
1.236651.8063994.119614e-08
1.242591.8062544.235341e-08
1.248551.8061094.351623e-08
1.254541.8059644.468464e-08
1.260561.805824.585865e-08
1.266621.8056764.703830e-08
1.272691.8055324.822362e-08
1.27881.8053894.941462e-08
1.284941.8052465.061134e-08
1.291111.8051035.181380e-08
1.297311.804965.302203e-08
1.303531.8048185.423607e-08
1.309791.8046765.545593e-08
1.316081.8045345.668164e-08
1.322391.8043935.791324e-08
1.328741.8042515.915075e-08
1.335121.804116.039420e-08
1.341531.8039696.164362e-08
1.347971.8038286.289903e-08
1.354441.8036876.416047e-08
1.360941.8035466.542797e-08
1.367471.8034066.670155e-08
1.374031.8032656.798124e-08
1.380631.8031256.926707e-08
1.387251.8029857.055908e-08
1.393911.8028447.185729e-08
1.40061.8027047.316173e-08
1.407331.8025647.447243e-08
1.414081.8024247.578942e-08
1.420871.8022837.711273e-08
1.427691.8021437.844239e-08
1.434541.8020037.977844e-08
1.441431.8018638.112090e-08
1.448341.8017228.246980e-08
1.45531.8015828.382518e-08
1.462281.8014418.518706e-08
1.46931.80138.655548e-08
1.476351.801168.793047e-08
1.483441.8010198.931205e-08
1.490561.8008789.070027e-08
1.497711.8007369.209515e-08
1.50491.8005959.349673e-08
1.512131.8004539.490503e-08
1.519381.8003129.632010e-08
1.526681.800179.774195e-08
1.531.8001059.839000e-08
1.5341.8000271.039523e-07
1.541371.7998851.141811e-07
1.548771.7997421.244590e-07
1.55621.7995991.347862e-07
1.563671.7994561.451630e-07
1.571171.7993121.555895e-07
1.578711.7991681.660662e-07
1.586291.7990241.765931e-07
1.593911.7988791.871705e-07
1.601561.7987341.977987e-07
1.609241.7985892.084780e-07
1.616971.7984432.192085e-07
1.624731.7982972.299904e-07
1.632531.798152.408242e-07
1.640361.7980032.517099e-07
1.648241.7978562.626479e-07
1.656151.7977082.736384e-07
1.66411.7975592.846816e-07
1.672081.797412.957779e-07
1.680111.7972613.069274e-07
1.688171.7971113.181304e-07
1.696281.7969613.293872e-07
1.704421.796813.406980e-07
1.71261.7966583.520632e-07
1.720821.7965063.634828e-07
1.729081.7963533.749573e-07
1.737381.7961993.864869e-07
1.745721.7960453.980718e-07
1.75411.7958914.097123e-07
1.762521.7957354.214086e-07
1.770981.7955794.331611e-07
1.779481.7954224.449701e-07
1.788021.7952654.568357e-07
1.79661.7951074.687582e-07
1.805221.7949484.807380e-07
1.813891.7947884.927753e-07
1.822591.7946285.048703e-07
1.831341.7944665.170234e-07
1.840131.7943045.292349e-07
1.848971.7941415.415049e-07
1.857841.7939785.538339e-07
1.866761.7938135.662220e-07
1.875721.7936485.786696e-07
1.884721.7934815.911769e-07
1.893771.7933146.037443e-07
1.902861.7931466.163720e-07
1.911991.7929766.290603e-07
1.921171.7928066.418095e-07
1.930391.7926356.546199e-07
1.939651.7924636.674918e-07
1.948961.792296.804254e-07
1.958321.7921166.934212e-07
1.967721.7919417.064793e-07
1.971.7918987.096500e-07
1.977161.7917647.615021e-07
1.986651.7915878.302058e-07
1.996191.7914088.992392e-07
2.005771.7912299.686039e-07
2.01541.7910481.038302e-06
2.025071.7908661.108334e-06
2.034791.7906831.178702e-06
2.044561.7904981.249408e-06
2.054371.7903131.320454e-06
2.064231.7901261.391840e-06
2.074141.7899381.463569e-06
2.084091.7897491.535643e-06
2.09411.7895581.608062e-06
2.104151.7893661.680829e-06
2.114251.7891731.753945e-06
2.12441.7889781.827412e-06
2.134591.7887821.901232e-06
2.144841.7885841.975406e-06
2.155131.7883862.049936e-06
2.165481.7881852.124824e-06
2.175871.7879832.200072e-06
2.186321.787782.275680e-06
2.196811.7875752.351652e-06
2.207351.7873692.427988e-06
2.217951.7871612.504690e-06
2.228591.7869512.581761e-06
2.239291.786742.659201e-06
2.250041.7865272.737013e-06
2.260841.7863132.815199e-06
2.271691.7860972.893760e-06
2.282591.7858792.972698e-06
2.293551.785663.052015e-06
2.304561.7854383.131713e-06
2.315621.7852153.211793e-06
2.3251.7850263.279700e-06
2.326731.7849913.289616e-06
2.33791.7847643.353458e-06
2.349121.7845353.417606e-06
2.36041.7843053.482063e-06
2.371731.7840733.546828e-06
2.383111.7838393.611905e-06
2.394551.7836023.677294e-06
2.406041.7833643.742997e-06
2.417591.7831243.809015e-06
2.42921.7828823.875350e-06
2.440861.7826383.942003e-06
2.452571.7823924.008977e-06
2.464341.7821434.076271e-06
2.476171.7818934.143889e-06
2.488061.781644.211832e-06
2.51.7813854.280100e-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
—