Optical constants

Refractive index of N-SF57 (SCHOTT)

N-SF57: 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
4.88958e-08
Permittivity ε1
3.41013
Permittivity ε2
1.80587e-07
Absorption coefficient α
0.0104568 cm⁻¹
Penetration depth δ = λ/(2πk)
1.91263e+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-SF57 (SCHOTT): N-SF57
schott_n_sf57 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-SF57", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_sf57.range_nm)  # (370, 2500) nm
eps = schott_n_sf57.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-SF57 (SCHOTT), N-SF57: n and k versus wavelength
λ (µm)nk
0.371.9474748.135600e-06
0.3717761.9453797.334300e-06
0.373561.9433286.529155e-06
0.3753531.9413185.720144e-06
0.3771551.9393494.907251e-06
0.3789651.937424.090456e-06
0.381.9363393.623600e-06
0.3807841.9355293.474386e-06
0.3826121.9336753.126649e-06
0.3844481.9318572.777244e-06
0.3862941.9300732.426161e-06
0.3881481.9283242.073393e-06
0.391.9266171.721000e-06
0.3900111.9266081.720204e-06
0.3918831.9249231.583121e-06
0.3937641.923271.445380e-06
0.3956541.9216471.306977e-06
0.3975531.9200531.167911e-06
0.3994611.9184881.028177e-06
0.41.9180529.887100e-07
0.4013781.9169519.351322e-07
0.4033051.9154418.602475e-07
0.4051.914147.943600e-07
0.4052411.9139577.889603e-07
0.4071861.9124997.453283e-07
0.409141.9110667.014869e-07
0.4111041.9096586.574350e-07
0.4130771.9082736.131717e-07
0.415061.9069125.686960e-07
0.4170521.9055735.240067e-07
0.4190541.9042574.791030e-07
0.421.9036444.578800e-07
0.4210651.9029624.468657e-07
0.4230861.9016884.259695e-07
0.4251171.9004354.049730e-07
0.4271581.8992023.838757e-07
0.4292081.8979883.626771e-07
0.4312681.8967943.413768e-07
0.4333381.8956183.199742e-07
0.4354181.8944612.984690e-07
0.4361.8941412.924500e-07
0.4375081.8933222.861506e-07
0.4396081.89222.773772e-07
0.4417181.8910962.685616e-07
0.4438381.8900082.597038e-07
0.4459681.8889362.508034e-07
0.4481091.8878812.418603e-07
0.450261.8868422.328743e-07
0.4524211.8858182.238451e-07
0.4545921.8848092.147726e-07
0.4567741.8838142.056566e-07
0.4589671.8828351.964968e-07
0.461.8823791.921800e-07
0.461171.8818691.899377e-07
0.4633831.8809171.856943e-07
0.4656071.8799791.814306e-07
0.4678421.8790541.771465e-07
0.4700881.8781431.728417e-07
0.4723441.8772441.685164e-07
0.4746111.8763581.641702e-07
0.4768891.8754841.598032e-07
0.4791781.8746221.554152e-07
0.4814781.8737721.510062e-07
0.4837891.8729341.465760e-07
0.4861111.8721071.421245e-07
0.4884451.8712921.376517e-07
0.4907891.8704871.331574e-07
0.4931451.8696931.286415e-07
0.4955121.868911.241040e-07
0.497891.8681381.195447e-07
0.51.8674641.155000e-07
0.500281.8673751.151740e-07
0.5026811.8666231.123770e-07
0.5050941.865881.095666e-07
0.5075181.8651471.067427e-07
0.5099541.8644241.039053e-07
0.5124021.863711.010542e-07
0.5148611.8630069.818942e-08
0.5173331.862319.531092e-08
0.5198161.8616239.241859e-08
0.5223111.8609458.951238e-08
0.5248181.8602768.659223e-08
0.5273371.8596158.365806e-08
0.5298681.8589628.070980e-08
0.5324111.8583187.774740e-08
0.5349671.8576817.477077e-08
0.5375341.8570527.177986e-08
0.5401141.8564326.877459e-08
0.5427071.8558186.575489e-08
0.5453121.8552136.272071e-08
0.5461.8550546.191900e-08
0.5479291.8546156.105788e-08
0.5505591.8540245.988391e-08
0.5532021.853445.870431e-08
0.5558571.8528635.751905e-08
0.5585251.8522935.632810e-08
0.5612061.851735.513143e-08
0.5638991.8511745.392902e-08
0.5666061.8506245.272083e-08
0.5693261.8500815.150685e-08
0.5720581.8495445.028704e-08
0.5748041.8490144.906138e-08
0.5775631.848494.782983e-08
0.581.8480344.674200e-08
0.5803351.8479714.683700e-08
0.5831211.8474594.762641e-08
0.585921.8469534.841961e-08
0.5887321.8464534.921661e-08
0.5915581.8459585.001744e-08
0.5943971.8454695.082212e-08
0.597251.8449865.163066e-08
0.6001171.8445085.244308e-08
0.6029971.8440365.325940e-08
0.6058911.8435695.407963e-08
0.60881.8431075.490381e-08
0.6117221.842655.573194e-08
0.6146581.8421995.656404e-08
0.6176081.8417525.740014e-08
0.621.8413955.807800e-08
0.6205731.841315.819363e-08
0.6235511.8408745.879524e-08
0.6265441.8404425.939974e-08
0.6295511.8400156.000714e-08
0.6325731.8395926.061745e-08
0.6356091.8391746.123069e-08
0.638661.8387616.184688e-08
0.6417261.8383526.246602e-08
0.6448061.8379486.308814e-08
0.6479011.8375486.371324e-08
0.651011.8371526.434134e-08
0.6541351.836766.497246e-08
0.6572751.8363736.560661e-08
0.661.8360416.615700e-08
0.660431.8359896.600325e-08
0.66361.835616.486913e-08
0.6667851.8352356.372956e-08
0.6699851.8348636.258452e-08
0.6732011.8344966.143399e-08
0.6764321.8341326.027793e-08
0.6796791.8337725.911633e-08
0.6829411.8334165.794915e-08
0.6862191.8330645.677636e-08
0.6895131.8327155.559795e-08
0.6928231.8323695.441388e-08
0.6961481.8320285.322413e-08
0.6994891.8316895.202867e-08
0.71.8316385.184600e-08
0.7028471.8313545.151617e-08
0.706221.8310235.112532e-08
0.709611.8306945.073259e-08
0.7130161.8303695.033798e-08
0.7164381.8300484.994147e-08
0.7198771.8297294.954306e-08
0.7233321.8294144.914274e-08
0.7268041.8291014.874049e-08
0.7302931.8287924.833632e-08
0.7337981.8284864.793021e-08
0.737321.8281834.752214e-08
0.7408591.8278824.711212e-08
0.7444151.8275854.670013e-08
0.7479881.827294.628616e-08
0.7515781.8269984.587021e-08
0.7551861.8267094.545226e-08
0.7588111.8264234.503230e-08
0.7624531.826144.461032e-08
0.7661121.8258594.418633e-08
0.769791.825584.376029e-08
0.7734841.8253054.333221e-08
0.7771971.8250314.290208e-08
0.7809271.8247614.246988e-08
0.7846761.8244934.203561e-08
0.7884421.8242274.159925e-08
0.7922261.8239644.116080e-08
0.7960291.8237034.072025e-08
0.799851.8234444.027758e-08
0.8036891.8231883.983278e-08
0.8075461.8229343.938585e-08
0.8114221.8226823.893678e-08
0.8153171.8224333.848555e-08
0.8192311.8221853.803215e-08
0.8231631.821943.757658e-08
0.8271141.8216973.711882e-08
0.8310841.8214563.665886e-08
0.8350731.8212173.619670e-08
0.8390811.8209813.573232e-08
0.8431081.8207463.526571e-08
0.8471551.8205133.479685e-08
0.8512211.8202823.432575e-08
0.8553071.8200533.385239e-08
0.8594121.8198263.337676e-08
0.8635371.8196013.289884e-08
0.8676821.8193783.241863e-08
0.8718471.8191563.193611e-08
0.8760321.8189363.145128e-08
0.8802361.8187183.096412e-08
0.8844611.8185023.047462e-08
0.8887071.8182882.998277e-08
0.8929721.8180752.948857e-08
0.8972581.8178642.899199e-08
0.9015651.8176542.849302e-08
0.9058921.8174462.799166e-08
0.910241.817242.748790e-08
0.9146091.8170352.698172e-08
0.9189991.8168322.647310e-08
0.923411.816632.596205e-08
0.9278431.816432.544854e-08
0.9322961.8162322.493257e-08
0.9367711.8160342.441412e-08
0.9412671.8158392.389319e-08
0.9457851.8156442.336975e-08
0.9503251.8154512.284380e-08
0.9548861.8152592.231533e-08
0.9594691.8150692.178432e-08
0.9640751.814882.125076e-08
0.9687021.8146922.071464e-08
0.9733521.8145062.017594e-08
0.9780231.8143211.963467e-08
0.9827181.8141371.909079e-08
0.9874351.8139541.854430e-08
0.9921741.8137731.799519e-08
0.9969361.8135921.744344e-08
1.001721.8134131.688905e-08
1.006531.8132351.633199e-08
1.011361.8130581.577227e-08
1.016221.8128831.520985e-08
1.021091.8127081.464473e-08
1.025991.8125341.407691e-08
1.030921.8123611.350635e-08
1.035871.812191.293306e-08
1.040841.8120191.235702e-08
1.045831.811851.177821e-08
1.050851.8116811.119662e-08
1.05591.8115131.061225e-08
1.061.8113781.013700e-08
1.060971.8113461.031842e-08
1.066061.8111811.127464e-08
1.071181.8110161.223544e-08
1.076321.8108521.320086e-08
1.081481.8106881.417092e-08
1.086671.8105261.514563e-08
1.091891.8103641.612502e-08
1.097131.8102041.710911e-08
1.10241.8100441.809792e-08
1.107691.8098841.909148e-08
1.1131.8097262.008981e-08
1.118351.8095682.109293e-08
1.123711.8094112.210086e-08
1.129111.8092552.311363e-08
1.134531.80912.413127e-08
1.139971.8089452.515378e-08
1.145451.808792.618121e-08
1.150941.8086372.721357e-08
1.156471.8084842.825088e-08
1.162021.8083312.929317e-08
1.16761.808183.034046e-08
1.17321.8080293.139278e-08
1.178831.8078783.245016e-08
1.184491.8077283.351260e-08
1.190171.8075783.458015e-08
1.195891.8074293.565282e-08
1.201631.8072813.673064e-08
1.207391.8071333.781363e-08
1.213191.8069853.890182e-08
1.219011.8068383.999524e-08
1.224861.8066914.109390e-08
1.230741.8065454.219783e-08
1.236651.8063994.330707e-08
1.242591.8062544.442162e-08
1.248551.8061094.554153e-08
1.254541.8059644.666682e-08
1.260561.805824.779750e-08
1.266621.8056764.893361e-08
1.272691.8055325.007518e-08
1.27881.8053895.122222e-08
1.284941.8052465.237477e-08
1.291111.8051035.353285e-08
1.297311.804965.469649e-08
1.303531.8048185.586571e-08
1.309791.8046765.704055e-08
1.316081.8045345.822103e-08
1.322391.8043935.940717e-08
1.328741.8042516.059901e-08
1.335121.804116.179656e-08
1.341531.8039696.299987e-08
1.347971.8038286.420895e-08
1.354441.8036876.542383e-08
1.360941.8035466.664454e-08
1.367471.8034066.787112e-08
1.374031.8032656.910358e-08
1.380631.8031257.034195e-08
1.387251.8029857.158627e-08
1.393911.8028447.283657e-08
1.40061.8027047.409286e-08
1.407331.8025647.535518e-08
1.414081.8024247.662357e-08
1.420871.8022837.789804e-08
1.427691.8021437.917863e-08
1.434541.8020038.046536e-08
1.441431.8018638.175827e-08
1.448341.8017228.305739e-08
1.45531.8015828.436274e-08
1.462281.8014418.567436e-08
1.46931.80138.699227e-08
1.476351.801168.831651e-08
1.483441.8010198.964710e-08
1.490561.8008789.098409e-08
1.497711.8007369.232749e-08
1.50491.8005959.367733e-08
1.512131.8004539.503366e-08
1.519381.8003129.639649e-08
1.526681.800179.776587e-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
—