Optical constants

Refractive index of SFL57 (SCHOTT)

SFL57: n,k 0.39–2.5 µm

Data
formula 2 + tabulated k
Range
0.39–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.39–2.5 µm
Refractive index n
1.84666
Extinction coefficient k
5.50429e-08
Permittivity ε1
3.41014
Permittivity ε2
2.03291e-07
Absorption coefficient α
0.0117714 cm⁻¹
Penetration depth δ = λ/(2πk)
1.69903e+09 nm
Abbe number Vd
23.623
Chromatic dispersion dn/dλ
-0.1788 µm⁻¹
Group index ng
1.95172
Group velocity dispersion
373.784 fs²/mm
Dispersion parameter D
-2039.19 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

# SFL57 (SCHOTT): SFL57
schott_sfl57 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "SFL57", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_sfl57.range_nm)  # (390, 2500) nm
eps = schott_sfl57.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=1.88742326λ2λ2−0.0145939341+0.360534025λ2λ2−0.0648198946+2.26189313λ2λ2−176.062211

Valid from 0.39 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.88742326
C30.0145939341
C40.360534025
C50.0648198946
C62.26189313
C7176.062211

Comments and conditions

inquiry glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.63e-06 8.61e-09 -9.98e-12 1.1e-06 1.69e-09 0.293
nd
1.84666
Vd
23.62
glass code
847236.355
glass status
special
density
value: 3550
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
0.0177
resistance
acid: 1.3; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.82e-08 K⁻¹ at 633 nm, dn/dT = -1.85e-06 K⁻¹ at 1310 nm, dn/dT = -1.96e-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 415 wavelengths, the same grid as the API and the library
SFL57 (SCHOTT), SFL57: n and k versus wavelength
λ (µm)nk
0.391.9271944.353100e-06
0.391821.9255413.933738e-06
0.3936491.9239193.512419e-06
0.3954861.9223253.089133e-06
0.3973321.920762.663872e-06
0.3991861.9192222.236626e-06
0.41.9185582.049200e-06
0.401051.9177111.954024e-06
0.4029211.9162261.784289e-06
0.4048021.9147671.613762e-06
0.4051.9146151.595800e-06
0.4066911.9133321.514445e-06
0.4085891.9119211.423138e-06
0.4104961.9105341.331404e-06
0.4124121.909171.239242e-06
0.4143371.9078281.146650e-06
0.4162711.9065081.053626e-06
0.4182141.905219.601676e-07
0.421.904048.742400e-07
0.4201661.9039328.709438e-07
0.4221271.9026758.319146e-07
0.4240971.9014377.927033e-07
0.4260761.9002197.533090e-07
0.4280651.899027.137309e-07
0.4300631.897846.739680e-07
0.432071.8966786.340195e-07
0.4340861.8955335.938846e-07
0.4361.8944685.558000e-07
0.4361121.8944065.547269e-07
0.4381481.8932965.352994e-07
0.4401931.8922025.157813e-07
0.4422471.8911254.961720e-07
0.4443111.8900634.764713e-07
0.4463851.8890174.566786e-07
0.4484681.8879874.367935e-07
0.4505621.8869714.168156e-07
0.4526641.885973.967445e-07
0.4547771.8849843.765797e-07
0.45691.8840113.563207e-07
0.4590321.8830523.359673e-07
0.461.8826233.267300e-07
0.4611751.8821073.225818e-07
0.4633271.8811753.149806e-07
0.4654891.8802563.073439e-07
0.4676621.879352.996715e-07
0.4698451.8784562.919633e-07
0.4720381.8775742.842191e-07
0.4742411.8767052.764388e-07
0.4764541.8758472.686222e-07
0.4786781.8750012.607691e-07
0.4809121.8741662.528794e-07
0.4831571.8733432.449528e-07
0.4854121.872532.369892e-07
0.4876771.8717282.289885e-07
0.4899531.8709372.209504e-07
0.492241.8701562.128748e-07
0.4945371.8693852.047615e-07
0.4968451.8686241.966104e-07
0.4991641.8678731.884212e-07
0.51.8676061.854700e-07
0.5014941.8671321.820451e-07
0.5038351.86641.766797e-07
0.5061861.8656781.712893e-07
0.5085491.8649641.658737e-07
0.5109221.864261.604328e-07
0.5133071.8635651.549665e-07
0.5157031.8628781.494747e-07
0.5181091.86221.439573e-07
0.5205281.861531.384141e-07
0.5229571.8608691.328451e-07
0.5253981.8602151.272500e-07
0.527851.859571.216289e-07
0.5303141.8589321.159815e-07
0.5327891.8583031.103077e-07
0.5352751.8576811.046075e-07
0.5377741.8570669.888067e-08
0.5402831.8564599.312711e-08
0.5428051.8558598.734670e-08
0.5453391.8552678.153930e-08
0.5461.8551138.002300e-08
0.5478841.8546817.859954e-08
0.5504411.8541027.666727e-08
0.553011.853537.472598e-08
0.5555911.8529657.277563e-08
0.5581841.8524067.081618e-08
0.5607891.8518546.884758e-08
0.5634071.8513096.686979e-08
0.5660361.8507696.488277e-08
0.5686781.8502366.288648e-08
0.5713321.8497096.088087e-08
0.5739991.8491885.886590e-08
0.5766781.8486735.684153e-08
0.5793691.8481645.480771e-08
0.581.8480465.433100e-08
0.5820731.8476615.452521e-08
0.584791.8471635.477969e-08
0.5875191.8466715.503536e-08
0.5902611.8461845.529223e-08
0.5930161.8457035.555030e-08
0.5957841.8452275.580956e-08
0.5985651.8447565.607004e-08
0.6013581.8442915.633174e-08
0.6041651.8438315.659466e-08
0.6069851.8433765.685880e-08
0.6098181.8429255.712418e-08
0.6126641.842485.739079e-08
0.6155231.842045.765865e-08
0.6183961.8416045.792776e-08
0.621.8413635.807800e-08
0.6212821.8411735.833700e-08
0.6241821.8407465.892267e-08
0.6270951.8403255.951106e-08
0.6300221.8399076.010220e-08
0.6329631.8394946.069611e-08
0.6359171.8390866.129278e-08
0.6388851.8386826.189224e-08
0.6418671.8382826.249449e-08
0.6448621.8378866.309956e-08
0.6478721.8374946.370745e-08
0.6508961.8371076.431818e-08
0.6539341.8367236.493175e-08
0.6569861.8363446.554820e-08
0.661.8359746.615700e-08
0.6600521.8359686.614134e-08
0.6631331.8355966.521492e-08
0.6662281.8352286.428418e-08
0.6693371.8348646.334909e-08
0.6724611.8345046.240963e-08
0.67561.8341476.146580e-08
0.6787531.8337946.051755e-08
0.6819211.8334445.956488e-08
0.6851031.8330985.860777e-08
0.6883011.8327555.764619e-08
0.6915131.8324165.668012e-08
0.6947411.832085.570954e-08
0.6979831.8317475.473443e-08
0.71.8315435.412800e-08
0.7012411.8314185.404656e-08
0.7045141.8310925.383178e-08
0.7078021.8307695.361601e-08
0.7111061.8304495.339923e-08
0.7144251.8301325.318143e-08
0.7177591.8298195.296262e-08
0.7211091.8295085.274279e-08
0.7244741.82925.252193e-08
0.7278561.8288965.230004e-08
0.7312531.8285945.207712e-08
0.7346661.8282955.185316e-08
0.7380951.8279995.162815e-08
0.741541.8277065.140209e-08
0.7451.8274155.117497e-08
0.7484781.8271275.094679e-08
0.7519711.8268425.071755e-08
0.7554811.826565.048724e-08
0.7590071.826285.025586e-08
0.7625491.8260025.002340e-08
0.7661081.8257274.978985e-08
0.7696841.8254554.955521e-08
0.7732761.8251854.931947e-08
0.7768851.8249184.908264e-08
0.7805111.8246534.884469e-08
0.7841541.824394.860564e-08
0.7878141.824134.836548e-08
0.7914911.8238724.812419e-08
0.7951851.8236164.788178e-08
0.7988961.8233634.763823e-08
0.8026251.8231114.739355e-08
0.8063711.8228624.714772e-08
0.8101341.8226154.690075e-08
0.8139151.8223714.665263e-08
0.8177141.8221284.640335e-08
0.821531.8218874.615290e-08
0.8253651.8216494.590129e-08
0.8292171.8214124.564850e-08
0.8330871.8211784.539453e-08
0.8369751.8209454.513938e-08
0.8408821.8207144.488303e-08
0.8448061.8204854.462549e-08
0.8487491.8202584.436675e-08
0.8527111.8200334.410680e-08
0.856691.819814.384563e-08
0.8606891.8195894.358325e-08
0.8647061.8193694.331964e-08
0.8687421.8191514.305480e-08
0.8727961.8189354.278873e-08
0.876871.8187214.252141e-08
0.8809621.8185084.225285e-08
0.8850741.8182974.198303e-08
0.8892051.8180874.171196e-08
0.8933551.8178794.143962e-08
0.8975241.8176734.116600e-08
0.9017131.8174684.089112e-08
0.9059221.8172654.061494e-08
0.910151.8170634.033748e-08
0.9143981.8168634.005873e-08
0.9186661.8166653.977867e-08
0.9229531.8164673.949730e-08
0.9272611.8162723.921463e-08
0.9315891.8160773.893063e-08
0.9359371.8158843.864531e-08
0.9403051.8156923.835865e-08
0.9446941.8155023.807066e-08
0.9491031.8153133.778132e-08
0.9535321.8151263.749064e-08
0.9579831.8149393.719859e-08
0.9624541.8147543.690519e-08
0.9669461.814573.661041e-08
0.9714591.8143883.631426e-08
0.9759931.8142063.601673e-08
0.9805481.8140263.571780e-08
0.9851251.8138473.541749e-08
0.9897221.8136693.511577e-08
0.9943421.8134923.481264e-08
0.9989831.8133173.450810e-08
1.003651.8131423.420213e-08
1.008331.8129693.389474e-08
1.013041.8127963.358592e-08
1.017761.8126253.327565e-08
1.022511.8124553.296393e-08
1.027291.8122863.265076e-08
1.032081.8121173.233613e-08
1.03691.811953.202003e-08
1.041741.8117843.170245e-08
1.04661.8116183.138340e-08
1.051481.8114543.106285e-08
1.056391.811293.074081e-08
1.061.8111713.050400e-08
1.061321.8111273.055587e-08
1.066281.8109653.075024e-08
1.071251.8108043.094553e-08
1.076251.8106443.114172e-08
1.081271.8104853.133883e-08
1.086321.8103263.153686e-08
1.091391.8101693.173581e-08
1.096491.8100123.193570e-08
1.10161.8098563.213651e-08
1.106741.80973.233827e-08
1.111911.8095463.254096e-08
1.11711.8093923.274460e-08
1.122311.8092383.294919e-08
1.127551.8090863.315474e-08
1.132811.8089343.336124e-08
1.13811.8087833.356871e-08
1.143411.8086323.377715e-08
1.148751.8084823.398656e-08
1.154111.8083333.419695e-08
1.15951.8081843.440832e-08
1.164911.8080363.462067e-08
1.170351.8078883.483402e-08
1.175811.8077413.504836e-08
1.18131.8075943.526370e-08
1.186811.8074483.548005e-08
1.192351.8073033.569741e-08
1.197911.8071583.591578e-08
1.20351.8070133.613517e-08
1.209121.8068693.635559e-08
1.214761.8067253.657703e-08
1.220431.8065823.679951e-08
1.226131.8064393.702303e-08
1.231851.8062973.724759e-08
1.23761.8061553.747319e-08
1.243381.8060133.769985e-08
1.249181.8058723.792757e-08
1.255011.8057313.815635e-08
1.260871.8055913.838620e-08
1.266751.8054513.861712e-08
1.272671.8053113.884912e-08
1.278611.8051713.908221e-08
1.284571.8050323.931638e-08
1.290571.8048933.955164e-08
1.296591.8047543.978800e-08
1.302641.8046164.002546e-08
1.308721.8044774.026404e-08
1.314831.8043394.050372e-08
1.320971.8042024.074453e-08
1.327131.8040644.098646e-08
1.333331.8039264.122951e-08
1.339551.8037894.147371e-08
1.34581.8036524.171904e-08
1.352081.8035154.196551e-08
1.358391.8033784.221314e-08
1.364731.8032414.246192e-08
1.37111.8031054.271187e-08
1.37751.8029684.296298e-08
1.383931.8028324.321526e-08
1.390391.8026954.346872e-08
1.396881.8025594.372336e-08
1.40341.8024234.397920e-08
1.409951.8022864.423622e-08
1.416531.802154.449445e-08
1.423141.8020144.475388e-08
1.429781.8018784.501452e-08
1.436461.8017414.527638e-08
1.443161.8016054.553946e-08
1.44991.8014684.580376e-08
1.456671.8013324.606930e-08
1.463461.8011954.633608e-08
1.470291.8010594.660411e-08
1.477161.8009224.687339e-08
1.484051.8007854.714392e-08
1.490981.8006484.741572e-08
1.497941.8005114.768878e-08
1.504931.8003744.796312e-08
1.511951.8002364.823874e-08
1.519011.8000994.851565e-08
1.52611.7999614.879384e-08
1.531.7998854.894700e-08
1.533221.7998235.046194e-08
1.540381.7996845.382901e-08
1.547561.7995465.721179e-08
1.554791.7994076.061037e-08
1.562041.7992686.402480e-08
1.569331.7991296.745517e-08
1.576661.7989897.090155e-08
1.584021.7988497.436402e-08
1.591411.7987097.784265e-08
1.598841.7985698.133751e-08
1.60631.7984288.484868e-08
1.61381.7982878.837624e-08
1.621331.7981459.192027e-08
1.62891.7980039.548083e-08
1.63651.7978619.905801e-08
1.644141.7977181.026519e-07
1.651811.7975751.062625e-07
1.659521.7974311.098901e-07
1.667271.7972871.135345e-07
1.675051.7971431.171959e-07
1.682861.7969981.208745e-07
1.690721.7968521.245702e-07
1.698611.7967061.282831e-07
1.706541.796561.320134e-07
1.71451.7964131.357611e-07
1.72251.7962651.395263e-07
1.730541.7961171.433090e-07
1.738621.7959681.471094e-07
1.746741.7958191.509276e-07
1.754891.7956691.547635e-07
1.763081.7955181.586174e-07
1.771311.7953671.624893e-07
1.779571.7952151.663792e-07
1.787881.7950631.702873e-07
1.796221.794911.742136e-07
1.804611.7947561.781583e-07
1.813031.7946011.821213e-07
1.821491.7944461.861029e-07
1.829991.794291.901030e-07
1.838531.7941331.941218e-07
1.847121.7939761.981594e-07
1.855741.7938172.022158e-07
1.86441.7936582.062911e-07
1.87311.7934982.103855e-07
1.881841.7933382.144990e-07
1.890621.7931762.186316e-07
1.899451.7930142.227836e-07
1.908311.792852.269549e-07
1.917221.7926862.311457e-07
1.926171.7925212.353561e-07
1.935161.7923552.395861e-07
1.944191.7921882.438359e-07
1.953261.792022.481055e-07
1.962381.7918512.523950e-07
1.971.791712.559800e-07
1.971541.7916812.624366e-07
1.980741.791513.010193e-07
1.989991.7913383.397821e-07
1.999271.7911653.787258e-07
2.00861.7909914.178512e-07
2.017981.7908164.571593e-07
2.02741.790644.966508e-07
2.036861.7904625.363267e-07
2.046371.7902845.761877e-07
2.055921.7901046.162347e-07
2.065511.7899246.564687e-07
2.075151.7897426.968904e-07
2.084841.7895597.375009e-07
2.094571.7893747.783008e-07
2.104351.7891898.192912e-07
2.114171.7890028.604729e-07
2.124031.7888149.018467e-07
2.133951.7886249.434137e-07
2.143911.7884339.851747e-07
2.153911.7882411.027131e-06
2.163971.7880481.069282e-06
2.174071.7878531.111631e-06
2.184211.7876571.154177e-06
2.194411.7874591.196922e-06
2.204651.787261.239866e-06
2.214941.787061.283010e-06
2.225281.7868581.326356e-06
2.235661.7866541.369905e-06
2.24611.7864491.413656e-06
2.256581.7862431.457612e-06
2.267111.7860351.501773e-06
2.277691.7858251.546140e-06
2.288321.7856141.590714e-06
2.2991.7854011.635496e-06
2.309731.7851861.680487e-06
2.320511.784971.725688e-06
2.3251.784881.744500e-06
2.331341.7847521.772047e-06
2.342221.7845321.819295e-06
2.353161.7843111.866764e-06
2.364141.7840881.914454e-06
2.375171.7838631.962367e-06
2.386261.7836362.010504e-06
2.39741.7834082.058865e-06
2.408591.7831772.107452e-06
2.419831.7829452.156265e-06
2.431121.7827112.205307e-06
2.442471.7824752.254577e-06
2.453871.7822372.304078e-06
2.465321.7819972.353809e-06
2.476831.7817552.403772e-06
2.488391.7815112.453969e-06
2.51.7812652.504400e-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
—