Optical constants

Refractive index of SF57 (SCHOTT)

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
1.84666
Extinction coefficient k
1.12565e-08
Permittivity ε1
3.41014
Permittivity ε2
4.15739e-08
Absorption coefficient α
0.00240732 cm⁻¹
Penetration depth δ = λ/(2πk)
8.30801e+09 nm
Abbe number Vd
23.826
Chromatic dispersion dn/dλ
-0.177593 µm⁻¹
Group index ng
1.95101
Group velocity dispersion
370.888 fs²/mm
Dispersion parameter D
-2023.39 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

# SF57 (SCHOTT): SF57
schott_sf57 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "SF57", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_sf57.range_nm)  # (370, 2500) nm
eps = schott_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=1.81651371λ2λ2−0.0143704198+0.428893641λ2λ2−0.0592801172+1.07186278λ2λ2−121.419942

Valid from 0.37 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.81651371
C30.0143704198
C40.428893641
C50.0592801172
C61.07186278
C7121.419942

Comments and conditions

lead containing glass type. suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.26e-06 1.88e-08 -5.14e-11 1.96e-06 1.79e-09 0.276
nd
1.84666
Vd
23.83
glass code
847238.551
glass status
standard
density
value: 5510
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
0.0123
resistance
acid: 52.3; stain: 5.0; alkali: 2.3; climatic: 2.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.62e-06 K⁻¹ at 633 nm, dn/dT = 5.29e-06 K⁻¹ at 1310 nm, dn/dT = 5.05e-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
SF57 (SCHOTT), SF57: n and k versus wavelength
λ (µm)nk
0.371.9454555.423700e-06
0.3717761.9434644.808376e-06
0.373561.9415114.190098e-06
0.3753531.9395953.568853e-06
0.3771551.9377142.944626e-06
0.3789651.9358692.317402e-06
0.381.9348341.958900e-06
0.3807841.9340581.883012e-06
0.3826121.932281.706159e-06
0.3844481.9305331.528458e-06
0.3862941.9288191.349903e-06
0.3881481.9271351.170491e-06
0.391.925499.912700e-07
0.3900111.925489.907674e-07
0.3918831.9238559.042409e-07
0.3937641.9222578.172990e-07
0.3956541.9206877.299398e-07
0.3975531.9191446.421613e-07
0.3994611.9176275.539614e-07
0.41.9172055.290500e-07
0.4013781.9161364.950480e-07
0.4033051.9146694.475241e-07
0.4051.9134054.057100e-07
0.4052411.9132274.024352e-07
0.4071861.9118083.759730e-07
0.409141.9104133.493839e-07
0.4111041.909043.226671e-07
0.4130771.9076892.958221e-07
0.415061.906362.688482e-07
0.4170521.9050522.417449e-07
0.4190541.9037652.145114e-07
0.421.9031652.016400e-07
0.4210651.9024981.949208e-07
0.4230861.901251.821731e-07
0.4251171.9000221.693642e-07
0.4271581.8988121.564939e-07
0.4292081.8976211.435618e-07
0.4312681.8964481.305676e-07
0.4333381.8952931.175111e-07
0.4354181.8941551.043918e-07
0.4361.8938411.007200e-07
0.4375081.8930349.738409e-08
0.4396081.891939.273803e-08
0.4417181.8908428.806967e-08
0.4438381.889778.337890e-08
0.4459681.8887137.866561e-08
0.4481091.8876727.392971e-08
0.450261.8866466.917107e-08
0.4524211.8856346.438959e-08
0.4545921.8846375.958516e-08
0.4567741.8836545.475767e-08
0.4589671.8826854.990701e-08
0.461.8822354.762100e-08
0.461171.881734.688461e-08
0.4633831.8807874.549108e-08
0.4656071.8798584.409087e-08
0.4678421.8789424.268393e-08
0.4700881.8780394.127024e-08
0.4723441.8771473.984977e-08
0.4746111.8762683.842248e-08
0.4768891.8754013.698834e-08
0.4791781.8745463.554731e-08
0.4814781.8737023.409937e-08
0.4837891.8728693.264447e-08
0.4861111.8720483.118260e-08
0.4884451.8712372.971370e-08
0.4907891.8704372.823776e-08
0.4931451.8696482.675473e-08
0.4955121.8688682.526459e-08
0.497891.86812.376729e-08
0.51.8674292.243900e-08
0.500281.8673412.236611e-08
0.5026811.8665912.174074e-08
0.5050941.8658522.111237e-08
0.5075181.8651222.048099e-08
0.5099541.8644011.984657e-08
0.5124021.863691.920911e-08
0.5148611.8629871.856858e-08
0.5173331.8622941.792499e-08
0.5198161.8616091.727830e-08
0.5223111.8609331.662851e-08
0.5248181.8602651.597561e-08
0.5273371.8596051.531956e-08
0.5298681.8589541.466037e-08
0.5324111.8583111.399802e-08
0.5349671.8576761.333248e-08
0.5375341.8570481.266376e-08
0.5401141.8564281.199182e-08
0.5427071.8558161.131666e-08
0.5453121.8552111.063825e-08
0.5461.8550531.045900e-08
0.5479291.8546131.049599e-08
0.5505591.8540231.054643e-08
0.5532021.853441.059710e-08
0.5558571.8528631.064802e-08
0.5585251.8522941.069918e-08
0.5612061.8517311.075059e-08
0.5638991.8511751.080225e-08
0.5666061.8506261.085415e-08
0.5693261.8500831.090630e-08
0.5720581.8495461.095871e-08
0.5748041.8490161.101136e-08
0.5775631.8484921.106427e-08
0.581.8480361.111100e-08
0.5803351.8479741.111742e-08
0.5831211.8474621.117076e-08
0.585921.8469561.122436e-08
0.5887321.8464561.127822e-08
0.5915581.8459611.133233e-08
0.5943971.8454721.138670e-08
0.597251.8449891.144134e-08
0.6001171.8445111.149624e-08
0.6029971.8440391.155140e-08
0.6058911.8435721.160682e-08
0.60881.843111.166251e-08
0.6117221.8426541.171847e-08
0.6146581.8422021.177470e-08
0.6176081.8417561.183120e-08
0.621.8413991.187700e-08
0.6205731.8413141.188796e-08
0.6235511.8408781.194500e-08
0.6265441.8404461.200232e-08
0.6295511.8400191.205991e-08
0.6325731.8395971.211777e-08
0.6356091.839181.217592e-08
0.638661.8387671.223434e-08
0.6417261.8383581.229304e-08
0.6448061.8379541.235203e-08
0.6479011.8375551.241130e-08
0.651011.8371591.247085e-08
0.6541351.8367681.253069e-08
0.6572751.8363811.259082e-08
0.661.836051.264300e-08
0.660431.8359991.260312e-08
0.66361.835621.230891e-08
0.6667851.8352451.201328e-08
0.6699851.8348751.171624e-08
0.6732011.8345081.141778e-08
0.6764321.8341461.111788e-08
0.6796791.8337871.081654e-08
0.6829411.8334311.051375e-08
0.6862191.833081.020951e-08
0.6895131.8327329.903816e-09
0.6928231.8323889.596650e-09
0.6961481.8320489.288010e-09
0.6994891.831718.977888e-09
0.71.8316598.930500e-09
0.7028471.8313778.940041e-09
0.706221.8310478.951347e-09
0.709611.830728.962707e-09
0.7130161.8303978.974122e-09
0.7164381.8300778.985592e-09
0.7198771.829768.997116e-09
0.7233321.8294469.008696e-09
0.7268041.8291369.020332e-09
0.7302931.8288289.032023e-09
0.7337981.8285249.043771e-09
0.737321.8282239.055575e-09
0.7408591.8279259.067435e-09
0.7444151.827639.079353e-09
0.7479881.8273379.091327e-09
0.7515781.8270489.103359e-09
0.7551861.8267619.115449e-09
0.7588111.8264789.127597e-09
0.7624531.8261979.139804e-09
0.7661121.8259189.152068e-09
0.769791.8256439.164392e-09
0.7734841.825379.176775e-09
0.7771971.82519.189217e-09
0.7809271.8248329.201719e-09
0.7846761.8245679.214281e-09
0.7884421.8243059.226904e-09
0.7922261.8240459.239587e-09
0.7960291.8237879.252330e-09
0.799851.8235329.265135e-09
0.8036891.823289.278002e-09
0.8075461.8230299.290930e-09
0.8114221.8227819.303920e-09
0.8153171.8225369.316973e-09
0.8192311.8222929.330088e-09
0.8231631.8220519.343266e-09
0.8271141.8218129.356507e-09
0.8310841.8215769.369812e-09
0.8350731.8213419.383181e-09
0.8390811.8211099.396614e-09
0.8431081.8208789.410112e-09
0.8471551.820659.423674e-09
0.8512211.8204249.437301e-09
0.8553071.82029.450994e-09
0.8594121.8199789.464753e-09
0.8635371.8197589.478577e-09
0.8676821.8195399.492468e-09
0.8718471.8193239.506426e-09
0.8760321.8191099.520450e-09
0.8802361.8188969.534542e-09
0.8844611.8186869.548702e-09
0.8887071.8184779.562929e-09
0.8929721.818279.577225e-09
0.8972581.8180649.591589e-09
0.9015651.8178619.606023e-09
0.9058921.8176599.620525e-09
0.910241.8174599.635097e-09
0.9146091.817269.649739e-09
0.9189991.8170649.664452e-09
0.923411.8168689.679235e-09
0.9278431.8166759.694089e-09
0.9322961.8164839.709014e-09
0.9367711.8162929.724011e-09
0.9412671.8161049.739080e-09
0.9457851.8159169.754221e-09
0.9503251.815739.769435e-09
0.9548861.8155469.784722e-09
0.9594691.8153639.800083e-09
0.9640751.8151829.815517e-09
0.9687021.8150029.831025e-09
0.9733521.8148239.846607e-09
0.9780231.8146469.862265e-09
0.9827181.814479.877997e-09
0.9874351.8142959.893805e-09
0.9921741.8141229.909689e-09
0.9969361.813959.925649e-09
1.001721.813789.941686e-09
1.006531.813619.957800e-09
1.011361.8134429.973991e-09
1.016221.8132759.990260e-09
1.021091.8131091.000661e-08
1.025991.8129451.002303e-08
1.030921.8127811.003954e-08
1.035871.8126191.005612e-08
1.040841.8124581.007278e-08
1.045831.8122981.008953e-08
1.050851.8121391.010635e-08
1.05591.8119821.012325e-08
1.061.8118551.013700e-08
1.060971.8118251.020667e-08
1.066061.8116691.057390e-08
1.071181.8115151.094289e-08
1.076321.8113611.131366e-08
1.081481.8112091.168620e-08
1.086671.8110571.206053e-08
1.091891.8109061.243666e-08
1.097131.8107571.281459e-08
1.10241.8106081.319434e-08
1.107691.810461.357591e-08
1.1131.8103131.395931e-08
1.118351.8101671.434455e-08
1.123711.8100221.473164e-08
1.129111.8098781.512059e-08
1.134531.8097341.551141e-08
1.139971.8095921.590410e-08
1.145451.809451.629868e-08
1.150941.8093091.669515e-08
1.156471.8091691.709352e-08
1.162021.8090291.749380e-08
1.16761.8088911.789601e-08
1.17321.8087531.830015e-08
1.178831.8086161.870622e-08
1.184491.8084791.911425e-08
1.190171.8083431.952424e-08
1.195891.8082081.993619e-08
1.201631.8080742.035012e-08
1.207391.807942.076603e-08
1.213191.8078072.118395e-08
1.219011.8076742.160386e-08
1.224861.8075422.202580e-08
1.230741.8074112.244976e-08
1.236651.807282.287575e-08
1.242591.807152.330379e-08
1.248551.807022.373388e-08
1.254541.8068912.416604e-08
1.260561.8067632.460027e-08
1.266621.8066352.503659e-08
1.272691.8065072.547500e-08
1.27881.806382.591552e-08
1.284941.8062542.635814e-08
1.291111.8061282.680290e-08
1.297311.8060022.724979e-08
1.303531.8058772.769882e-08
1.309791.8057522.815001e-08
1.316081.8056282.860336e-08
1.322391.8055042.905889e-08
1.328741.8053812.951661e-08
1.335121.8052572.997652e-08
1.341531.8051353.043865e-08
1.347971.8050123.090298e-08
1.354441.804893.136955e-08
1.360941.8047683.183836e-08
1.367471.8046473.230942e-08
1.374031.8045263.278274e-08
1.380631.8044053.325833e-08
1.387251.8042843.373620e-08
1.393911.8041643.421637e-08
1.40061.8040443.469884e-08
1.407331.8039243.518363e-08
1.414081.8038053.567074e-08
1.420871.8036853.616019e-08
1.427691.8035663.665199e-08
1.434541.8034473.714616e-08
1.441431.8033293.764269e-08
1.448341.803213.814161e-08
1.45531.8030923.864292e-08
1.462281.8029733.914664e-08
1.46931.8028553.965278e-08
1.476351.8027374.016134e-08
1.483441.8026194.067235e-08
1.490561.8025014.118581e-08
1.497711.8023844.170173e-08
1.50491.8022664.222013e-08
1.512131.8021484.274102e-08
1.519381.8020314.326441e-08
1.526681.8019134.379031e-08
1.531.801864.403000e-08
1.5341.8017964.777037e-08
1.541371.8016795.464868e-08
1.548771.8015616.156001e-08
1.55621.8014446.850451e-08
1.563671.8013267.548234e-08
1.571171.8012098.249367e-08
1.578711.8010918.953865e-08
1.586291.8009739.661744e-08
1.593911.8008561.037302e-07
1.601561.8007381.108771e-07
1.609241.800621.180583e-07
1.616971.8005021.252740e-07
1.624731.8003841.325243e-07
1.632531.8002661.398095e-07
1.640361.8001471.471295e-07
1.648241.8000291.544848e-07
1.656151.799911.618753e-07
1.66411.7997911.693013e-07
1.672081.7996721.767629e-07
1.680111.7995531.842604e-07
1.688171.7994331.917938e-07
1.696281.7993141.993634e-07
1.704421.7991942.069693e-07
1.71261.7990742.146118e-07
1.720821.7989532.222909e-07
1.729081.7988322.300069e-07
1.737381.7987112.377599e-07
1.745721.798592.455501e-07
1.75411.7984682.533777e-07
1.762521.7983472.612429e-07
1.770981.7982242.691459e-07
1.779481.7981022.770867e-07
1.788021.7979792.850657e-07
1.79661.7978552.930830e-07
1.805221.7977313.011388e-07
1.813891.7976073.092332e-07
1.822591.7974833.173665e-07
1.831341.7973573.255388e-07
1.840131.7972323.337504e-07
1.848971.7971063.420013e-07
1.857841.796983.502919e-07
1.866761.7968533.586223e-07
1.875721.7967253.669926e-07
1.884721.7965973.754031e-07
1.893771.7964693.838540e-07
1.902861.796343.923455e-07
1.911991.7962114.008777e-07
1.921171.796084.094508e-07
1.930391.795954.180652e-07
1.939651.7958194.267208e-07
1.948961.7956874.354180e-07
1.958321.7955544.441570e-07
1.967721.7954214.529379e-07
1.971.7953894.550700e-07
1.977161.7952874.810849e-07
1.986651.7951535.155545e-07
1.996191.7950185.501895e-07
2.005771.7948825.849908e-07
2.01541.7947456.199591e-07
2.025071.7946086.550952e-07
2.034791.794476.904000e-07
2.044561.7943327.258743e-07
2.054371.7941927.615188e-07
2.064231.7940527.973344e-07
2.074141.7939118.333219e-07
2.084091.7937698.694821e-07
2.09411.7936269.058159e-07
2.104151.7934839.423241e-07
2.114251.7933389.790075e-07
2.12441.7931931.015867e-06
2.134591.7930471.052903e-06
2.144841.79291.090118e-06
2.155131.7927511.127510e-06
2.165481.7926031.165083e-06
2.175871.7924531.202835e-06
2.186321.7923021.240769e-06
2.196811.792151.278885e-06
2.207351.7919971.317184e-06
2.217951.7918431.355667e-06
2.228591.7916881.394334e-06
2.239291.7915321.433187e-06
2.250041.7913751.472227e-06
2.260841.7912161.511453e-06
2.271691.7910571.550869e-06
2.282591.7908971.590473e-06
2.293551.7907351.630267e-06
2.304561.7905721.670253e-06
2.315621.7904081.710430e-06
2.3251.7902691.744500e-06
2.326731.7902431.749900e-06
2.33791.7900761.784667e-06
2.349121.7899091.819601e-06
2.36041.789741.854703e-06
2.371731.7895691.889973e-06
2.383111.7893981.925413e-06
2.394551.7892251.961022e-06
2.406041.7890511.996803e-06
2.417591.7888752.032755e-06
2.42921.7886982.068880e-06
2.440861.788522.105179e-06
2.452571.788342.141651e-06
2.464341.7881582.178299e-06
2.476171.7879762.215122e-06
2.488061.7877912.252122e-06
2.51.7876052.289300e-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
—