Optical constants

Refractive index of SF11 (SCHOTT)

SF11: 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
1.78471
Extinction coefficient k
1.69097e-08
Permittivity ε1
3.1852
Permittivity ε2
6.03579e-08
Absorption coefficient α
0.00361629 cm⁻¹
Penetration depth δ = λ/(2πk)
5.53052e+09 nm
Abbe number Vd
25.757
Chromatic dispersion dn/dλ
-0.152409 µm⁻¹
Group index ng
1.87427
Group velocity dispersion
315.804 fs²/mm
Dispersion parameter D
-1722.88 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

# SF11 (SCHOTT): SF11
schott_sf11 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "SF11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_sf11.range_nm)  # (390, 2500) nm
eps = schott_sf11.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=1.73848403λ2λ2−0.0136068604+0.311168974λ2λ2−0.0615960463+1.17490871λ2λ2−121.922711

Valid from 0.39 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.73848403
C30.0136068604
C40.311168974
C50.0615960463
C61.17490871
C7121.922711

Comments and conditions

lead containing

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.12e-05 1.81e-08 -5.03e-11 1.46e-06 1.58e-09 0.282
nd
1.78472
Vd
25.76
glass code
785258.474
glass status
standard
density
value: 4740
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 6.8e-06, temperature range: 293 573
dPgF
0.0142
resistance
acid: 1.0; stain: 0.0; alkali: 1.2; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.58e-06 K⁻¹ at 633 nm, dn/dT = 7.12e-06 K⁻¹ at 1310 nm, dn/dT = 6.93e-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
SF11 (SCHOTT), SF11: n and k versus wavelength
λ (µm)nk
0.391.8522335.716900e-06
0.391821.8508755.049296e-06
0.3936491.849544.378575e-06
0.3954861.8482283.704725e-06
0.3973321.8469383.027729e-06
0.3991861.8456692.347573e-06
0.41.8451212.049200e-06
0.401051.8444221.910991e-06
0.4029211.8431951.664512e-06
0.4048021.8419881.416884e-06
0.4051.8418621.390800e-06
0.4066911.84081.287752e-06
0.4085891.8396321.172098e-06
0.4104961.8384821.055904e-06
0.4124121.8373519.391678e-07
0.4143371.8362378.218867e-07
0.4162711.8351417.040581e-07
0.4182141.8340615.856797e-07
0.421.8330884.768400e-07
0.4201661.8329994.740708e-07
0.4221271.8319524.412826e-07
0.4240971.8309224.083414e-07
0.4260761.8299073.752464e-07
0.4280651.8289073.419970e-07
0.4300631.8279223.085924e-07
0.432071.8269522.750319e-07
0.4340861.8259952.413147e-07
0.4361.8251052.093200e-07
0.4361121.8250532.087638e-07
0.4381481.8241251.986952e-07
0.4401931.823211.885795e-07
0.4422471.8223081.784166e-07
0.4443111.8214191.682063e-07
0.4463851.8205431.579484e-07
0.4484681.8196791.476426e-07
0.4505621.8188271.372886e-07
0.4526641.8179871.268864e-07
0.4547771.8171591.164356e-07
0.45691.8163421.059360e-07
0.4590321.8155369.538739e-08
0.461.8151759.060000e-08
0.4611751.8147418.907485e-08
0.4633271.8139578.628010e-08
0.4654891.8131848.347230e-08
0.4676621.8124218.065140e-08
0.4698451.8116697.781734e-08
0.4720381.8109267.497005e-08
0.4742411.8101937.210947e-08
0.4764541.809476.923553e-08
0.4786781.8087576.634819e-08
0.4809121.8080526.344737e-08
0.4831571.8073576.053301e-08
0.4854121.8066715.760505e-08
0.4876771.8059945.466342e-08
0.4899531.8053255.170806e-08
0.492241.8046654.873891e-08
0.4945371.8040144.575590e-08
0.4968451.8033714.275897e-08
0.4991641.8027353.974805e-08
0.51.8025093.866300e-08
0.5014941.8021083.803163e-08
0.5038351.8014893.704253e-08
0.5061861.8008773.604880e-08
0.5085491.8002733.505044e-08
0.5109221.7996763.404742e-08
0.5133071.7990873.303972e-08
0.5157031.7985053.202732e-08
0.5181091.797933.101019e-08
0.5205281.7973622.998831e-08
0.5229571.7968012.896167e-08
0.5253981.7962472.793023e-08
0.527851.7956992.689398e-08
0.5303141.7951582.585289e-08
0.5327891.7946232.480695e-08
0.5352751.7940952.375612e-08
0.5377741.7935732.270038e-08
0.5402831.7930572.163972e-08
0.5428051.7925482.057411e-08
0.5453391.7920441.950353e-08
0.5461.7919141.922400e-08
0.5478841.7915461.908366e-08
0.5504411.7910541.889316e-08
0.553011.7905671.870176e-08
0.5555911.7900861.850947e-08
0.5581841.7896111.831629e-08
0.5607891.7891411.812220e-08
0.5634071.7886771.792721e-08
0.5660361.7882181.773131e-08
0.5686781.7877641.753449e-08
0.5713321.7873151.733676e-08
0.5739991.7868711.713810e-08
0.5766781.7864331.693852e-08
0.5793691.7859991.673800e-08
0.581.7858981.669100e-08
0.5820731.785571.675066e-08
0.584791.7851461.682883e-08
0.5875191.7847261.690737e-08
0.5902611.7843121.698627e-08
0.5930161.7839011.706554e-08
0.5957841.7834951.714518e-08
0.5985651.7830941.722520e-08
0.6013581.7826971.730559e-08
0.6041651.7823051.738635e-08
0.6069851.7819161.746749e-08
0.6098181.7815321.754900e-08
0.6126641.7811521.763090e-08
0.6155231.7807761.771318e-08
0.6183961.7804041.779585e-08
0.621.7801991.784200e-08
0.6212821.7800371.787890e-08
0.6241821.7796731.796234e-08
0.6270951.7793121.804617e-08
0.6300221.7789561.813038e-08
0.6329631.7786041.821500e-08
0.6359171.7782551.830000e-08
0.6388851.7779091.838541e-08
0.6418671.7775681.847121e-08
0.6448621.777231.855741e-08
0.6478721.7768951.864402e-08
0.6508961.7765641.873103e-08
0.6539341.7762371.881844e-08
0.6569861.7759121.890626e-08
0.661.7755971.899300e-08
0.6600521.7755911.898865e-08
0.6631331.7752741.873134e-08
0.6662281.7749591.847283e-08
0.6693371.7746481.821312e-08
0.6724611.774341.795219e-08
0.67561.7740351.769004e-08
0.6787531.7737331.742667e-08
0.6819211.7734341.716207e-08
0.6851031.7731381.689624e-08
0.6883011.7728451.662916e-08
0.6915131.7725551.636084e-08
0.6947411.7722681.609126e-08
0.6979831.7719841.582043e-08
0.71.7718091.565200e-08
0.7012411.7717021.563299e-08
0.7045141.7714231.558285e-08
0.7078021.7711471.553248e-08
0.7111061.7708741.548187e-08
0.7144251.7706031.543102e-08
0.7177591.7703351.537994e-08
0.7211091.770071.532862e-08
0.7244741.7698071.527707e-08
0.7278561.7695461.522527e-08
0.7312531.7692881.517322e-08
0.7346661.7690331.512094e-08
0.7380951.7687791.506841e-08
0.741541.7685291.501564e-08
0.7451.768281.496262e-08
0.7484781.7680341.490935e-08
0.7519711.7677911.485583e-08
0.7554811.7675491.480207e-08
0.7590071.767311.474805e-08
0.7625491.7670731.469378e-08
0.7661081.7668381.463926e-08
0.7696841.7666051.458449e-08
0.7732761.7663741.452945e-08
0.7768851.7661461.447416e-08
0.7805111.765921.441862e-08
0.7841541.7656951.436281e-08
0.7878141.7654731.430674e-08
0.7914911.7652521.425042e-08
0.7951851.7650341.419382e-08
0.7988961.7648171.413697e-08
0.8026251.7646031.407985e-08
0.8063711.764391.402246e-08
0.8101341.7641791.396481e-08
0.8139151.763971.390688e-08
0.8177141.7637631.384869e-08
0.821531.7635571.379022e-08
0.8253651.7633541.373148e-08
0.8292171.7631521.367247e-08
0.8330871.7629521.361318e-08
0.8369751.7627531.355361e-08
0.8408821.7625561.349377e-08
0.8448061.7623611.343365e-08
0.8487491.7621671.337325e-08
0.8527111.7619751.331256e-08
0.856691.7617851.325159e-08
0.8606891.7615961.319034e-08
0.8647061.7614091.312880e-08
0.8687421.7612231.306697e-08
0.8727961.7610391.300486e-08
0.876871.7608561.294245e-08
0.8809621.7606751.287976e-08
0.8850741.7604951.281677e-08
0.8892051.7603161.275349e-08
0.8933551.7601391.268991e-08
0.8975241.7599641.262603e-08
0.9017131.7597891.256186e-08
0.9059221.7596161.249739e-08
0.910151.7594451.243262e-08
0.9143981.7592741.236754e-08
0.9186661.7591051.230216e-08
0.9229531.7589371.223648e-08
0.9272611.7587711.217049e-08
0.9315891.7586061.210419e-08
0.9359371.7584411.203758e-08
0.9403051.7582791.197066e-08
0.9446941.7581171.190343e-08
0.9491031.7579561.183588e-08
0.9535321.7577971.176802e-08
0.9579831.7576391.169985e-08
0.9624541.7574811.163135e-08
0.9669461.7573251.156254e-08
0.9714591.757171.149340e-08
0.9759931.7570161.142394e-08
0.9805481.7568641.135416e-08
0.9851251.7567121.128405e-08
0.9897221.7565611.121361e-08
0.9943421.7564111.114285e-08
0.9989831.7562621.107175e-08
1.003651.7561141.100033e-08
1.008331.7559671.092857e-08
1.013041.7558211.085647e-08
1.017761.7556761.078404e-08
1.022511.7555321.071127e-08
1.027291.7553891.063816e-08
1.032081.7552471.056471e-08
1.03691.7551051.049092e-08
1.041741.7549651.041678e-08
1.04661.7548251.034229e-08
1.051481.7546861.026746e-08
1.056391.7545481.019228e-08
1.061.7544471.013700e-08
1.061321.754411.035728e-08
1.066281.7542741.118275e-08
1.071251.7541381.201208e-08
1.076251.7540031.284528e-08
1.081271.7538681.368237e-08
1.086321.7537351.452337e-08
1.091391.7536021.536829e-08
1.096491.753471.621715e-08
1.10161.7533381.706998e-08
1.106741.7532071.792679e-08
1.111911.7530771.878759e-08
1.11711.7529471.965241e-08
1.122311.7528192.052127e-08
1.127551.752692.139419e-08
1.132811.7525632.227118e-08
1.13811.7524352.315226e-08
1.143411.7523092.403745e-08
1.148751.7521832.492678e-08
1.154111.7520582.582026e-08
1.15951.7519332.671790e-08
1.164911.7518092.761974e-08
1.170351.7516852.852578e-08
1.175811.7515622.943606e-08
1.18131.7514393.035058e-08
1.186811.7513173.126937e-08
1.192351.7511953.219245e-08
1.197911.7510733.311984e-08
1.20351.7509533.405155e-08
1.209121.7508323.498761e-08
1.214761.7507123.592805e-08
1.220431.7505923.687287e-08
1.226131.7504733.782210e-08
1.231851.7503543.877576e-08
1.23761.7502363.973388e-08
1.243381.7501184.069646e-08
1.249181.754.166354e-08
1.255011.7498834.263513e-08
1.260871.7497664.361125e-08
1.266751.7496494.459193e-08
1.272671.7495334.557719e-08
1.278611.7494174.656705e-08
1.284571.7493014.756153e-08
1.290571.7491854.856065e-08
1.296591.749074.956443e-08
1.302641.7489555.057289e-08
1.308721.748845.158607e-08
1.314831.7487265.260397e-08
1.320971.7486125.362662e-08
1.327131.7484985.465405e-08
1.333331.7483845.568627e-08
1.339551.748275.672330e-08
1.34581.7481565.776518e-08
1.352081.7480435.881192e-08
1.358391.747935.986355e-08
1.364731.7478176.092009e-08
1.37111.7477046.198155e-08
1.37751.7475916.304797e-08
1.383931.7474786.411937e-08
1.390391.7473666.519577e-08
1.396881.7472536.627719e-08
1.40341.7471416.736366e-08
1.409951.7470296.845520e-08
1.416531.7469166.955183e-08
1.423141.7468047.065358e-08
1.429781.7466927.176048e-08
1.436461.746587.287254e-08
1.443161.7464687.398979e-08
1.44991.7463567.511226e-08
1.456671.7462447.623996e-08
1.463461.7461317.737293e-08
1.470291.7460197.851118e-08
1.477161.7459077.965475e-08
1.484051.7457958.080366e-08
1.490981.7456838.195792e-08
1.497941.745578.311758e-08
1.504931.7454588.428265e-08
1.511951.7453458.545315e-08
1.519011.7452328.662912e-08
1.52611.745128.781057e-08
1.531.7450588.846100e-08
1.533221.7450079.114362e-08
1.540381.7448949.710594e-08
1.547561.7447811.030961e-07
1.554791.7446671.091142e-07
1.562041.7445541.151604e-07
1.569331.744441.212348e-07
1.576661.7443261.273376e-07
1.584021.7442121.334688e-07
1.591411.7440981.396287e-07
1.598841.7439831.458173e-07
1.60631.7438691.520348e-07
1.61381.7437541.582813e-07
1.621331.7436381.645570e-07
1.62891.7435231.708620e-07
1.63651.7434071.771964e-07
1.644141.7432911.835603e-07
1.651811.7431751.899540e-07
1.659521.7430581.963775e-07
1.667271.7429412.028309e-07
1.675051.7428242.093145e-07
1.682861.7427062.158284e-07
1.690721.7425882.223727e-07
1.698611.742472.289475e-07
1.706541.7423512.355530e-07
1.71451.7422322.421893e-07
1.72251.7421122.488566e-07
1.730541.7419922.555550e-07
1.738621.7418722.622846e-07
1.746741.7417512.690457e-07
1.754891.7416292.758384e-07
1.763081.7415082.826627e-07
1.771311.7413852.895189e-07
1.779571.7412632.964071e-07
1.787881.7411393.033274e-07
1.796221.7410163.102801e-07
1.804611.7408913.172652e-07
1.813031.7407673.242828e-07
1.821491.7406413.313333e-07
1.829991.7405153.384166e-07
1.838531.7403893.455330e-07
1.847121.7402623.526827e-07
1.855741.7401343.598657e-07
1.86441.7400063.670822e-07
1.87311.7398773.743324e-07
1.881841.7397473.816164e-07
1.890621.7396173.889344e-07
1.899451.7394863.962866e-07
1.908311.7393544.036731e-07
1.917221.7392224.110941e-07
1.926171.7390894.185497e-07
1.935161.7389554.260401e-07
1.944191.7388214.335655e-07
1.953261.7386864.411260e-07
1.962381.738554.487218e-07
1.971.7384364.550700e-07
1.971541.7384134.645456e-07
1.980741.7382765.211690e-07
1.989991.7381375.780567e-07
1.999271.7379986.352099e-07
2.00861.7378586.926298e-07
2.017981.7377187.503178e-07
2.02741.7375768.082749e-07
2.036861.7374338.665026e-07
2.046371.737299.250021e-07
2.055921.7371469.837745e-07
2.065511.7371.042821e-06
2.075151.7368541.102144e-06
2.084841.7367071.161743e-06
2.094571.7365591.221620e-06
2.104351.736411.281777e-06
2.114171.736261.342215e-06
2.124031.7361091.402935e-06
2.133951.7359571.463938e-06
2.143911.7358031.525225e-06
2.153911.7356491.586799e-06
2.163971.7354941.648661e-06
2.174071.7353381.710810e-06
2.184211.735181.773251e-06
2.194411.7350211.835982e-06
2.204651.7348621.899006e-06
2.214941.7347011.962325e-06
2.225281.7345392.025939e-06
2.235661.7343752.089849e-06
2.24611.7342112.154058e-06
2.256581.7340452.218567e-06
2.267111.7338782.283377e-06
2.277691.733712.348489e-06
2.288321.733542.413906e-06
2.2991.7333692.479627e-06
2.309731.7331972.545656e-06
2.320511.7330232.611992e-06
2.3251.7329512.639600e-06
2.331341.7328482.686505e-06
2.342221.7326722.766956e-06
2.353161.7324942.847782e-06
2.364141.7323152.928985e-06
2.375171.7321353.010568e-06
2.386261.7319523.092531e-06
2.39741.7317693.174877e-06
2.408591.7315843.257607e-06
2.419831.7313973.340723e-06
2.431121.7312093.424227e-06
2.442471.7310193.508121e-06
2.453871.7308283.592406e-06
2.465321.7306353.677085e-06
2.476831.7304413.762159e-06
2.488391.7302443.847630e-06
2.51.7300473.933500e-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
—