Optical constants

Refractive index of K-SFLD1 (SUMITA)

K-SFLD1: n,k 0.4–1.55 µm

Data
formula 3 + tabulated k
Range
0.4–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–1.55 µm
Refractive index n
1.71736
Extinction coefficient k
2.20158e-08
Permittivity ε1
2.94931
Permittivity ε2
7.56179e-08
Absorption coefficient α
0.00470828 cm⁻¹
Penetration depth δ = λ/(2πk)
4.24784e+09 nm
Abbe number Vd
29.503
Chromatic dispersion dn/dλ
-0.122346 µm⁻¹
Group index ng
1.78925
Group velocity dispersion
245.685 fs²/mm
Dispersion parameter D
-1340.34 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

# K-SFLD1 (SUMITA): K-SFLD1
sumita_k_sfld1 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SFLD1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_sfld1.range_nm)  # (400, 1550) nm
eps = sumita_k_sfld1.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

Polynomial (formula 3), λ in µm
n2=2.8465679−0.01179579⁢λ2.0+0.032766631⁢λ−2.0+0.0014514223⁢λ−4.0−4.8225155×10-5⁢λ−6.0+1.2981324×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C12.8465679
C2-0.01179579
C32.0
C40.032766631
C5-2.0
C60.0014514223
C7-4.0
C8-4.8225155e-05
C9-6.0
C101.2981324e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2e-06 1.26e-08 -4.49e-10 9.35e-07 1.09e-09 0.27
nd
1.71736
Vd
29.5
glass code
717295
density
value: 3030
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.7e-06, temperature range: 293 573
dPgF
0.0075
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.81e-07 K⁻¹ at 633 nm, dn/dT = -7.83e-07 K⁻¹ at 1310 nm, dn/dT = -8.70e-07 K⁻¹ at 1550 nm

References

Cite

SUMITA Zemax catalog 2017-02-02 (obtained from http://www.sumita-opt.co.jp); See also SUMITA optical glass data book; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 412 wavelengths, the same grid as the API and the library
K-SFLD1 (SUMITA), K-SFLD1: n and k versus wavelength
λ (µm)nk
0.41.764715.398600e-07
0.401361.7640145.201289e-07
0.4027251.7633265.003307e-07
0.4040951.7626454.804652e-07
0.4054691.7619734.605322e-07
0.4068481.7613084.405313e-07
0.4082311.760654.204625e-07
0.4096191.764.003254e-07
0.4110121.7593573.801198e-07
0.412411.7587213.598455e-07
0.4138131.7580923.395023e-07
0.415221.757473.190898e-07
0.4166321.7568542.986080e-07
0.4180491.7562462.780565e-07
0.419471.7556442.574351e-07
0.421.7554212.497500e-07
0.4208971.7550482.451246e-07
0.4223281.7544592.377412e-07
0.4237641.7538762.303327e-07
0.4252051.7532992.228990e-07
0.4266511.7527282.154400e-07
0.4281021.7521642.079556e-07
0.4295581.7516052.004458e-07
0.4310191.7510521.929105e-07
0.4324841.7505051.853495e-07
0.4339551.7499631.777628e-07
0.4354311.7494271.701503e-07
0.4369121.7488971.625120e-07
0.4383971.7483721.548476e-07
0.4398881.7478521.471572e-07
0.441.7478141.465800e-07
0.4413841.7473381.438916e-07
0.4428851.7468291.409759e-07
0.4443911.7463241.380504e-07
0.4459021.7458251.351149e-07
0.4474191.7453311.321694e-07
0.448941.7448421.292138e-07
0.4504671.7443571.262483e-07
0.4519991.7438781.232726e-07
0.4535361.7434031.202869e-07
0.4550781.7429331.172909e-07
0.4566261.7424671.142848e-07
0.4581781.7420061.112685e-07
0.4597361.7415491.082419e-07
0.461.7414721.077300e-07
0.46131.7410961.054905e-07
0.4628691.7406481.027879e-07
0.4644431.7402041.000760e-07
0.4660221.7397659.735499e-08
0.4676071.7393299.462468e-08
0.4691971.7388989.188508e-08
0.4707921.7384718.913617e-08
0.4723931.7380488.637791e-08
0.4741.7376288.361027e-08
0.4756121.7372138.083322e-08
0.4772291.7368017.804673e-08
0.4788521.7363947.525076e-08
0.481.7361087.327300e-08
0.480481.735997.295740e-08
0.4821141.7355897.188407e-08
0.4837541.7351937.080709e-08
0.4853991.73486.972645e-08
0.487051.734416.864213e-08
0.4887061.7340246.755413e-08
0.4903681.7336426.646242e-08
0.4920351.7332636.536701e-08
0.4937091.7328876.426787e-08
0.4953871.7325156.316499e-08
0.4970721.7321466.205836e-08
0.4987621.731786.094796e-08
0.51.7315156.013500e-08
0.5004591.7314185.986548e-08
0.502161.7310585.886512e-08
0.5038681.7307025.786136e-08
0.5055821.7303495.685418e-08
0.5073011.7299995.584359e-08
0.5090261.7296535.482955e-08
0.5107571.7293095.381207e-08
0.5124941.7289685.279112e-08
0.5142371.728635.176670e-08
0.5159851.7282955.073881e-08
0.517741.7279634.970741e-08
0.5195011.7276334.867251e-08
0.5212671.7273074.763409e-08
0.523041.7269834.659213e-08
0.5248191.7266624.554664e-08
0.5266031.7263444.449758e-08
0.5283941.7260284.344496e-08
0.5301911.7257154.238877e-08
0.5319941.7254054.132898e-08
0.5338031.7250974.026558e-08
0.5356181.7247923.919857e-08
0.537441.7244893.812793e-08
0.5392671.7241893.705365e-08
0.5411011.7238913.597572e-08
0.5429411.7235963.489412e-08
0.5447881.7233033.380884e-08
0.546641.7230133.271987e-08
0.5484991.7227253.162720e-08
0.551.7224953.074500e-08
0.5503641.7224393.066041e-08
0.5522361.7221563.022590e-08
0.5541141.7218752.978992e-08
0.5559981.7215962.935245e-08
0.5578891.721322.891350e-08
0.5597861.7210452.847305e-08
0.561691.7207732.803110e-08
0.56361.7205032.758766e-08
0.5655161.7202352.714270e-08
0.567441.719972.669623e-08
0.5693691.7197062.624825e-08
0.5713051.7194452.579874e-08
0.5732481.7191852.534770e-08
0.5751981.7189282.489513e-08
0.5771541.7186732.444101e-08
0.5791161.7184192.398536e-08
0.5810861.7181682.352815e-08
0.5830621.7179192.306939e-08
0.5850441.7176712.260907e-08
0.5870341.7174262.214719e-08
0.589031.7171822.168373e-08
0.5910331.716942.121870e-08
0.5930431.71672.075208e-08
0.595061.7164622.028388e-08
0.5970841.7162261.981409e-08
0.5991141.7159911.934270e-08
0.61.715891.913700e-08
0.6011511.7157591.929337e-08
0.6031961.7155281.957103e-08
0.6052471.7152991.984963e-08
0.6073051.7150712.012917e-08
0.609371.7148462.040967e-08
0.6114431.7146222.069112e-08
0.6135221.7143992.097353e-08
0.6156081.7141792.125690e-08
0.6177021.713962.154123e-08
0.6198021.7137422.182653e-08
0.621911.7135262.211280e-08
0.6240251.7133122.240004e-08
0.6261471.71312.268826e-08
0.6282761.7128892.297746e-08
0.6304131.7126792.326765e-08
0.6325561.7124712.355882e-08
0.6347081.7122652.385098e-08
0.6368661.712062.414413e-08
0.6390321.7118562.443828e-08
0.6412051.7116552.473343e-08
0.6433851.7114542.502959e-08
0.6455731.7112552.532675e-08
0.6477691.7110572.562492e-08
0.6499711.7108612.592411e-08
0.651.7108592.592800e-08
0.6521821.7106662.577083e-08
0.6543991.7104732.561106e-08
0.6566251.7102812.545075e-08
0.6588581.710092.528989e-08
0.6610981.7099012.512848e-08
0.6633461.7097132.496652e-08
0.6656021.7095262.480402e-08
0.6678661.7093412.464096e-08
0.6701371.7091572.447734e-08
0.6724161.7089742.431317e-08
0.6747021.7087932.414844e-08
0.6769971.7086122.398315e-08
0.6792991.7084332.381730e-08
0.6816091.7082562.365089e-08
0.6839271.7080792.348391e-08
0.6862531.7079042.331636e-08
0.6885861.707732.314824e-08
0.6909281.7075572.297955e-08
0.6932781.7073852.281028e-08
0.6956351.7072152.264044e-08
0.6980011.7070452.247003e-08
0.71.7069032.232600e-08
0.7003741.7068772.231402e-08
0.7027561.706712.223783e-08
0.7051461.7065442.216138e-08
0.7075441.7063792.208467e-08
0.709951.7062152.200770e-08
0.7123641.7060522.193047e-08
0.7147871.7058912.185297e-08
0.7172171.705732.177522e-08
0.7196561.7055712.169719e-08
0.7221041.7054122.161890e-08
0.7245591.7052552.154035e-08
0.7270231.7050982.146153e-08
0.7294961.7049432.138244e-08
0.7319761.7047882.130308e-08
0.7344651.7046352.122345e-08
0.7369631.7044832.114355e-08
0.7394691.7043312.106338e-08
0.7419841.7041812.098294e-08
0.7445071.7040312.090222e-08
0.7470391.7038832.082123e-08
0.7495791.7037352.073996e-08
0.7521281.7035882.065842e-08
0.7546861.7034432.057660e-08
0.7572521.7032982.049450e-08
0.7598281.7031542.041212e-08
0.7624111.7030112.032946e-08
0.7650041.7028692.024652e-08
0.7676061.7027272.016330e-08
0.7702161.7025872.007979e-08
0.7728351.7024471.999601e-08
0.7754631.7023091.991193e-08
0.77811.7021711.982757e-08
0.7807461.7020341.974293e-08
0.7834011.7018981.965799e-08
0.7860651.7017621.957277e-08
0.7887381.7016281.948726e-08
0.7914211.7014941.940145e-08
0.7941121.7013611.931536e-08
0.7968121.7012291.922897e-08
0.7995221.7010971.914229e-08
0.81.7010741.912700e-08
0.8022411.7009671.910769e-08
0.8049691.7008371.908419e-08
0.8077071.7007081.906061e-08
0.8104531.7005791.903694e-08
0.8132091.7004521.901320e-08
0.8159751.7003251.898937e-08
0.8187491.7001981.896547e-08
0.8215341.7000731.894148e-08
0.8243271.6999481.891741e-08
0.8271311.6998241.889326e-08
0.8299431.6997011.886903e-08
0.8327661.6995781.884471e-08
0.8355981.6994561.882031e-08
0.8384391.6993351.879583e-08
0.841291.6992141.877127e-08
0.8441511.6990941.874662e-08
0.8470221.6989751.872189e-08
0.8499021.6988561.869707e-08
0.8527931.6987381.867217e-08
0.8556931.698621.864719e-08
0.8586031.6985031.862212e-08
0.8615221.6983871.859696e-08
0.8644521.6982721.857172e-08
0.8673921.6981571.854639e-08
0.8703411.6980421.852098e-08
0.8733011.6979281.849548e-08
0.8762711.6978151.846990e-08
0.8792511.6977021.844422e-08
0.8822411.697591.841846e-08
0.8852411.6974791.839262e-08
0.8882511.6973681.836668e-08
0.8912721.6972581.834066e-08
0.8943031.6971481.831455e-08
0.8973441.6970381.828835e-08
0.9003951.696931.826205e-08
0.9034571.6968211.823568e-08
0.906531.6967141.820921e-08
0.9096121.6966061.818265e-08
0.9127061.69651.815600e-08
0.9158091.6963931.812926e-08
0.9189241.6962881.810243e-08
0.9220491.6961821.807550e-08
0.9251841.6960781.804849e-08
0.928331.6959731.802138e-08
0.9314871.695871.799419e-08
0.9346551.6957661.796690e-08
0.9378331.6956641.793951e-08
0.9410231.6955611.791204e-08
0.9442231.6954591.788447e-08
0.9474341.6953581.785680e-08
0.9506551.6952571.782905e-08
0.9538881.6951561.780119e-08
0.9571321.6950561.777325e-08
0.9603871.6949561.774521e-08
0.9636531.6948571.771707e-08
0.966931.6947581.768884e-08
0.9702181.6946591.766051e-08
0.9735171.6945611.763208e-08
0.9768281.6944631.760356e-08
0.980151.6943661.757494e-08
0.9834831.6942691.754623e-08
0.9868271.6941731.751741e-08
0.9901831.6940761.748850e-08
0.993551.6939811.745949e-08
0.9969291.6938851.743038e-08
1.000321.693791.740117e-08
1.003721.6936951.737187e-08
1.007131.6936011.734246e-08
1.010561.6935071.731295e-08
1.0141.6934131.728335e-08
1.017441.693321.725364e-08
1.02091.6932271.722383e-08
1.024381.6931341.719392e-08
1.027861.6930421.716391e-08
1.031351.692951.713379e-08
1.034861.6928581.710358e-08
1.038381.6927661.707326e-08
1.041911.6926751.704284e-08
1.045451.6925841.701231e-08
1.049011.6924941.698168e-08
1.052581.6924041.695095e-08
1.056161.6923141.692011e-08
1.059751.6922241.688917e-08
1.061.6922181.688700e-08
1.063351.6921341.694041e-08
1.066971.6920451.699802e-08
1.07061.6919561.705582e-08
1.074241.6918681.711383e-08
1.077891.6917791.717203e-08
1.081561.6916911.723043e-08
1.085231.6916031.728902e-08
1.088921.6915151.734782e-08
1.092631.6914281.740681e-08
1.096341.6913411.746601e-08
1.100071.6912541.752541e-08
1.103811.6911671.758501e-08
1.107571.6910811.764481e-08
1.111331.6909941.770482e-08
1.115111.6909081.776503e-08
1.11891.6908221.782544e-08
1.122711.6907361.788606e-08
1.126531.6906511.794689e-08
1.130361.6905661.800792e-08
1.13421.690481.806916e-08
1.138061.6903951.813061e-08
1.141931.6903111.819227e-08
1.145811.6902261.825413e-08
1.149711.6901421.831621e-08
1.153621.6900571.837850e-08
1.157541.6899731.844100e-08
1.161481.6898891.850371e-08
1.165431.6898061.856664e-08
1.169391.6897221.862978e-08
1.173371.6896381.869314e-08
1.177361.6895551.875671e-08
1.181361.6894721.882050e-08
1.185381.6893891.888450e-08
1.189411.6893061.894872e-08
1.193451.6892231.901316e-08
1.197511.689141.907782e-08
1.201581.6890571.914270e-08
1.205671.6889751.920780e-08
1.209771.6888921.927312e-08
1.213881.688811.933866e-08
1.218011.6887281.940443e-08
1.222151.6886461.947042e-08
1.226311.6885641.953663e-08
1.230481.6884821.960307e-08
1.234671.68841.966974e-08
1.238861.6883181.973663e-08
1.243081.6882371.980375e-08
1.24731.6881551.987109e-08
1.251551.6880731.993867e-08
1.25581.6879922.000648e-08
1.260071.687912.007451e-08
1.264361.6878292.014278e-08
1.268661.6877482.021128e-08
1.272971.6876662.028002e-08
1.27731.6875852.034898e-08
1.281641.6875042.041818e-08
1.2861.6874222.048762e-08
1.290381.6873412.055729e-08
1.294761.687262.062720e-08
1.299171.6871792.069735e-08
1.303581.6870982.076774e-08
1.308021.6870172.083836e-08
1.312471.6869362.090923e-08
1.316931.6868552.098034e-08
1.321411.6867742.105169e-08
1.32591.6866922.112328e-08
1.330411.6866112.119511e-08
1.334931.686532.126719e-08
1.339471.6864492.133951e-08
1.344031.6863682.141208e-08
1.34861.6862872.148490e-08
1.353181.6862062.155797e-08
1.357791.6861242.163128e-08
1.36241.6860432.170484e-08
1.367041.6859622.177865e-08
1.371691.685882.185272e-08
1.376351.6857992.192703e-08
1.381031.6857182.200160e-08
1.385731.6856362.207642e-08
1.390441.6855542.215150e-08
1.395171.6854732.222683e-08
1.399911.6853912.230242e-08
1.404671.6853092.237826e-08
1.409451.6852282.245436e-08
1.414241.6851462.253072e-08
1.419051.6850642.260735e-08
1.423881.6849812.268423e-08
1.428721.6848992.276137e-08
1.433581.6848172.283878e-08
1.438451.6847352.291644e-08
1.443341.6846522.299438e-08
1.448251.684572.307257e-08
1.453181.6844872.315104e-08
1.458121.6844042.322977e-08
1.463081.6843212.330877e-08
1.468051.6842382.338803e-08
1.473051.6841552.346757e-08
1.478051.6840722.354738e-08
1.483081.6839882.362745e-08
1.488121.6839042.370780e-08
1.493191.6838212.378843e-08
1.498261.6837372.386933e-08
1.51.6837082.389700e-08
1.503361.6836532.633311e-08
1.508471.6835693.004195e-08
1.51361.6834843.376340e-08
1.518751.68343.749750e-08
1.523911.6833154.124430e-08
1.529091.683234.500384e-08
1.534291.6831454.877617e-08
1.539511.683065.256133e-08
1.544751.6829755.635936e-08
1.551.6828896.017030e-08

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
—