Optical constants

Refractive index of K-SFLD8 (SUMITA)

K-SFLD8: 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
1.68893
Extinction coefficient k
8.01751e-08
Permittivity ε1
2.85247
Permittivity ε2
2.70820e-07
Absorption coefficient α
0.0171462 cm⁻¹
Penetration depth δ = λ/(2πk)
1.16644e+09 nm
Abbe number Vd
31.121
Chromatic dispersion dn/dλ
-0.111562 µm⁻¹
Group index ng
1.75448
Group velocity dispersion
222.532 fs²/mm
Dispersion parameter D
-1214.03 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-SFLD8 (SUMITA): K-SFLD8
sumita_k_sfld8 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SFLD8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_sfld8.range_nm)  # (400, 1550) nm
eps = sumita_k_sfld8.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=2.7609221−0.011601354⁢λ2.0+0.029309701⁢λ−2.0+0.0012957192⁢λ−4.0−3.6971081×10-5⁢λ−6.0+9.8723481×10-6⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C12.7609221
C2-0.011601354
C32.0
C40.029309701
C5-2.0
C60.0012957192
C7-4.0
C8-3.6971081e-05
C9-6.0
C109.8723481e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.37e-07 1.62e-08 -1.83e-10 7.05e-07 1.05e-09 0.299
nd
1.68893
Vd
31.1
glass code
689311
density
value: 2940
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.7e-06, temperature range: 293 573
dPgF
0.0062
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.24e-07 K⁻¹ at 633 nm, dn/dT = -2.67e-07 K⁻¹ at 1310 nm, dn/dT = -3.33e-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-SFLD8 (SUMITA), K-SFLD8: n and k versus wavelength
λ (µm)nk
0.41.7317344.469500e-07
0.401361.7311114.320730e-07
0.4027251.7304964.171453e-07
0.4040951.7298874.021670e-07
0.4054691.7292843.871376e-07
0.4068481.7286883.720572e-07
0.4082311.7280993.569255e-07
0.4096191.7275163.417423e-07
0.4110121.726943.265075e-07
0.412411.7263693.112209e-07
0.4138131.7258052.958823e-07
0.415221.7252462.804915e-07
0.4166321.7246942.650484e-07
0.4180491.7241472.495528e-07
0.419471.7236062.340045e-07
0.421.7234072.282100e-07
0.4208971.7230712.252067e-07
0.4223281.7225422.204125e-07
0.4237641.7220182.156020e-07
0.4252051.7214992.107752e-07
0.4266511.7209852.059319e-07
0.4281021.7204772.010722e-07
0.4295581.7199741.961960e-07
0.4310191.7194771.913032e-07
0.4324841.7189841.863937e-07
0.4339551.7184961.814675e-07
0.4354311.7180131.765246e-07
0.4369121.7175351.715649e-07
0.4383971.7170621.665883e-07
0.4398881.7165931.615948e-07
0.441.7165581.612200e-07
0.4413841.7161291.601405e-07
0.4428851.715671.589697e-07
0.4443911.7152151.577950e-07
0.4459021.7147641.566162e-07
0.4474191.7143181.554335e-07
0.448941.7138761.542467e-07
0.4504671.7134391.530559e-07
0.4519991.7130061.518611e-07
0.4535361.7125761.506621e-07
0.4550781.7121511.494591e-07
0.4566261.711731.482521e-07
0.4581781.7113131.470409e-07
0.4597361.71091.458255e-07
0.461.7108311.456200e-07
0.46131.7104911.442298e-07
0.4628691.7100861.425521e-07
0.4644431.7096841.408686e-07
0.4660221.7092871.391795e-07
0.4676071.7088931.374846e-07
0.4691971.7085021.357839e-07
0.4707921.7081151.340774e-07
0.4723931.7077321.323652e-07
0.4741.7073521.306471e-07
0.4756121.7069761.289232e-07
0.4772291.7066031.271934e-07
0.4788521.7062341.254577e-07
0.481.7059751.242300e-07
0.480481.7058671.237637e-07
0.4821141.7055051.221780e-07
0.4837541.7051451.205869e-07
0.4853991.7047891.189903e-07
0.487051.7044361.173884e-07
0.4887061.7040851.157810e-07
0.4903681.7037391.141681e-07
0.4920351.7033951.125497e-07
0.4937091.7030541.109259e-07
0.4953871.7027161.092965e-07
0.4970721.7023811.076616e-07
0.4987621.7020491.060211e-07
0.51.7018091.048200e-07
0.5004591.701721.045469e-07
0.502161.7013941.035335e-07
0.5038681.7010711.025166e-07
0.5055821.700751.014962e-07
0.5073011.7004321.004724e-07
0.5090261.7001179.944505e-08
0.5107571.6998059.841424e-08
0.5124941.6994959.737992e-08
0.5142371.6991889.634208e-08
0.5159851.6988849.530072e-08
0.517741.6985829.425581e-08
0.5195011.6982829.320735e-08
0.5212671.6979869.215533e-08
0.523041.6976919.109972e-08
0.5248191.6973999.004053e-08
0.5266031.697118.897774e-08
0.5283941.6968238.791133e-08
0.5301911.6965388.684130e-08
0.5319941.6962568.576762e-08
0.5338031.6959768.469030e-08
0.5356181.6956988.360931e-08
0.537441.6954238.252465e-08
0.5392671.695158.143629e-08
0.5411011.6948798.034424e-08
0.5429411.694617.924847e-08
0.5447881.6943447.814898e-08
0.546641.694087.704574e-08
0.5484991.6938177.593876e-08
0.551.6936087.504500e-08
0.5503641.6935577.509472e-08
0.5522361.6932997.535007e-08
0.5541141.6930437.560630e-08
0.5559981.6927897.586340e-08
0.5578891.6925387.612137e-08
0.5597861.6922887.638022e-08
0.561691.692047.663995e-08
0.56361.6917947.690056e-08
0.5655161.691557.716206e-08
0.567441.6913087.742445e-08
0.5693691.6910687.768773e-08
0.5713051.690837.795191e-08
0.5732481.6905937.821698e-08
0.5751981.6903597.848296e-08
0.5771541.6901267.874984e-08
0.5791161.6898957.901763e-08
0.5810861.6896667.928633e-08
0.5830621.6894387.955594e-08
0.5850441.6892137.982647e-08
0.5870341.6889898.009792e-08
0.589031.6887678.037029e-08
0.5910331.6885468.064359e-08
0.5930431.6883278.091782e-08
0.595061.688118.119298e-08
0.5970841.6878958.146908e-08
0.5991141.6876818.174611e-08
0.61.6875888.186700e-08
0.6011511.6874698.202409e-08
0.6031961.6872588.230301e-08
0.6052471.6870498.258288e-08
0.6073051.6868428.286370e-08
0.609371.6866368.314548e-08
0.6114431.6864318.342822e-08
0.6135221.6862288.371192e-08
0.6156081.6860278.399658e-08
0.6177021.6858278.428221e-08
0.6198021.6856288.456881e-08
0.621911.6854318.485639e-08
0.6240251.6852368.514494e-08
0.6261471.6850428.543448e-08
0.6282761.6848498.572500e-08
0.6304131.6846588.601650e-08
0.6325561.6844688.630900e-08
0.6347081.6842798.660250e-08
0.6368661.6840928.689699e-08
0.6390321.6839068.719248e-08
0.6412051.6837228.748898e-08
0.6433851.6835398.778649e-08
0.6455731.6833578.808501e-08
0.6477691.6831768.838454e-08
0.6499711.6829978.868509e-08
0.651.6829958.868900e-08
0.6521821.6828198.873953e-08
0.6543991.6826428.879089e-08
0.6566251.6824678.884243e-08
0.6588581.6822928.889415e-08
0.6610981.6821198.894604e-08
0.6633461.6819478.899810e-08
0.6656021.6817778.905035e-08
0.6678661.6816078.910277e-08
0.6701371.6814398.915537e-08
0.6724161.6812728.920815e-08
0.6747021.6811068.926111e-08
0.6769971.6809418.931425e-08
0.6792991.6807778.936756e-08
0.6816091.6806158.942106e-08
0.6839271.6804538.947475e-08
0.6862531.6802938.952861e-08
0.6885861.6801338.958266e-08
0.6909281.6799758.963689e-08
0.6932781.6798188.969131e-08
0.6956351.6796628.974591e-08
0.6980011.6795078.980070e-08
0.71.6793778.984700e-08
0.7003741.6793538.972611e-08
0.7027561.67928.895701e-08
0.7051461.6790488.818529e-08
0.7075441.6788978.741095e-08
0.709951.6787478.663398e-08
0.7123641.6785988.585436e-08
0.7147871.6784498.507209e-08
0.7172171.6783028.428717e-08
0.7196561.6781568.349957e-08
0.7221041.6780118.270929e-08
0.7245591.6778678.191633e-08
0.7270231.6777238.112067e-08
0.7294961.6775818.032231e-08
0.7319761.6774397.952123e-08
0.7344651.6772997.871742e-08
0.7369631.6771597.791089e-08
0.7394691.677027.710161e-08
0.7419841.6768827.628957e-08
0.7445071.6767457.547478e-08
0.7470391.6766097.465722e-08
0.7495791.6764737.383687e-08
0.7521281.6763397.301374e-08
0.7546861.6762057.218780e-08
0.7572521.6760727.135906e-08
0.7598281.675947.052750e-08
0.7624111.6758096.969311e-08
0.7650041.6756786.885589e-08
0.7676061.6755496.801582e-08
0.7702161.675426.717289e-08
0.7728351.6752916.632709e-08
0.7754631.6751646.547842e-08
0.77811.6750376.462686e-08
0.7807461.6749126.377241e-08
0.7834011.6747866.291505e-08
0.7860651.6746626.205477e-08
0.7887381.6745386.119157e-08
0.7914211.6744156.032544e-08
0.7941121.6742935.945635e-08
0.7968121.6741725.858432e-08
0.7995221.6740515.770931e-08
0.81.674035.755500e-08
0.8022411.6739315.756964e-08
0.8049691.6738115.758747e-08
0.8077071.6736925.760536e-08
0.8104531.6735745.762331e-08
0.8132091.6734575.764132e-08
0.8159751.673345.765939e-08
0.8187491.6732245.767752e-08
0.8215341.6731085.769571e-08
0.8243271.6729935.771397e-08
0.8271311.6728795.773229e-08
0.8299431.6727655.775067e-08
0.8327661.6726525.776911e-08
0.8355981.672545.778762e-08
0.8384391.6724285.780619e-08
0.841291.6723175.782482e-08
0.8441511.6722065.784351e-08
0.8470221.6720965.786227e-08
0.8499021.6719875.788109e-08
0.8527931.6718785.789998e-08
0.8556931.671775.791893e-08
0.8586031.6716625.793794e-08
0.8615221.6715555.795702e-08
0.8644521.6714485.797617e-08
0.8673921.6713425.799538e-08
0.8703411.6712365.801465e-08
0.8733011.6711315.803399e-08
0.8762711.6710265.805340e-08
0.8792511.6709225.807287e-08
0.8822411.6708195.809241e-08
0.8852411.6707165.811202e-08
0.8882511.6706135.813169e-08
0.8912721.6705115.815143e-08
0.8943031.670415.817123e-08
0.8973441.6703095.819110e-08
0.9003951.6702085.821105e-08
0.9034571.6701085.823105e-08
0.906531.6700085.825113e-08
0.9096121.6699095.827127e-08
0.9127061.669815.829149e-08
0.9158091.6697125.831177e-08
0.9189241.6696145.833212e-08
0.9220491.6695165.835254e-08
0.9251841.6694195.837303e-08
0.928331.6693235.839359e-08
0.9314871.6692275.841422e-08
0.9346551.6691315.843492e-08
0.9378331.6690365.845569e-08
0.9410231.6689415.847653e-08
0.9442231.6688465.849744e-08
0.9474341.6687525.851842e-08
0.9506551.6686585.853947e-08
0.9538881.6685655.856060e-08
0.9571321.6684725.858180e-08
0.9603871.6683795.860307e-08
0.9636531.6682875.862441e-08
0.966931.6681955.864582e-08
0.9702181.6681035.866731e-08
0.9735171.6680125.868887e-08
0.9768281.6679215.871050e-08
0.980151.6678315.873221e-08
0.9834831.6677415.875399e-08
0.9868271.6676515.877584e-08
0.9901831.6675615.879777e-08
0.993551.6674725.881978e-08
0.9969291.6673835.884186e-08
1.000321.6672955.886401e-08
1.003721.6672065.888624e-08
1.007131.6671185.890854e-08
1.010561.6670315.893092e-08
1.0141.6669435.895338e-08
1.017441.6668565.897591e-08
1.02091.666775.899852e-08
1.024381.6666835.902121e-08
1.027861.6665975.904397e-08
1.031351.6665115.906681e-08
1.034861.6664255.908973e-08
1.038381.666345.911273e-08
1.041911.6662555.913580e-08
1.045451.666175.915895e-08
1.049011.6660855.918219e-08
1.052581.6660015.920550e-08
1.056161.6659175.922889e-08
1.059751.6658335.925236e-08
1.061.6658275.925400e-08
1.063351.6657495.962478e-08
1.066971.6656656.002473e-08
1.07061.6655826.042604e-08
1.074241.6654996.082872e-08
1.077891.6654166.123277e-08
1.081561.6653346.163819e-08
1.085231.6652516.204498e-08
1.088921.6651696.245317e-08
1.092631.6650876.286274e-08
1.096341.6650056.327370e-08
1.100071.6649246.368606e-08
1.103811.6648426.409983e-08
1.107571.6647616.451500e-08
1.111331.664686.493158e-08
1.115111.6645996.534958e-08
1.11891.6645186.576900e-08
1.122711.6644386.618984e-08
1.126531.6643576.661212e-08
1.130361.6642776.703584e-08
1.13421.6641976.746099e-08
1.138061.6641176.788759e-08
1.141931.6640376.831564e-08
1.145811.6639576.874515e-08
1.149711.6638786.917612e-08
1.153621.6637986.960855e-08
1.157541.6637197.004245e-08
1.161481.663647.047783e-08
1.165431.6635617.091469e-08
1.169391.6634827.135303e-08
1.173371.6634037.179287e-08
1.177361.6633247.223420e-08
1.181361.6632467.267703e-08
1.185381.6631677.312137e-08
1.189411.6630897.356722e-08
1.193451.6630117.401459e-08
1.197511.6629327.446347e-08
1.201581.6628547.491389e-08
1.205671.6627767.536583e-08
1.209771.6626987.581931e-08
1.213881.662627.627434e-08
1.218011.6625427.673091e-08
1.222151.6624647.718903e-08
1.226311.6623877.764871e-08
1.230481.6623097.810996e-08
1.234671.6622317.857277e-08
1.238861.6621547.903716e-08
1.243081.6620767.950313e-08
1.24731.6619997.997068e-08
1.251551.6619218.043982e-08
1.25581.6618448.091055e-08
1.260071.6617668.138289e-08
1.264361.6616898.185684e-08
1.268661.6616128.233239e-08
1.272971.6615348.280956e-08
1.27731.6614578.328836e-08
1.281641.661388.376878e-08
1.2861.6613028.425084e-08
1.290381.6612258.473453e-08
1.294761.6611488.521988e-08
1.299171.661078.570687e-08
1.303581.6609938.619552e-08
1.308021.6609168.668582e-08
1.312471.6608388.717780e-08
1.316931.6607618.767145e-08
1.321411.6606838.816678e-08
1.32591.6606068.866379e-08
1.330411.6605298.916250e-08
1.334931.6604518.966289e-08
1.339471.6603739.016499e-08
1.344031.6602969.066880e-08
1.34861.6602189.117432e-08
1.353181.6601419.168156e-08
1.357791.6600639.219053e-08
1.36241.6599859.270123e-08
1.367041.6599079.321366e-08
1.371691.6598299.372783e-08
1.376351.6597519.424376e-08
1.381031.6596739.476144e-08
1.385731.6595959.528088e-08
1.390441.6595179.580208e-08
1.395171.6594389.632506e-08
1.399911.659369.684981e-08
1.404671.6592819.737636e-08
1.409451.6592039.790469e-08
1.414241.6591249.843481e-08
1.419051.6590459.896674e-08
1.423881.6589669.950048e-08
1.428721.6588871.000360e-07
1.433581.6588081.005734e-07
1.438451.6587291.011126e-07
1.443341.6586491.016537e-07
1.448251.658571.021965e-07
1.453181.658491.027413e-07
1.458121.658411.032878e-07
1.463081.6583311.038363e-07
1.468051.658251.043866e-07
1.473051.658171.049387e-07
1.478051.658091.054928e-07
1.483081.6580091.060487e-07
1.488121.6579291.066065e-07
1.493191.6578481.071663e-07
1.498261.6577671.077279e-07
1.51.6577391.079200e-07
1.503361.6576861.099014e-07
1.508471.6576041.129180e-07
1.51361.6575231.159449e-07
1.518751.6574411.189820e-07
1.523911.6573591.220295e-07
1.529091.6572771.250873e-07
1.534291.6571951.281556e-07
1.539511.6571121.312342e-07
1.544751.6570291.343234e-07
1.551.6569461.374230e-07

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
—