Optical constants

Refractive index of K-SFLD4 (SUMITA)

K-SFLD4: 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
1.75519
Extinction coefficient k
3.17544e-08
Permittivity ε1
3.08071
Permittivity ε2
1.11470e-07
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
27.497
Chromatic dispersion dn/dλ
-0.137644 µm⁻¹
Group index ng
1.83607
Group velocity dispersion
281.367 fs²/mm
Dispersion parameter D
-1535 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-SFLD4 (SUMITA): K-SFLD4
sumita_k_sfld4 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SFLD4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_sfld4.range_nm)  # (400, 1550) nm
eps = sumita_k_sfld4.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=2.9621759−0.011836005⁢λ2.0+0.037648353⁢λ−2.0+0.0015341601⁢λ−4.0−1.0776303×10-5⁢λ−6.0+1.378924×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C12.9621759
C2-0.011836005
C32.0
C40.037648353
C5-2.0
C60.0015341601
C7-4.0
C8-1.0776303e-05
C9-6.0
C101.378924e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.91e-06 1.97e-08 -3.23e-10 8.95e-07 9.72e-10 0.291
nd
1.75520
Vd
27.5
glass code
755275
density
value: 3190
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
0.0131
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.58e-08 K⁻¹ at 633 nm, dn/dT = -1.35e-06 K⁻¹ at 1310 nm, dn/dT = -1.43e-06 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-SFLD4 (SUMITA), K-SFLD4: n and k versus wavelength
λ (µm)nk
0.41.8093989.114800e-07
0.401361.808598.724300e-07
0.4027251.8077918.332472e-07
0.4040951.8070027.939312e-07
0.4054691.8062227.544814e-07
0.4068481.8054517.148975e-07
0.4082311.8046886.751790e-07
0.4096191.8039356.353254e-07
0.4110121.803195.953363e-07
0.412411.8024535.552113e-07
0.4138131.8017255.149497e-07
0.415221.8010054.745513e-07
0.4166321.8002944.340154e-07
0.4180491.799593.933418e-07
0.419471.7988943.525298e-07
0.421.7986373.373200e-07
0.4208971.7982053.302490e-07
0.4223281.7975253.189617e-07
0.4237641.7968523.076360e-07
0.4252051.7961862.962718e-07
0.4266511.7955272.848690e-07
0.4281021.7948762.734273e-07
0.4295581.7942312.619468e-07
0.4310191.7935932.504272e-07
0.4324841.7929632.388685e-07
0.4339551.7923392.272704e-07
0.4354311.7917212.156329e-07
0.4369121.7911112.039558e-07
0.4383971.7905061.922390e-07
0.4398881.7899081.804824e-07
0.441.7898641.796000e-07
0.4413841.7893161.759338e-07
0.4428851.7887311.719577e-07
0.4443911.7881511.679681e-07
0.4459021.7875771.639649e-07
0.4474191.787011.599481e-07
0.448941.7864481.559177e-07
0.4504671.7858911.518735e-07
0.4519991.7853411.478156e-07
0.4535361.7847961.437439e-07
0.4550781.7842561.396583e-07
0.4566261.7837221.355588e-07
0.4581781.7831931.314455e-07
0.4597361.782671.273181e-07
0.461.7825821.266200e-07
0.46131.7821521.241672e-07
0.4628691.7816381.212070e-07
0.4644431.781131.182368e-07
0.4660221.7806271.152565e-07
0.4676071.7801291.122660e-07
0.4691971.7796351.092654e-07
0.4707921.7791471.062546e-07
0.4723931.7786631.032335e-07
0.4741.7781841.002022e-07
0.4756121.7777099.716054e-08
0.4772291.7772399.410856e-08
0.4788521.7767739.104619e-08
0.481.7764488.888000e-08
0.480481.7763128.818949e-08
0.4821141.7758558.584112e-08
0.4837541.7754038.348477e-08
0.4853991.7749548.112040e-08
0.487051.774517.874799e-08
0.4887061.774077.636752e-08
0.4903681.7736357.397895e-08
0.4920351.7732037.158226e-08
0.4937091.7727756.917741e-08
0.4953871.7723516.676439e-08
0.4970721.7719316.434316e-08
0.4987621.7715156.191370e-08
0.51.7712136.013500e-08
0.5004591.7711035.982508e-08
0.502161.7706945.867479e-08
0.5038681.7702895.752058e-08
0.5055821.7698885.636245e-08
0.5073011.769495.520038e-08
0.5090261.7690965.403436e-08
0.5107571.7687055.286438e-08
0.5124941.7683185.169041e-08
0.5142371.7679355.051246e-08
0.5159851.7675544.933049e-08
0.517741.7671774.814451e-08
0.5195011.7668044.695450e-08
0.5212671.7664344.576044e-08
0.523041.7660664.456232e-08
0.5248191.7657034.336012e-08
0.5266031.7653424.215383e-08
0.5283941.7649844.094345e-08
0.5301911.764633.972894e-08
0.5319941.7642783.851031e-08
0.5338031.763933.728753e-08
0.5356181.7635853.606060e-08
0.537441.7632423.482949e-08
0.5392671.7629023.359420e-08
0.5411011.7625663.235470e-08
0.5429411.7622323.111099e-08
0.5447881.7619012.986305e-08
0.546641.7615732.861087e-08
0.5484991.7612472.735443e-08
0.551.7609872.634000e-08
0.5503641.7609242.639247e-08
0.5522361.7606042.666198e-08
0.5541141.7602872.693240e-08
0.5559981.7599722.720375e-08
0.5578891.759662.747601e-08
0.5597861.7593512.774920e-08
0.561691.7590442.802333e-08
0.56361.7587392.829838e-08
0.5655161.7584372.857437e-08
0.567441.7581372.885130e-08
0.5693691.757842.912916e-08
0.5713051.7575462.940798e-08
0.5732481.7572532.968774e-08
0.5751981.7569632.996845e-08
0.5771541.7566763.025012e-08
0.5791161.7563913.053275e-08
0.5810861.7561083.081634e-08
0.5830621.7558273.110089e-08
0.5850441.7555483.138641e-08
0.5870341.7552723.167290e-08
0.589031.7549983.196036e-08
0.5910331.7547263.224880e-08
0.5930431.7544563.253823e-08
0.595061.7541883.282863e-08
0.5970841.7539233.312003e-08
0.5991141.7536593.341241e-08
0.61.7535453.354000e-08
0.6011511.7533983.372437e-08
0.6031961.7531393.405175e-08
0.6052471.7528813.438023e-08
0.6073051.7526263.470983e-08
0.609371.7523723.504056e-08
0.6114431.7521213.537241e-08
0.6135221.7518713.570538e-08
0.6156081.7516243.603949e-08
0.6177021.7513783.637474e-08
0.6198021.7511343.671112e-08
0.621911.7508923.704865e-08
0.6240251.7506523.738733e-08
0.6261471.7504143.772716e-08
0.6282761.7501773.806814e-08
0.6304131.7499423.841028e-08
0.6325561.7497093.875359e-08
0.6347081.7494783.909807e-08
0.6368661.7492493.944371e-08
0.6390321.7490213.979053e-08
0.6412051.7487954.013853e-08
0.6433851.748574.048772e-08
0.6455731.7483474.083809e-08
0.6477691.7481264.118965e-08
0.6499711.7479074.154241e-08
0.651.7479044.154700e-08
0.6521821.7476894.095250e-08
0.6543991.7474724.034814e-08
0.6566251.7472583.974173e-08
0.6588581.7470453.913326e-08
0.6610981.7468333.852271e-08
0.6633461.7466233.791009e-08
0.6656021.7464143.729539e-08
0.6678661.7462073.667860e-08
0.6701371.7460023.605971e-08
0.6724161.7457973.543871e-08
0.6747021.7455953.481561e-08
0.6769971.7453943.419038e-08
0.6792991.7451943.356303e-08
0.6816091.7449953.293354e-08
0.6839271.7447983.230192e-08
0.6862531.7446033.166814e-08
0.6885861.7444093.103221e-08
0.6909281.7442163.039412e-08
0.6932781.7440242.975386e-08
0.6956351.7438342.911142e-08
0.6980011.7436452.846680e-08
0.71.7434872.792200e-08
0.7003741.7434582.796090e-08
0.7027561.7432712.820836e-08
0.7051461.7430862.845666e-08
0.7075441.7429032.870580e-08
0.709951.742722.895580e-08
0.7123641.7425392.920664e-08
0.7147871.7423592.945833e-08
0.7172171.742182.971089e-08
0.7196561.7420032.996430e-08
0.7221041.7418263.021857e-08
0.7245591.7416513.047370e-08
0.7270231.7414773.072971e-08
0.7294961.7413043.098658e-08
0.7319761.7411333.124433e-08
0.7344651.7409623.150296e-08
0.7369631.7407933.176246e-08
0.7394691.7406243.202285e-08
0.7419841.7404573.228412e-08
0.7445071.7402913.254628e-08
0.7470391.7401263.280934e-08
0.7495791.7399623.307328e-08
0.7521281.7397993.333813e-08
0.7546861.7396373.360387e-08
0.7572521.7394773.387052e-08
0.7598281.7393173.413808e-08
0.7624111.7391583.440654e-08
0.7650041.7390013.467592e-08
0.7676061.7388443.494622e-08
0.7702161.7386883.521743e-08
0.7728351.7385333.548957e-08
0.7754631.738383.576263e-08
0.77811.7382273.603662e-08
0.7807461.7380753.631154e-08
0.7834011.7379243.658740e-08
0.7860651.7377743.686419e-08
0.7887381.7376253.714193e-08
0.7914211.7374773.742061e-08
0.7941121.737333.770024e-08
0.7968121.7371843.798082e-08
0.7995221.7370383.826235e-08
0.81.7370133.831200e-08
0.8022411.7368943.812733e-08
0.8049691.736753.790253e-08
0.8077071.7366073.767695e-08
0.8104531.7364653.745061e-08
0.8132091.7363243.722351e-08
0.8159751.7361843.699563e-08
0.8187491.7360443.676697e-08
0.8215341.7359063.653754e-08
0.8243271.7357683.630732e-08
0.8271311.7356313.607633e-08
0.8299431.7354953.584454e-08
0.8327661.7353593.561197e-08
0.8355981.7352253.537861e-08
0.8384391.7350913.514446e-08
0.841291.7349583.490951e-08
0.8441511.7348263.467376e-08
0.8470221.7346943.443721e-08
0.8499021.7345633.419985e-08
0.8527931.7344333.396169e-08
0.8556931.7343043.372271e-08
0.8586031.7341753.348293e-08
0.8615221.7340473.324233e-08
0.8644521.733923.300091e-08
0.8673921.7337933.275867e-08
0.8703411.7336673.251560e-08
0.8733011.7335423.227171e-08
0.8762711.7334183.202699e-08
0.8792511.7332943.178144e-08
0.8822411.733173.153505e-08
0.8852411.7330483.128783e-08
0.8882511.7329263.103976e-08
0.8912721.7328053.079085e-08
0.8943031.7326843.054110e-08
0.8973441.7325643.029049e-08
0.9003951.7324453.003903e-08
0.9034571.7323262.978672e-08
0.906531.7322082.953355e-08
0.9096121.732092.927952e-08
0.9127061.7319732.902462e-08
0.9158091.7318572.876886e-08
0.9189241.7317412.851223e-08
0.9220491.7316262.825472e-08
0.9251841.7315112.799634e-08
0.928331.7313972.773708e-08
0.9314871.7312832.747694e-08
0.9346551.731172.721592e-08
0.9378331.7310582.695401e-08
0.9410231.7309462.669120e-08
0.9442231.7308342.642750e-08
0.9474341.7307242.616291e-08
0.9506551.7306132.589742e-08
0.9538881.7305032.563102e-08
0.9571321.7303942.536372e-08
0.9603871.7302852.509551e-08
0.9636531.7301772.482638e-08
0.966931.7300692.455634e-08
0.9702181.7299612.428539e-08
0.9735171.7298542.401351e-08
0.9768281.7297482.374070e-08
0.980151.7296422.346697e-08
0.9834831.7295362.319231e-08
0.9868271.7294312.291672e-08
0.9901831.7293262.264018e-08
0.993551.7292222.236271e-08
0.9969291.7291182.208429e-08
1.000321.7290152.180493e-08
1.003721.7289122.152462e-08
1.007131.7288092.124335e-08
1.010561.7287072.096113e-08
1.0141.7286052.067794e-08
1.017441.7285042.039380e-08
1.02091.7284032.010868e-08
1.024381.7283021.982260e-08
1.027861.7282021.953555e-08
1.031351.7281021.924752e-08
1.034861.7280031.895851e-08
1.038381.7279041.866851e-08
1.041911.7278051.837753e-08
1.045451.7277071.808557e-08
1.049011.7276091.779260e-08
1.052581.7275111.749865e-08
1.056161.7274141.720369e-08
1.059751.7273171.690773e-08
1.061.727311.688700e-08
1.063351.727221.694041e-08
1.066971.7271241.699802e-08
1.07061.7270281.705582e-08
1.074241.7269321.711383e-08
1.077891.7268371.717203e-08
1.081561.7267421.723043e-08
1.085231.7266471.728902e-08
1.088921.7265521.734782e-08
1.092631.7264581.740681e-08
1.096341.7263641.746601e-08
1.100071.7262711.752541e-08
1.103811.7261771.758501e-08
1.107571.7260841.764481e-08
1.111331.7259921.770482e-08
1.115111.7258991.776503e-08
1.11891.7258071.782544e-08
1.122711.7257151.788606e-08
1.126531.7256231.794689e-08
1.130361.7255311.800792e-08
1.13421.725441.806916e-08
1.138061.7253491.813061e-08
1.141931.7252581.819227e-08
1.145811.7251671.825413e-08
1.149711.7250771.831621e-08
1.153621.7249871.837850e-08
1.157541.7248971.844100e-08
1.161481.7248071.850371e-08
1.165431.7247171.856664e-08
1.169391.7246281.862978e-08
1.173371.7245391.869314e-08
1.177361.724451.875671e-08
1.181361.7243611.882050e-08
1.185381.7242721.888450e-08
1.189411.7241841.894872e-08
1.193451.7240961.901316e-08
1.197511.7240071.907782e-08
1.201581.7239191.914270e-08
1.205671.7238321.920780e-08
1.209771.7237441.927312e-08
1.213881.7236561.933866e-08
1.218011.7235691.940443e-08
1.222151.7234821.947042e-08
1.226311.7233951.953663e-08
1.230481.7233081.960307e-08
1.234671.7232211.966974e-08
1.238861.7231341.973663e-08
1.243081.7230471.980375e-08
1.24731.7229611.987109e-08
1.251551.7228751.993867e-08
1.25581.7227882.000648e-08
1.260071.7227022.007451e-08
1.264361.7226162.014278e-08
1.268661.722532.021128e-08
1.272971.7224442.028002e-08
1.27731.7223582.034898e-08
1.281641.7222722.041818e-08
1.2861.7221872.048762e-08
1.290381.7221012.055729e-08
1.294761.7220152.062720e-08
1.299171.721932.069735e-08
1.303581.7218442.076774e-08
1.308021.7217592.083836e-08
1.312471.7216742.090923e-08
1.316931.7215882.098034e-08
1.321411.7215032.105169e-08
1.32591.7214182.112328e-08
1.330411.7213332.119511e-08
1.334931.7212472.126719e-08
1.339471.7211622.133951e-08
1.344031.7210772.141208e-08
1.34861.7209922.148490e-08
1.353181.7209072.155797e-08
1.357791.7208222.163128e-08
1.36241.7207372.170484e-08
1.367041.7206512.177865e-08
1.371691.7205662.185272e-08
1.376351.7204812.192703e-08
1.381031.7203962.200160e-08
1.385731.7203112.207642e-08
1.390441.7202262.215150e-08
1.395171.720142.222683e-08
1.399911.7200552.230242e-08
1.404671.719972.237826e-08
1.409451.7198852.245436e-08
1.414241.7197992.253072e-08
1.419051.7197142.260735e-08
1.423881.7196282.268423e-08
1.428721.7195432.276137e-08
1.433581.7194572.283878e-08
1.438451.7193722.291644e-08
1.443341.7192862.299438e-08
1.448251.71922.307257e-08
1.453181.7191142.315104e-08
1.458121.7190282.322977e-08
1.463081.7189422.330877e-08
1.468051.7188562.338803e-08
1.473051.718772.346757e-08
1.478051.7186832.354738e-08
1.483081.7185972.362745e-08
1.488121.718512.370780e-08
1.493191.7184242.378843e-08
1.498261.7183372.386933e-08
1.51.7183072.389700e-08
1.503361.718252.513518e-08
1.508471.7181632.702024e-08
1.51361.7180762.891170e-08
1.518751.7179893.080960e-08
1.523911.7179013.271395e-08
1.529091.7178143.462478e-08
1.534291.7177263.654211e-08
1.539511.7176383.846596e-08
1.544751.717554.039635e-08
1.551.7174624.233330e-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
—