Optical constants

Refractive index of SF4 (SCHOTT)

SF4: n,k 0.365–2.5 µm

Data
formula 2 + tabulated k
Range
0.365–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.5 µm
Refractive index n
1.7552
Extinction coefficient k
7.87323e-09
Permittivity ε1
3.08071
Permittivity ε2
2.76381e-08
Absorption coefficient α
0.00168376 cm⁻¹
Penetration depth δ = λ/(2πk)
1.18782e+10 nm
Abbe number Vd
27.58
Chromatic dispersion dn/dλ
-0.137582 µm⁻¹
Group index ng
1.83604
Group velocity dispersion
280.472 fs²/mm
Dispersion parameter D
-1530.12 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

# SF4 (SCHOTT): SF4
schott_sf4 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "SF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_sf4.range_nm)  # (365, 2500) nm
eps = schott_sf4.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=1.61957826λ2λ2−0.0125502104+0.339493189λ2λ2−0.0544559822+1.02566931λ2λ2−117.652222

Valid from 0.365 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.61957826
C30.0125502104
C40.339493189
C50.0544559822
C61.02566931
C7117.652222

Comments and conditions

lead containing glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.6e-06 1.7e-08 -5.27e-11 1.54e-06 1.46e-09 0.266
nd
1.7552
Vd
27.58
glass code
755276.479
glass status
standard
density
value: 4790
thermal expansion
value: 8e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
0.0062
resistance
acid: 4.3; stain: 2.0; alkali: 2.3; climatic: 1.0; phosphate: 3.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.05e-06 K⁻¹ at 633 nm, dn/dT = 3.73e-06 K⁻¹ at 1310 nm, dn/dT = 3.56e-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 418 wavelengths, the same grid as the API and the library
SF4 (SCHOTT), SF4: n and k versus wavelength
λ (µm)nk
0.3651.8333171.479000e-06
0.3667641.8317941.288949e-06
0.3685371.83031.097979e-06
0.371.8290929.404400e-07
0.3703191.8288329.247605e-07
0.3721091.827398.367550e-07
0.3739081.8259747.483241e-07
0.3757151.8245826.594656e-07
0.3775321.8232155.701776e-07
0.3793571.8218714.804580e-07
0.381.8214054.488300e-07
0.381191.8205514.247263e-07
0.3830331.8192523.874171e-07
0.3848851.8179763.499275e-07
0.3867451.8167213.122567e-07
0.3886151.8154872.744038e-07
0.391.8145892.463600e-07
0.3904941.8142732.415246e-07
0.3923811.8130782.230292e-07
0.3942781.8119042.044443e-07
0.3961841.8107481.857697e-07
0.3980991.809611.670047e-07
0.41.8085051.483800e-07
0.4000241.8084911.482536e-07
0.4019571.8073891.378888e-07
0.40391.8063051.274738e-07
0.4051.8057011.215800e-07
0.4058531.8052371.185661e-07
0.4078151.8041861.116332e-07
0.4097861.8031511.046668e-07
0.4117671.8021329.766666e-08
0.4137581.8011299.063272e-08
0.4157581.800148.356477e-08
0.4177681.7991677.646266e-08
0.4197871.7982076.932621e-08
0.421.7981076.857400e-08
0.4218161.7972626.607609e-08
0.4238561.7963316.327195e-08
0.4259041.7954146.045427e-08
0.4279631.794515.762296e-08
0.4300321.7936195.477796e-08
0.4321111.7927415.191921e-08
0.43421.7918764.904664e-08
0.4361.7911434.657100e-08
0.4362991.7910224.635952e-08
0.4384081.7901814.486645e-08
0.4405271.7893524.336617e-08
0.4426571.7885354.185863e-08
0.4447971.7877284.034381e-08
0.4469471.7869343.882166e-08
0.4491071.786153.729215e-08
0.4512781.7853763.575525e-08
0.453461.7846143.421092e-08
0.4556521.7838623.265913e-08
0.4578551.783123.109983e-08
0.461.782412.958100e-08
0.4600681.7823882.955525e-08
0.4622921.7816662.871057e-08
0.4645271.7809532.786181e-08
0.4667721.780252.700895e-08
0.4690291.7795572.615196e-08
0.4712961.7788722.529084e-08
0.4735741.7781972.442555e-08
0.4758631.777532.355607e-08
0.4781641.7768722.268240e-08
0.4804751.7762232.180450e-08
0.4827981.7755822.092235e-08
0.4851321.7749492.003595e-08
0.4874771.7743241.914525e-08
0.4898331.7737081.825025e-08
0.4922011.7730991.735093e-08
0.4945811.7724981.644726e-08
0.4969721.7719041.553922e-08
0.4993741.7713181.462678e-08
0.51.7711671.438900e-08
0.5017881.7707391.410047e-08
0.5042141.7701681.370903e-08
0.5066511.7696031.331570e-08
0.50911.7690461.292046e-08
0.5115611.7684961.252332e-08
0.5140341.7679521.212425e-08
0.5165191.7674151.172326e-08
0.5190161.7668841.132032e-08
0.5215251.766361.091544e-08
0.5240461.7658431.050861e-08
0.5265791.7653311.009980e-08
0.5291251.7648269.689020e-09
0.5316831.7643279.276253e-09
0.5342531.7638338.861491e-09
0.5368351.7633468.444724e-09
0.5394311.7628648.025942e-09
0.5420381.7623887.605136e-09
0.5446581.7619187.182295e-09
0.5461.761686.965800e-09
0.5472911.7614536.982276e-09
0.5499371.7609947.016031e-09
0.5525951.760547.049950e-09
0.5552671.7600927.084032e-09
0.5579511.7596487.118280e-09
0.5606481.759217.152692e-09
0.5633581.7587777.187272e-09
0.5660821.7583487.222018e-09
0.5688181.7579257.256932e-09
0.5715681.7575077.292015e-09
0.5743311.7570937.327268e-09
0.5771071.7566847.362691e-09
0.5798971.7562797.398285e-09
0.581.7562657.399600e-09
0.58271.755887.567877e-09
0.5855171.7554847.743421e-09
0.5883471.7550937.919814e-09
0.5911921.7547078.097059e-09
0.5940491.7543258.275161e-09
0.5969211.7539478.454124e-09
0.5998071.7535738.633952e-09
0.6027061.7532038.814650e-09
0.605621.7528388.996221e-09
0.6085471.7524769.178670e-09
0.6114891.7521189.362000e-09
0.6144451.7517659.546217e-09
0.6174151.7514159.731325e-09
0.621.7511159.892400e-09
0.62041.7510699.898786e-09
0.6233991.7507279.946666e-09
0.6264131.7503889.994777e-09
0.6294411.7500531.004312e-08
0.6324831.7497221.009170e-08
0.6355411.7493941.014051e-08
0.6386131.7490691.018956e-08
0.64171.7487481.023885e-08
0.6448021.7484311.028837e-08
0.6479191.7481171.033813e-08
0.6510511.7478061.038814e-08
0.6541991.7474981.043838e-08
0.6573611.7471941.048887e-08
0.661.7469431.053100e-08
0.6605391.7468931.050944e-08
0.6637321.7465951.038168e-08
0.666941.74631.025329e-08
0.6701651.7460081.012429e-08
0.6734041.7457199.994666e-09
0.6766591.7454339.864414e-09
0.679931.745159.733532e-09
0.6832171.744879.602018e-09
0.686521.7445929.469868e-09
0.6898391.7443189.337079e-09
0.6931731.7440469.203648e-09
0.6965241.7437779.069572e-09
0.6998911.7435118.934848e-09
0.71.7435028.930500e-09
0.7032751.7432478.972275e-09
0.7066741.7429869.015644e-09
0.710091.7427289.059224e-09
0.7135231.7424729.103013e-09
0.7169721.7422199.147015e-09
0.7204381.7419689.191229e-09
0.7239211.741729.235657e-09
0.727421.7414749.280300e-09
0.7309371.741239.325159e-09
0.734471.7409899.370234e-09
0.7380211.740759.415527e-09
0.7415881.7405149.461040e-09
0.7451731.740289.506772e-09
0.7487751.7400479.552725e-09
0.7523951.7398189.598901e-09
0.7560321.739599.645299e-09
0.7596871.7393659.691922e-09
0.7633591.7391419.738771e-09
0.7670491.738929.785846e-09
0.7707571.7387019.833148e-09
0.7744831.7384849.880679e-09
0.7782271.7382689.928440e-09
0.7819891.7380559.976432e-09
0.7857691.7378441.002466e-08
0.7895681.7376351.007311e-08
0.7933851.7374281.012180e-08
0.797221.7372221.017073e-08
0.8010741.7370181.021989e-08
0.8049461.7368171.026929e-08
0.8088371.7366171.031893e-08
0.8127471.7364191.036881e-08
0.8166761.7362221.041893e-08
0.8206241.7360271.046930e-08
0.8245911.7358341.051990e-08
0.8285771.7356431.057075e-08
0.8325831.7354541.062185e-08
0.8366071.7352661.067319e-08
0.8406521.7350791.072479e-08
0.8447151.7348951.077663e-08
0.8487991.7347111.082872e-08
0.8529021.734531.088106e-08
0.8570251.734351.093366e-08
0.8611681.7341711.098651e-08
0.8653311.7339941.103962e-08
0.8695141.7338181.109298e-08
0.8737171.7336441.114660e-08
0.8779411.7334721.120048e-08
0.8821851.73331.125462e-08
0.8864491.733131.130902e-08
0.8907351.7329621.136369e-08
0.895041.7327951.141862e-08
0.8993671.7326291.147382e-08
0.9037151.7324641.152928e-08
0.9080831.7323011.158501e-08
0.9124731.7321391.164101e-08
0.9168841.7319781.169728e-08
0.9213161.7318191.175382e-08
0.925771.7316611.181064e-08
0.9302451.7315041.186773e-08
0.9347421.7313481.192509e-08
0.9392611.7311931.198274e-08
0.9438011.7310391.204066e-08
0.9483641.7308871.209886e-08
0.9529481.7307361.215735e-08
0.9575551.7305861.221611e-08
0.9621841.7304371.227516e-08
0.9668351.7302891.233450e-08
0.9715091.7301421.239412e-08
0.9762051.7299961.245403e-08
0.9809241.7298511.251423e-08
0.9856661.7297071.257472e-08
0.9904311.7295641.263551e-08
0.9952191.7294221.269659e-08
1.000031.7292811.275796e-08
1.004861.7291411.281963e-08
1.009721.7290021.288160e-08
1.01461.7288641.294386e-08
1.019511.7287261.300643e-08
1.024441.728591.306930e-08
1.029391.7284541.313248e-08
1.034361.7283191.319596e-08
1.039361.7281861.325975e-08
1.044391.7280531.332384e-08
1.049441.727921.338825e-08
1.054511.7277891.345296e-08
1.059611.7276581.351799e-08
1.061.7276481.352300e-08
1.064731.7275281.392901e-08
1.069881.7273991.437082e-08
1.075051.7272711.481478e-08
1.080251.7271431.526088e-08
1.085471.7270161.570914e-08
1.090711.726891.615956e-08
1.095991.7267641.661216e-08
1.101291.7266391.706695e-08
1.106611.7265151.752394e-08
1.111961.7263911.798314e-08
1.117331.7262681.844456e-08
1.122741.7261461.890820e-08
1.128161.7260241.937409e-08
1.133621.7259031.984223e-08
1.13911.7257822.031264e-08
1.14461.7256622.078532e-08
1.150141.7255432.126028e-08
1.15571.7254242.173754e-08
1.161281.7253052.221711e-08
1.16691.7251872.269899e-08
1.172541.725072.318320e-08
1.17821.7249532.366976e-08
1.18391.7248372.415867e-08
1.189621.7247212.464994e-08
1.195371.7246052.514358e-08
1.201151.724492.563961e-08
1.206961.7243752.613804e-08
1.212791.7242612.663888e-08
1.218661.7241472.714214e-08
1.224551.7240342.764783e-08
1.230471.7239212.815597e-08
1.236421.7238082.866656e-08
1.242391.7236962.917962e-08
1.24841.7235842.969517e-08
1.254431.7234733.021320e-08
1.26051.7233613.073374e-08
1.266591.723253.125679e-08
1.272711.723143.178238e-08
1.278871.7230293.231050e-08
1.285051.7229193.284118e-08
1.291261.7228093.337442e-08
1.29751.72273.391024e-08
1.303771.7225913.444865e-08
1.310081.7224813.498966e-08
1.316411.7223733.553329e-08
1.322771.7222643.607954e-08
1.329171.7221563.662844e-08
1.335591.7220473.717999e-08
1.342051.7219393.773421e-08
1.348541.7218313.829110e-08
1.355061.7217243.885069e-08
1.361611.7216163.941298e-08
1.368191.7215093.997799e-08
1.37481.7214014.054573e-08
1.381451.7212944.111622e-08
1.388131.7211874.168947e-08
1.394841.721084.226548e-08
1.401581.7209734.284428e-08
1.408351.7208664.342588e-08
1.415161.7207594.401029e-08
1.4221.7206534.459752e-08
1.428881.7205464.518759e-08
1.435781.7204394.578052e-08
1.442731.7203334.637631e-08
1.44971.7202264.697498e-08
1.456711.7201194.757655e-08
1.463751.7200124.818102e-08
1.470831.7199064.878842e-08
1.477941.7197994.939875e-08
1.485081.7196925.001203e-08
1.492261.7195855.062828e-08
1.499471.7194785.124751e-08
1.506721.7193715.186973e-08
1.5141.7192645.249496e-08
1.521321.7191575.312321e-08
1.528681.719055.375449e-08
1.531.719035.386800e-08
1.536071.7189426.128022e-08
1.543491.7188347.035147e-08
1.550951.7187277.946657e-08
1.558451.7186198.862574e-08
1.565991.7185119.782918e-08
1.573561.7184021.070771e-07
1.581161.7182941.163697e-07
1.588811.7181851.257073e-07
1.596491.7180761.350900e-07
1.60421.7179671.445181e-07
1.611961.7178581.539917e-07
1.619751.7177481.635111e-07
1.627581.7176381.730765e-07
1.635451.7175281.826882e-07
1.643351.7174181.923464e-07
1.65131.7173072.020512e-07
1.659281.7171962.118030e-07
1.66731.7170842.216018e-07
1.675361.7169732.314481e-07
1.683461.7168612.413420e-07
1.69161.7167482.512836e-07
1.699781.7166352.612734e-07
1.707991.7165222.713114e-07
1.716251.7164092.813980e-07
1.724551.7162952.915333e-07
1.732881.716183.017176e-07
1.741261.7160653.119511e-07
1.749681.715953.222342e-07
1.758131.7158353.325669e-07
1.766631.7157183.429495e-07
1.775171.7156023.533824e-07
1.783761.7154853.638657e-07
1.792381.7153673.743997e-07
1.801041.7152493.849846e-07
1.809751.715133.956206e-07
1.81851.7150114.063081e-07
1.827291.7148914.170472e-07
1.836121.7147714.278383e-07
1.8451.714654.386815e-07
1.853921.7145284.495772e-07
1.862881.7144064.605255e-07
1.871881.7142844.715267e-07
1.880931.714164.825811e-07
1.890021.7140364.936890e-07
1.899161.7139125.048505e-07
1.908341.7137865.160660e-07
1.917571.713665.273357e-07
1.926841.7135345.386599e-07
1.936151.7134065.500389e-07
1.945511.7132785.614728e-07
1.954921.7131495.729620e-07
1.964371.7130195.845068e-07
1.971.7129425.913900e-07
1.973861.7128896.091965e-07
1.98341.7127586.531965e-07
1.992991.7126266.974093e-07
2.002631.7124937.418357e-07
2.012311.7123597.864769e-07
2.022031.7122258.313340e-07
2.031811.7120898.764078e-07
2.041631.7119539.216996e-07
2.05151.7118169.672103e-07
2.061421.7116781.012941e-06
2.071381.7115391.058893e-06
2.08141.7113991.105067e-06
2.091461.7112581.151464e-06
2.101571.7111171.198085e-06
2.111731.7109741.244932e-06
2.121931.710831.292005e-06
2.132191.7106851.339306e-06
2.14251.710541.386835e-06
2.152861.7103931.434594e-06
2.163261.7102451.482585e-06
2.173721.7100961.530807e-06
2.184231.7099461.579262e-06
2.194791.7097941.627951e-06
2.20541.7096421.676876e-06
2.216061.7094881.726037e-06
2.226771.7093341.775436e-06
2.237541.7091781.825074e-06
2.248351.7090211.874952e-06
2.259221.7088621.925070e-06
2.270141.7087031.975431e-06
2.281121.7085422.026036e-06
2.292141.708382.076885e-06
2.303221.7082162.127980e-06
2.314361.7080522.179322e-06
2.3251.7078942.228400e-06
2.325541.7078852.231756e-06
2.336791.7077182.301019e-06
2.348081.7075492.370617e-06
2.359431.7073792.440550e-06
2.370841.7072072.510822e-06
2.38231.7070342.581434e-06
2.393821.706862.652387e-06
2.405391.7066842.723683e-06
2.417021.7065062.795324e-06
2.42871.7063272.867311e-06
2.440441.7061462.939646e-06
2.452241.7059643.012331e-06
2.464091.705783.085367e-06
2.4761.7055953.158756e-06
2.487971.7054083.232500e-06
2.51.7052193.306600e-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
—