Optical constants

Refractive index of J-SF13 (HIKARI)

J-SF13: n,k 0.3889–2.058 µm

Data
formula 3 + tabulated k
Range
0.3889–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3889–2.058 µm
Refractive index n
1.74076
Extinction coefficient k
5.86504e-08
Permittivity ε1
3.03026
Permittivity ε2
2.04193e-07
Absorption coefficient α
0.0125429 cm⁻¹
Penetration depth δ = λ/(2πk)
1.59452e+09 nm
Abbe number Vd
27.741
Chromatic dispersion dn/dλ
-0.133973 µm⁻¹
Group index ng
1.81949
Group velocity dispersion
272.896 fs²/mm
Dispersion parameter D
-1488.79 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

# J-SF13 (HIKARI): J-SF13
hikari_j_sf13 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SF13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sf13.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_sf13.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=2.9174225−0.0121278695⁢λ2.0+0.0344734103⁢λ−2.0+0.00266756706⁢λ−4.0−0.000432503622⁢λ−6.0+0.000100646069⁢λ−8.0−1.00610625×10-5⁢λ−10.0+4.80261151×10-7⁢λ−12.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C12.9174225
C2-0.0121278695
C32.0
C40.0344734103
C5-2.0
C60.00266756706
C7-4.0
C8-0.000432503622
C9-6.0
C100.000100646069
C11-8.0
C12-1.00610625e-05
C13-10.0
C144.80261151e-07
C15-12.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -3.1053e-06 1.0901e-08 -8.0763e-13 9.8199e-07 1.3488e-09 0.28347
nd
1.740770
Vd
27.740933
density
value: 3100
thermal expansion
value: 8.6e-06, temperature range: 243 343
dPgF
0.011
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -2.31e-08 K⁻¹ at 633 nm, dn/dT = -1.41e-06 K⁻¹ at 1310 nm, dn/dT = -1.50e-06 K⁻¹ at 1550 nm

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI 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 419 wavelengths, the same grid as the API and the library
J-SF13 (HIKARI), J-SF13: n and k versus wavelength
λ (µm)nk
0.3888651.8001521.294950e-06
0.391.7994081.151600e-06
0.3904921.7990881.127924e-06
0.3921271.798041.049345e-06
0.3937681.7970089.704362e-07
0.3954151.7959918.911975e-07
0.397071.7949918.116272e-07
0.3987321.7940057.317239e-07
0.41.7932656.707500e-07
0.4004011.7930346.635547e-07
0.4020761.7920776.334592e-07
0.4037591.7911356.032378e-07
0.4054491.7902065.728899e-07
0.4071451.789295.424150e-07
0.4088491.7883885.118126e-07
0.410561.7874984.810821e-07
0.4122781.7866214.502230e-07
0.4140041.7857574.192348e-07
0.4157361.7849043.881168e-07
0.4174761.7840633.568687e-07
0.4192231.7832333.254898e-07
0.421.7828693.115400e-07
0.4209781.7824153.059934e-07
0.4227391.7816082.959989e-07
0.4245091.7808122.859626e-07
0.4262851.7800262.758843e-07
0.4280691.7792512.657638e-07
0.4298611.7784862.556010e-07
0.431661.7777322.453956e-07
0.4334661.7769862.351476e-07
0.435281.7762512.248566e-07
0.4371021.7755252.145226e-07
0.4389311.7748092.041453e-07
0.441.7743951.980800e-07
0.4407681.7741011.962125e-07
0.4426121.7734031.917255e-07
0.4444651.7727131.872198e-07
0.4463251.7720321.826952e-07
0.4481931.7713591.781517e-07
0.4500681.7706951.735892e-07
0.4519521.7700391.690076e-07
0.4538431.7693911.644068e-07
0.4557421.7687511.597868e-07
0.457651.7681191.551474e-07
0.4595651.7674941.504886e-07
0.461.7673531.494300e-07
0.4614881.7668771.472619e-07
0.4634191.7662671.444480e-07
0.4653591.7656651.416223e-07
0.4673061.7650691.387848e-07
0.4692621.7644811.359355e-07
0.4712261.76391.330742e-07
0.4731981.7633251.302009e-07
0.4751781.7627581.273156e-07
0.4771671.7621961.244182e-07
0.4791641.7616421.215087e-07
0.481.7614121.202900e-07
0.4811691.7610931.189090e-07
0.4831821.7605511.165296e-07
0.4852051.7600161.141403e-07
0.4872351.7594861.117410e-07
0.4892741.7589621.093317e-07
0.4913221.7584441.069123e-07
0.4933781.7579321.044827e-07
0.4954431.7574261.020430e-07
0.4975161.7569259.959311e-08
0.4995981.756439.713294e-08
0.51.7563369.665800e-08
0.5016891.7559419.547751e-08
0.5037881.7554579.400993e-08
0.5058971.7549789.253622e-08
0.5080141.7545049.105634e-08
0.510141.7540368.957026e-08
0.5122751.7535728.807797e-08
0.5144191.7531148.657943e-08
0.5165711.7526618.507462e-08
0.5187331.7522128.356351e-08
0.5209041.7517688.204608e-08
0.5230841.7513298.052230e-08
0.5252731.7508957.899214e-08
0.5274711.7504657.745558e-08
0.5296791.750047.591259e-08
0.5318951.7496197.436314e-08
0.5341211.7492037.280720e-08
0.5363571.7487917.124476e-08
0.5386011.7483836.967577e-08
0.5408551.747986.810022e-08
0.5431191.747586.651808e-08
0.5453921.7471856.492932e-08
0.5476741.7467946.333390e-08
0.5499661.7464076.173181e-08
0.551.7464016.170800e-08
0.5522681.7460246.152361e-08
0.5545791.7456446.133566e-08
0.55691.7452696.114693e-08
0.559231.7448976.095740e-08
0.561571.7445296.076709e-08
0.5639211.7441656.057597e-08
0.5662811.7438056.038406e-08
0.568651.7434486.019135e-08
0.571031.7430945.999782e-08
0.573421.7427445.980349e-08
0.575821.7423985.960835e-08
0.5782291.7420555.941239e-08
0.5806491.7417155.921560e-08
0.5830791.7413785.901800e-08
0.5855191.7410455.881957e-08
0.587971.7407155.862030e-08
0.590431.7403895.842021e-08
0.5929011.7400655.821927e-08
0.5953821.7397455.801750e-08
0.5978741.7394275.781488e-08
0.61.739165.764200e-08
0.6003761.7391135.771755e-08
0.6028891.7388025.822217e-08
0.6054121.7384935.872890e-08
0.6079451.7381885.923774e-08
0.610491.7378855.974872e-08
0.6130441.7375866.026184e-08
0.615611.7372896.077710e-08
0.6181861.7369956.129452e-08
0.6207731.7367036.181411e-08
0.6233711.7364156.233587e-08
0.625981.7361296.285981e-08
0.62861.7358456.338595e-08
0.631231.7355656.391429e-08
0.6338721.7352876.444484e-08
0.6365251.7350116.497761e-08
0.6391881.7347386.551261e-08
0.6418631.7344676.604985e-08
0.644551.7341996.658933e-08
0.6472471.7339336.713108e-08
0.6499561.733676.767509e-08
0.651.7336666.768400e-08
0.6526761.7334096.766072e-08
0.6554071.7331516.763696e-08
0.658151.7328946.761310e-08
0.6609041.732646.758913e-08
0.663671.7323886.756507e-08
0.6664471.7321396.754091e-08
0.6692361.7318916.751664e-08
0.6720371.7316466.749228e-08
0.674851.7314036.746781e-08
0.6776741.7311626.744324e-08
0.680511.7309246.741856e-08
0.6833581.7306876.739379e-08
0.6862171.7304526.736891e-08
0.6890891.7302196.734392e-08
0.6919731.7299896.731883e-08
0.6948691.729766.729364e-08
0.6977771.7295336.726834e-08
0.71.7293626.724900e-08
0.7006971.7293086.731596e-08
0.7036291.7290856.759768e-08
0.7065741.7288646.788057e-08
0.7095311.7286456.816464e-08
0.71251.7284286.844991e-08
0.7154821.7282126.873636e-08
0.7184761.7279986.902402e-08
0.7214831.7277866.931288e-08
0.7245021.7275766.960295e-08
0.7275341.7273686.989423e-08
0.7305791.7271617.018674e-08
0.7336371.7269567.048046e-08
0.7367071.7267527.077542e-08
0.739791.7265517.107161e-08
0.7428861.726357.136904e-08
0.7459951.7261527.166771e-08
0.7491171.7259557.196764e-08
0.7522521.7257597.226881e-08
0.75541.7255667.257125e-08
0.7585611.7253737.287496e-08
0.7617361.7251827.317994e-08
0.7649231.7249937.348619e-08
0.7681251.7248057.379372e-08
0.7713391.7246197.410254e-08
0.7745671.7244347.441266e-08
0.7778091.724257.472407e-08
0.7810641.7240687.503678e-08
0.7843321.7238887.535081e-08
0.7876151.7237087.566615e-08
0.7909111.723537.598280e-08
0.7942211.7233547.630079e-08
0.7975441.7231787.662010e-08
0.81.723057.685600e-08
0.8008821.7230047.662183e-08
0.8042341.7228317.573210e-08
0.8075991.722667.483865e-08
0.8109791.722497.394147e-08
0.8143731.7223217.304052e-08
0.8177811.7221537.213581e-08
0.8212041.7219877.122731e-08
0.824641.7218217.031501e-08
0.8280911.7216576.939890e-08
0.8315571.7214946.847894e-08
0.8350371.7213326.755514e-08
0.8385311.7211726.662748e-08
0.8420411.7210126.569592e-08
0.8455641.7208546.476048e-08
0.8491031.7206966.382111e-08
0.8526561.720546.287782e-08
0.8562251.7203856.193058e-08
0.8598081.7202316.097937e-08
0.8634061.7200776.002418e-08
0.867021.7199255.906500e-08
0.8706481.7197745.810180e-08
0.8742921.7196245.713457e-08
0.877951.7194755.616329e-08
0.8816251.7193275.518795e-08
0.8853141.719185.420853e-08
0.8890191.7190345.322501e-08
0.892741.7188885.223737e-08
0.8964761.7187445.124560e-08
0.91.7186095.031000e-08
0.9002271.71865.034092e-08
0.9039951.7184585.085359e-08
0.9077781.7183165.136840e-08
0.9115771.7181755.188537e-08
0.9153921.7180355.240450e-08
0.9192231.7178965.292580e-08
0.9230691.7177585.344928e-08
0.9269321.7176215.397496e-08
0.9308121.7174845.450283e-08
0.9347071.7173485.503291e-08
0.9386191.7172135.556521e-08
0.9425471.7170795.609974e-08
0.9464911.7169455.663651e-08
0.9504521.7168135.717552e-08
0.954431.7166815.771679e-08
0.9584241.7165495.826032e-08
0.9624351.7164195.880613e-08
0.9664631.7162895.935422e-08
0.9705071.716165.990461e-08
0.9745691.7160316.045730e-08
0.9786471.7159036.101230e-08
0.9827431.7157766.156962e-08
0.9868551.715656.212928e-08
0.9909851.7155246.269128e-08
0.9951321.7153996.325563e-08
0.9992971.7152746.382234e-08
11.7152536.391800e-08
1.003481.715156.363877e-08
1.007681.7150276.330172e-08
1.01191.7149046.296326e-08
1.016131.7147826.262338e-08
1.020381.714666.228208e-08
1.024651.7145396.193935e-08
1.028941.7144196.159519e-08
1.033251.7142996.124959e-08
1.037571.714186.090254e-08
1.041911.7140616.055404e-08
1.046271.7139426.020408e-08
1.050651.7138245.985265e-08
1.055051.7137075.949976e-08
1.059461.713595.914539e-08
1.06391.7134745.878953e-08
1.068351.7133585.843219e-08
1.072821.7132425.807335e-08
1.077311.7131275.771300e-08
1.081821.7130135.735115e-08
1.086351.7128985.698779e-08
1.090891.7127855.662291e-08
1.095461.7126715.625649e-08
1.100041.7125585.588855e-08
1.104651.7124465.551906e-08
1.109271.7123335.514803e-08
1.113911.7122225.477545e-08
1.118571.712115.440131e-08
1.123251.7119995.402560e-08
1.127961.7118885.364832e-08
1.132681.7117785.326946e-08
1.137421.7116685.288901e-08
1.142181.7115585.250697e-08
1.146961.7114495.212334e-08
1.151761.7113395.173809e-08
1.156581.7112315.135124e-08
1.161421.7111225.096277e-08
1.166281.7110145.057267e-08
1.171161.7109065.018094e-08
1.176061.7107984.978757e-08
1.180981.710694.939255e-08
1.185921.7105834.899588e-08
1.190891.7104764.859755e-08
1.195871.7103694.819755e-08
1.21.7102814.786600e-08
1.200871.7102634.794978e-08
1.20591.7101564.843174e-08
1.210951.710054.891570e-08
1.216011.7099444.940170e-08
1.22111.7098384.988973e-08
1.226211.7097335.037980e-08
1.231341.7096275.087192e-08
1.23651.7095225.136610e-08
1.241671.7094175.186235e-08
1.246871.7093125.236067e-08
1.252091.7092075.286109e-08
1.257331.7091025.336359e-08
1.262591.7089975.386820e-08
1.267871.7088935.437492e-08
1.273181.7087885.488376e-08
1.278511.7086845.539473e-08
1.283861.708585.590784e-08
1.289231.7084765.642310e-08
1.294621.7083725.694051e-08
1.300041.7082685.746008e-08
1.305481.7081645.798184e-08
1.310951.708065.850577e-08
1.316431.7079565.903190e-08
1.321941.7078525.956023e-08
1.327471.7077486.009077e-08
1.333031.7076446.062353e-08
1.338611.707546.115852e-08
1.344211.7074376.169575e-08
1.349841.7073336.223523e-08
1.355481.7072296.277697e-08
1.361161.7071256.332097e-08
1.366851.7070216.386725e-08
1.372571.7069176.441581e-08
1.378321.7068136.496667e-08
1.384091.7067096.551984e-08
1.389881.7066056.607532e-08
1.395691.7065016.663313e-08
1.41.7064246.704600e-08
1.401541.7063976.781047e-08
1.40741.7062937.073035e-08
1.413291.7061887.366244e-08
1.419211.7060847.660681e-08
1.425141.7059797.956349e-08
1.431111.7058748.253256e-08
1.43711.7057698.551404e-08
1.443111.7056648.850801e-08
1.449151.7055599.151450e-08
1.455221.7054549.453357e-08
1.461311.7053489.756528e-08
1.467421.7052431.006097e-07
1.473561.7051371.036668e-07
1.479731.7050311.067367e-07
1.485921.7049251.098195e-07
1.492141.7048191.129152e-07
1.498381.7047121.160238e-07
1.504661.7046051.191455e-07
1.510951.7044981.222802e-07
1.517281.7043911.254280e-07
1.523631.7042841.285890e-07
1.531.7041761.317633e-07
1.53641.7040681.349508e-07
1.542831.703961.381516e-07
1.549291.7038511.413659e-07
1.555771.7037421.445936e-07
1.562291.7036331.478348e-07
1.568821.7035241.510895e-07
1.575391.7034141.543579e-07
1.581981.7033041.576400e-07
1.58861.7031941.609358e-07
1.595251.7030841.642454e-07
1.61.7030051.666100e-07
1.601931.7029731.690651e-07
1.608631.7028611.776103e-07
1.615361.702751.861912e-07
1.622121.7026381.948081e-07
1.628911.7025262.034610e-07
1.635731.7024132.121501e-07
1.642571.70232.208756e-07
1.649451.7021862.296376e-07
1.656351.7020722.384363e-07
1.663281.7019582.472718e-07
1.670241.7018432.561443e-07
1.677231.7017282.650539e-07
1.684251.7016132.740008e-07
1.69131.7014972.829851e-07
1.698381.701382.920070e-07
1.705491.7012633.010667e-07
1.712621.7011463.101643e-07
1.719791.7010283.193000e-07
1.726991.700913.284739e-07
1.734211.7007913.376862e-07
1.741471.7006723.469370e-07
1.748761.7005523.562266e-07
1.756081.7004323.655550e-07
1.763431.7003113.749225e-07
1.770811.700193.843292e-07
1.778221.7000683.937752e-07
1.785661.6999454.032608e-07
1.793131.6998224.127861e-07
1.81.6997094.215400e-07
1.800641.6996984.222133e-07
1.808171.6995744.301855e-07
1.815741.6994494.381911e-07
1.823341.6993244.462302e-07
1.830971.6991984.543029e-07
1.838631.6990724.624094e-07
1.846331.6989444.705498e-07
1.854051.6988164.787243e-07
1.861811.6986884.869330e-07
1.86961.6985594.951761e-07
1.877431.6984295.034537e-07
1.885281.6982985.117659e-07
1.893171.6981675.201128e-07
1.90111.6980355.284948e-07
1.909051.6979035.369118e-07
1.917041.697775.453640e-07
1.925061.6976365.538516e-07
1.933121.6975015.623747e-07
1.941211.6973655.709335e-07
1.949331.6972295.795281e-07
1.957491.6970925.881586e-07
1.965681.6969555.968253e-07
1.973911.6968166.055283e-07
1.982171.6966776.142676e-07
1.990471.6965376.230436e-07
1.99881.6963966.318563e-07
21.6963756.331300e-07
2.007161.6962546.593304e-07
2.015561.6961126.900641e-07
2.0241.6959687.209264e-07
2.032471.6958247.519179e-07
2.040971.6956797.830390e-07
2.049511.6955338.142904e-07
2.058091.6953868.456726e-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
—