Optical constants

Refractive index of J-SFS3 (HIKARI)

J-SFS3: 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
1.78469
Extinction coefficient k
5.17206e-08
Permittivity ε1
3.18513
Permittivity ε2
1.84611e-07
Absorption coefficient α
0.0110609 cm⁻¹
Penetration depth δ = λ/(2πk)
1.80817e+09 nm
Abbe number Vd
26.268
Chromatic dispersion dn/dλ
-0.149579 µm⁻¹
Group index ng
1.87259
Group velocity dispersion
307.527 fs²/mm
Dispersion parameter D
-1677.72 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-SFS3 (HIKARI): J-SFS3
hikari_j_sfs3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SFS3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sfs3.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_sfs3.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=3.05623339−0.0128486167⁢λ2.0+0.0387408706⁢λ−2.0+0.00339109066⁢λ−4.0−0.000605526065⁢λ−6.0+0.000141221664⁢λ−8.0−1.44464234×10-5⁢λ−10.0+6.88155857×10-7⁢λ−12.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.05623339
C2-0.0128486167
C32.0
C40.0387408706
C5-2.0
C60.00339109066
C7-4.0
C8-0.000605526065
C9-6.0
C100.000141221664
C11-8.0
C12-1.44464234e-05
C13-10.0
C146.88155857e-07
C15-12.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -4.097e-06 1.0254e-08 -1.1078e-12 9.8475e-07 1.5745e-09 0.28971
nd
1.784700
Vd
26.268169
density
value: 3280
thermal expansion
value: 8.4e-06, temperature range: 243 343
dPgF
0.0128
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -6.01e-07 K⁻¹ at 633 nm, dn/dT = -2.06e-06 K⁻¹ at 1310 nm, dn/dT = -2.15e-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-SFS3 (HIKARI), J-SFS3: n and k versus wavelength
λ (µm)nk
0.3888651.8516481.335109e-06
0.391.85081.196900e-06
0.3904921.8504361.170994e-06
0.3921271.8492441.085011e-06
0.3937681.8480719.986691e-07
0.3954151.8469169.119654e-07
0.397071.8457798.248990e-07
0.3987321.844667.374681e-07
0.41.843826.707500e-07
0.4004011.8435576.634811e-07
0.4020761.8424716.330782e-07
0.4037591.8414026.025480e-07
0.4054491.8403485.718901e-07
0.4071451.839315.411038e-07
0.4088491.8382875.101888e-07
0.410561.8372794.791443e-07
0.4122781.8362854.479699e-07
0.4140041.8353054.166651e-07
0.4157361.834343.852292e-07
0.4174761.8333883.536618e-07
0.4192231.8324493.219623e-07
0.421.8320373.078700e-07
0.4209781.8315233.019601e-07
0.4227391.830612.913112e-07
0.4245091.829712.806176e-07
0.4262851.8288212.698794e-07
0.4280691.8279452.590961e-07
0.4298611.827082.482678e-07
0.431661.8262272.373941e-07
0.4334661.8253862.264750e-07
0.435281.8245552.155101e-07
0.4371021.8237352.044994e-07
0.4389311.8229261.934425e-07
0.441.822461.869800e-07
0.4407681.8221281.851002e-07
0.4426121.8213391.805837e-07
0.4444651.8205611.760484e-07
0.4463251.8197931.714941e-07
0.4481931.8190341.669207e-07
0.4500681.8182851.623281e-07
0.4519521.8175451.577164e-07
0.4538431.8168151.530853e-07
0.4557421.8160931.484349e-07
0.457651.8153811.437650e-07
0.4595651.8146771.390755e-07
0.461.8145191.380100e-07
0.4614881.8139821.358129e-07
0.4634191.8132951.329613e-07
0.4653591.8126171.300978e-07
0.4673061.8119471.272224e-07
0.4692621.8112851.243348e-07
0.4712261.8106311.214353e-07
0.4731981.8099841.185235e-07
0.4751781.8093451.155996e-07
0.4771671.8087141.126635e-07
0.4791641.808091.097150e-07
0.481.8078321.084800e-07
0.4811691.8074741.070755e-07
0.4831821.8068641.046556e-07
0.4852051.8062621.022257e-07
0.4872351.8056679.978561e-08
0.4892741.8050789.733529e-08
0.4913221.8044969.487471e-08
0.4933781.8039219.240385e-08
0.4954431.8033538.992264e-08
0.4975161.8027918.743104e-08
0.4995981.8022358.492902e-08
0.51.8021288.444600e-08
0.5016891.8016858.322886e-08
0.5037881.8011428.171573e-08
0.5058971.8006048.019626e-08
0.5080141.8000737.867044e-08
0.510141.7995477.713823e-08
0.5122751.7990277.559961e-08
0.5144191.7985137.405455e-08
0.5165711.7980057.250302e-08
0.5187331.7975027.094501e-08
0.5209041.7970056.938047e-08
0.5230841.7965126.780938e-08
0.5252731.7960266.623172e-08
0.5274711.7955446.464745e-08
0.5296791.7950686.305656e-08
0.5318951.7945966.145901e-08
0.5341211.794135.985477e-08
0.5363571.7936695.824382e-08
0.5386011.7932125.662613e-08
0.5408551.792765.500167e-08
0.5431191.7923135.337041e-08
0.5453921.7918715.173232e-08
0.5476741.7914335.008738e-08
0.5499661.7914.843555e-08
0.551.7909944.841100e-08
0.5522681.7905724.861059e-08
0.5545791.7901474.881402e-08
0.55691.7897274.901830e-08
0.559231.7893124.922344e-08
0.561571.78894.942943e-08
0.5639211.7884934.963629e-08
0.5662811.788094.984402e-08
0.568651.7876915.005261e-08
0.571031.7872965.026208e-08
0.573421.7869055.047242e-08
0.575821.7865185.068364e-08
0.5782291.7861355.089575e-08
0.5806491.7857555.110875e-08
0.5830791.7853795.132263e-08
0.5855191.7850075.153741e-08
0.587971.7846395.175309e-08
0.590431.7842745.196968e-08
0.5929011.7839135.218717e-08
0.5953821.7835565.240557e-08
0.5978741.7832015.262488e-08
0.61.7829035.281200e-08
0.6003761.7828515.288448e-08
0.6028891.7825035.336860e-08
0.6054121.7821595.385474e-08
0.6079451.7818195.434291e-08
0.610491.7814815.483313e-08
0.6130441.7811475.532540e-08
0.615611.7808165.581973e-08
0.6181861.7804885.631613e-08
0.6207731.7801635.681460e-08
0.6233711.7798425.731516e-08
0.625981.7795235.781782e-08
0.62861.7792075.832258e-08
0.631231.7788955.882945e-08
0.6338721.7785855.933844e-08
0.6365251.7782785.984957e-08
0.6391881.7779746.036283e-08
0.6418631.7776726.087824e-08
0.644551.7773746.139581e-08
0.6472471.7770786.191554e-08
0.6499561.7767856.243745e-08
0.651.776786.244600e-08
0.6526761.7764946.210025e-08
0.6554071.7762076.174730e-08
0.658151.7759216.139287e-08
0.6609041.7756396.103696e-08
0.663671.7753596.067956e-08
0.6664471.7750816.032066e-08
0.6692361.7748065.996026e-08
0.6720371.7745335.959836e-08
0.674851.7742635.923493e-08
0.6776741.7739955.886999e-08
0.680511.773735.850352e-08
0.6833581.7734675.813552e-08
0.6862171.7732065.776598e-08
0.6890891.7729475.739489e-08
0.6919731.7726915.702224e-08
0.6948691.7724375.664804e-08
0.6977771.7721855.627227e-08
0.71.7719955.598500e-08
0.7006971.7719355.608559e-08
0.7036291.7716885.650876e-08
0.7065741.7714425.693370e-08
0.7095311.7711995.736042e-08
0.71251.7709585.778892e-08
0.7154821.7707195.821922e-08
0.7184761.7704815.865132e-08
0.7214831.7702465.908523e-08
0.7245021.7700135.952095e-08
0.7275341.7697825.995850e-08
0.7305791.7695526.039787e-08
0.7336371.7693256.083909e-08
0.7367071.7690996.128215e-08
0.739791.7688766.172707e-08
0.7428861.7686546.217385e-08
0.7459951.7684346.262250e-08
0.7491171.7682166.307302e-08
0.7522521.7679996.352543e-08
0.75541.7677846.397974e-08
0.7585611.7675716.443594e-08
0.7617361.767366.489406e-08
0.7649231.767156.535409e-08
0.7681251.7669436.581605e-08
0.7713391.7667366.627994e-08
0.7745671.7665326.674577e-08
0.7778091.7663296.721356e-08
0.7810641.7661276.768329e-08
0.7843321.7659276.815500e-08
0.7876151.7657296.862868e-08
0.7909111.7655326.910434e-08
0.7942211.7653376.958199e-08
0.7975441.7651437.006164e-08
0.81.7650017.041600e-08
0.8008821.7649517.004805e-08
0.8042341.764766.865005e-08
0.8075991.764576.724620e-08
0.8109791.7643826.583647e-08
0.8143731.7641966.442085e-08
0.8177811.764016.299930e-08
0.8212041.7638276.157180e-08
0.824641.7636446.013833e-08
0.8280911.7634635.869886e-08
0.8315571.7632835.725336e-08
0.8350371.7631055.580182e-08
0.8385311.7629275.434420e-08
0.8420411.7627515.288048e-08
0.8455641.7625775.141064e-08
0.8491031.7624034.993464e-08
0.8526561.7622314.845247e-08
0.8562251.762064.696409e-08
0.8598081.761894.546949e-08
0.8634061.7617214.396863e-08
0.867021.7615544.246149e-08
0.8706481.7613884.094804e-08
0.8742921.7612223.942826e-08
0.877951.7610583.790212e-08
0.8816251.7608953.636959e-08
0.8853141.7607333.483065e-08
0.8890191.7605733.328527e-08
0.892741.7604133.173342e-08
0.8964761.7602543.017508e-08
0.91.7601062.870500e-08
0.9002271.7600962.876680e-08
0.9039951.759942.979134e-08
0.9077781.7597843.082017e-08
0.9115771.7596293.185330e-08
0.9153921.7594763.289076e-08
0.9192231.7593233.393256e-08
0.9230691.7591713.497872e-08
0.9269321.759023.602925e-08
0.9308121.758873.708419e-08
0.9347071.7587213.814354e-08
0.9386191.7585733.920732e-08
0.9425471.7584264.027555e-08
0.9464911.758284.134825e-08
0.9504521.7581344.242545e-08
0.954431.7579894.350715e-08
0.9584241.7578464.459337e-08
0.9624351.7577034.568415e-08
0.9664631.757564.677949e-08
0.9705071.7574194.787941e-08
0.9745691.7572784.898393e-08
0.9786471.7571395.009308e-08
0.9827431.7575.120687e-08
0.9868551.7568615.232532e-08
0.9909851.7567245.344845e-08
0.9951321.7565875.457628e-08
0.9992971.7564515.570883e-08
11.7564285.590000e-08
1.003481.7563155.559339e-08
1.007681.7561815.522329e-08
1.01191.7560465.485164e-08
1.016131.7559135.447844e-08
1.020381.755785.410367e-08
1.024651.7556485.372734e-08
1.028941.7555175.334943e-08
1.033251.7553865.296993e-08
1.037571.7552565.258885e-08
1.041911.7551265.220618e-08
1.046271.7549975.182190e-08
1.050651.7548695.143602e-08
1.055051.7547415.104852e-08
1.059461.7546145.065940e-08
1.06391.7544875.026865e-08
1.068351.7543614.987627e-08
1.072821.7542354.948224e-08
1.077311.754114.908656e-08
1.081821.7539864.868923e-08
1.086351.7538624.829024e-08
1.090891.7537384.788958e-08
1.095461.7536154.748724e-08
1.100041.7534924.708321e-08
1.104651.753374.667750e-08
1.109271.7532484.627008e-08
1.113911.7531274.586096e-08
1.118571.7530064.545013e-08
1.123251.7528864.503758e-08
1.127961.7527654.462331e-08
1.132681.7526464.420730e-08
1.137421.7525274.378955e-08
1.142181.7524084.337005e-08
1.146961.7522894.294879e-08
1.151761.7521714.252578e-08
1.156581.7520534.210099e-08
1.161421.7519364.167442e-08
1.166281.7518194.124607e-08
1.171161.7517024.081593e-08
1.176061.7515864.038399e-08
1.180981.7514693.995024e-08
1.185921.7513543.951467e-08
1.190891.7512383.907728e-08
1.195871.7511233.863806e-08
1.21.7510283.827400e-08
1.200871.7510083.844867e-08
1.20591.7508933.945343e-08
1.210951.7507784.046240e-08
1.216011.7506644.147559e-08
1.22111.750554.249302e-08
1.226211.7504364.351470e-08
1.231341.7503234.454067e-08
1.23651.7502094.557092e-08
1.241671.7500964.660549e-08
1.246871.7499834.764439e-08
1.252091.749874.868763e-08
1.257331.7497584.973525e-08
1.262591.7496455.078724e-08
1.267871.7495335.184364e-08
1.273181.7494215.290446e-08
1.278511.7493095.396972e-08
1.283861.7491975.503943e-08
1.289231.7490855.611362e-08
1.294621.7489735.719231e-08
1.300041.7488625.827552e-08
1.305481.748755.936325e-08
1.310951.7486396.045554e-08
1.316431.7485286.155240e-08
1.321941.7484166.265385e-08
1.327471.7483056.375991e-08
1.333031.7481946.487059e-08
1.338611.7480836.598593e-08
1.344211.7479726.710593e-08
1.349841.7478616.823062e-08
1.355481.747756.936002e-08
1.361161.7476397.049414e-08
1.366851.7475287.163301e-08
1.372571.7474177.277665e-08
1.378321.7473067.392507e-08
1.384091.7471957.507830e-08
1.389881.7470847.623635e-08
1.395691.7469737.739925e-08
1.41.7468917.826000e-08
1.401541.7468627.883932e-08
1.40741.746758.105201e-08
1.413291.7466398.327397e-08
1.419211.7465288.550522e-08
1.425141.7464168.774581e-08
1.431111.7463058.999577e-08
1.43711.7461939.225516e-08
1.443111.7460819.452399e-08
1.449151.7459699.680233e-08
1.455221.7458579.909019e-08
1.461311.7457451.013876e-07
1.467421.7456331.036947e-07
1.473561.745521.060114e-07
1.479731.7454081.083378e-07
1.485921.7452951.106740e-07
1.492141.7451821.130199e-07
1.498381.7450691.153756e-07
1.504661.7449561.177412e-07
1.510951.7448421.201167e-07
1.517281.7447291.225021e-07
1.523631.7446151.248976e-07
1.531.74451.273030e-07
1.53641.7443861.297185e-07
1.542831.7442711.321441e-07
1.549291.7441561.345799e-07
1.555771.7440411.370259e-07
1.562291.7439261.394821e-07
1.568821.743811.419485e-07
1.575391.7436941.444253e-07
1.581981.7435781.469125e-07
1.58861.7434611.494101e-07
1.595251.7433441.519181e-07
1.61.7432611.537100e-07
1.601931.7432271.555808e-07
1.608631.743111.620924e-07
1.615361.7429921.686312e-07
1.622121.7428731.751973e-07
1.628911.7427551.817910e-07
1.635731.7426361.884122e-07
1.642571.7425161.950611e-07
1.649451.7423972.017379e-07
1.656351.7422772.084426e-07
1.663281.7421562.151753e-07
1.670241.7420352.219363e-07
1.677231.7419142.287255e-07
1.684251.7417922.355432e-07
1.69131.741672.423893e-07
1.698381.7415472.492642e-07
1.705491.7414242.561678e-07
1.712621.7413012.631003e-07
1.719791.7411772.700618e-07
1.726991.7410522.770524e-07
1.734211.7409272.840723e-07
1.741471.7408022.911215e-07
1.748761.7406762.982003e-07
1.756081.7405493.053087e-07
1.763431.7404223.124468e-07
1.770811.7402943.196149e-07
1.778221.7401663.268129e-07
1.785661.7400383.340410e-07
1.793131.7399083.412994e-07
1.81.7397893.479700e-07
1.800641.7397783.485622e-07
1.808171.7396483.555740e-07
1.815741.7395173.626151e-07
1.823341.7393853.696858e-07
1.830971.7392533.767860e-07
1.838631.739123.839159e-07
1.846331.7389873.910757e-07
1.854051.7388533.982654e-07
1.861811.7387184.054852e-07
1.86961.7385834.127352e-07
1.877431.7384474.200156e-07
1.885281.738314.273264e-07
1.893171.7381724.346679e-07
1.90111.7380344.420400e-07
1.909051.7378954.494431e-07
1.917041.7377564.568770e-07
1.925061.7376164.643421e-07
1.933121.7374744.718385e-07
1.941211.7373334.793662e-07
1.949331.737194.869254e-07
1.957491.7370474.945163e-07
1.965681.7369035.021389e-07
1.973911.7367585.097934e-07
1.982171.7366125.174800e-07
1.990471.7364665.251987e-07
1.99881.7363185.329497e-07
21.7362975.340700e-07
2.007161.736175.584179e-07
2.015561.7360215.869786e-07
2.0241.7358716.156587e-07
2.032471.7357216.444589e-07
2.040971.7355696.733797e-07
2.049511.7354167.024214e-07
2.058091.7352637.315847e-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
—