Optical constants

Refractive index of J-SF11 (HIKARI)

J-SF11: 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
1.78471
Extinction coefficient k
3.72280e-08
Permittivity ε1
3.1852
Permittivity ε2
1.32883e-07
Absorption coefficient α
0.00796155 cm⁻¹
Penetration depth δ = λ/(2πk)
2.51207e+09 nm
Abbe number Vd
25.638
Chromatic dispersion dn/dλ
-0.153095 µm⁻¹
Group index ng
1.87467
Group velocity dispersion
316.145 fs²/mm
Dispersion parameter D
-1724.74 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-SF11 (HIKARI): J-SF11
hikari_j_sf11 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SF11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sf11.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_sf11.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=3.05304325−0.012733991⁢λ2.0+0.0399774262⁢λ−2.0+0.00316619134⁢λ−4.0−0.000502824259⁢λ−6.0+0.000122491876⁢λ−8.0−1.25325941×10-5⁢λ−10.0+6.19354223×10-7⁢λ−12.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.05304325
C2-0.012733991
C32.0
C40.0399774262
C5-2.0
C60.00316619134
C7-4.0
C8-0.000502824259
C9-6.0
C100.000122491876
C11-8.0
C12-1.25325941e-05
C13-10.0
C146.19354223e-07
C15-12.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -3.7686e-06 1.1024e-08 -1.0898e-12 1.0299e-06 1.5472e-09 0.28946
nd
1.784720
Vd
25.638420
density
value: 3250
thermal expansion
value: 8.6e-06, temperature range: 243 343
dPgF
0.0144
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -3.15e-07 K⁻¹ at 633 nm, dn/dT = -1.84e-06 K⁻¹ at 1310 nm, dn/dT = -1.94e-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-SF11 (HIKARI), J-SF11: n and k versus wavelength
λ (µm)nk
0.3888651.8536721.631469e-06
0.391.8527931.433900e-06
0.3904921.8524161.400243e-06
0.3921271.851181.288535e-06
0.3937681.8499631.176360e-06
0.3954151.8487661.063715e-06
0.397071.8475889.505991e-07
0.3987321.8464298.370096e-07
0.41.8455597.503300e-07
0.4004011.8452877.413938e-07
0.4020761.8441637.040168e-07
0.4037591.8430566.664834e-07
0.4054491.8419656.287929e-07
0.4071451.8408915.909447e-07
0.4088491.8398335.529381e-07
0.410561.8387915.147724e-07
0.4122781.8377634.764470e-07
0.4140041.8367514.379613e-07
0.4157361.8357533.993144e-07
0.4174761.8347693.605059e-07
0.4192231.8337993.215349e-07
0.421.8333743.042100e-07
0.4209781.8328432.975786e-07
0.4227391.8319012.856294e-07
0.4245091.8309712.736303e-07
0.4262851.8300542.615809e-07
0.4280691.829152.494811e-07
0.4298611.8282582.373307e-07
0.431661.8273782.251294e-07
0.4334661.826512.128771e-07
0.435281.8256542.005735e-07
0.4371021.8248081.882184e-07
0.4389311.8239741.758116e-07
0.441.8234941.685600e-07
0.4407681.8231511.666595e-07
0.4426121.8223391.620932e-07
0.4444651.8215371.575078e-07
0.4463251.8207461.529033e-07
0.4481931.8199651.482795e-07
0.4500681.8191931.436363e-07
0.4519521.8184321.389737e-07
0.4538431.817681.342915e-07
0.4557421.8169371.295898e-07
0.457651.8162041.248684e-07
0.4595651.815481.201273e-07
0.461.8153171.190500e-07
0.4614881.8147651.170962e-07
0.4634191.8140591.145606e-07
0.4653591.8133611.120142e-07
0.4673061.8126721.094573e-07
0.4692621.8119911.068896e-07
0.4712261.8113181.043112e-07
0.4731981.8106541.017220e-07
0.4751781.8099979.912199e-08
0.4771671.8093489.651108e-08
0.4791641.8087079.388924e-08
0.481.8084429.279100e-08
0.4811691.8080749.159187e-08
0.4831821.8074488.952596e-08
0.4852051.8068298.745141e-08
0.4872351.8062178.536817e-08
0.4892741.8056138.327621e-08
0.4913221.8050158.117550e-08
0.4933781.8044257.906600e-08
0.4954431.8038417.694767e-08
0.4975161.8032647.482048e-08
0.4995981.8026937.268438e-08
0.51.8025847.227200e-08
0.5016891.8021297.146605e-08
0.5037881.8015717.046412e-08
0.5058971.801026.945799e-08
0.5080141.8004746.844764e-08
0.510141.7999356.743307e-08
0.5122751.7994026.641426e-08
0.5144191.7988746.539118e-08
0.5165711.7983536.436382e-08
0.5187331.7978376.333216e-08
0.5209041.7973276.229618e-08
0.5230841.7968226.125587e-08
0.5252731.7963236.021120e-08
0.5274711.7958295.916216e-08
0.5296791.7953415.810873e-08
0.5318951.7948575.705089e-08
0.5341211.7943795.598863e-08
0.5363571.7939065.492192e-08
0.5386011.7934385.385074e-08
0.5408551.7929765.277509e-08
0.5431191.7925175.169493e-08
0.5453921.7920645.061025e-08
0.5476741.7916164.952103e-08
0.5499661.7911724.842726e-08
0.551.7911654.841100e-08
0.5522681.7907334.773660e-08
0.5545791.7902984.704920e-08
0.55691.7898684.635893e-08
0.559231.7894424.566577e-08
0.561571.7890214.496970e-08
0.5639211.7886034.427073e-08
0.5662811.7881914.356883e-08
0.568651.7877824.286399e-08
0.571031.7873784.215620e-08
0.573421.7869774.144545e-08
0.575821.7865814.073172e-08
0.5782291.7861884.001501e-08
0.5806491.78583.929530e-08
0.5830791.7854153.857258e-08
0.5855191.7850353.784683e-08
0.587971.7846583.711805e-08
0.590431.7842843.638621e-08
0.5929011.7839153.565131e-08
0.5953821.7835493.491334e-08
0.5978741.7831863.417228e-08
0.61.7828813.354000e-08
0.6003761.7828283.363949e-08
0.6028891.7824723.430400e-08
0.6054121.782123.497130e-08
0.6079451.7817723.564139e-08
0.610491.7814273.631428e-08
0.6130441.7810853.698999e-08
0.615611.7807463.766852e-08
0.6181861.7804113.834990e-08
0.6207731.7800793.903412e-08
0.6233711.779753.972121e-08
0.625981.7794244.041118e-08
0.62861.7791014.110403e-08
0.631231.7787814.179979e-08
0.6338721.7784644.249845e-08
0.6365251.778154.320004e-08
0.6391881.7778394.390456e-08
0.6418631.7775314.461203e-08
0.644551.7772264.532247e-08
0.6472471.7769244.603587e-08
0.6499561.7766244.675227e-08
0.651.7766194.676400e-08
0.6526761.7763274.695649e-08
0.6554071.7760334.715298e-08
0.658151.7757424.735030e-08
0.6609041.7754534.754845e-08
0.663671.7751674.774742e-08
0.6664471.7748834.794723e-08
0.6692361.7746024.814787e-08
0.6720371.7743244.834935e-08
0.674851.7740474.855168e-08
0.6776741.7737744.875485e-08
0.680511.7735034.895888e-08
0.6833581.7732344.916375e-08
0.6862171.7729674.936949e-08
0.6890891.7727034.957608e-08
0.6919731.7724424.978354e-08
0.6948691.7721824.999187e-08
0.6977771.7719255.020107e-08
0.71.7717315.036100e-08
0.7006971.771675.054568e-08
0.7036291.7714175.132261e-08
0.7065741.7711675.210279e-08
0.7095311.7709185.288624e-08
0.71251.7706725.367296e-08
0.7154821.7704285.446298e-08
0.7184761.7701855.525630e-08
0.7214831.7699455.605295e-08
0.7245021.7697075.685292e-08
0.7275341.7694715.765625e-08
0.7305791.7692375.846294e-08
0.7336371.7690055.927300e-08
0.7367071.7687756.008645e-08
0.739791.7685476.090331e-08
0.7428861.768326.172359e-08
0.7459951.7680966.254730e-08
0.7491171.7678736.337445e-08
0.7522521.7676526.420507e-08
0.75541.7674336.503917e-08
0.7585611.7672166.587675e-08
0.7617361.7676.671784e-08
0.7649231.7667866.756245e-08
0.7681251.7665746.841059e-08
0.7713391.7663646.926229e-08
0.7745671.7661557.011754e-08
0.7778091.7659487.097638e-08
0.7810641.7657427.183881e-08
0.7843321.7655387.270485e-08
0.7876151.7653367.357452e-08
0.7909111.7651357.444782e-08
0.7942211.7649367.532478e-08
0.7975441.7647397.620541e-08
0.81.7645947.685600e-08
0.8008821.7645437.630450e-08
0.8042341.7643487.420913e-08
0.8075991.7641557.210498e-08
0.8109791.7639636.999203e-08
0.8143731.7637736.787024e-08
0.8177811.7635846.573957e-08
0.8212041.7633976.359999e-08
0.824641.7632116.145144e-08
0.8280911.7630265.929391e-08
0.8315571.7628435.712735e-08
0.8350371.7626615.495172e-08
0.8385311.762485.276699e-08
0.8420411.7623015.057311e-08
0.8455641.7621234.837005e-08
0.8491031.7619464.615778e-08
0.8526561.7617714.393624e-08
0.8562251.7615964.170541e-08
0.8598081.7614233.946524e-08
0.8634061.7612523.721570e-08
0.867021.7610813.495674e-08
0.8706481.7609113.268833e-08
0.8742921.7607433.041042e-08
0.877951.7605762.812299e-08
0.8816251.760412.582598e-08
0.8853141.7602452.351935e-08
0.8890191.7600812.120308e-08
0.892741.7599191.887711e-08
0.8964761.7597571.654140e-08
0.91.7596061.433800e-08
0.9002271.7595971.437790e-08
0.9039951.7594371.503934e-08
0.9077781.7592791.570355e-08
0.9115771.7591211.637053e-08
0.9153921.7589651.704031e-08
0.9192231.7588091.771289e-08
0.9230691.7586551.838829e-08
0.9269321.7585011.906651e-08
0.9308121.7583491.974758e-08
0.9347071.7581972.043149e-08
0.9386191.7580462.111826e-08
0.9425471.7578962.180791e-08
0.9464911.7577482.250044e-08
0.9504521.75762.319587e-08
0.954431.7574522.389422e-08
0.9584241.7573062.459548e-08
0.9624351.7571612.529968e-08
0.9664631.7570162.600683e-08
0.9705071.7568722.671693e-08
0.9745691.7567292.743001e-08
0.9786471.7565872.814607e-08
0.9827431.7564462.886513e-08
0.9868551.7563052.958720e-08
0.9909851.7561653.031229e-08
0.9951321.7560263.104041e-08
0.9992971.7558883.177158e-08
11.7558653.189500e-08
1.003481.755753.150638e-08
1.007681.7556133.103727e-08
1.01191.7554773.056621e-08
1.016131.7553423.009317e-08
1.020381.7552072.961816e-08
1.024651.7550732.914115e-08
1.028941.7549392.866215e-08
1.033251.7548062.818115e-08
1.037571.7546742.769813e-08
1.041911.7545422.721309e-08
1.046271.7544112.672603e-08
1.050651.7542812.623692e-08
1.055051.7541512.574577e-08
1.059461.7540222.525256e-08
1.06391.7538932.475728e-08
1.068351.7537652.425994e-08
1.072821.7536382.376051e-08
1.077311.7535112.325899e-08
1.081821.7533842.275538e-08
1.086351.7532592.224965e-08
1.090891.7531332.174181e-08
1.095461.7530082.123185e-08
1.100041.7528842.071975e-08
1.104651.752762.020550e-08
1.109271.7526361.968911e-08
1.113911.7525131.917055e-08
1.118571.7523911.864983e-08
1.123251.7522691.812692e-08
1.127961.7521471.760183e-08
1.132681.7520261.707454e-08
1.137421.7519051.654504e-08
1.142181.7517841.601333e-08
1.146961.7516641.547939e-08
1.151761.7515451.494321e-08
1.156581.7514251.440480e-08
1.161421.7513061.386413e-08
1.166281.7511881.332119e-08
1.171161.7510691.277599e-08
1.176061.7509511.222850e-08
1.180981.7508341.167872e-08
1.185921.7507161.112665e-08
1.190891.7505991.057226e-08
1.195871.7504831.001555e-08
1.21.7503879.554100e-09
1.200871.7503669.561054e-09
1.20591.750259.601055e-09
1.210951.7501349.641223e-09
1.216011.7500199.681560e-09
1.22111.7499039.722065e-09
1.226211.7497889.762740e-09
1.231341.7496739.803585e-09
1.23651.7495599.844601e-09
1.241671.7494449.885789e-09
1.246871.749339.927149e-09
1.252091.7492169.968682e-09
1.257331.7491021.001039e-08
1.262591.7489891.005227e-08
1.267871.7488751.009433e-08
1.273181.7487621.013656e-08
1.278511.7486491.017897e-08
1.283861.7485361.022156e-08
1.289231.7484231.026432e-08
1.294621.748311.030727e-08
1.300041.7481971.035039e-08
1.305481.7480851.039369e-08
1.310951.7479721.043718e-08
1.316431.747861.048085e-08
1.321941.7477481.052470e-08
1.327471.7476351.056873e-08
1.333031.7475231.061295e-08
1.338611.7474111.065735e-08
1.344211.7472991.070194e-08
1.349841.7471871.074672e-08
1.355481.7470751.079168e-08
1.361161.7469631.083683e-08
1.366851.7468511.088217e-08
1.372571.746741.092770e-08
1.378321.7466281.097342e-08
1.384091.7465161.101933e-08
1.389881.7464041.106544e-08
1.395691.7462921.111173e-08
1.41.7462091.114600e-08
1.401541.746181.204292e-08
1.40741.7460681.546868e-08
1.413291.7459561.890878e-08
1.419211.7458432.236327e-08
1.425141.7457312.583222e-08
1.431111.7456192.931568e-08
1.43711.7455073.281373e-08
1.443111.7453943.632641e-08
1.449151.7452823.985380e-08
1.455221.7451694.339594e-08
1.461311.7450564.695291e-08
1.467421.7449435.052477e-08
1.473561.744835.411157e-08
1.479731.7447175.771339e-08
1.485921.7446036.133027e-08
1.492141.744496.496230e-08
1.498381.7443766.860952e-08
1.504661.7442627.227201e-08
1.510951.7441487.594982e-08
1.517281.7440347.964302e-08
1.523631.7439198.335169e-08
1.531.7438058.707587e-08
1.53641.743699.081563e-08
1.542831.7435759.457105e-08
1.549291.7434599.834219e-08
1.555771.7433431.021291e-07
1.562291.7432281.059319e-07
1.568821.7431111.097505e-07
1.575391.7429951.135852e-07
1.581981.7428781.174359e-07
1.58861.7427611.213027e-07
1.595251.7426441.251857e-07
1.61.742561.279600e-07
1.601931.7425261.305034e-07
1.608631.7424081.393560e-07
1.615361.742291.482456e-07
1.622121.7421721.571724e-07
1.628911.7420531.661366e-07
1.635731.7419331.751382e-07
1.642571.7418141.841776e-07
1.649451.7416941.932548e-07
1.656351.7415732.023699e-07
1.663281.7414532.115233e-07
1.670241.7413312.207149e-07
1.677231.741212.299450e-07
1.684251.7410882.392137e-07
1.69131.7409652.485212e-07
1.698381.7408432.578676e-07
1.705491.7407192.672532e-07
1.712621.7405962.766780e-07
1.719791.7404712.861423e-07
1.726991.7403472.956462e-07
1.734211.7402223.051899e-07
1.741471.7400963.147735e-07
1.748761.739973.243972e-07
1.756081.7398433.340612e-07
1.763431.7397163.437656e-07
1.770811.7395893.535107e-07
1.778221.739463.632965e-07
1.785661.7393323.731233e-07
1.793131.7392023.829912e-07
1.81.7390843.920600e-07
1.800641.7390733.926693e-07
1.808171.7389423.998834e-07
1.815741.7388114.071277e-07
1.823341.738684.144024e-07
1.830971.7385484.217075e-07
1.838631.7384154.290431e-07
1.846331.7382814.364095e-07
1.854051.7381474.438067e-07
1.861811.7380134.512348e-07
1.86961.7378774.586941e-07
1.877431.7377414.661845e-07
1.885281.7376054.737063e-07
1.893171.7374684.812596e-07
1.90111.737334.888445e-07
1.909051.7371914.964611e-07
1.917041.7370525.041096e-07
1.925061.7369125.117901e-07
1.933121.7367715.195028e-07
1.941211.7366295.272477e-07
1.949331.7364875.350250e-07
1.957491.7363445.428349e-07
1.965681.73625.506775e-07
1.973911.7360555.585529e-07
1.982171.735915.664612e-07
1.990471.7357645.744027e-07
1.99881.7356175.823774e-07
21.7355965.835300e-07
2.007161.7354696.074533e-07
2.015561.735326.355158e-07
2.0241.7351716.636958e-07
2.032471.7350216.919937e-07
2.040971.7348697.204100e-07
2.049511.7347177.489453e-07
2.058091.7345647.776000e-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
—