Optical constants

Refractive index of J-LASF021 (HIKARI)

J-LASF021: 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
1.85025
Extinction coefficient k
4.33699e-08
Permittivity ε1
3.42344
Permittivity ε2
1.60491e-07
Absorption coefficient α
0.00927505 cm⁻¹
Penetration depth δ = λ/(2πk)
2.15632e+09 nm
Abbe number Vd
32.353
Chromatic dispersion dn/dλ
-0.132645 µm⁻¹
Group index ng
1.9282
Group velocity dispersion
263.147 fs²/mm
Dispersion parameter D
-1435.6 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-LASF021 (HIKARI): J-LASF021
hikari_j_lasf021 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LASF021", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lasf021.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_lasf021.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=3.30477446−0.0145925795⁢λ2.0+0.0359916632⁢λ−2.0+0.00349591839⁢λ−4.0−0.000743189237⁢λ−6.0+0.000155265866⁢λ−8.0−1.52961037×10-5⁢λ−10.0+6.59677491×10-7⁢λ−12.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.30477446
C2-0.0145925795
C32.0
C40.0359916632
C5-2.0
C60.00349591839
C7-4.0
C8-0.000743189237
C9-6.0
C100.000155265866
C11-8.0
C12-1.52961037e-05
C13-10.0
C146.59677491e-07
C15-12.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.4e-24 1.07083e-08 5.22924e-12 9.54235e-07 1.33297e-09 0.25775
nd
1.850260
Vd
32.352867
density
value: 4370
thermal expansion
value: 7e-06, temperature range: 243 343
dPgF
0.0046
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.86e-06 K⁻¹ at 633 nm, dn/dT = 3.66e-07 K⁻¹ at 1310 nm, dn/dT = 2.58e-07 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-LASF021 (HIKARI), J-LASF021: n and k versus wavelength
λ (µm)nk
0.3888651.9071441.052811e-06
0.391.9064569.767100e-07
0.3904921.906169.597222e-07
0.3921271.905199.033397e-07
0.3937681.9042338.467212e-07
0.3954151.903297.898657e-07
0.397071.902367.327723e-07
0.3987321.9014436.754400e-07
0.41.9007546.316900e-07
0.4004011.9005386.260903e-07
0.4020761.8996466.026690e-07
0.4037591.8987665.791496e-07
0.4054491.8978975.555318e-07
0.4071451.897045.318151e-07
0.4088491.8961945.079993e-07
0.410561.8953594.840837e-07
0.4122781.8945354.600681e-07
0.4140041.8937224.359519e-07
0.4157361.8929194.117348e-07
0.4174761.8921263.874164e-07
0.4192231.8913443.629962e-07
0.421.8913.521400e-07
0.4209781.8905713.462463e-07
0.4227391.8898083.356264e-07
0.4245091.8890553.249620e-07
0.4262851.888313.142531e-07
0.4280691.8875753.034993e-07
0.4298611.8868492.927005e-07
0.431661.8861322.818565e-07
0.4334661.8854242.709672e-07
0.435281.8847242.600322e-07
0.4371021.8840332.490515e-07
0.4389311.8833492.380249e-07
0.441.8829552.315800e-07
0.4407681.8826742.290135e-07
0.4426121.8820072.228470e-07
0.4444651.8813482.166548e-07
0.4463251.8806962.104366e-07
0.4481931.8800532.041925e-07
0.4500681.8794161.979222e-07
0.4519521.8787871.916256e-07
0.4538431.8781661.853027e-07
0.4557421.8775511.789533e-07
0.457651.8769431.725774e-07
0.4595651.8763431.661748e-07
0.461.8762081.647200e-07
0.4614881.8757491.614143e-07
0.4634191.8751621.571239e-07
0.4653591.8745811.528156e-07
0.4673061.8740071.484892e-07
0.4692621.873441.441448e-07
0.4712261.8728791.397821e-07
0.4731981.8723241.354012e-07
0.4751781.8717751.310020e-07
0.4771671.8712321.265843e-07
0.4791641.8706951.221482e-07
0.481.8704721.202900e-07
0.4811691.8701641.184329e-07
0.4831821.8696391.152334e-07
0.4852051.8691191.120205e-07
0.4872351.8686051.087942e-07
0.4892741.8680971.055543e-07
0.4913221.8675941.023010e-07
0.4933781.8670969.903394e-08
0.4954431.8666049.575326e-08
0.4975161.8661179.245885e-08
0.4995981.8656358.915065e-08
0.51.8655438.851200e-08
0.5016891.8651588.700813e-08
0.5037881.8646878.513854e-08
0.5058971.864228.326112e-08
0.5080141.8637588.137585e-08
0.510141.8633017.948269e-08
0.5122751.8628487.758161e-08
0.5144191.86247.567257e-08
0.5165711.8619577.375554e-08
0.5187331.8615197.183049e-08
0.5209041.8610856.989738e-08
0.5230841.8606556.795618e-08
0.5252731.860236.600686e-08
0.5274711.8598096.404938e-08
0.5296791.8593926.208371e-08
0.5318951.8589796.010981e-08
0.5341211.8585715.812766e-08
0.5363571.8581675.613720e-08
0.5386011.8577675.413842e-08
0.5408551.857375.213127e-08
0.5431191.8569785.011573e-08
0.5453921.8565894.809174e-08
0.5476741.8562054.605929e-08
0.5499661.8558244.401833e-08
0.551.8558184.398800e-08
0.5522681.8554474.395072e-08
0.5545791.8550734.391273e-08
0.55691.8547034.387457e-08
0.559231.8543374.383626e-08
0.561571.8539744.379778e-08
0.5639211.8536154.375914e-08
0.5662811.8532594.372035e-08
0.568651.8529074.368139e-08
0.571031.8525584.364226e-08
0.573421.8522124.360298e-08
0.575821.851874.356353e-08
0.5782291.8515314.352391e-08
0.5806491.8511954.348413e-08
0.5830791.8508624.344418e-08
0.5855191.8505334.340406e-08
0.587971.8502064.336378e-08
0.590431.8498824.332333e-08
0.5929011.8495624.328270e-08
0.5953821.8492444.324191e-08
0.5978741.848934.320095e-08
0.61.8486654.316600e-08
0.6003761.8486184.319307e-08
0.6028891.8483094.337387e-08
0.6054121.8480034.355543e-08
0.6079451.84774.373775e-08
0.610491.84744.392083e-08
0.6130441.8471024.410468e-08
0.615611.8468074.428929e-08
0.6181861.8465144.447468e-08
0.6207731.8462254.466085e-08
0.6233711.8459374.484779e-08
0.625981.8456534.503552e-08
0.62861.8453714.522403e-08
0.631231.8450914.541333e-08
0.6338721.8448144.560342e-08
0.6365251.844544.579431e-08
0.6391881.8442674.598600e-08
0.6418631.8439984.617849e-08
0.644551.843734.637179e-08
0.6472471.8434654.656589e-08
0.6499561.8432024.676081e-08
0.651.8431984.676400e-08
0.6526761.8429424.635548e-08
0.6554071.8426844.593845e-08
0.658151.8424284.551968e-08
0.6609041.8421744.509915e-08
0.663671.8419224.467686e-08
0.6664471.8416734.425281e-08
0.6692361.8414254.382698e-08
0.6720371.841184.339936e-08
0.674851.8409374.296996e-08
0.6776741.8406954.253877e-08
0.680511.8404564.210576e-08
0.6833581.8402194.167095e-08
0.6862171.8399844.123431e-08
0.6890891.8397514.079585e-08
0.6919731.839524.035555e-08
0.6948691.839293.991342e-08
0.6977771.8390633.946943e-08
0.71.8388913.913000e-08
0.7006971.8388373.921367e-08
0.7036291.8386133.956567e-08
0.7065741.8383913.991915e-08
0.7095311.8381714.027410e-08
0.71251.8379534.063054e-08
0.7154821.8377364.098847e-08
0.7184761.8375224.134790e-08
0.7214831.8373084.170883e-08
0.7245021.8370974.207127e-08
0.7275341.8368874.243523e-08
0.7305791.8366794.280072e-08
0.7336371.8364734.316773e-08
0.7367071.8362684.353628e-08
0.739791.8360654.390637e-08
0.7428861.8358634.427801e-08
0.7459951.8356634.465120e-08
0.7491171.8354644.502596e-08
0.7522521.8352674.540229e-08
0.75541.8350724.578019e-08
0.7585611.8348784.615967e-08
0.7617361.8346854.654074e-08
0.7649231.8344944.692340e-08
0.7681251.8343044.730767e-08
0.7713391.8341164.769354e-08
0.7745671.8339294.808103e-08
0.7778091.8337444.847014e-08
0.7810641.833564.886088e-08
0.7843321.8333774.925325e-08
0.7876151.8331964.964727e-08
0.7909111.8330165.004294e-08
0.7942211.8328375.044026e-08
0.7975441.8326595.083924e-08
0.81.832535.113400e-08
0.8008821.8324835.093614e-08
0.8042341.8323085.018441e-08
0.8075991.8321354.942952e-08
0.8109791.8319624.867148e-08
0.8143731.8317914.791026e-08
0.8177811.8316214.714586e-08
0.8212041.8314524.637826e-08
0.824641.8312844.560745e-08
0.8280911.8311184.483341e-08
0.8315571.8309524.405614e-08
0.8350371.8307884.327561e-08
0.8385311.8306254.249181e-08
0.8420411.8304624.170473e-08
0.8455641.8303014.091436e-08
0.8491031.8301414.012068e-08
0.8526561.8299823.932368e-08
0.8562251.8298253.852335e-08
0.8598081.8296683.771967e-08
0.8634061.8295123.691262e-08
0.867021.8293573.610219e-08
0.8706481.8292033.528838e-08
0.8742921.829053.447115e-08
0.877951.8288983.365051e-08
0.8816251.8287473.282643e-08
0.8853141.8285973.199891e-08
0.8890191.8284483.116792e-08
0.892741.82833.033345e-08
0.8964761.8281522.949549e-08
0.91.8280152.870500e-08
0.9002271.8280062.876680e-08
0.9039951.827862.979134e-08
0.9077781.8277153.082017e-08
0.9115771.8275723.185330e-08
0.9153921.8274283.289076e-08
0.9192231.8272863.393256e-08
0.9230691.8271453.497872e-08
0.9269321.8270043.602925e-08
0.9308121.8268643.708419e-08
0.9347071.8267253.814354e-08
0.9386191.8265873.920732e-08
0.9425471.8264494.027555e-08
0.9464911.8263124.134825e-08
0.9504521.8261764.242545e-08
0.954431.8260414.350715e-08
0.9584241.8259064.459337e-08
0.9624351.8257724.568415e-08
0.9664631.8256384.677949e-08
0.9705071.8255064.787941e-08
0.9745691.8253744.898393e-08
0.9786471.8252425.009308e-08
0.9827431.8251125.120687e-08
0.9868551.8249815.232532e-08
0.9909851.8248525.344845e-08
0.9951321.8247235.457628e-08
0.9992971.8245955.570883e-08
11.8245735.590000e-08
1.003481.8244675.559339e-08
1.007681.824345.522329e-08
1.01191.8242135.485164e-08
1.016131.8240875.447844e-08
1.020381.8239625.410367e-08
1.024651.8238375.372734e-08
1.028941.8237125.334943e-08
1.033251.8235885.296993e-08
1.037571.8234655.258885e-08
1.041911.8233425.220618e-08
1.046271.8232195.182190e-08
1.050651.8230975.143602e-08
1.055051.8229765.104852e-08
1.059461.8228545.065940e-08
1.06391.8227345.026865e-08
1.068351.8226144.987627e-08
1.072821.8224944.948224e-08
1.077311.8223744.908656e-08
1.081821.8222554.868923e-08
1.086351.8221374.829024e-08
1.090891.8220184.788958e-08
1.095461.8219014.748724e-08
1.100041.8217834.708321e-08
1.104651.8216664.667750e-08
1.109271.8215494.627008e-08
1.113911.8214334.586096e-08
1.118571.8213174.545013e-08
1.123251.8212014.503758e-08
1.127961.8210854.462331e-08
1.132681.820974.420730e-08
1.137421.8208554.378955e-08
1.142181.820744.337005e-08
1.146961.8206264.294879e-08
1.151761.8205124.252578e-08
1.156581.8203984.210099e-08
1.161421.8202844.167442e-08
1.166281.8201714.124607e-08
1.171161.8200584.081593e-08
1.176061.8199454.038399e-08
1.180981.8198323.995024e-08
1.185921.819723.951467e-08
1.190891.8196073.907728e-08
1.195871.8194953.863806e-08
1.21.8194033.827400e-08
1.200871.8193833.820424e-08
1.20591.8192713.780295e-08
1.210951.819163.739998e-08
1.216011.8190483.699532e-08
1.22111.8189373.658897e-08
1.226211.8188263.618092e-08
1.231341.8187143.577116e-08
1.23651.8186033.535968e-08
1.241671.8184923.494649e-08
1.246871.8183823.453156e-08
1.252091.8182713.411490e-08
1.257331.818163.369650e-08
1.262591.818053.327634e-08
1.267871.8179393.285442e-08
1.273181.8178293.243074e-08
1.278511.8177183.200529e-08
1.283861.8176083.157806e-08
1.289231.8174973.114904e-08
1.294621.8173873.071822e-08
1.300041.8172773.028560e-08
1.305481.8171662.985117e-08
1.310951.8170562.941492e-08
1.316431.8169462.897685e-08
1.321941.8168352.853694e-08
1.327471.8167252.809519e-08
1.333031.8166142.765159e-08
1.338611.8165042.720614e-08
1.344211.8163932.675882e-08
1.349841.8162832.630963e-08
1.355481.8161722.585856e-08
1.361161.8160612.540560e-08
1.366851.815952.495075e-08
1.372571.8158392.449399e-08
1.378321.8157282.403533e-08
1.384091.8156172.357474e-08
1.389881.8155062.311222e-08
1.395691.8153942.264777e-08
1.41.8153122.230400e-08
1.401541.8152832.321407e-08
1.40741.8151712.669003e-08
1.413291.8150593.018055e-08
1.419211.8149473.368567e-08
1.425141.8148353.720546e-08
1.431111.8147224.073998e-08
1.43711.814614.428929e-08
1.443111.8144974.785345e-08
1.449151.8143845.143253e-08
1.455221.814275.502659e-08
1.461311.8141575.863569e-08
1.467421.8140436.225989e-08
1.473561.8139296.589927e-08
1.479731.8138156.955387e-08
1.485921.8137017.322376e-08
1.492141.8135867.690902e-08
1.498381.8134718.060969e-08
1.504661.8133558.432585e-08
1.510951.813248.805757e-08
1.517281.8131249.180490e-08
1.523631.8130089.556792e-08
1.531.8128919.934668e-08
1.53641.8127741.031413e-07
1.542831.8126571.069517e-07
1.549291.812541.107781e-07
1.555771.8124221.146205e-07
1.562291.8123041.184790e-07
1.568821.8121851.223537e-07
1.575391.8120661.262445e-07
1.581981.8119461.301517e-07
1.58861.8118271.340752e-07
1.595251.8117061.380151e-07
1.61.8116211.408300e-07
1.601931.8115861.422606e-07
1.608631.8114651.472400e-07
1.615361.8113431.522402e-07
1.622121.8112211.572613e-07
1.628911.8110991.623034e-07
1.635731.8109761.673666e-07
1.642571.8108531.724511e-07
1.649451.8107291.775568e-07
1.656351.8106051.826838e-07
1.663281.810481.878324e-07
1.670241.8103551.930024e-07
1.677231.8102291.981941e-07
1.684251.8101032.034076e-07
1.69131.8099762.086428e-07
1.698381.8098482.139000e-07
1.705491.8097212.191791e-07
1.712621.8095922.244804e-07
1.719791.8094632.298038e-07
1.726991.8093332.351495e-07
1.734211.8092032.405176e-07
1.741471.8090722.459082e-07
1.748761.8089412.513213e-07
1.756081.8088092.567570e-07
1.763431.8086762.622156e-07
1.770811.8085432.676969e-07
1.778221.8084092.732012e-07
1.785661.8082742.787285e-07
1.793131.8081392.842790e-07
1.81.8080142.893800e-07
1.800641.8080032.902635e-07
1.808171.8078663.007243e-07
1.815741.8077293.112289e-07
1.823341.8075913.217774e-07
1.830971.8074523.323702e-07
1.838631.8073123.430072e-07
1.846331.8071723.536887e-07
1.854051.8070313.644150e-07
1.861811.8068893.751861e-07
1.86961.8067473.860024e-07
1.877431.8066033.968638e-07
1.885281.8064594.077708e-07
1.893171.8063144.187234e-07
1.90111.8061694.297218e-07
1.909051.8060224.407662e-07
1.917041.8058754.518569e-07
1.925061.8057274.629940e-07
1.933121.8055784.741777e-07
1.941211.8054284.854082e-07
1.949331.8052774.966856e-07
1.957491.8051255.080103e-07
1.965681.8049735.193824e-07
1.973911.8048195.308021e-07
1.982171.8046655.422695e-07
1.990471.804515.537850e-07
1.99881.8043535.653486e-07
21.8043315.670200e-07
2.007161.8041966.003494e-07
2.015561.8040386.394455e-07
2.0241.8038796.787053e-07
2.032471.8037197.181293e-07
2.040971.8035587.577183e-07
2.049511.8033957.974730e-07
2.058091.8032328.373941e-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
—