Optical constants

Refractive index of J-LAF09 (HIKARI)

J-LAF09: 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
1.697
Extinction coefficient k
3.64647e-08
Permittivity ε1
2.8798
Permittivity ε2
1.23761e-07
Absorption coefficient α
0.00779832 cm⁻¹
Penetration depth δ = λ/(2πk)
2.56466e+09 nm
Abbe number Vd
48.45
Chromatic dispersion dn/dλ
-0.0737723 µm⁻¹
Group index ng
1.74035
Group velocity dispersion
135.33 fs²/mm
Dispersion parameter D
-738.299 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-LAF09 (HIKARI): J-LAF09
hikari_j_laf09 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAF09", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_laf09.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_laf09.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=2.81748246−0.0105788235⁢λ2.0−0.000100459117⁢λ4.0+0.0214941409⁢λ−2.0+0.000433668886⁢λ−4.0+3.1538635×10-7⁢λ−6.0+1.19012861×10-6⁢λ−8.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C12.81748246
C2-0.0105788235
C32.0
C4-0.000100459117
C54.0
C60.0214941409
C7-2.0
C80.000433668886
C9-4.0
C103.1538635e-07
C11-6.0
C121.19012861e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.0244e-06 1.1947e-08 -2.4361e-12 4.5669e-07 7.4603e-10 0.28662
nd
1.697000
Vd
48.449887
glass status
preferred
density
value: 3740
thermal expansion
value: 6.9e-06, temperature range: 243 343
dPgF
-0.0043
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.36e-06 K⁻¹ at 633 nm, dn/dT = 7.04e-07 K⁻¹ at 1310 nm, dn/dT = 6.57e-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-LAF09 (HIKARI), J-LAF09: n and k versus wavelength
λ (µm)nk
0.3888651.7260811.909196e-07
0.391.725761.788500e-07
0.3904921.7256211.761159e-07
0.3921271.7251661.670412e-07
0.3937681.7247161.579287e-07
0.3954151.7242711.487779e-07
0.397071.7238311.395889e-07
0.3987321.7233951.303614e-07
0.41.7230671.233200e-07
0.4004011.7229641.224076e-07
0.4020761.7225371.185913e-07
0.4037591.7221151.147590e-07
0.4054491.7216971.109107e-07
0.4071451.7212841.070463e-07
0.4088491.7208751.031658e-07
0.410561.720479.926896e-08
0.4122781.7200699.535584e-08
0.4140041.7196739.142635e-08
0.4157361.719288.748041e-08
0.4174761.7188928.351795e-08
0.4192231.7185077.953892e-08
0.421.7183387.777000e-08
0.4209781.7181277.742623e-08
0.4227391.717757.680680e-08
0.4245091.7173777.618477e-08
0.4262851.7170087.556014e-08
0.4280691.7166427.493289e-08
0.4298611.7162817.430302e-08
0.431661.7159237.367052e-08
0.4334661.7155687.303537e-08
0.435281.7152177.239756e-08
0.4371021.7148697.175708e-08
0.4389311.7145257.111392e-08
0.441.7143267.073800e-08
0.4407681.7141857.028907e-08
0.4426121.7138476.921045e-08
0.4444651.7135136.812732e-08
0.4463251.7131836.703965e-08
0.4481931.7128556.594743e-08
0.4500681.7125316.485065e-08
0.4519521.712216.374927e-08
0.4538431.7118916.264328e-08
0.4557421.7115776.153267e-08
0.457651.7112656.041740e-08
0.4595651.7109565.929747e-08
0.461.7108865.904300e-08
0.4614881.710655.808104e-08
0.4634191.7103475.683256e-08
0.4653591.7100475.557885e-08
0.4673061.7097495.431989e-08
0.4692621.7094555.305566e-08
0.4712261.7091635.178615e-08
0.4731981.7088745.051132e-08
0.4751781.7085884.923116e-08
0.4771671.7083054.794564e-08
0.4791641.7080244.665474e-08
0.481.7079074.611400e-08
0.4811691.7077464.575606e-08
0.4831821.707474.513937e-08
0.4852051.7071974.452011e-08
0.4872351.7069274.389826e-08
0.4892741.7066594.327380e-08
0.4913221.7063934.264673e-08
0.4933781.706134.201704e-08
0.4954431.705874.138471e-08
0.4975161.7056124.074973e-08
0.4995981.7053564.011210e-08
0.51.7053073.998900e-08
0.5016891.7051023.967677e-08
0.5037881.7048513.928861e-08
0.5058971.7046023.889882e-08
0.5080141.7043563.850740e-08
0.510141.7041113.811435e-08
0.5122751.7038693.771965e-08
0.5144191.7036293.732330e-08
0.5165711.7033923.692529e-08
0.5187331.7031563.652561e-08
0.5209041.7029223.612426e-08
0.5230841.7026913.572123e-08
0.5252731.7024623.531652e-08
0.5274711.7022343.491011e-08
0.5296791.7020093.450200e-08
0.5318951.7017853.409218e-08
0.5341211.7015643.368065e-08
0.5363571.7013453.326740e-08
0.5386011.7011273.285241e-08
0.5408551.7009123.243569e-08
0.5431191.7006983.201723e-08
0.5453921.7004863.159701e-08
0.5476741.7002763.117504e-08
0.5499661.7000683.075130e-08
0.551.7000653.074500e-08
0.5522681.6998623.108993e-08
0.5545791.6996573.144151e-08
0.55691.6994543.179456e-08
0.559231.6992533.214909e-08
0.561571.6990543.250510e-08
0.5639211.6988563.286261e-08
0.5662811.698663.322160e-08
0.568651.6984663.358210e-08
0.571031.6982743.394411e-08
0.573421.6980833.430764e-08
0.575821.6978933.467268e-08
0.5782291.6977053.503926e-08
0.5806491.6975193.540736e-08
0.5830791.6973353.577701e-08
0.5855191.6971523.614821e-08
0.587971.696973.652095e-08
0.590431.696793.689526e-08
0.5929011.6966113.727114e-08
0.5953821.6964343.764858e-08
0.5978741.6962593.802761e-08
0.61.6961113.835100e-08
0.6003761.6960843.841430e-08
0.6028891.6959123.883705e-08
0.6054121.695743.926158e-08
0.6079451.695573.968789e-08
0.610491.6954024.011597e-08
0.6130441.6952354.054585e-08
0.615611.6950694.097753e-08
0.6181861.6949044.141102e-08
0.6207731.6947414.184632e-08
0.6233711.6945794.228344e-08
0.625981.6944194.272239e-08
0.62861.6942594.316318e-08
0.631231.6941014.360581e-08
0.6338721.6939454.405029e-08
0.6365251.6937894.449664e-08
0.6391881.6936354.494485e-08
0.6418631.6934814.539494e-08
0.644551.693334.584691e-08
0.6472471.6931794.630077e-08
0.6499561.6930294.675653e-08
0.651.6930274.676400e-08
0.6526761.6928814.665585e-08
0.6554071.6927334.654545e-08
0.658151.6925874.643458e-08
0.6609041.6924424.632325e-08
0.663671.6922984.621146e-08
0.6664471.6921554.609919e-08
0.6692361.6920144.598646e-08
0.6720371.6918734.587326e-08
0.674851.6917334.575958e-08
0.6776741.6915954.564543e-08
0.680511.6914574.553079e-08
0.6833581.6913214.541568e-08
0.6862171.6911854.530009e-08
0.6890891.6910514.518401e-08
0.6919731.6909174.506745e-08
0.6948691.6907844.495040e-08
0.6977771.6906534.483286e-08
0.71.6905534.474300e-08
0.7006971.6905224.483230e-08
0.7036291.6903924.520800e-08
0.7065741.6902644.558526e-08
0.7095311.6901364.596411e-08
0.71251.6900094.634454e-08
0.7154821.6898834.672657e-08
0.7184761.6897574.711019e-08
0.7214831.6896334.749541e-08
0.7245021.689514.788225e-08
0.7275341.6893874.827071e-08
0.7305791.6892654.866080e-08
0.7336371.6891444.905251e-08
0.7367071.6890244.944587e-08
0.739791.6889054.984087e-08
0.7428861.6887865.023753e-08
0.7459951.6886695.063584e-08
0.7491171.6885525.103582e-08
0.7522521.6884365.143748e-08
0.75541.688325.184082e-08
0.7585611.6882065.224584e-08
0.7617361.6880925.265256e-08
0.7649231.6879795.306098e-08
0.7681251.6878665.347111e-08
0.7713391.6877555.388296e-08
0.7745671.6876445.429653e-08
0.7778091.6875335.471183e-08
0.7810641.6874245.512887e-08
0.7843321.6873155.554766e-08
0.7876151.6872075.596820e-08
0.7909111.6870995.639049e-08
0.7942211.6869925.681456e-08
0.7975441.6868865.724040e-08
0.81.6868085.755500e-08
0.8008821.6867815.749109e-08
0.8042341.6866765.724826e-08
0.8075991.6865715.700442e-08
0.8109791.6864685.675956e-08
0.8143731.6863645.651367e-08
0.8177811.6862625.626675e-08
0.8212041.686165.601881e-08
0.824641.6860595.576982e-08
0.8280911.6859585.551979e-08
0.8315571.6858585.526871e-08
0.8350371.6857585.501659e-08
0.8385311.6856595.476341e-08
0.8420411.6855615.450916e-08
0.8455641.6854635.425386e-08
0.8491031.6853655.399749e-08
0.8526561.6852685.374004e-08
0.8562251.6851725.348152e-08
0.8598081.6850765.322191e-08
0.8634061.684985.296122e-08
0.867021.6848855.269944e-08
0.8706481.6847915.243656e-08
0.8742921.6846975.217258e-08
0.877951.6846035.190750e-08
0.8816251.684515.164130e-08
0.8853141.6844185.137400e-08
0.8890191.6843255.110557e-08
0.892741.6842345.083602e-08
0.8964761.6841425.056535e-08
0.91.6840575.031000e-08
0.9002271.6840525.035916e-08
0.9039951.6839615.117420e-08
0.9077781.6838715.199265e-08
0.9115771.6837815.281452e-08
0.9153921.6836925.363983e-08
0.9192231.6836035.446860e-08
0.9230691.6835155.530083e-08
0.9269321.6834275.613655e-08
0.9308121.6833395.697576e-08
0.9347071.6832525.781849e-08
0.9386191.6831655.866474e-08
0.9425471.6830785.951453e-08
0.9464911.6829926.036788e-08
0.9504521.6829066.122481e-08
0.954431.682826.208531e-08
0.9584241.6827356.294942e-08
0.9624351.682656.381715e-08
0.9664631.6825656.468850e-08
0.9705071.682486.556351e-08
0.9745691.6823966.644217e-08
0.9786471.6823126.732452e-08
0.9827431.6822296.821055e-08
0.9868551.6821466.910029e-08
0.9909851.6820636.999376e-08
0.9951321.681987.089096e-08
0.9992971.6818977.179192e-08
11.6818847.194400e-08
1.003481.6818157.152516e-08
1.007681.6817337.101958e-08
1.01191.6816527.051189e-08
1.016131.681577.000207e-08
1.020381.6814896.949012e-08
1.024651.6814086.897603e-08
1.028941.6813276.845979e-08
1.033251.6812466.794138e-08
1.037571.6811666.742081e-08
1.041911.6810866.689806e-08
1.046271.6810056.637312e-08
1.050651.6809266.584598e-08
1.055051.6808466.531664e-08
1.059461.6807666.478508e-08
1.06391.6806876.425129e-08
1.068351.6806086.371528e-08
1.072821.6805296.317702e-08
1.077311.680456.263651e-08
1.081821.6803716.209373e-08
1.086351.6802936.154869e-08
1.090891.6802146.100136e-08
1.095461.6801366.045174e-08
1.100041.6800585.989982e-08
1.104651.6799795.934560e-08
1.109271.6799015.878905e-08
1.113911.6798235.823017e-08
1.118571.6797465.766896e-08
1.123251.6796685.710540e-08
1.127961.679595.653947e-08
1.132681.6795135.597118e-08
1.137421.6794355.540052e-08
1.142181.6793585.482746e-08
1.146961.679285.425200e-08
1.151761.6792035.367414e-08
1.156581.6791265.309386e-08
1.161421.6790485.251115e-08
1.166281.6789715.192600e-08
1.171161.6788945.133840e-08
1.176061.6788175.074835e-08
1.180981.678745.015582e-08
1.185921.6786634.956082e-08
1.190891.6785864.896332e-08
1.195871.6785084.836333e-08
1.21.6784454.786600e-08
1.200871.6784314.799877e-08
1.20591.6783544.876251e-08
1.210951.6782774.952944e-08
1.216011.67825.029958e-08
1.22111.6781235.107294e-08
1.226211.6780455.184954e-08
1.231341.6779685.262939e-08
1.23651.6778915.341251e-08
1.241671.6778135.419890e-08
1.246871.6777365.498858e-08
1.252091.6776595.578157e-08
1.257331.6775815.657788e-08
1.262591.6775035.737752e-08
1.267871.6774265.818050e-08
1.273181.6773485.898685e-08
1.278511.677275.979657e-08
1.283861.6771926.060967e-08
1.289231.6771146.142618e-08
1.294621.6770366.224611e-08
1.300041.6769576.306947e-08
1.305481.6768796.389628e-08
1.310951.67686.472654e-08
1.316431.6767226.556028e-08
1.321941.6766436.639751e-08
1.327471.6765646.723825e-08
1.333031.6764856.808250e-08
1.338611.6764056.893028e-08
1.344211.6763266.978161e-08
1.349841.6762467.063651e-08
1.355481.6761667.149498e-08
1.361161.6760867.235705e-08
1.366851.6760067.322272e-08
1.372571.6759267.409202e-08
1.378321.6758457.496495e-08
1.384091.6757647.584154e-08
1.389881.6756837.672179e-08
1.395691.6756027.760573e-08
1.41.6755427.826000e-08
1.401541.6755217.864161e-08
1.40741.6754398.009914e-08
1.413291.6753578.156277e-08
1.419211.6752758.303253e-08
1.425141.6751938.450844e-08
1.431111.675118.599052e-08
1.43711.6750278.747881e-08
1.443111.6749448.897333e-08
1.449151.674869.047410e-08
1.455221.6747779.198115e-08
1.461311.6746929.349451e-08
1.467421.6746089.501420e-08
1.473561.6745249.654025e-08
1.479731.6744399.807269e-08
1.485921.6743539.961154e-08
1.492141.6742681.011568e-07
1.498381.6741821.027086e-07
1.504661.6740961.042668e-07
1.510951.6740091.058316e-07
1.517281.6739221.074029e-07
1.523631.6738351.089808e-07
1.531.6737471.105653e-07
1.53641.6736591.121565e-07
1.542831.6735711.137542e-07
1.549291.6734821.153587e-07
1.555771.6733931.169699e-07
1.562291.6733031.185878e-07
1.568821.6732131.202126e-07
1.575391.6731231.218441e-07
1.581981.6730321.234824e-07
1.58861.6729411.251276e-07
1.595251.6728491.267797e-07
1.61.6727841.279600e-07
1.601931.6727571.290929e-07
1.608631.6726641.330362e-07
1.615361.6725711.369960e-07
1.622121.6724781.409723e-07
1.628911.6723841.449653e-07
1.635731.672291.489750e-07
1.642571.6721951.530014e-07
1.649451.6720991.570447e-07
1.656351.6720031.611050e-07
1.663281.6719071.651822e-07
1.670241.671811.692765e-07
1.677231.6717131.733879e-07
1.684251.6716151.775165e-07
1.69131.6715161.816624e-07
1.698381.6714171.858257e-07
1.705491.6713181.900064e-07
1.712621.6712181.942046e-07
1.719791.6711171.984203e-07
1.726991.6710162.026537e-07
1.734211.6709142.069048e-07
1.741471.6708112.111737e-07
1.748761.6707082.154605e-07
1.756081.6706052.197652e-07
1.763431.67052.240879e-07
1.770811.6703952.284287e-07
1.778221.670292.327877e-07
1.785661.6701842.371649e-07
1.793131.6700772.415604e-07
1.81.6699782.456000e-07
1.800641.6699692.461527e-07
1.808171.6698612.526965e-07
1.815741.6697522.592677e-07
1.823341.6696432.658665e-07
1.830971.6695322.724928e-07
1.838631.6694212.791469e-07
1.846331.669312.858289e-07
1.854051.6691972.925388e-07
1.861811.6690842.992767e-07
1.86961.668973.060429e-07
1.877431.6688563.128374e-07
1.885281.668743.196603e-07
1.893171.6686243.265118e-07
1.90111.6685073.333920e-07
1.909051.668393.403009e-07
1.917041.6682713.472388e-07
1.925061.6681523.542057e-07
1.933121.6680323.612017e-07
1.941211.6679113.682270e-07
1.949331.6677893.752818e-07
1.957491.6676663.823660e-07
1.965681.6675433.894799e-07
1.973911.6674183.966236e-07
1.982171.6672934.037971e-07
1.990471.6671674.110007e-07
1.99881.667044.182345e-07
21.6670214.192800e-07
2.007161.6669124.430547e-07
2.015561.6667834.709429e-07
2.0241.6666534.989479e-07
2.032471.6665225.270700e-07
2.040971.6663915.553099e-07
2.049511.6662585.836679e-07
2.058091.6661246.121446e-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
—