Optical constants

Refractive index of J-LAF05 (HIKARI)

J-LAF05: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.762
Extinction coefficient k
2.92327e-08
Permittivity ε1
3.10463
Permittivity ε2
1.03016e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
40.114
Chromatic dispersion dn/dλ
-0.0967684 µm⁻¹
Group index ng
1.81886
Group velocity dispersion
184.787 fs²/mm
Dispersion parameter D
-1008.11 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-LAF05 (HIKARI): J-LAF05
hikari_j_laf05 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAF05", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_laf05.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_laf05.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=3.01897142−0.0106135241⁢λ2.0−3.56215294×10-5⁢λ4.0+0.0284177137⁢λ−2.0+0.000843869366⁢λ−4.0−1.12827377×10-5⁢λ−6.0+3.11337221×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.01897142
C2-0.0106135241
C32.0
C4-3.56215294e-05
C54.0
C60.0284177137
C7-2.0
C80.000843869366
C9-4.0
C10-1.12827377e-05
C11-6.0
C123.11337221e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 8.9831e-06 1.4643e-08 -2.2499e-12 9.6665e-07 9.3427e-10 0.21126
nd
1.762000
Vd
40.113731
density
value: 3940
thermal expansion
value: 6.3e-06, temperature range: 243 343
dPgF
-0.0046
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 6.96e-06 K⁻¹ at 633 nm, dn/dT = 5.55e-06 K⁻¹ at 1310 nm, dn/dT = 5.43e-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 421 wavelengths, the same grid as the API and the library
J-LAF05 (HIKARI), J-LAF05: n and k versus wavelength
λ (µm)nk
0.3650151.8120416.476311e-07
0.3666011.8112455.938375e-07
0.3681931.8104595.398102e-07
0.3697931.8096834.855481e-07
0.371.8095834.785200e-07
0.3713991.8089164.528653e-07
0.3730131.808164.232844e-07
0.3746331.8074133.935750e-07
0.3762611.8066753.637365e-07
0.3778951.8059473.337684e-07
0.3795371.8052273.036701e-07
0.381.8050272.951800e-07
0.3811861.8045172.833418e-07
0.3828421.8038152.668087e-07
0.3845051.8031222.502038e-07
0.3861751.8024372.335267e-07
0.3878531.801762.167772e-07
0.3895381.8010921.999549e-07
0.391.8009111.953400e-07
0.391231.8004321.881125e-07
0.392931.799781.781256e-07
0.3946371.7991351.680954e-07
0.3963511.7984981.580217e-07
0.3980731.7978691.479041e-07
0.3998021.7972471.377426e-07
0.41.7971761.365800e-07
0.4015391.7966321.328455e-07
0.4032831.7960251.286126e-07
0.4050351.7954241.243613e-07
0.4067951.7948311.200915e-07
0.4085621.7942451.158032e-07
0.4103371.7936651.114963e-07
0.412121.7930921.071706e-07
0.413911.7925251.028262e-07
0.4157081.7919659.846286e-08
0.4175141.7914129.408058e-08
0.4193281.7908648.967926e-08
0.421.7906638.804800e-08
0.4211491.7903238.684795e-08
0.4229791.7897888.493779e-08
0.4248171.7892598.301933e-08
0.4266621.7887358.109253e-08
0.4285161.7882187.915736e-08
0.4303771.7877067.721379e-08
0.4322471.78727.526177e-08
0.4341251.78677.330127e-08
0.436011.7862057.133226e-08
0.4379051.7857156.935469e-08
0.4398071.7852316.736853e-08
0.441.7851836.716700e-08
0.4417181.7847526.614993e-08
0.4436371.7842796.501364e-08
0.4455641.783816.387241e-08
0.4474991.7833476.272622e-08
0.4494431.7828886.157506e-08
0.4513961.7824356.041889e-08
0.4533571.7819865.925770e-08
0.4553261.7815425.809147e-08
0.4573041.7811035.692017e-08
0.4592911.7806685.574379e-08
0.461.7805155.532400e-08
0.4612861.7802385.448311e-08
0.463291.7798135.317314e-08
0.4653031.7793925.185748e-08
0.4673241.7789755.053610e-08
0.4693541.7785634.920898e-08
0.4713931.7781554.787609e-08
0.4734411.7777514.653742e-08
0.4754981.7773524.519293e-08
0.4775641.7769574.384259e-08
0.4796381.7765654.248640e-08
0.481.7764984.225000e-08
0.4817221.7761784.170945e-08
0.4838151.7757954.105255e-08
0.4859171.7754154.039279e-08
0.4880271.775043.973017e-08
0.4901481.7746683.906467e-08
0.4922771.77433.839628e-08
0.4944151.7739363.772498e-08
0.4965631.7735763.705077e-08
0.4987211.7732193.637363e-08
0.51.773013.597200e-08
0.5008871.7728663.587927e-08
0.5030631.7725163.565179e-08
0.5052481.772173.542332e-08
0.5074431.7718273.519387e-08
0.5096481.7714883.496341e-08
0.5118621.7711523.473196e-08
0.5140861.7708193.449950e-08
0.5163191.770493.426603e-08
0.5185621.7701643.403155e-08
0.5208151.7698413.379604e-08
0.5230771.7695213.355952e-08
0.5253491.7692043.332196e-08
0.5276321.7688913.308338e-08
0.5299241.768583.284376e-08
0.5322261.7682733.260309e-08
0.5345381.7679683.236138e-08
0.536861.7676673.211863e-08
0.5391931.7673683.187481e-08
0.5415351.7670723.162994e-08
0.5438871.7667793.138400e-08
0.546251.7664893.113700e-08
0.5486231.7662023.088892e-08
0.551.7660373.074500e-08
0.5510071.7659173.070451e-08
0.55341.7656353.060824e-08
0.5558041.7653563.051155e-08
0.5582191.7650793.041443e-08
0.5606441.7648063.031690e-08
0.563081.7645343.021894e-08
0.5655261.7642653.012056e-08
0.5679821.7639993.002174e-08
0.570451.7637352.992250e-08
0.5729281.7634742.982283e-08
0.5754171.7632152.972273e-08
0.5779171.7629582.962219e-08
0.5804271.7627042.952121e-08
0.5829491.7624522.941979e-08
0.5854811.7622032.931794e-08
0.5880251.7619552.921564e-08
0.5905791.761712.911290e-08
0.5931451.7614682.900971e-08
0.5957221.7612272.890607e-08
0.598311.7609892.880198e-08
0.61.7608352.873400e-08
0.6009091.7607522.887217e-08
0.6035191.7605182.926902e-08
0.6061411.7602872.966759e-08
0.6087741.7600573.006789e-08
0.6114191.7598293.046993e-08
0.6140751.7596033.087372e-08
0.6167431.7593793.127926e-08
0.6194221.7591583.168656e-08
0.6221131.7589383.209564e-08
0.6248161.758723.250649e-08
0.627531.7585043.291912e-08
0.6302561.758293.333355e-08
0.6329941.7580783.374978e-08
0.6357441.7578683.416781e-08
0.6385061.7576593.458766e-08
0.641281.7574533.500934e-08
0.6440661.7572483.543285e-08
0.6468641.7570453.585819e-08
0.6496741.7568433.628539e-08
0.651.756823.633500e-08
0.6524961.7566443.675473e-08
0.6553311.7564463.723139e-08
0.6581781.756253.771013e-08
0.6610371.7560553.819094e-08
0.6639081.7558623.867385e-08
0.6667931.7556713.915885e-08
0.6696891.7554823.964596e-08
0.6725991.7552944.013519e-08
0.6755211.7551074.062654e-08
0.6784551.7549224.112002e-08
0.6814031.7547394.161565e-08
0.6843631.7545574.211344e-08
0.6873361.7543774.261338e-08
0.6903221.7541984.311550e-08
0.6933211.7540214.361980e-08
0.6963331.7538454.412629e-08
0.6993581.753674.463497e-08
0.71.7536334.474300e-08
0.7023961.7534974.535807e-08
0.7054471.7533264.614145e-08
0.7085121.7531554.692823e-08
0.711591.7529864.771843e-08
0.7146811.7528194.851206e-08
0.7177861.7526534.930914e-08
0.7209041.7524885.010968e-08
0.7240361.7523245.091371e-08
0.7271811.7521625.172122e-08
0.730341.7520015.253224e-08
0.7335131.7518415.334679e-08
0.73671.7516835.416487e-08
0.73991.7515255.498651e-08
0.7431141.7513695.581171e-08
0.7463421.7512145.664050e-08
0.7495851.7510615.747290e-08
0.7528411.7509085.830891e-08
0.7561121.7507575.914855e-08
0.7593961.7506075.999183e-08
0.7626951.7504586.083878e-08
0.7660091.750316.168941e-08
0.7693361.7501636.254374e-08
0.7726791.7500176.340178e-08
0.7760351.7498726.426354e-08
0.7794071.7497296.512905e-08
0.7827931.7495866.599832e-08
0.7861931.7494446.687136e-08
0.7896091.7493046.774820e-08
0.7930391.7491646.862885e-08
0.7964841.7490266.951332e-08
0.7999441.7488887.040164e-08
0.81.7488867.041600e-08
0.8034191.7487526.923583e-08
0.8069091.7486166.803114e-08
0.8104151.7484816.682122e-08
0.8139351.7483486.560603e-08
0.8174711.7482156.438557e-08
0.8210231.7480836.315981e-08
0.8245891.7479526.192872e-08
0.8281721.7478226.069229e-08
0.8317691.7476935.945048e-08
0.8353831.7475645.820328e-08
0.8390121.7474375.695066e-08
0.8426571.747315.569260e-08
0.8463171.7471845.442907e-08
0.8499941.7470595.316006e-08
0.8536871.7469355.188553e-08
0.8573951.7468125.060546e-08
0.861121.7466894.931984e-08
0.8648611.7465674.802863e-08
0.8686181.7464464.673181e-08
0.8723911.7463264.542935e-08
0.8761811.7462064.412124e-08
0.8799881.7460874.280744e-08
0.8838111.7459694.148794e-08
0.887651.7458524.016271e-08
0.8915061.7457353.883171e-08
0.8953791.7456193.749494e-08
0.8992691.7455033.615236e-08
0.91.7454823.590000e-08
0.9031751.7453893.628074e-08
0.9070991.7452753.675118e-08
0.911041.7451613.722367e-08
0.9149981.7450493.769820e-08
0.9189721.7449363.817480e-08
0.9229651.7448253.865347e-08
0.9269741.7447143.913422e-08
0.9310011.7446043.961705e-08
0.9350461.7444944.010199e-08
0.9391081.7443854.058903e-08
0.9431881.7442774.107819e-08
0.9472851.7441694.156947e-08
0.95141.7440614.206288e-08
0.9555331.7439544.255844e-08
0.9596841.7438484.305615e-08
0.9638531.7437424.355603e-08
0.9680411.7436374.405807e-08
0.9722461.7435324.456230e-08
0.976471.7434284.506872e-08
0.9807121.7433244.557734e-08
0.9849721.7432214.608816e-08
0.9892511.7431184.660121e-08
0.9935491.7430164.711648e-08
0.9978651.7429144.763400e-08
11.7428644.789000e-08
1.00221.7428134.778423e-08
1.006551.7427124.757490e-08
1.010931.7426114.736466e-08
1.015321.7425114.715351e-08
1.019731.7424124.694144e-08
1.024161.7423124.672845e-08
1.028611.7422134.651453e-08
1.033081.7421154.629968e-08
1.037561.7420174.608391e-08
1.042071.7419194.586719e-08
1.04661.7418224.564953e-08
1.051151.7417254.543093e-08
1.055711.7416284.521137e-08
1.06031.7415324.499087e-08
1.06491.7414364.476940e-08
1.069531.741344.454697e-08
1.074181.7412454.432358e-08
1.078841.741154.409921e-08
1.083531.7410554.387388e-08
1.088241.7409614.364756e-08
1.092961.7408674.342026e-08
1.097711.7407734.319197e-08
1.102481.7406794.296269e-08
1.107271.7405864.273241e-08
1.112081.7404934.250114e-08
1.116911.74044.226885e-08
1.121761.7403084.203556e-08
1.126641.7402154.180126e-08
1.131531.7401234.156594e-08
1.136451.7400324.132960e-08
1.141381.739944.109222e-08
1.146341.7398484.085382e-08
1.151321.7397574.061438e-08
1.156321.7396664.037391e-08
1.161351.7395754.013238e-08
1.166391.7394853.988981e-08
1.171461.7393943.964619e-08
1.176551.7393043.940150e-08
1.181661.7392133.915576e-08
1.186791.7391233.890894e-08
1.191951.7390333.866106e-08
1.197131.7389443.841209e-08
1.21.7388943.827400e-08
1.202331.7388543.847856e-08
1.207551.7387643.893741e-08
1.21281.7386753.939826e-08
1.218071.7385863.986112e-08
1.223361.7384964.032598e-08
1.228671.7384074.079286e-08
1.234011.7383184.126178e-08
1.239371.7382294.173273e-08
1.244751.738144.220572e-08
1.250161.7380514.268077e-08
1.255591.7379624.315788e-08
1.261051.7378744.363707e-08
1.266531.7377854.411834e-08
1.272031.7376964.460169e-08
1.277551.7376074.508715e-08
1.28311.7375194.557472e-08
1.288681.737434.606440e-08
1.294281.7373414.655622e-08
1.29991.7372534.705017e-08
1.305551.7371644.754626e-08
1.311221.7370754.804451e-08
1.316911.7369874.854493e-08
1.322641.7368984.904751e-08
1.328381.7368094.955229e-08
1.334151.736725.005925e-08
1.339951.7366315.056842e-08
1.345771.7365425.107980e-08
1.351621.7364535.159340e-08
1.357491.7363645.210923e-08
1.363381.7362755.262730e-08
1.369311.7361865.314762e-08
1.375261.7360965.367021e-08
1.381231.7360075.419506e-08
1.387231.7359175.472220e-08
1.393261.7358275.525162e-08
1.399311.7357385.578334e-08
1.41.7357275.584400e-08
1.405391.7356485.744077e-08
1.411491.7355575.924996e-08
1.417631.7354676.106702e-08
1.423781.7353776.289196e-08
1.429971.7352866.472484e-08
1.436181.7351956.656568e-08
1.442421.7351046.841451e-08
1.448691.7350137.027138e-08
1.454981.7349227.213631e-08
1.46131.734837.400935e-08
1.467651.7347397.589052e-08
1.474031.7346477.777987e-08
1.480431.7345557.967742e-08
1.486861.7344628.158321e-08
1.493321.734378.349729e-08
1.499811.7342778.541968e-08
1.506321.7341848.735042e-08
1.512871.734098.928955e-08
1.519441.7339979.123710e-08
1.526041.7339039.319311e-08
1.532671.7338099.515762e-08
1.539331.7337149.713067e-08
1.546011.7336199.911229e-08
1.552731.7335241.011025e-07
1.559481.7334291.031014e-07
1.566251.7333331.051089e-07
1.573051.7332371.071252e-07
1.579891.7331411.091502e-07
1.586751.7330441.111841e-07
1.593641.7329471.132267e-07
1.61.7328581.151100e-07
1.600571.732851.153566e-07
1.607521.7327521.183757e-07
1.61451.7326541.214079e-07
1.621521.7325551.244533e-07
1.628561.7324571.275119e-07
1.635641.7323571.305838e-07
1.642741.7322581.336691e-07
1.649881.7321571.367677e-07
1.657051.7320571.398798e-07
1.664251.7319561.430054e-07
1.671481.7318551.461447e-07
1.678741.7317531.492975e-07
1.686031.731651.524641e-07
1.693351.7315481.556444e-07
1.700711.7314441.588385e-07
1.70811.7313411.620465e-07
1.715521.7312371.652684e-07
1.722971.7311321.685043e-07
1.730461.7310271.717543e-07
1.737971.7309211.750184e-07
1.745521.7308151.782967e-07
1.753111.7307081.815892e-07
1.760721.7306011.848960e-07
1.768371.7304931.882172e-07
1.776051.7303851.915529e-07
1.783771.7302761.949030e-07
1.791521.7301661.982676e-07
1.79931.7300562.016469e-07
1.81.7300462.019500e-07
1.807121.7299462.073637e-07
1.814971.7298342.133340e-07
1.822851.7297232.193303e-07
1.830771.729612.253526e-07
1.838731.7294972.314011e-07
1.846711.7293832.374759e-07
1.854741.7292692.435770e-07
1.862791.7291542.497047e-07
1.870891.7290382.558589e-07
1.879011.7289222.620400e-07
1.887181.7288052.682478e-07
1.895371.7286872.744827e-07
1.903611.7285692.807446e-07
1.911881.7284492.870337e-07
1.920181.728332.933502e-07
1.928531.7282092.996940e-07
1.93691.7280883.060655e-07
1.945321.7279663.124646e-07
1.953771.7278433.188915e-07
1.962261.7277193.253464e-07
1.970781.7275953.318293e-07
1.979341.727473.383403e-07
1.987941.7273443.448796e-07
1.996581.7272173.514474e-07
21.7271673.540500e-07
2.005251.7270893.639979e-07
2.013961.7269613.805001e-07
2.022711.7268323.970740e-07
2.03151.7267014.137199e-07
2.040321.7265714.304382e-07
2.049191.7264394.472290e-07
2.058091.7263064.640928e-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
—