Optical constants

Refractive index of J-LLF1 (HIKARI)

J-LLF1: 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
1.54814
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.39673
Permittivity ε2
5.80287e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
45.51
Chromatic dispersion dn/dλ
-0.0615243 µm⁻¹
Group index ng
1.58429
Group velocity dispersion
114.539 fs²/mm
Dispersion parameter D
-624.872 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-LLF1 (HIKARI): J-LLF1
hikari_j_llf1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LLF1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_llf1.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_llf1.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=2.35082049−0.00890815763⁢λ2.0−4.67960548×10-5⁢λ4.0+0.0155575823⁢λ−2.0+0.000497642954⁢λ−4.0−1.81687973×10-5⁢λ−6.0+2.83408723×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.35082049
C2-0.00890815763
C32.0
C4-4.67960548e-05
C54.0
C60.0155575823
C7-2.0
C80.000497642954
C9-4.0
C10-1.81687973e-05
C11-6.0
C122.83408723e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -1.8851e-06 9.3163e-09 -4.0239e-13 6.6759e-07 7.4145e-10 0.23889
nd
1.548140
Vd
45.509935
density
value: 2550
thermal expansion
value: 8.7e-06, temperature range: 243 343
dPgF
0.0005
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.59e-08 K⁻¹ at 633 nm, dn/dT = -6.51e-07 K⁻¹ at 1310 nm, dn/dT = -6.99e-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 421 wavelengths, the same grid as the API and the library
J-LLF1 (HIKARI), J-LLF1: n and k versus wavelength
λ (µm)nk
0.3650151.5797931.249871e-06
0.3666011.5792831.109326e-06
0.3681931.5787819.681706e-07
0.3697931.5782858.264021e-07
0.371.5782218.080400e-07
0.3713991.5777967.490625e-07
0.3730131.5773136.810590e-07
0.3746331.5768376.127601e-07
0.3762611.5763665.441645e-07
0.3778951.5759024.752709e-07
0.3795371.5754454.060780e-07
0.381.5753173.865600e-07
0.3811861.5749933.638867e-07
0.3828421.5745463.322215e-07
0.3845051.5741063.004187e-07
0.3861751.5736712.684777e-07
0.3878531.5732412.363979e-07
0.3895381.5728172.041788e-07
0.391.5727021.953400e-07
0.391231.5723991.840460e-07
0.392931.5719851.684404e-07
0.3946371.5715771.527669e-07
0.3963511.5711731.370253e-07
0.3980731.5707751.212154e-07
0.3998021.5703811.053368e-07
0.41.5703371.035200e-07
0.4015391.5699929.891954e-08
0.4032831.5696089.370507e-08
0.4050351.5692298.846795e-08
0.4067951.5688538.320807e-08
0.4085621.5684837.792534e-08
0.4103371.5681177.261966e-08
0.412121.5677556.729094e-08
0.413911.5673976.193906e-08
0.4157081.5670445.656394e-08
0.4175141.5666945.116546e-08
0.4193281.5663494.574354e-08
0.421.5662224.373400e-08
0.4211491.5660074.303981e-08
0.4229791.565674.193484e-08
0.4248171.5653364.082507e-08
0.4266621.5650073.971048e-08
0.4285161.564683.859105e-08
0.4303771.5643583.746675e-08
0.4322471.5640393.633757e-08
0.4341251.5637243.520348e-08
0.436011.5634123.406447e-08
0.4379051.5631043.292051e-08
0.4398071.5627993.177158e-08
0.441.5627683.165500e-08
0.4417181.5624973.114479e-08
0.4436371.5621993.057477e-08
0.4455641.5619043.000228e-08
0.4474991.5616122.942730e-08
0.4494431.5613232.884982e-08
0.4513961.5610382.826984e-08
0.4533571.5607552.768733e-08
0.4553261.5604762.710229e-08
0.4573041.5601992.651471e-08
0.4592911.5599262.592458e-08
0.461.5598292.571400e-08
0.4612861.5596552.553861e-08
0.463291.5593872.526537e-08
0.4653031.5591222.499095e-08
0.4673241.558862.471533e-08
0.4693541.5586012.443852e-08
0.4713931.5583442.416050e-08
0.4734411.558092.388128e-08
0.4754981.5578382.360084e-08
0.4775641.5575892.331919e-08
0.4796381.5573432.303631e-08
0.481.55732.298700e-08
0.4817221.5570992.272499e-08
0.4838151.5568582.240659e-08
0.4859171.5566192.208680e-08
0.4880271.5563822.176562e-08
0.4901481.5561482.144304e-08
0.4922771.5559172.111907e-08
0.4944151.5556872.079369e-08
0.4965631.555462.046689e-08
0.4987211.5552352.013867e-08
0.51.5551031.994400e-08
0.5008871.5550121.990138e-08
0.5030631.5547921.979685e-08
0.5052481.5545741.969186e-08
0.5074431.5543581.958642e-08
0.5096481.5541441.948052e-08
0.5118621.5539321.937416e-08
0.5140861.5537221.926733e-08
0.5163191.5535141.916004e-08
0.5185621.5533081.905229e-08
0.5208151.5531041.894407e-08
0.5230771.5529031.883537e-08
0.5253491.5527031.872621e-08
0.5276321.5525051.861657e-08
0.5299241.5523091.850646e-08
0.5322261.5521141.839586e-08
0.5345381.5519221.828479e-08
0.536861.5517311.817323e-08
0.5391931.5515421.806119e-08
0.5415351.5513551.794866e-08
0.5438871.551171.783565e-08
0.546251.5509871.772214e-08
0.5486231.5508051.760814e-08
0.551.55071.754200e-08
0.5510071.5506251.757411e-08
0.55341.5504461.765047e-08
0.5558041.5502691.772716e-08
0.5582191.5500941.780419e-08
0.5606441.5499211.788154e-08
0.563081.5497491.795924e-08
0.5655261.5495781.803727e-08
0.5679821.5494091.811564e-08
0.570451.5492421.819435e-08
0.5729281.5490761.827341e-08
0.5754171.5489121.835280e-08
0.5779171.5487491.843255e-08
0.5804271.5485871.851263e-08
0.5829491.5484271.859307e-08
0.5854811.5482691.867386e-08
0.5880251.5481121.875499e-08
0.5905791.5479561.883648e-08
0.5931451.5478011.891832e-08
0.5957221.5476481.900052e-08
0.598311.5474971.908308e-08
0.61.5473991.913700e-08
0.6009091.5473461.926045e-08
0.6035191.5471971.961500e-08
0.6061411.5470491.997110e-08
0.6087741.5469032.032874e-08
0.6114191.5467572.068794e-08
0.6140751.5466132.104870e-08
0.6167431.5464712.141102e-08
0.6194221.5463292.177492e-08
0.6221131.5461892.214040e-08
0.6248161.5460492.250747e-08
0.627531.5459112.287613e-08
0.6302561.5457742.324640e-08
0.6329941.5456392.361827e-08
0.6357441.5455042.399176e-08
0.6385061.545372.436687e-08
0.641281.5452382.474361e-08
0.6440661.5451072.512199e-08
0.6468641.5449762.550201e-08
0.6496741.5448472.588368e-08
0.651.5448322.592800e-08
0.6524961.5447192.630714e-08
0.6553311.5445922.673772e-08
0.6581781.5444662.717016e-08
0.6610371.5443412.760449e-08
0.6639081.5442172.804070e-08
0.6667931.5440942.847880e-08
0.6696891.5439712.891881e-08
0.6725991.543852.936073e-08
0.6755211.543732.980457e-08
0.6784551.5436113.025034e-08
0.6814031.5434923.069805e-08
0.6843631.5433753.114770e-08
0.6873361.5432583.159930e-08
0.6903221.5431433.205287e-08
0.6933211.5430283.250840e-08
0.6963331.5429143.296592e-08
0.6993581.5428013.342542e-08
0.71.5427773.352300e-08
0.7023961.5426893.409875e-08
0.7054471.5425783.483206e-08
0.7085121.5424673.556855e-08
0.711591.5423573.630824e-08
0.7146811.5422483.705115e-08
0.7177861.542143.779728e-08
0.7209041.5420333.854665e-08
0.7240361.5419263.929928e-08
0.7271811.5418214.005518e-08
0.730341.5417164.081436e-08
0.7335131.5416114.157684e-08
0.73671.5415084.234263e-08
0.73991.5414054.311175e-08
0.7431141.5413034.388421e-08
0.7463421.5412014.466002e-08
0.7495851.5411014.543921e-08
0.7528411.5410014.622178e-08
0.7561121.5409014.700775e-08
0.7593961.5408034.779714e-08
0.7626951.5407054.858995e-08
0.7660091.5406074.938621e-08
0.7693361.5405115.018593e-08
0.7726791.5404145.098912e-08
0.7760351.5403195.179580e-08
0.7794071.5402245.260599e-08
0.7827931.540135.341969e-08
0.7861931.5400365.423693e-08
0.7896091.5399435.505773e-08
0.7930391.5398515.588208e-08
0.7964841.5397595.671002e-08
0.7999441.5396675.754155e-08
0.81.5396665.755500e-08
0.8034191.5395775.632283e-08
0.8069091.5394865.506505e-08
0.8104151.5393975.380181e-08
0.8139351.5393085.253308e-08
0.8174711.5392195.125883e-08
0.8210231.5391314.997906e-08
0.8245891.5390434.869372e-08
0.8281721.5389564.740280e-08
0.8317691.538874.610627e-08
0.8353831.5387834.480411e-08
0.8390121.5386984.349629e-08
0.8426571.5386134.218279e-08
0.8463171.5385284.086359e-08
0.8499941.5384443.953865e-08
0.8536871.538363.820796e-08
0.8573951.5382763.687148e-08
0.861121.5381943.552920e-08
0.8648611.5381113.418109e-08
0.8686181.5380293.282713e-08
0.8723911.5379473.146728e-08
0.8761811.5378663.010152e-08
0.8799881.5377852.872983e-08
0.8838111.5377052.735218e-08
0.887651.5376252.596855e-08
0.8915061.5375452.457890e-08
0.8953791.5374662.318322e-08
0.8992691.5373872.178148e-08
0.91.5373722.151800e-08
0.9031751.5373082.184752e-08
0.9070991.537232.225467e-08
0.911041.5371522.266360e-08
0.9149981.5370742.307429e-08
0.9189721.5369972.348678e-08
0.9229651.536922.390105e-08
0.9269741.5368432.431712e-08
0.9310011.5367672.473500e-08
0.9350461.5366912.515470e-08
0.9391081.5366152.557622e-08
0.9431881.536542.599957e-08
0.9472851.5364652.642476e-08
0.95141.536392.685180e-08
0.9555331.5363152.728069e-08
0.9596841.5362412.771145e-08
0.9638531.5361672.814407e-08
0.9680411.5360932.857858e-08
0.9722461.5360192.901497e-08
0.976471.5359462.945326e-08
0.9807121.5358732.989346e-08
0.9849721.53583.033556e-08
0.9892511.5357273.077959e-08
0.9935491.5356553.122554e-08
0.9978651.5355833.167344e-08
11.5355473.189500e-08
1.00221.5355113.175446e-08
1.006551.5354393.147632e-08
1.010931.5353673.119697e-08
1.015321.5352963.091641e-08
1.019731.5352253.063463e-08
1.024161.5351543.035162e-08
1.028611.5350833.006738e-08
1.033081.5350122.978191e-08
1.037561.5349412.949520e-08
1.042071.5348712.920724e-08
1.04661.5348012.891804e-08
1.051151.534732.862757e-08
1.055711.534662.833585e-08
1.06031.534592.804285e-08
1.06491.5345212.774859e-08
1.069531.5344512.745304e-08
1.074181.5343812.715621e-08
1.078841.5343122.685810e-08
1.083531.5342432.655868e-08
1.088241.5341732.625797e-08
1.092961.5341042.595595e-08
1.097711.5340352.565262e-08
1.102481.5339662.534797e-08
1.107271.5338972.504200e-08
1.112081.5338282.473469e-08
1.116911.5337592.442606e-08
1.121761.533692.411608e-08
1.126641.5336222.380475e-08
1.131531.5335532.349208e-08
1.136451.5334842.317804e-08
1.141381.5334162.286264e-08
1.146341.5333472.254587e-08
1.151321.5332792.222772e-08
1.156321.533212.190819e-08
1.161351.5331412.158728e-08
1.166391.5330732.126497e-08
1.171461.5330042.094126e-08
1.176551.5329362.061614e-08
1.181661.5328672.028961e-08
1.186791.5327991.996166e-08
1.191951.532731.963229e-08
1.197131.5326611.930149e-08
1.21.5326231.911800e-08
1.202331.5325931.980655e-08
1.207551.5325242.135110e-08
1.21281.5324552.290236e-08
1.218071.5323862.446036e-08
1.223361.5323172.602513e-08
1.228671.5322482.759670e-08
1.234011.5321792.917509e-08
1.239371.532113.076034e-08
1.244751.5320413.235248e-08
1.250161.5319723.395153e-08
1.255591.5319023.555753e-08
1.261051.5318333.717051e-08
1.266531.5317633.879049e-08
1.272031.5316944.041752e-08
1.277551.5316244.205161e-08
1.28311.5315544.369280e-08
1.288681.5314844.534111e-08
1.294281.5314144.699659e-08
1.29991.5313434.865927e-08
1.305551.5312735.032916e-08
1.311221.5312025.200631e-08
1.316911.5311315.369074e-08
1.322641.5310615.538249e-08
1.328381.5309895.708160e-08
1.334151.5309185.878808e-08
1.339951.5308476.050198e-08
1.345771.5307756.222332e-08
1.351621.5307036.395214e-08
1.357491.5306316.568847e-08
1.363381.5305596.743234e-08
1.369311.5304876.918379e-08
1.375261.5304147.094285e-08
1.381231.5303417.270955e-08
1.387231.5302687.448392e-08
1.393261.5301957.626600e-08
1.399311.5301217.805583e-08
1.41.5301137.826000e-08
1.405391.5300487.959904e-08
1.411491.5299748.111621e-08
1.417631.5298998.263998e-08
1.423781.5298258.417037e-08
1.429971.529758.570740e-08
1.436181.5296758.725111e-08
1.442421.5295998.880153e-08
1.448691.5295249.035869e-08
1.454981.5294489.192261e-08
1.46131.5293729.349332e-08
1.467651.5292959.507085e-08
1.474031.5292189.665524e-08
1.480431.5291419.824652e-08
1.486861.5290649.984470e-08
1.493321.5289861.014498e-07
1.499811.5289081.030619e-07
1.506321.5288291.046810e-07
1.512871.528751.063072e-07
1.519441.5286711.079404e-07
1.526041.5285921.095807e-07
1.532671.5285121.112281e-07
1.539331.5284311.128827e-07
1.546011.5283511.145444e-07
1.552731.528271.162134e-07
1.559481.5281881.178897e-07
1.566251.5281061.195732e-07
1.573051.5280241.212640e-07
1.579891.5279421.229622e-07
1.586751.5278581.246678e-07
1.593641.5277751.263807e-07
1.61.5276981.279600e-07
1.600571.5276911.291724e-07
1.607521.5276071.440162e-07
1.61451.5275221.589244e-07
1.621521.5274371.738975e-07
1.628561.5273511.889355e-07
1.635641.5272652.040389e-07
1.642741.5271782.192080e-07
1.649881.5270912.344429e-07
1.657051.5270032.497440e-07
1.664251.5269152.651116e-07
1.671481.5268262.805459e-07
1.678741.5267372.960473e-07
1.686031.5266483.116160e-07
1.693351.5265573.272523e-07
1.700711.5264673.429566e-07
1.70811.5263753.587291e-07
1.715521.5262843.745702e-07
1.722971.5261913.904800e-07
1.730461.5260984.064590e-07
1.737971.5260054.225074e-07
1.745521.5259114.386255e-07
1.753111.5258164.548136e-07
1.760721.5257214.710720e-07
1.768371.5256254.874011e-07
1.776051.5255285.038011e-07
1.783771.5254315.202723e-07
1.791521.5253345.368152e-07
1.79931.5252355.534298e-07
1.81.5252265.549200e-07
1.807121.5251365.824040e-07
1.814971.5250376.127142e-07
1.822851.5249366.431560e-07
1.830771.5248356.737301e-07
1.838731.5247347.044370e-07
1.846711.5246317.352774e-07
1.854741.5245287.662516e-07
1.862791.5244257.973605e-07
1.870891.524328.286045e-07
1.879011.5242158.599842e-07
1.887181.5241098.915003e-07
1.895371.5240029.231532e-07
1.903611.5238959.549437e-07
1.911881.5237879.868723e-07
1.920181.5236781.018940e-06
1.928531.5235681.051146e-06
1.93691.5234581.083493e-06
1.945321.5233471.115980e-06
1.953771.5232351.148608e-06
1.962261.5231221.181378e-06
1.970781.5230081.214290e-06
1.979341.5228941.247345e-06
1.987941.5227781.280544e-06
1.996581.5226621.313887e-06
21.5226161.327100e-06
2.005251.5225451.372401e-06
2.013961.5224271.447549e-06
2.022711.5223081.523023e-06
2.03151.5221891.598825e-06
2.040321.5220681.674957e-06
2.049191.5219471.751419e-06
2.058091.5218241.828213e-06

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
—