Optical constants

Refractive index of J-LLF6 (HIKARI)

J-LLF6: 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
1.53172
Extinction coefficient k
3.39405e-08
Permittivity ε1
2.34616
Permittivity ε2
1.03975e-07
Absorption coefficient α
0.00725849 cm⁻¹
Penetration depth δ = λ/(2πk)
2.75539e+09 nm
Abbe number Vd
48.78
Chromatic dispersion dn/dλ
-0.0558419 µm⁻¹
Group index ng
1.56453
Group velocity dispersion
102.242 fs²/mm
Dispersion parameter D
-557.784 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-LLF6 (HIKARI): J-LLF6
hikari_j_llf6 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LLF6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_llf6.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_llf6.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=2.30465477−0.00842372028⁢λ2.0−8.53219261×10-5⁢λ4.0+0.0143763145⁢λ−2.0+0.000330848944⁢λ−4.0−4.10026783×10-6⁢λ−6.0+1.57001947×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.30465477
C2-0.00842372028
C32.0
C4-8.53219261e-05
C54.0
C60.0143763145
C7-2.0
C80.000330848944
C9-4.0
C10-4.10026783e-06
C11-6.0
C121.57001947e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -3.47958e-06 9.54698e-09 3.38453e-13 9.53251e-07 1.02788e-09 8e-09
nd
1.531720
Vd
48.779637
density
value: 2510
thermal expansion
value: 8.2e-06, temperature range: 243 343
dPgF
-0.0003
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -4.82e-07 K⁻¹ at 633 nm, dn/dT = -1.25e-06 K⁻¹ at 1310 nm, dn/dT = -1.31e-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-LLF6 (HIKARI), J-LLF6: n and k versus wavelength
λ (µm)nk
0.3650151.559915.406157e-07
0.3666011.5594654.777930e-07
0.3681931.5590264.146975e-07
0.3697931.5585933.513278e-07
0.371.5585373.431200e-07
0.3713991.5581653.194929e-07
0.3730131.5577422.922499e-07
0.3746331.5573252.648885e-07
0.3762611.5569132.374083e-07
0.3778951.5565062.098087e-07
0.3795371.5561041.820891e-07
0.381.5559921.742700e-07
0.3811861.5557071.648152e-07
0.3828421.5553151.516108e-07
0.3845051.5549281.383489e-07
0.3861751.5545451.250295e-07
0.3878531.5541671.116522e-07
0.3895381.5537949.821680e-08
0.391.5536929.453100e-08
0.391231.5534258.961674e-08
0.392931.553068.282635e-08
0.3946371.55277.600646e-08
0.3963511.5523436.915694e-08
0.3980731.5519916.227767e-08
0.3998021.5516445.536851e-08
0.41.5516045.457800e-08
0.4015391.55135.348317e-08
0.4032831.550965.224222e-08
0.4050351.5506245.099588e-08
0.4067951.5502924.974412e-08
0.4085621.5499634.848693e-08
0.4103371.5496394.722427e-08
0.412121.5493184.595613e-08
0.413911.5490014.468248e-08
0.4157081.5486874.340330e-08
0.4175141.5483764.211856e-08
0.4193281.548074.082823e-08
0.421.5479574.035000e-08
0.4211491.5477664.046040e-08
0.4229791.5474664.063613e-08
0.4248171.547174.081263e-08
0.4266621.5468764.098989e-08
0.4285161.5465864.116792e-08
0.4303771.5462994.134672e-08
0.4322471.5460154.152630e-08
0.4341251.5457344.170666e-08
0.436011.5454564.188781e-08
0.4379051.5451814.206974e-08
0.4398071.5449094.225246e-08
0.441.5448814.227100e-08
0.4417181.544644.211796e-08
0.4436371.5443734.194699e-08
0.4455641.544114.177527e-08
0.4474991.5438494.160280e-08
0.4494431.5435914.142959e-08
0.4513961.5433364.125562e-08
0.4533571.5430834.108090e-08
0.4553261.5428334.090542e-08
0.4573041.5425864.072917e-08
0.4592911.5423414.055216e-08
0.461.5422554.048900e-08
0.4612861.5420994.010592e-08
0.463291.5418593.950915e-08
0.4653031.5416213.890979e-08
0.4673241.5413863.830782e-08
0.4693541.5411543.770324e-08
0.4713931.5409243.709603e-08
0.4734411.5406963.648618e-08
0.4754981.540473.587368e-08
0.4775641.5402473.525852e-08
0.4796381.5400263.464069e-08
0.481.5399873.453300e-08
0.4817221.5398073.431137e-08
0.4838151.539593.404204e-08
0.4859171.5393753.377154e-08
0.4880271.5391633.349986e-08
0.4901481.5389523.322700e-08
0.4922771.5387443.295296e-08
0.4944151.5385383.267773e-08
0.4965631.5383333.240130e-08
0.4987211.5381313.212367e-08
0.51.5380123.195900e-08
0.5008871.5379313.201570e-08
0.5030631.5377323.215479e-08
0.5052481.5375363.229448e-08
0.5074431.5373413.243478e-08
0.5096481.5371483.257569e-08
0.5118621.5369573.271721e-08
0.5140861.5367683.285935e-08
0.5163191.5365813.300210e-08
0.5185621.5363953.314547e-08
0.5208151.5362113.328947e-08
0.5230771.5360293.343409e-08
0.5253491.5358493.357934e-08
0.5276321.535673.372522e-08
0.5299241.5354933.387174e-08
0.5322261.5353183.401889e-08
0.5345381.5351443.416668e-08
0.536861.5349723.431511e-08
0.5391931.5348013.446419e-08
0.5415351.5346323.461391e-08
0.5438871.5344653.476429e-08
0.546251.5342993.491532e-08
0.5486231.5341343.506700e-08
0.551.534043.515500e-08
0.5510071.5339713.512249e-08
0.55341.533813.504517e-08
0.5558041.533653.496752e-08
0.5582191.5334913.488953e-08
0.5606441.5333343.481120e-08
0.563081.5331783.473253e-08
0.5655261.5330243.465352e-08
0.5679821.5328713.457417e-08
0.570451.5327193.449447e-08
0.5729281.5325693.441442e-08
0.5754171.532423.433403e-08
0.5779171.5322723.425329e-08
0.5804271.5321263.417219e-08
0.5829491.5319813.409075e-08
0.5854811.5318373.400895e-08
0.5880251.5316943.392680e-08
0.5905791.5315533.384429e-08
0.5931451.5314133.376142e-08
0.5957221.5312743.367819e-08
0.598311.5311363.359460e-08
0.61.5310473.354000e-08
0.6009091.5309993.368555e-08
0.6035191.5308643.410359e-08
0.6061411.5307293.452345e-08
0.6087741.5305963.494514e-08
0.6114191.5304643.536865e-08
0.6140751.5303333.579401e-08
0.6167431.5302033.622121e-08
0.6194221.5300743.665027e-08
0.6221131.5299463.708119e-08
0.6248161.529823.751399e-08
0.627531.5296943.794866e-08
0.6302561.5295693.838523e-08
0.6329941.5294453.882369e-08
0.6357441.5293233.926405e-08
0.6385061.5292013.970633e-08
0.641281.529084.015053e-08
0.6440661.5289614.059666e-08
0.6468641.5288424.104473e-08
0.6496741.5287244.149474e-08
0.651.528714.154700e-08
0.6524961.5286074.142634e-08
0.6553311.5284914.128932e-08
0.6581781.5283764.115170e-08
0.6610371.5282624.101348e-08
0.6639081.5281494.087466e-08
0.6667931.5280364.073524e-08
0.6696891.5279254.059522e-08
0.6725991.5278144.045458e-08
0.6755211.5277044.031334e-08
0.6784551.5275954.017148e-08
0.6814031.5274874.002900e-08
0.6843631.5273793.988591e-08
0.6873361.5272733.974219e-08
0.6903221.5271673.959785e-08
0.6933211.5270623.945288e-08
0.6963331.5269573.930728e-08
0.6993581.5268543.916105e-08
0.71.5268323.913000e-08
0.7023961.5267513.957142e-08
0.7054471.5266494.013364e-08
0.7085121.5265484.069830e-08
0.711591.5264474.126541e-08
0.7146811.5263484.183498e-08
0.7177861.5262484.240703e-08
0.7209041.526154.298156e-08
0.7240361.5260524.355859e-08
0.7271811.5259554.413813e-08
0.730341.5258594.472018e-08
0.7335131.5257634.530477e-08
0.73671.5256684.589189e-08
0.73991.5255734.648156e-08
0.7431141.525484.707379e-08
0.7463421.5253864.766860e-08
0.7495851.5252944.826599e-08
0.7528411.5252024.886598e-08
0.7561121.5251114.946857e-08
0.7593961.525025.007378e-08
0.7626951.524935.068162e-08
0.7660091.524845.129210e-08
0.7693361.5247515.190524e-08
0.7726791.5246635.252103e-08
0.7760351.5245755.313950e-08
0.7794071.5244875.376066e-08
0.7827931.52445.438452e-08
0.7861931.5243145.501109e-08
0.7896091.5242285.564037e-08
0.7930391.5241435.627240e-08
0.7964841.5240585.690716e-08
0.7999441.5239745.754469e-08
0.81.5239735.755500e-08
0.8034191.523895.656856e-08
0.8069091.5238075.556163e-08
0.8104151.5237245.455032e-08
0.8139351.5236425.353462e-08
0.8174711.523565.251450e-08
0.8210231.5234795.148996e-08
0.8245891.5233985.046096e-08
0.8281721.5233174.942749e-08
0.8317691.5232374.838954e-08
0.8353831.5231584.734707e-08
0.8390121.5230784.630007e-08
0.8426571.5234.524853e-08
0.8463171.5229214.419242e-08
0.8499941.5228434.313172e-08
0.8536871.5227664.206641e-08
0.8573951.5226884.099648e-08
0.861121.5226113.992189e-08
0.8648611.5225353.884264e-08
0.8686181.5224593.775870e-08
0.8723911.5223833.667005e-08
0.8761811.5223083.557668e-08
0.8799881.5222333.447855e-08
0.8838111.5221583.337565e-08
0.887651.5220843.226796e-08
0.8915061.522013.115546e-08
0.8953791.5219363.003812e-08
0.8992691.5218632.891593e-08
0.91.5218492.870500e-08
0.9031751.521792.880630e-08
0.9070991.5217172.893146e-08
0.911041.5216442.905717e-08
0.9149981.5215722.918342e-08
0.9189721.52152.931022e-08
0.9229651.5214292.943757e-08
0.9269741.5213572.956548e-08
0.9310011.5212862.969394e-08
0.9350461.5212162.982296e-08
0.9391081.5211452.995254e-08
0.9431881.5210753.008268e-08
0.9472851.5210053.021339e-08
0.95141.5209353.034467e-08
0.9555331.5208653.047651e-08
0.9596841.5207963.060893e-08
0.9638531.5207273.074193e-08
0.9680411.5206583.087550e-08
0.9722461.5205893.100965e-08
0.976471.5205213.114438e-08
0.9807121.5204533.127970e-08
0.9849721.5203853.141561e-08
0.9892511.5203173.155211e-08
0.9935491.5202493.168920e-08
0.9978651.5201813.182689e-08
11.5201483.189500e-08
1.00221.5201143.185976e-08
1.006551.5200473.179001e-08
1.010931.519983.171996e-08
1.015321.5199133.164961e-08
1.019731.5198463.157894e-08
1.024161.519783.150798e-08
1.028611.5197133.143670e-08
1.033081.5196473.136512e-08
1.037561.5195813.129322e-08
1.042071.5195143.122101e-08
1.04661.5194483.114849e-08
1.051151.5193833.107565e-08
1.055711.5193173.100250e-08
1.06031.5192513.092902e-08
1.06491.5191863.085523e-08
1.069531.519123.078112e-08
1.074181.5190553.070669e-08
1.078841.5189893.063193e-08
1.083531.5189243.055685e-08
1.088241.5188593.048144e-08
1.092961.5187943.040571e-08
1.097711.5187293.032964e-08
1.102481.5186643.025325e-08
1.107271.5185993.017652e-08
1.112081.5185343.009946e-08
1.116911.5184693.002206e-08
1.121761.5184042.994433e-08
1.126641.518342.986626e-08
1.131531.5182752.978786e-08
1.136451.518212.970911e-08
1.141381.5181452.963002e-08
1.146341.518082.955058e-08
1.151321.5180162.947080e-08
1.156321.5179512.939068e-08
1.161351.5178862.931020e-08
1.166391.5178212.922938e-08
1.171461.5177562.914821e-08
1.176551.5176922.906668e-08
1.181661.5176272.898480e-08
1.186791.5175622.890256e-08
1.191951.5174972.881997e-08
1.197131.5174322.873701e-08
1.21.5173962.869100e-08
1.202331.5173672.926810e-08
1.207551.5173013.056264e-08
1.21281.5172363.186281e-08
1.218071.5171713.316862e-08
1.223361.5171063.448011e-08
1.228671.517043.579730e-08
1.234011.5169753.712020e-08
1.239371.5169093.844886e-08
1.244751.5168433.978328e-08
1.250161.5167774.112351e-08
1.255591.5167124.246955e-08
1.261051.5166464.382145e-08
1.266531.5165794.517921e-08
1.272031.5165134.654288e-08
1.277551.5164474.791247e-08
1.28311.516384.928800e-08
1.288681.5163135.066952e-08
1.294281.5162475.205703e-08
1.29991.516185.345058e-08
1.305551.5161125.485018e-08
1.311221.5160455.625585e-08
1.316911.5159785.766764e-08
1.322641.515915.908555e-08
1.328381.5158426.050963e-08
1.334151.5157746.193990e-08
1.339951.5157066.337637e-08
1.345771.5156376.481909e-08
1.351621.5155696.626807e-08
1.357491.51556.772335e-08
1.363381.5154316.918496e-08
1.369311.5153627.065291e-08
1.375261.5152927.212724e-08
1.381231.5152237.360797e-08
1.387231.5151537.509513e-08
1.393261.5150827.658876e-08
1.399311.5150127.808888e-08
1.41.5150047.826000e-08
1.405391.5149417.994579e-08
1.411491.514878.185584e-08
1.417631.5147998.377419e-08
1.423781.5147288.570088e-08
1.429971.5146568.763593e-08
1.436181.5145848.957940e-08
1.442421.5145119.153130e-08
1.448691.5144399.349169e-08
1.454981.5143669.546059e-08
1.46131.5142939.743804e-08
1.467651.5142199.942409e-08
1.474031.5141451.014188e-07
1.480431.5140711.034221e-07
1.486861.5139961.054341e-07
1.493321.5139221.074549e-07
1.499811.5138461.094845e-07
1.506321.5137711.115229e-07
1.512871.5136951.135701e-07
1.519441.5136191.156262e-07
1.526041.5135421.176913e-07
1.532671.5134651.197653e-07
1.539331.5133871.218483e-07
1.546011.513311.239404e-07
1.552731.5132311.260416e-07
1.559481.5131531.281519e-07
1.566251.5130741.302714e-07
1.573051.5129941.324001e-07
1.579891.5129141.345380e-07
1.586751.5128341.366852e-07
1.593641.5127531.388418e-07
1.61.5126791.408300e-07
1.600571.5126721.421329e-07
1.607521.512591.580847e-07
1.61451.5125081.741057e-07
1.621521.5124261.901964e-07
1.628561.5123432.063570e-07
1.635641.5122592.225878e-07
1.642741.5121752.388891e-07
1.649881.5120912.552612e-07
1.657051.5120062.717044e-07
1.664251.511922.882191e-07
1.671481.5118343.048055e-07
1.678741.5117483.214640e-07
1.686031.511663.381948e-07
1.693351.5115733.549983e-07
1.700711.5114853.718748e-07
1.70811.5113963.888247e-07
1.715521.5113074.058481e-07
1.722971.5112174.229456e-07
1.730461.5111264.401173e-07
1.737971.5110354.573635e-07
1.745521.5109444.746848e-07
1.753111.5108514.920812e-07
1.760721.5107595.095533e-07
1.768371.5106655.271012e-07
1.776051.5105715.447254e-07
1.783771.5104765.624261e-07
1.791521.5103815.802037e-07
1.79931.5102855.980586e-07
1.81.5102765.996600e-07
1.807121.5101886.292568e-07
1.814971.5100916.618970e-07
1.822851.5099936.946790e-07
1.830771.5098947.276035e-07
1.838731.5097957.606709e-07
1.846711.5096957.938820e-07
1.854741.5095948.272374e-07
1.862791.5094928.607377e-07
1.870891.509398.943835e-07
1.879011.5092879.281755e-07
1.887181.5091839.621143e-07
1.895371.5090799.962005e-07
1.903611.5089741.030435e-06
1.911881.5088681.064818e-06
1.920181.5087611.099350e-06
1.928531.5086531.134033e-06
1.93691.5085451.168866e-06
1.945321.5084351.203850e-06
1.953771.5083251.238987e-06
1.962261.5082141.274276e-06
1.970781.5081031.309718e-06
1.979341.507991.345314e-06
1.987941.5078761.381065e-06
1.996581.5077621.416971e-06
21.5077171.431200e-06
2.005251.5076471.479274e-06
2.013961.5075311.559021e-06
2.022711.5074141.639115e-06
2.03151.5072961.719557e-06
2.040321.5071771.800348e-06
2.049191.5070571.881490e-06
2.058091.5069361.962985e-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
—